
Time bar (total: 7.1s)
| 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)
| 859.0ms | 8 253× | 0 | valid |
| 0.0ms | 1× | 3 | valid |
| 0.0ms | 2× | 1 | valid |
ival-cos: 196.0ms (35.5% of total)ival-sin: 196.0ms (35.5% of total)ival-mult: 64.0ms (11.6% of total)ival-add: 45.0ms (8.2% of total)ival-sub: 41.0ms (7.4% of total)ival-true: 6.0ms (1.1% of total)ival-assert: 3.0ms (0.5% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 x (cos.f64 y)) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 z (sin.f64 y)) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 47.0ms | 512× | 0 | valid |
Compiled 91 to 36 computations (60.4% saved)
ival-sin: 11.0ms (34.8% of total)ival-cos: 10.0ms (31.6% of total)ival-add: 4.0ms (12.6% of total)ival-mult: 4.0ms (12.6% of total)ival-sub: 2.0ms (6.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 400× | lower-fma.f64 |
| 400× | lower-fma.f32 |
| 358× | sub-neg |
| 352× | cancel-sign-sub-inv |
| 302× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 90 |
| 1 | 101 | 84 |
| 2 | 248 | 83 |
| 3 | 583 | 83 |
| 4 | 1151 | 83 |
| 5 | 1530 | 83 |
| 6 | 1814 | 83 |
| 7 | 2069 | 83 |
| 8 | 2092 | 83 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 22 | 9 |
| 2 | 42 | 9 |
| 3 | 66 | 9 |
| 4 | 97 | 9 |
| 5 | 151 | 9 |
| 6 | 264 | 9 |
| 7 | 398 | 9 |
| 8 | 480 | 9 |
| 9 | 528 | 9 |
| 10 | 558 | 9 |
| 0 | 558 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
Compiled 12 to 8 computations (33.3% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 8 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (sin.f64 y)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (+.f64 x (cos.f64 y)) | |
| cost-diff | 0 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 400× | lower-fma.f64 |
| 400× | lower-fma.f32 |
| 160× | lower-*.f32 |
| 158× | lower-*.f64 |
| 120× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 22 | 24 |
| 2 | 42 | 24 |
| 3 | 66 | 24 |
| 4 | 97 | 24 |
| 5 | 151 | 24 |
| 6 | 264 | 24 |
| 7 | 398 | 24 |
| 8 | 480 | 24 |
| 9 | 528 | 24 |
| 10 | 558 | 24 |
| 0 | 558 | 24 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(+.f64 x (cos.f64 y)) |
(+.f64 (cos.f64 y) x) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.01171875 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.1171875 | (*.f64 z (sin.f64 y)) |
| 27.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-cos: 8.0ms (45.3% of total)ival-sin: 5.0ms (28.3% of total)ival-mult: 2.0ms (11.3% of total)ival-sub: 1.0ms (5.7% of total)ival-add: 1.0ms (5.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 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>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (taylor inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (taylor inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (taylor inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* -1 (* y z)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* y (- (* -1/2 y) z)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* -1/2 (pow y 2)))) (taylor 0 y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) (taylor 0 y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) (taylor 0 y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (pow y 2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* -1/6 (* (pow y 2) z)))) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor -inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor -inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor -inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor -inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (- (cos y) (* z (sin y))) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor 0 x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | y | @ | -inf | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (sin y)) |
| 1.0ms | z | @ | 0 | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (sin y)) |
| 1.0ms | z | @ | -inf | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (sin y)) |
| 1.0ms | z | @ | inf | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (sin y)) |
| 1.0ms | y | @ | 0 | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (sin y)) |
| 1× | egg-herbie |
| 12 396× | lower-fma.f64 |
| 12 396× | lower-fma.f32 |
| 3 376× | lower-*.f64 |
| 3 376× | lower-*.f32 |
| 2 858× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 118 | 674 |
| 1 | 334 | 669 |
| 2 | 869 | 661 |
| 3 | 2601 | 657 |
| 4 | 5308 | 657 |
| 5 | 7444 | 657 |
| 0 | 8081 | 629 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
| Outputs |
|---|
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (+ x (* -1 (* y z)))) |
(-.f64 x (fma.f64 z y #s(literal -1 binary64))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64)) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 (*.f64 z (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(*.f64 (*.f64 z (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.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 (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(- (cos y) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(cos y) |
(cos.f64 y) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
x |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
| 4 620× | lower-*.f32 |
| 4 618× | lower-*.f64 |
| 4 548× | lower-fma.f64 |
| 4 548× | lower-fma.f32 |
| 2 418× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 47 | 21 |
| 2 | 388 | 21 |
| 3 | 5630 | 21 |
| 0 | 8225 | 21 |
| 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)) |
(sin.f64 y) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)))) |
(*.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 (fma.f64 (sin.f64 y) z (+.f64 (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 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) (-.f64 (*.f64 (fma.f64 (sin.f64 y) z (+.f64 (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)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) (fma.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (+.f64 (cos.f64 y) x)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(*.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 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))) (fma.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) |
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (-.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (*.f64 x x)))) |
(*.f64 (neg.f64 (fma.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))))) |
(*.f64 (neg.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 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))))) |
(*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)))) |
(*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))))) |
(*.f64 (fma.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)))) |
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))))) |
(*.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 #s(literal 1 binary64) (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
(pow.f64 (/.f64 (-.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (-.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (*.f64 x x)) (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) #s(literal -1 binary64)) |
(/.f64 (*.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 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (+.f64 (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 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)))) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z)) (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))) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))))) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 9 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))))) (+.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 z (+.f64 (cos.f64 y) x)) (sin.f64 y)) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) |
(/.f64 (-.f64 (*.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 (neg.f64 z) (sin.f64 y)) (+.f64 (cos.f64 y) x))) |
(/.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 z z) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64) (-.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (-.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) (pow.f64 (cos.f64 y) #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (-.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))))) |
(/.f64 (neg.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)))) |
(/.f64 (neg.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)))) |
(/.f64 (-.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 x (cos.f64 y))) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 x (cos.f64 y)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)))) |
(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)) |
(sin.f64 y) |
Compiled 7 525 to 624 computations (91.7% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 280 | 11 | 291 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 281 | 11 | 292 |
| Status | Accuracy | Program |
|---|---|---|
| 73.7% | (fma.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (cos.f64 y))) x) | |
| ▶ | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) |
| 76.7% | (-.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))) | |
| ▶ | 88.3% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 57.3% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| 59.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) | |
| ▶ | 60.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
| 65.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) | |
| ▶ | 73.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
| ▶ | 61.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| 28.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
Compiled 326 to 204 computations (37.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (cos y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (+.f64 (cos.f64 y) x) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| cost-diff | 0 | (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 128 | (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) |
| 2 152× | lower-fma.f32 |
| 2 148× | lower-fma.f64 |
| 600× | lower-*.f32 |
| 596× | lower-*.f64 |
| 544× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 164 |
| 0 | 45 | 160 |
| 1 | 78 | 160 |
| 2 | 144 | 160 |
| 3 | 287 | 160 |
| 4 | 445 | 160 |
| 5 | 670 | 160 |
| 6 | 1057 | 160 |
| 7 | 1581 | 160 |
| 8 | 2034 | 160 |
| 9 | 2206 | 160 |
| 10 | 2224 | 160 |
| 11 | 2242 | 160 |
| 12 | 2258 | 160 |
| 13 | 2267 | 160 |
| 14 | 2268 | 160 |
| 0 | 2268 | 158 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
z |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) |
(/.f64 #s(literal -1 binary64) (-.f64 (-.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(+.f64 (cos.f64 y) x) |
(+.f64 x (cos.f64 y)) |
(cos.f64 y) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64)))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) |
(-.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
z |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) |
(+.f64 (cos.f64 y) x) |
(+.f64 x (cos.f64 y)) |
(cos.f64 y) |
y |
x |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
y |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.01171875 | (-.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 | 26.45647227701492 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 0 | (+.f64 (cos.f64 y) x) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 17.22638130383956 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) | |
| accuracy | 0 | (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| accuracy | 25.14769645294143 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 24.373109574581846 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.0625 | (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) | |
| accuracy | 0.109375 | (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) | |
| accuracy | 0.193691259768442 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) |
| 45.0ms | 256× | 0 | valid |
Compiled 144 to 23 computations (84% saved)
ival-mult: 6.0ms (21% of total)ival-add: 5.0ms (17.5% of total)ival-sin: 5.0ms (17.5% of total)ival-cos: 4.0ms (14% of total)ival-div: 3.0ms (10.5% of total)ival-sub: 2.0ms (7% of total)ival-neg: 1.0ms (3.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) (patch (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/2 binary64) y) (patch (*.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 (cos.f64 y) x) (patch (+.f64 (cos.f64 y) x) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (patch (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 (cos.f64 y) x) (patch (+.f64 (cos.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (cos.f64 y) x) (patch (+.f64 (cos.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (cos.f64 y) x) (patch (+.f64 (cos.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (cos.f64 y) x) (patch (+.f64 (cos.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (patch (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (patch (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (patch (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (patch (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | z | @ | 0 | ((/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (+ (* (neg z) (sin y)) (+ (cos y) x)) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (sin y)) |
| 2.0ms | y | @ | 0 | ((/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (+ (* (neg z) (sin y)) (+ (cos y) x)) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (sin y)) |
| 2.0ms | y | @ | -inf | ((/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (+ (* (neg z) (sin y)) (+ (cos y) x)) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (sin y)) |
| 2.0ms | z | @ | inf | ((/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (+ (* (neg z) (sin y)) (+ (cos y) x)) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (sin y)) |
| 2.0ms | y | @ | inf | ((/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (+ (* (neg z) (sin y)) (+ (cos y) x)) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (sin y)) |
| 1× | egg-herbie |
| 10 150× | lower-fma.f64 |
| 10 150× | lower-fma.f32 |
| 4 998× | lower-+.f64 |
| 4 998× | lower-+.f32 |
| 4 430× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 366 | 4460 |
| 1 | 1104 | 4294 |
| 2 | 3313 | 4186 |
| 0 | 8146 | 4061 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(/ 1 (+ x (cos y))) |
(+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))) |
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* -1/2 y) |
(+ (* -1 z) (* -1/2 y)) |
(+ (* -1 z) (* -1/2 y)) |
(+ (* -1 z) (* -1/2 y)) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(/ -1 (* z (sin y))) |
(/ (- (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z) |
(/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z) |
(/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (+ (/ (cos y) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y))))))) z) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 z) |
(* z (- (* -1/2 (/ y z)) 1)) |
(* z (- (* -1/2 (/ y z)) 1)) |
(* z (- (* -1/2 (/ y z)) 1)) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(/ -1 (* z (sin y))) |
(* -1 (/ (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2))))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (sin y)))) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (pow (sin y) 2))) (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (sin y)))) z)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* y z)) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(/ 1 (+ 1 x)) |
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2))) |
(+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x))) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x))) (+ (* -1/2 (/ z (pow (+ 1 x) 3))) (* 1/6 (/ z (pow (+ 1 x) 2))))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(* -1 z) |
(- (* -1/2 y) z) |
(- (* -1/2 y) z) |
(- (* -1/2 y) z) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y)))))) |
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y)))))) |
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y)))))) |
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y)))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2)) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(* -1/2 y) |
(* y (- (* -1 (/ z y)) 1/2)) |
(* y (- (* -1 (/ z y)) 1/2)) |
(* y (- (* -1 (/ z y)) 1/2)) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y)))))) |
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y)))))) |
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y)))))) |
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y)))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(/ 1 (+ (cos y) (* -1 (* z (sin y))))) |
(+ (* -1 (/ x (pow (+ (cos y) (* -1 (* z (sin y)))) 2))) (/ 1 (+ (cos y) (* -1 (* z (sin y)))))) |
(+ (* x (- (/ x (pow (+ (cos y) (* -1 (* z (sin y)))) 3)) (/ 1 (pow (+ (cos y) (* -1 (* z (sin y)))) 2)))) (/ 1 (+ (cos y) (* -1 (* z (sin y)))))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ (cos y) (* -1 (* z (sin y)))) 4))) (/ 1 (pow (+ (cos y) (* -1 (* z (sin y)))) 3)))) (/ 1 (pow (+ (cos y) (* -1 (* z (sin y)))) 2)))) (/ 1 (+ (cos y) (* -1 (* z (sin y)))))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
(+ 1 (* y (- (* -1/2 y) z))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x))) x) |
(/ (- (+ 1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2))) (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) x) |
(/ (- (+ 1 (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) (pow x 3)))) (+ (* -1 (/ (* z (sin y)) x)) (+ (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2))) (/ (cos y) x)))) x) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(/ 1 x) |
(* -1 (/ (- (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) x) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) x) (pow (+ (cos y) (* -1 (* z (sin y)))) 2)) x)) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x)) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
| Outputs |
|---|
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(/ 1 (+ x (cos y))) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)) |
(+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2))) |
(fma.f64 (sin.f64 y) (/.f64 z (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))) |
(fma.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 z (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64))) (/.f64 (sin.f64 y) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))) |
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))) |
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 z (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)))) z (/.f64 (sin.f64 y) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(+ (* -1 z) (* -1/2 y)) |
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) |
(+ (* -1 z) (* -1/2 y)) |
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) |
(+ (* -1 z) (* -1/2 y)) |
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(/ -1 (* z (sin y))) |
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) |
(/ (- (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (+.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z)) z) |
(/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z) |
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(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (cos y) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* y (- (* -1/2 y) z))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(literal 1 binary64)) |
(+ 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 (- (* -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 (- (* -1/2 y) z)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) |
(- (cos y) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (cos y) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(cos y) |
(cos.f64 y) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(- (cos y) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(cos y) |
(cos.f64 y) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) x) |
(/ (- (+ 1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2))) (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) x) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (-.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) (pow x 3)))) (+ (* -1 (/ (* z (sin y)) x)) (+ (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2))) (/ (cos y) x)))) x) |
(/.f64 (-.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (-.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64))))) (pow.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 3 binary64))) x) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y) x) x (+.f64 #s(literal 1 binary64) x)) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y) x) x (+.f64 #s(literal 1 binary64) x)) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y) x) x (+.f64 #s(literal 1 binary64) x)) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
x |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
x |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) x) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (-.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) x) (pow (+ (cos y) (* -1 (* z (sin y)))) 2)) x)) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64))) x)) x) #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(literal 1 binary64)) x))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(literal 1 binary64)) x))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(literal 1 binary64)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x))) |
| 4 506× | lower-fma.f32 |
| 4 502× | lower-fma.f64 |
| 4 060× | lower-*.f32 |
| 4 056× | lower-*.f64 |
| 3 988× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 136 |
| 0 | 45 | 132 |
| 1 | 195 | 132 |
| 2 | 1617 | 132 |
| 0 | 8137 | 132 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(neg.f64 z) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) #s(literal 1 binary64)) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) (fma.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) (fma.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (fma.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 x x))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(fma.f64 x #s(literal 1 binary64) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(fma.f64 #s(literal 1 binary64) x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)))) (/.f64 (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) (neg.f64 z)))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) (neg.f64 z))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (fma.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) (neg.f64 z)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) (neg.f64 z))))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))) |
(-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) z)) |
(+.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)) x) |
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(+.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 x (*.f64 (sin.f64 y) z))) |
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) (+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))) |
(+.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))) |
(*.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(approx (cos y) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 x x)))) |
(pow.f64 (/.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 x x)) (fma.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 x x))) (neg.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))))) (neg.f64 (neg.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))))) (*.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64))) (-.f64 x #s(approx (cos y) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 x x)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64))))) (neg.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) |
(/.f64 (fma.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 x x)) (fma.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 x x)) (fma.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)))) |
(fma.f64 x #s(literal 1 binary64) #s(approx (cos y) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) x #s(approx (cos y) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (-.f64 x #s(approx (cos y) #s(literal 1 binary64))))) |
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
Compiled 28 723 to 2 095 computations (92.7% saved)
28 alts after pruning (25 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 174 | 23 | 1 197 |
| Fresh | 4 | 2 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 180 | 28 | 1 208 |
| Status | Accuracy | Program |
|---|---|---|
| 57.5% | (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 42.9% | (/.f64 (-.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) | |
| 58.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (fma.f64 (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) | |
| 26.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (+.f64 (/.f64 (cos.f64 y) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (/.f64 x (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)))) z))) | |
| 44.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) | |
| 28.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) | |
| ✓ | 88.3% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 60.2% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) | |
| 60.3% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) | |
| ▶ | 57.3% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 42.8% | (*.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) | |
| ▶ | 93.6% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) |
| 87.4% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) | |
| 28.7% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (neg.f64 (sin.f64 y)) z)) | |
| 29.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) | |
| 29.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| 65.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) | |
| ✓ | 73.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
| ▶ | 48.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
| ▶ | 49.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
| ✓ | 61.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| 40.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) | |
| 58.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y) x) x (+.f64 #s(literal 1 binary64) x)))) | |
| 2.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) | |
| 12.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) | |
| 73.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (/.f64 (cos.f64 y) x) x x))) | |
| 30.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) | |
| ▶ | 20.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
Compiled 843 to 482 computations (42.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (sin.f64 y)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | #s(approx (+ x (cos y)) (cos.f64 y)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| cost-diff | 0 | #s(approx (+ 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 | (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) | |
| cost-diff | 0 | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) | |
| cost-diff | 896 | (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
| 5 090× | lower-fma.f32 |
| 5 076× | lower-fma.f64 |
| 2 870× | lower-*.f32 |
| 2 866× | lower-*.f64 |
| 1 308× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 308 |
| 0 | 67 | 303 |
| 1 | 121 | 303 |
| 2 | 203 | 297 |
| 3 | 411 | 297 |
| 4 | 793 | 297 |
| 5 | 1470 | 297 |
| 6 | 3096 | 297 |
| 7 | 6296 | 297 |
| 0 | 8036 | 297 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(cos.f64 y) |
x |
#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))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
#s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 y y) |
y |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
#s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) |
#s(literal -1/720 binary64) |
(*.f64 y y) |
y |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
x |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
#s(approx (+ x (cos y)) (cos.f64 y)) |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(cos.f64 y) |
x |
#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))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
#s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (cos y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 y y) |
y |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
#s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) |
#s(literal -1/720 binary64) |
(*.f64 y y) |
y |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
x |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) z #s(approx (+ x (cos y)) (cos.f64 y))) |
#s(approx (+ x (cos y)) (cos.f64 y)) |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.01171875 | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.1171875 | (*.f64 z (sin.f64 y)) | |
| accuracy | 33.07571258156089 | #s(approx (+ x (cos y)) (cos.f64 y)) | |
| accuracy | 0.0390625 | (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) | |
| accuracy | 0.0546875 | (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) | |
| accuracy | 17.22638130383956 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| accuracy | 28.264782916429624 | #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0.04296875 | (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 0.109375 | (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) | |
| accuracy | 17.22638130383956 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| accuracy | 28.378688042506393 | #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 24.373109574581846 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) | |
| accuracy | 32.99838702226015 | #s(approx (+ 1 x) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.06640625 | (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) | |
| accuracy | 0.12109375 | (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) | |
| accuracy | 4.063220063083063 | (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
| 89.0ms | 256× | 0 | valid |
Compiled 199 to 36 computations (81.9% saved)
ival-mult: 24.0ms (34.8% of total)ival-add: 13.0ms (18.9% of total)const: 12.0ms (17.4% of total)ival-sin: 8.0ms (11.6% of total)ival-div: 5.0ms (7.3% of total)ival-cos: 5.0ms (7.3% of total)ival-sub: 1.0ms (1.5% of total)ival-neg: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) (patch (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) (patch #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (patch (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1 x) #s(literal 1 binary64)) (patch #s(approx (+ 1 x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) (patch (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) (patch (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ()) |
#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>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) (patch (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) (patch (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) (patch (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) (patch (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) (patch #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) (patch #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) (patch #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) (patch #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos y) x) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (patch (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (patch (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (patch (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (patch (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos y) (* -1 (* z (sin y)))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos y) (* -1 (* z (sin y)))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos y) (* -1 (* z (sin y)))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 z) (#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 (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#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 (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#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 (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#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 (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor inf z) (#s(alt (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) (patch (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) (taylor inf z) (#s(alt (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) (patch (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) (taylor inf z) (#s(alt (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) (patch (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) (taylor inf z) (#s(alt (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) (patch (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor inf z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) (patch #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) (taylor inf z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) (patch #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) (taylor inf z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) (patch #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) (taylor inf z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) (patch #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* z (sin y)) x)) (taylor inf z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (patch (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z)))) (taylor inf z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (patch (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z)))) (taylor inf z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (patch (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z)))) (taylor inf z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (patch (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor inf z) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (sin y)) (/ (cos y) z))) (taylor inf z) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (sin y)) (/ (cos y) z))) (taylor inf z) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (sin y)) (/ (cos y) z))) (taylor inf z) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor inf z) (#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 (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (taylor inf z) (#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>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) (patch (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) (patch (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) (patch (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) (patch (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | y | @ | inf | ((+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (neg z) (sin y)) (cos y)) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (sin y) (+ (* 1/24 (* y y)) -1/2) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2)) |
| 2.0ms | y | @ | -inf | ((+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (neg z) (sin y)) (cos y)) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (sin y) (+ (* 1/24 (* y y)) -1/2) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2)) |
| 2.0ms | x | @ | -inf | ((+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (neg z) (sin y)) (cos y)) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (sin y) (+ (* 1/24 (* y y)) -1/2) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2)) |
| 2.0ms | x | @ | inf | ((+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (neg z) (sin y)) (cos y)) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (sin y) (+ (* 1/24 (* y y)) -1/2) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2)) |
| 1.0ms | x | @ | 0 | ((+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (neg z) (sin y)) (cos y)) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (sin y) (+ (* 1/24 (* y y)) -1/2) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2)) |
| 1× | egg-herbie |
| 15 364× | lower-fma.f64 |
| 15 364× | lower-fma.f32 |
| 4 394× | lower-*.f64 |
| 4 394× | lower-*.f32 |
| 4 154× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 211 | 3757 |
| 1 | 613 | 3656 |
| 2 | 1521 | 3648 |
| 3 | 4166 | 3582 |
| 0 | 8157 | 3446 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(/ (cos y) x) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(cos y) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* -1 (* z (sin y))) |
(* 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)) x)) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z)))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z)))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z)))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (/ (cos y) z))) |
(* z (+ (* -1 (sin y)) (/ (cos y) z))) |
(* z (+ (* -1 (sin y)) (/ (cos y) z))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (/ (* z (sin y)) x)) |
(* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x)))) |
(* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x)))) |
(* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x)))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (cos y) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (cos y) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (cos y) z))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(/ 1 x) |
(+ (* -1 (/ (* y z) x)) (/ 1 x)) |
(+ (* y (+ (* -1 (/ z x)) (* -1/2 (/ y x)))) (/ 1 x)) |
(+ (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) (* 1/2 (/ 1 x)))))) (/ 1 x)) |
1 |
(+ 1 (* -1 (* y z))) |
(+ 1 (* y (+ (* -1 z) (* -1/2 y)))) |
(+ 1 (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
-1/2 |
(- (* 1/24 (pow y 2)) 1/2) |
(- (* 1/24 (pow y 2)) 1/2) |
(- (* 1/24 (pow y 2)) 1/2) |
1/24 |
(+ 1/24 (* -1/720 (pow y 2))) |
(+ 1/24 (* -1/720 (pow y 2))) |
(+ 1/24 (* -1/720 (pow y 2))) |
-1/2 |
(- (* 1/24 (pow y 2)) 1/2) |
(- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2) |
(- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2) |
(+ 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) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* 1/24 (pow y 4)) |
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* -1/720 (pow y 6)) |
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* 1/24 (pow y 2)) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* -1/720 (pow y 2)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* -1/720 (pow y 4)) |
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(+ 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) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* 1/24 (pow y 4)) |
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* -1/720 (pow y 6)) |
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* 1/24 (pow y 2)) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* -1/720 (pow y 2)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* -1/720 (pow y 4)) |
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(+ (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))))) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
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)))) |
(/ (+ (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 |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
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))) |
(/ (+ (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 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
| Outputs |
|---|
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (* -1 (* z (sin y)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(+ (cos y) (* -1 (* z (sin y)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(+ (cos y) (* -1 (* z (sin y)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* -1 (/ (* z (sin y)) x)) |
(*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z)))) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z)))) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z)))) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (+ (* -1 (sin y)) (/ (cos y) z))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(* z (+ (* -1 (sin y)) (/ (cos y) z))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(* z (+ (* -1 (sin y)) (/ (cos y) z))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (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) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
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(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(cos y) |
(cos.f64 y) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(- (cos y) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(cos y) |
(cos.f64 y) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
x |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
x |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
x |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
| 6 306× | lower-fma.f32 |
| 6 292× | lower-fma.f64 |
| 4 904× | lower-*.f32 |
| 4 900× | lower-*.f64 |
| 4 832× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 279 |
| 0 | 67 | 274 |
| 1 | 307 | 274 |
| 2 | 2369 | 268 |
| 0 | 10102 | 268 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.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(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
#s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
#s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
#s(approx (+ x (cos y)) (cos.f64 y)) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (*.f64 (+.f64 (cos.f64 y) x) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z))))))) |
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (*.f64 (+.f64 (cos.f64 y) x) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z))))) #s(literal 1 binary64)) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (*.f64 (+.f64 (cos.f64 y) x) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z))))) #s(literal 1 binary64)) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (*.f64 (+.f64 (cos.f64 y) x) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z))))))) |
(*.f64 (/.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal 1 binary64)) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 (cos.f64 y) x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (*.f64 (+.f64 (cos.f64 y) x) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z))))))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 (cos.f64 y) x))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (*.f64 (+.f64 (cos.f64 y) x) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z)))))) #s(literal 1 binary64))) |
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(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) (*.f64 y #s(literal -1/2 binary64))))) (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y)) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y)) #s(literal -1/8 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)))))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y)) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) (*.f64 y #s(literal -1/2 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)))) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y)) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)))) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) (*.f64 y #s(literal -1/2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y)) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) (*.f64 y #s(literal -1/2 binary64))))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y)) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)))) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) (*.f64 y #s(literal -1/2 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y)) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y)) #s(literal -1/8 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) (*.f64 y #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) #s(literal -1/4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) (*.f64 y #s(literal -1/2 binary64))))) (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y)) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y)) #s(literal -1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) (*.f64 y #s(literal -1/2 binary64))))) (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y)) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y)) #s(literal -1/8 binary64)))) |
(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)) |
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 y (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y))) (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)))) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64)))) |
(+.f64 (*.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 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y)) |
Compiled 25 765 to 1 759 computations (93.2% saved)
34 alts after pruning (28 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 007 | 13 | 1 020 |
| Fresh | 5 | 15 | 20 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 014 | 34 | 1 048 |
| Status | Accuracy | Program |
|---|---|---|
| 57.5% | (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 42.9% | (/.f64 (-.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) | |
| 58.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (fma.f64 (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) | |
| 26.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (+.f64 (/.f64 (cos.f64 y) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (/.f64 x (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)))) z))) | |
| 44.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) | |
| ✓ | 88.3% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 60.2% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) | |
| 60.3% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) | |
| ✓ | 57.3% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 64.0% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) x) x x)) | |
| 64.1% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (*.f64 (neg.f64 z) (sin.f64 y))) x) x x)) | |
| 73.0% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (cos.f64 y)) x) x x)) | |
| ▶ | 93.6% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) x x)) |
| 62.6% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) x x)) | |
| 63.8% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (neg.f64 (fma.f64 (/.f64 y x) z (/.f64 #s(literal -1 binary64) x)))) x x)) | |
| 65.9% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) | |
| 87.4% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) | |
| 28.7% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (neg.f64 (sin.f64 y)) z)) | |
| 29.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) | |
| 29.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 73.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
| ▶ | 47.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
| ✓ | 49.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
| 48.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))) x)) | |
| ▶ | 47.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
| ▶ | 49.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
| 48.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y) #s(literal 1 binary64))) x)) | |
| 31.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) #s(approx (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) y) y))) x)) | |
| ✓ | 61.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| 40.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) | |
| 2.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) | |
| ▶ | 12.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
| 30.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) | |
| ✓ | 20.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
Compiled 1 060 to 587 computations (44.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| cost-diff | 128 | (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))) | |
| cost-diff | 640 | (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) x) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) y) | |
| cost-diff | 0 | #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) | |
| cost-diff | 0 | (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) | |
| cost-diff | 0 | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) x x)) | |
| cost-diff | 320 | (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 896 | (fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) x x) |
| 5 082× | lower-fma.f32 |
| 5 066× | lower-fma.f64 |
| 3 536× | lower-*.f32 |
| 3 516× | lower-*.f64 |
| 1 450× | lower-neg.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 753 |
| 0 | 109 | 748 |
| 1 | 216 | 674 |
| 2 | 425 | 625 |
| 3 | 892 | 625 |
| 4 | 2052 | 625 |
| 5 | 4884 | 625 |
| 0 | 8109 | 591 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) x x)) |
(fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) x x) |
(*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) |
(sin.f64 y) |
y |
(neg.f64 z) |
z |
(cos.f64 y) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
(+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x) |
#s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) |
#s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 y y)) |
#s(literal 1/24 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
(+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) x) |
#s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) |
(*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y)) |
(*.f64 #s(literal -1/720 binary64) y) |
#s(literal -1/720 binary64) |
y |
(*.f64 (*.f64 y y) y) |
(*.f64 y y) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
#s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) (*.f64 y y) #s(literal -1/2 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) |
(fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) |
(*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) |
#s(literal -1/373248000 binary64) |
(*.f64 (*.f64 y y) y) |
(*.f64 y y) |
y |
#s(literal 1/13824 binary64) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64)))) |
(*.f64 (*.f64 y y) (*.f64 y y)) |
#s(literal 1/518400 binary64) |
(-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))) |
#s(literal 1/576 binary64) |
(*.f64 (*.f64 y y) #s(literal -1/17280 binary64)) |
#s(literal -1/17280 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
x |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))) |
(fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) x x) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(sin.f64 y) |
y |
(neg.f64 z) |
z |
(cos.f64 y) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) #s(literal 1 binary64))) x)) |
(+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x) |
(+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) #s(literal 1 binary64))) x) |
#s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
#s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) |
#s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal -1/720 binary64))) (*.f64 y y) #s(literal 1 binary64))) x)) |
(+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) x) |
(+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal -1/720 binary64))) (*.f64 y y) #s(literal 1 binary64))) x) |
#s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal -1/720 binary64))) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal -1/720 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) |
#s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal -1/720 binary64))) |
(*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y)) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal -1/720 binary64)) |
(*.f64 #s(literal -1/720 binary64) y) |
#s(literal -1/720 binary64) |
y |
(*.f64 (*.f64 y y) y) |
(*.f64 y y) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/518400 binary64) y) y #s(literal 1/17280 binary64)) (*.f64 y y) #s(literal 1/576 binary64))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/518400 binary64) y) y #s(literal 1/17280 binary64)) (*.f64 y y) #s(literal 1/576 binary64))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
#s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/518400 binary64) y) y #s(literal 1/17280 binary64)) (*.f64 y y) #s(literal 1/576 binary64))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/518400 binary64) y) y #s(literal 1/17280 binary64)) (*.f64 y y) #s(literal 1/576 binary64))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) (*.f64 y y) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/518400 binary64) y) y #s(literal 1/17280 binary64)) (*.f64 y y) #s(literal 1/576 binary64))) (*.f64 y y) #s(literal -1/2 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/518400 binary64) y) y #s(literal 1/17280 binary64)) (*.f64 y y) #s(literal 1/576 binary64))) |
(fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) |
(*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) |
#s(literal -1/373248000 binary64) |
(*.f64 (*.f64 y y) y) |
(*.f64 y y) |
y |
#s(literal 1/13824 binary64) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/518400 binary64) y) y #s(literal 1/17280 binary64)) (*.f64 y y) #s(literal 1/576 binary64)) |
(*.f64 (*.f64 y y) (*.f64 y y)) |
(*.f64 (*.f64 (*.f64 y y) y) y) |
#s(literal 1/518400 binary64) |
(-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))) |
(fma.f64 #s(literal 1/17280 binary64) (*.f64 y y) #s(literal 1/576 binary64)) |
#s(literal 1/576 binary64) |
(*.f64 (*.f64 y y) #s(literal -1/17280 binary64)) |
(*.f64 #s(literal -1/17280 binary64) (*.f64 y y)) |
#s(literal -1/17280 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.5173610248583809 | (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) | |
| accuracy | 17.22638130383956 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| accuracy | 24.605973969148504 | (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) | |
| accuracy | 28.264782916429624 | #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0.21875 | (*.f64 #s(literal -1/720 binary64) y) | |
| accuracy | 17.22638130383956 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| accuracy | 28.264782916429624 | #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 34.21559697778351 | #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) | |
| accuracy | 0.19140625 | (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) | |
| accuracy | 17.22638130383956 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| accuracy | 28.378688042506393 | #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 34.53274475006 | #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) | |
| accuracy | 0 | (*.f64 (neg.f64 z) y) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 25.14769645294143 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) | |
| accuracy | 47.967711609858405 | #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.06640625 | (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) | |
| accuracy | 0.1640625 | (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 4.063220063083063 | (fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) x x) |
| 423.0ms | 256× | 0 | valid |
Compiled 418 to 64 computations (84.7% saved)
const: 81.0ms (24.4% of total)ival-mult: 79.0ms (23.8% of total)ival-div: 69.0ms (20.8% of total)ival-cos: 64.0ms (19.3% of total)ival-add: 27.0ms (8.1% of total)ival-sin: 7.0ms (2.1% of total)ival-sub: 3.0ms (0.9% of total)ival-neg: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) x x) (patch (fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) x x) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) x x)) (patch #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)) (patch #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x) (patch (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) x) (patch (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64)))) (patch (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))) (patch (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) (patch (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (patch #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (patch #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/720 binary64) y) (patch (*.f64 #s(literal -1/720 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) (patch (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (patch (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) x x) (patch (fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) x x) (patch (fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) x x) (patch (fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) x x) (patch (fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) x x) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos y) x) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) x x)) (patch #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) x x)) (patch #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) x x)) (patch #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) x x)) (patch #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) x x)) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos y) (* -1 (* z (sin y)))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos y) (* -1 (* z (sin y)))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos y) (* -1 (* z (sin y)))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* -1/2 (pow y 2)))) (taylor 0 z) (#s(alt #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)) (patch #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)) (patch #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)) (patch #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)) (patch #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | 0 | ((+ (* (* (+ (* (sin y) (neg z)) (cos y)) (/ 1 x)) x) x) (* (+ (* (sin y) (neg z)) (cos y)) (/ 1 x)) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (+ (* (sin y) (neg z)) (cos y)) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (neg z) y) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (+ (* (* (* y y) (* y y)) 1/518400) (- 1/576 (* (* y y) -1/17280))) (- 1/576 (* (* y y) -1/17280)) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (sin y) (+ (* 1/24 (* y y)) -1/2) (* 1/24 (* y y)) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* -1/720 y) (cos y) (/ (+ (* (* -1/373248000 (* (* y y) y)) (* (* y y) y)) 1/13824) (+ (* (* (* y y) (* y y)) 1/518400) (- 1/576 (* (* y y) -1/17280)))) (* -1/373248000 (* (* y y) y))) |
| 4.0ms | y | @ | inf | ((+ (* (* (+ (* (sin y) (neg z)) (cos y)) (/ 1 x)) x) x) (* (+ (* (sin y) (neg z)) (cos y)) (/ 1 x)) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (+ (* (sin y) (neg z)) (cos y)) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (neg z) y) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (+ (* (* (* y y) (* y y)) 1/518400) (- 1/576 (* (* y y) -1/17280))) (- 1/576 (* (* y y) -1/17280)) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (sin y) (+ (* 1/24 (* y y)) -1/2) (* 1/24 (* y y)) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* -1/720 y) (cos y) (/ (+ (* (* -1/373248000 (* (* y y) y)) (* (* y y) y)) 1/13824) (+ (* (* (* y y) (* y y)) 1/518400) (- 1/576 (* (* y y) -1/17280)))) (* -1/373248000 (* (* y y) y))) |
| 3.0ms | y | @ | -inf | ((+ (* (* (+ (* (sin y) (neg z)) (cos y)) (/ 1 x)) x) x) (* (+ (* (sin y) (neg z)) (cos y)) (/ 1 x)) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (+ (* (sin y) (neg z)) (cos y)) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (neg z) y) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (+ (* (* (* y y) (* y y)) 1/518400) (- 1/576 (* (* y y) -1/17280))) (- 1/576 (* (* y y) -1/17280)) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (sin y) (+ (* 1/24 (* y y)) -1/2) (* 1/24 (* y y)) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* -1/720 y) (cos y) (/ (+ (* (* -1/373248000 (* (* y y) y)) (* (* y y) y)) 1/13824) (+ (* (* (* y y) (* y y)) 1/518400) (- 1/576 (* (* y y) -1/17280)))) (* -1/373248000 (* (* y y) y))) |
| 2.0ms | x | @ | inf | ((+ (* (* (+ (* (sin y) (neg z)) (cos y)) (/ 1 x)) x) x) (* (+ (* (sin y) (neg z)) (cos y)) (/ 1 x)) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (+ (* (sin y) (neg z)) (cos y)) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (neg z) y) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (+ (* (* (* y y) (* y y)) 1/518400) (- 1/576 (* (* y y) -1/17280))) (- 1/576 (* (* y y) -1/17280)) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (sin y) (+ (* 1/24 (* y y)) -1/2) (* 1/24 (* y y)) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* -1/720 y) (cos y) (/ (+ (* (* -1/373248000 (* (* y y) y)) (* (* y y) y)) 1/13824) (+ (* (* (* y y) (* y y)) 1/518400) (- 1/576 (* (* y y) -1/17280)))) (* -1/373248000 (* (* y y) y))) |
| 2.0ms | z | @ | 0 | ((+ (* (* (+ (* (sin y) (neg z)) (cos y)) (/ 1 x)) x) x) (* (+ (* (sin y) (neg z)) (cos y)) (/ 1 x)) (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (+ (* (sin y) (neg z)) (cos y)) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (neg z) y) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (+ (* (* (* y y) (* y y)) 1/518400) (- 1/576 (* (* y y) -1/17280))) (- 1/576 (* (* y y) -1/17280)) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (sin y) (+ (* 1/24 (* y y)) -1/2) (* 1/24 (* y y)) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* -1/720 y) (cos y) (/ (+ (* (* -1/373248000 (* (* y y) y)) (* (* y y) y)) 1/13824) (+ (* (* (* y y) (* y y)) 1/518400) (- 1/576 (* (* y y) -1/17280)))) (* -1/373248000 (* (* y y) y))) |
| 1× | egg-herbie |
| 11 410× | lower-fma.f64 |
| 11 410× | lower-fma.f32 |
| 3 784× | lower-*.f64 |
| 3 784× | lower-*.f32 |
| 3 650× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 258 | 4561 |
| 1 | 729 | 4403 |
| 2 | 1797 | 4387 |
| 3 | 5032 | 4314 |
| 0 | 8185 | 4133 |
| 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))))) |
(/ (cos y) x) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(cos y) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* -1 (* 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)) x)) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z)))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z)))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z)))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (/ (cos y) z))) |
(* z (+ (* -1 (sin y)) (/ (cos y) z))) |
(* z (+ (* -1 (sin y)) (/ (cos y) z))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (/ (* z (sin y)) x)) |
(* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x)))) |
(* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x)))) |
(* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x)))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (cos y) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (cos y) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (cos y) z))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* y z)) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(/ 1 x) |
(+ (* -1 (/ (* y z) x)) (/ 1 x)) |
(+ (* y (+ (* -1 (/ z x)) (* -1/2 (/ y x)))) (/ 1 x)) |
(+ (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) (* 1/2 (/ 1 x)))))) (/ 1 x)) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
1 |
(+ 1 (* -1 (* y z))) |
(+ 1 (* y (+ (* -1 z) (* -1/2 y)))) |
(+ 1 (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
1/576 |
(+ 1/576 (* 1/17280 (pow y 2))) |
(+ 1/576 (* (pow y 2) (+ 1/17280 (* 1/518400 (pow y 2))))) |
(+ 1/576 (* (pow y 2) (+ 1/17280 (* 1/518400 (pow y 2))))) |
1/576 |
(+ 1/576 (* 1/17280 (pow y 2))) |
(+ 1/576 (* 1/17280 (pow y 2))) |
(+ 1/576 (* 1/17280 (pow y 2))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
-1/2 |
(- (* 1/24 (pow y 2)) 1/2) |
(- (* 1/24 (pow y 2)) 1/2) |
(- (* 1/24 (pow y 2)) 1/2) |
(* 1/24 (pow y 2)) |
(* 1/24 (pow y 2)) |
(* 1/24 (pow y 2)) |
(* 1/24 (pow y 2)) |
-1/2 |
(- (* 1/24 (pow y 2)) 1/2) |
(- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2) |
(- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2) |
(* -1/720 y) |
(* -1/720 y) |
(* -1/720 y) |
(* -1/720 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))) |
1/24 |
(+ 1/24 (* -1/720 (pow y 2))) |
(+ 1/24 (* -1/720 (pow y 2))) |
(+ 1/24 (* -1/720 (pow y 2))) |
(* -1/373248000 (pow y 3)) |
(* -1/373248000 (pow y 3)) |
(* -1/373248000 (pow y 3)) |
(* -1/373248000 (pow y 3)) |
(+ 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 (+ (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)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* 1/24 (pow y 4)) |
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* -1/720 (pow y 6)) |
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* 1/518400 (pow y 4)) |
(* (pow y 4) (+ 1/518400 (* 1/17280 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/518400 (+ (/ 1/576 (pow y 4)) (* 1/17280 (/ 1 (pow y 2)))))) |
(* (pow y 4) (+ 1/518400 (+ (/ 1/576 (pow y 4)) (* 1/17280 (/ 1 (pow y 2)))))) |
(* 1/17280 (pow y 2)) |
(* (pow y 2) (+ 1/17280 (* 1/576 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/17280 (* 1/576 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/17280 (* 1/576 (/ 1 (pow y 2))))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* 1/24 (pow y 2)) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* 1/24 (pow y 2)) |
(* 1/24 (pow y 2)) |
(* 1/24 (pow y 2)) |
(* 1/24 (pow y 2)) |
(* -1/720 (pow y 4)) |
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* -1/720 y) |
(* -1/720 y) |
(* -1/720 y) |
(* -1/720 y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* -1/720 (pow y 2)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* -1/373248000 (pow y 3)) |
(* -1/373248000 (pow y 3)) |
(* -1/373248000 (pow y 3)) |
(* -1/373248000 (pow y 3)) |
(+ 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 (+ (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)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* 1/24 (pow y 4)) |
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* -1/720 (pow y 6)) |
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* 1/518400 (pow y 4)) |
(* (pow y 4) (+ 1/518400 (* 1/17280 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/518400 (+ (/ 1/576 (pow y 4)) (* 1/17280 (/ 1 (pow y 2)))))) |
(* (pow y 4) (+ 1/518400 (+ (/ 1/576 (pow y 4)) (* 1/17280 (/ 1 (pow y 2)))))) |
(* 1/17280 (pow y 2)) |
(* (pow y 2) (+ 1/17280 (* 1/576 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/17280 (* 1/576 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/17280 (* 1/576 (/ 1 (pow y 2))))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* 1/24 (pow y 2)) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* 1/24 (pow y 2)) |
(* 1/24 (pow y 2)) |
(* 1/24 (pow y 2)) |
(* 1/24 (pow y 2)) |
(* -1/720 (pow y 4)) |
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* -1/720 y) |
(* -1/720 y) |
(* -1/720 y) |
(* -1/720 y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* -1/720 (pow y 2)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* -1/373248000 (pow y 3)) |
(* -1/373248000 (pow y 3)) |
(* -1/373248000 (pow y 3)) |
(* -1/373248000 (pow y 3)) |
(+ (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) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ 1 (* y (- (* -1/2 y) z))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(/ (+ (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 |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(/ (+ (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 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
| Outputs |
|---|
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 (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) x) |
(/.f64 (cos.f64 y) x) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) x) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) x) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (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)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (* -1 (* z (sin y)))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) |
(+ (cos y) (* -1 (* z (sin y)))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) |
(+ (cos y) (* -1 (* z (sin y)))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) |
(+ 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)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 (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)) |
(+ 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)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* -1 (/ (* z (sin y)) x)) |
(*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z)))) |
(/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) x) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z)))) |
(/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) x) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z)))) |
(/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) x) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(* z (+ (* -1 (sin y)) (/ (cos y) z))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) |
(* z (+ (* -1 (sin y)) (/ (cos y) z))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) |
(* z (+ (* -1 (sin y)) (/ (cos y) z))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(fma.f64 (fma.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 x z)) z #s(literal 1 binary64)) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(fma.f64 (fma.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 x z)) z #s(literal 1 binary64)) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(fma.f64 (fma.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 x z)) z #s(literal 1 binary64)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 x z) (sin.f64 y)) z (cos.f64 y)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(* -1 (/ (* z (sin y)) x)) |
(*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) |
(* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x)))) |
(/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) x) |
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x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
| 6 116× | lower-fma.f32 |
| 6 100× | lower-fma.f64 |
| 6 002× | lower-*.f32 |
| 5 982× | lower-*.f64 |
| 3 008× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 592 |
| 0 | 109 | 543 |
| 1 | 501 | 448 |
| 2 | 3924 | 448 |
| 0 | 9586 | 430 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) x x) |
(*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) x x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
(+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x) |
#s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
(+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) x) |
#s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64)))) |
(-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
(sin.f64 y) |
#s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 y y)) |
#s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) |
(*.f64 #s(literal -1/720 binary64) y) |
#s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) |
(*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 (cos.f64 y) x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (*.f64 (+.f64 (cos.f64 y) x) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z))))))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 (cos.f64 y) x))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (*.f64 (+.f64 (cos.f64 y) x) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z)))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x) #s(literal 1 binary64)) x) |
(*.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 (cos.f64 y) x)))) |
(*.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 #s(literal 1 binary64) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
(*.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 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (*.f64 (+.f64 (cos.f64 y) x) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z))))))) |
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 2 binary64))))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)))) |
(*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) #s(literal 1 binary64)) |
(*.f64 x (pow.f64 (+.f64 (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 x (+.f64 (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x))) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x) (-.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 (cos.f64 y) x)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 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 y y)))) (*.f64 z z) (*.f64 (+.f64 (cos.f64 y) x) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z))))) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x))) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (neg.f64 x) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) (*.f64 #s(literal -1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))))) (*.f64 #s(literal -1 binary64) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) |
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(/.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal -1/576 binary64)) (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal -1/24 binary64))) |
(/.f64 (fma.f64 #s(literal 1/139314069504000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) #s(literal -1/191102976 binary64)) (*.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 #s(literal 1/17280 binary64) (*.f64 y y) #s(literal 1/576 binary64))) (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal -1/13824 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) #s(literal -1/51998697814228992000000000 binary64) #s(literal 1/2641807540224 binary64)) (*.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 #s(literal 1/17280 binary64) (*.f64 y y) #s(literal 1/576 binary64))) (fma.f64 #s(literal 1/139314069504000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) (-.f64 #s(literal 1/191102976 binary64) (*.f64 (*.f64 #s(literal -1/5159780352000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64))) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 #s(literal 1/17280 binary64) (*.f64 y y) #s(literal 1/576 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)) (*.f64 #s(literal -1/17280 binary64) (*.f64 y y))))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 #s(literal 1/17280 binary64) (*.f64 y y) #s(literal 1/576 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal -1/576 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64))) (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 #s(literal 1/17280 binary64) (*.f64 y y) #s(literal 1/576 binary64))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 #s(literal 1/17280 binary64) (*.f64 y y) #s(literal 1/576 binary64)))))) |
(fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
(fma.f64 y (*.f64 #s(literal -1/720 binary64) y) #s(literal 1/24 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)) (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal -1/24 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 y y)) #s(literal 1/24 binary64)) |
(+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) |
(*.f64 (*.f64 #s(literal -1/373248000 binary64) y) (*.f64 y y)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 #s(literal -1/720 binary64) y)) (*.f64 #s(literal -1/720 binary64) y)) |
(*.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 y y)) y) |
(*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) |
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/373248000 binary64)) |
(*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 #s(literal -1/720 binary64) y))) |
(*.f64 (*.f64 y y) (*.f64 y #s(literal -1/373248000 binary64))) |
(*.f64 y (*.f64 #s(literal -1/373248000 binary64) (*.f64 y y))) |
(pow.f64 (*.f64 #s(literal -1/720 binary64) y) #s(literal 3 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/720 binary64) y)) #s(literal 3 binary64))) |
Compiled 29 698 to 1 963 computations (93.4% saved)
37 alts after pruning (29 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 083 | 7 | 1 090 |
| Fresh | 1 | 22 | 23 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 087 | 37 | 1 124 |
| Status | Accuracy | Program |
|---|---|---|
| 57.5% | (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 42.9% | (/.f64 (-.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) | |
| 58.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (fma.f64 (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) | |
| 26.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (+.f64 (/.f64 (cos.f64 y) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (/.f64 x (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)))) z))) | |
| 44.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) | |
| ✓ | 88.3% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 60.2% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) | |
| 60.3% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) | |
| ✓ | 57.3% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 64.0% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) x) x x)) | |
| 64.1% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (*.f64 (neg.f64 z) (sin.f64 y))) x) x x)) | |
| 73.0% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (cos.f64 y)) x) x x)) | |
| 64.0% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (*.f64 #s(approx (+ (* (sin y) (neg z)) (cos y)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) x x)) | |
| 64.1% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (*.f64 #s(approx (+ (* (sin y) (neg z)) (cos y)) (*.f64 (neg.f64 (sin.f64 y)) z)) (/.f64 #s(literal 1 binary64) x)) x x)) | |
| 62.6% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) x x)) | |
| 63.8% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (neg.f64 (fma.f64 (/.f64 y x) z (/.f64 #s(literal -1 binary64) x)))) x x)) | |
| 65.9% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) | |
| 87.4% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) | |
| 28.7% | #s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (neg.f64 (sin.f64 y)) z)) | |
| 29.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) | |
| 29.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 73.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
| 47.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) #s(approx (+ (* (* (* y y) (* y y)) 1/518400) (- 1/576 (* (* y y) -1/17280))) (fma.f64 #s(literal 1/17280 binary64) (*.f64 y y) #s(literal 1/576 binary64)))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| 46.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) #s(approx (+ (* (* (* y y) (* y y)) 1/518400) (- 1/576 (* (* y y) -1/17280))) #s(literal 1/576 binary64))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| ✓ | 49.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
| 48.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))) x)) | |
| ✓ | 47.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
| 48.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y) #s(literal 1 binary64))) x)) | |
| 31.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) #s(approx (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/24 binary64)))) x)) | |
| ✓ | 61.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| 40.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) | |
| 51.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (fma.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 x z)) z #s(literal 1 binary64)))) | |
| 6.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y))) | |
| 2.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) | |
| ✓ | 12.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
| 30.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) | |
| ✓ | 20.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
Compiled 1 432 to 544 computations (62% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) #s(approx (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) y) y))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) #s(approx (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/24 binary64)))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) x) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.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 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (*.f64 #s(approx (+ (* (sin y) (neg z)) (cos y)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y) x) x (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (neg.f64 (fma.f64 (/.f64 y x) z (/.f64 #s(literal -1 binary64) x)))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (fma.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 x z)) z #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (fma.f64 (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) #s(approx (+ (* (* (* y y) (* y y)) 1/518400) (- 1/576 (* (* y y) -1/17280))) #s(literal 1/576 binary64))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) #s(approx (+ (* (* (* y y) (* y y)) 1/518400) (- 1/576 (* (* y y) -1/17280))) (fma.f64 #s(literal 1/17280 binary64) (*.f64 y y) #s(literal 1/576 binary64)))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (neg.f64 (sin.f64 y)) z)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (/.f64 (cos.f64 y) x) x x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (cos.f64 y)) x) x x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) x x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (*.f64 (neg.f64 z) (sin.f64 y))) x) x x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (*.f64 #s(approx (+ (* (sin y) (neg z)) (cos y)) (*.f64 (neg.f64 (sin.f64 y)) z)) (/.f64 #s(literal 1 binary64) x)) x x)) |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) |
(*.f64 (-.f64 (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) |
(-.f64 (/.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))) |
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(fma.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (cos.f64 y))) x) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (+.f64 (/.f64 (cos.f64 y) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (/.f64 x (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)))) z))) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
4 calls:
| 18.0ms | x |
| 17.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 17.0ms | z |
| 16.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) #s(approx (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) y) y))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) #s(approx (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/24 binary64)))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) x) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.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 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (*.f64 #s(approx (+ (* (sin y) (neg z)) (cos y)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y) x) x (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (neg.f64 (fma.f64 (/.f64 y x) z (/.f64 #s(literal -1 binary64) x)))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (fma.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 x z)) z #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (fma.f64 (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) #s(approx (+ (* (* (* y y) (* y y)) 1/518400) (- 1/576 (* (* y y) -1/17280))) #s(literal 1/576 binary64))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) #s(approx (+ (* (* (* y y) (* y y)) 1/518400) (- 1/576 (* (* y y) -1/17280))) (fma.f64 #s(literal 1/17280 binary64) (*.f64 y y) #s(literal 1/576 binary64)))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (neg.f64 (sin.f64 y)) z)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (fma.f64 (/.f64 (cos.f64 y) x) x x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (cos.f64 y)) x) x x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) x x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (*.f64 (neg.f64 z) (sin.f64 y))) x) x x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (*.f64 #s(approx (+ (* (sin y) (neg z)) (cos y)) (*.f64 (neg.f64 (sin.f64 y)) z)) (/.f64 #s(literal 1 binary64) x)) x x)) |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
4 calls:
| 14.0ms | y |
| 14.0ms | x |
| 14.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 12.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 3 | x |
| 88.3% | 1 | y |
| 99.6% | 3 | z |
| 99.4% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) #s(approx (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) y) y))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) #s(approx (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/24 binary64)))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) x) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.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 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (*.f64 #s(approx (+ (* (sin y) (neg z)) (cos y)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y) x) x (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (neg.f64 (fma.f64 (/.f64 y x) z (/.f64 #s(literal -1 binary64) x)))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (fma.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 x z)) z #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (fma.f64 (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) #s(approx (+ (* (* (* y y) (* y y)) 1/518400) (- 1/576 (* (* y y) -1/17280))) #s(literal 1/576 binary64))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) #s(approx (+ (* (* (* y y) (* y y)) 1/518400) (- 1/576 (* (* y y) -1/17280))) (fma.f64 #s(literal 1/17280 binary64) (*.f64 y y) #s(literal 1/576 binary64)))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (*.f64 (neg.f64 (sin.f64 y)) z)) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
4 calls:
| 12.0ms | z |
| 12.0ms | y |
| 11.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.0% | 3 | y |
| 77.5% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 73.1% | 1 | x |
| 87.3% | 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))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) #s(approx (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) y) y))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) #s(approx (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/24 binary64)))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) x) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.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 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (*.f64 #s(approx (+ (* (sin y) (neg z)) (cos y)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y) x) x (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (neg.f64 (fma.f64 (/.f64 y x) z (/.f64 #s(literal -1 binary64) x)))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (fma.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 x z)) z #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (fma.f64 (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) #s(approx (+ (* (* (* y y) (* y y)) 1/518400) (- 1/576 (* (* y y) -1/17280))) #s(literal 1/576 binary64))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) #s(approx (+ (* (* (* y y) (* y y)) 1/518400) (- 1/576 (* (* y y) -1/17280))) (fma.f64 #s(literal 1/17280 binary64) (*.f64 y y) #s(literal 1/576 binary64)))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
2 calls:
| 11.0ms | z |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.0% | 3 | y |
| 81.3% | 3 | z |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) #s(approx (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) y) y))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) #s(approx (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/24 binary64)))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) x) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.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 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (*.f64 #s(approx (+ (* (sin y) (neg z)) (cos y)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y) x) x (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (neg.f64 (fma.f64 (/.f64 y x) z (/.f64 #s(literal -1 binary64) x)))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (fma.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 x z)) z #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (fma.f64 (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) #s(approx (+ (* (* (* y y) (* y y)) 1/518400) (- 1/576 (* (* y y) -1/17280))) #s(literal 1/576 binary64))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) #s(approx (+ (* (* (* y y) (* y y)) 1/518400) (- 1/576 (* (* y y) -1/17280))) (fma.f64 #s(literal 1/17280 binary64) (*.f64 y y) #s(literal 1/576 binary64)))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
3 calls:
| 17.0ms | z |
| 9.0ms | y |
| 9.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.9% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 70.1% | 3 | z |
| 72.1% | 3 | y |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) #s(approx (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) y) y))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) #s(approx (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/24 binary64)))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) x) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.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 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 (*.f64 #s(approx (+ (* (sin y) (neg z)) (cos y)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y) x) x (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (*.f64 (*.f64 #s(literal -1/720 binary64) y) (*.f64 (*.f64 y y) y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (neg.f64 (fma.f64 (/.f64 y x) z (/.f64 #s(literal -1 binary64) x)))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (fma.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 x z)) z #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x))) (fma.f64 (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) #s(approx (+ (* (* (* y y) (* y y)) 1/518400) (- 1/576 (* (* y y) -1/17280))) #s(literal 1/576 binary64))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/13824 binary64)) #s(approx (+ (* (* (* y y) (* y y)) 1/518400) (- 1/576 (* (* y y) -1/17280))) (fma.f64 #s(literal 1/17280 binary64) (*.f64 y y) #s(literal 1/576 binary64)))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
3 calls:
| 13.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 9.0ms | x |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.1% | 3 | y |
| 68.8% | 2 | x |
| 65.9% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (+ (cos y) x)))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
| 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 |
|---|---|---|
| 71.9% | 3 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
4 calls:
| 2.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.9% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 64.8% | 2 | z |
| 61.9% | 1 | x |
| 61.9% | 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)) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
2 calls:
| 2.0ms | z |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.9% | 1 | x |
| 61.9% | 1 | z |
Compiled 8 to 6 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 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:
| 5.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 20.1% | 1 | y |
| 20.1% | 1 | z |
| 20.1% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 20.1% | 1 | x |
Compiled 24 to 17 computations (29.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 2.359064114172241e-28 | 2.142018497027721e-15 |
| 10.0ms | -3.097450674560692e+45 | -1.0161847529124102e+45 |
| 26.0ms | 240× | 0 | valid |
Compiled 345 to 239 computations (30.7% saved)
ival-add: 8.0ms (39.4% of total)ival-cos: 5.0ms (24.7% of total)ival-sin: 5.0ms (24.7% of total)ival-mult: 2.0ms (9.9% of total)ival-sub: 1.0ms (4.9% 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 |
|---|---|---|
| 21.0ms | 2.894794162054279e+162 | 1.8725145041506676e+168 |
| 16.0ms | -5.783206357898062e+139 | -4.3326432508031107e+133 |
| 27.0ms | 288× | 0 | valid |
Compiled 357 to 248 computations (30.5% saved)
ival-sin: 9.0ms (45.2% of total)ival-cos: 6.0ms (30.2% of total)ival-mult: 2.0ms (10.1% of total)ival-sub: 1.0ms (5% of total)ival-add: 1.0ms (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 |
|---|---|---|
| 14.0ms | 2.018419529966011e-18 | 3.557179015305939e-13 |
| 23.0ms | -6.340480411880528e+19 | -16285217637975462.0 |
| 27.0ms | 272× | 0 | valid |
Compiled 355 to 235 computations (33.8% saved)
ival-sin: 7.0ms (34.1% of total)ival-cos: 6.0ms (29.2% of total)ival-mult: 5.0ms (24.3% of total)ival-sub: 1.0ms (4.9% of total)ival-add: 1.0ms (4.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.968196168558884 | 0.9999994877416919 |
| 0.0ms | -93.9861823340048 | -1.3609351953548185 |
Compiled 15 to 14 computations (6.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 8908139883087448000.0 | 10909593000565883000.0 |
| 23.0ms | -4.716653947475803e+25 | -9.378352873348483e+19 |
| 21.0ms | 192× | 0 | valid |
Compiled 291 to 206 computations (29.2% saved)
ival-cos: 6.0ms (37.6% of total)ival-sin: 6.0ms (37.6% of total)ival-sub: 1.0ms (6.3% of total)ival-add: 1.0ms (6.3% of total)ival-mult: 1.0ms (6.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 1.1721267605486638e+115 | 1.617329926135033e+120 |
| 27.0ms | -3.159427895251985e+80 | -3.707663806437867e+67 |
| 35.0ms | 304× | 0 | valid |
Compiled 376 to 261 computations (30.6% saved)
ival-cos: 10.0ms (39.7% of total)ival-sin: 10.0ms (39.7% of total)ival-add: 2.0ms (7.9% of total)ival-mult: 2.0ms (7.9% of total)ival-sub: 1.0ms (4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 1.3876595295149015e+175 | 4.645573938109353e+180 |
| 18.0ms | 144× | 0 | valid |
Compiled 177 to 122 computations (31.1% saved)
ival-cos: 10.0ms (67.6% of total)ival-sin: 3.0ms (20.3% of total)ival-sub: 1.0ms (6.8% of total)ival-add: 1.0ms (6.8% of total)ival-mult: 1.0ms (6.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 26× | +-commutative_binary64 |
| 22× | *-commutative_binary64 |
| 20× | sub-neg_binary64 |
| 12× | neg-sub0_binary64 |
| 12× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 405 |
| 1 | 107 | 405 |
| 2 | 128 | 405 |
| 3 | 141 | 405 |
| 4 | 148 | 405 |
| 5 | 150 | 405 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 z #s(literal -1049999999999999973782050984320931337053667328 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 5324132520958563/2535301200456458802993406410752 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -8000000000000000262732499913639408631896100530876893564098507410069976055190303964352010525021819301471596038274579484629187925073691934720 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 370000000000000009047902913711393337012684075593837980584740895734832683587756958925916275244330442457924130619147022171029216367189707867898106676865804454557044965376 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 -16500000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 3466232109999065/9903520314283042199192993792 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 (cos.f64 y) x)))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -50 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2206763817411543/2251799813685248 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))))) |
(if (<=.f64 y #s(literal -235000000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 9100000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 y #s(literal -38000000000000002037837297717225532438543058589860404488408022384640 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 12000000000000000186712993553602116291218416763052737200437246965170005373977068439179824678980569372114475370414080 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 4499999999999999811274070808900538200648374943936688597455353791792197660927847434161962958511080969077485318180322565070671466951711760237419218443604670129913775103382882019704832 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #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 -1049999999999999973782050984320931337053667328 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 5324132520958563/2535301200456458802993406410752 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -1049999999999999973782050984320931337053667328 binary64)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) z)) (if (<=.f64 z #s(literal 5324132520958563/2535301200456458802993406410752 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 -8000000000000000262732499913639408631896100530876893564098507410069976055190303964352010525021819301471596038274579484629187925073691934720 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 370000000000000009047902913711393337012684075593837980584740895734832683587756958925916275244330442457924130619147022171029216367189707867898106676865804454557044965376 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 -16500000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 3466232109999065/9903520314283042199192993792 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 (cos.f64 y) x)))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -50 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2206763817411543/2251799813685248 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))))) |
(if (<=.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) #s(literal -50 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) (if (<=.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) #s(literal 2206763817411543/2251799813685248 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))))) |
(if (<=.f64 y #s(literal -235000000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 9100000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 y #s(literal -38000000000000002037837297717225532438543058589860404488408022384640 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 12000000000000000186712993553602116291218416763052737200437246965170005373977068439179824678980569372114475370414080 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 4499999999999999811274070808900538200648374943936688597455353791792197660927847434161962958511080969077485318180322565070671466951711760237419218443604670129913775103382882019704832 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
| 12 396× | lower-fma.f64 |
| 12 396× | lower-fma.f32 |
| 10 150× | lower-fma.f64 |
| 10 150× | lower-fma.f32 |
| 4 998× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 118 | 674 |
| 1 | 334 | 669 |
| 2 | 869 | 661 |
| 3 | 2601 | 657 |
| 4 | 5308 | 657 |
| 5 | 7444 | 657 |
| 0 | 8081 | 629 |
| 0 | 366 | 4460 |
| 1 | 1104 | 4294 |
| 2 | 3313 | 4186 |
| 0 | 8146 | 4061 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 347 to 165 computations (52.4% saved)
Compiled 436 to 136 computations (68.8% saved)
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