
Time bar (total: 9.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 854.0ms | 8 254× | 0 | valid |
| 0.0ms | 2× | 2 | valid |
ival-sin: 255.0ms (40.9% of total)ival-cos: 231.0ms (37% of total)ival-mult: 55.0ms (8.8% of total)ival-add: 40.0ms (6.4% of total)ival-sub: 34.0ms (5.4% of total)ival-true: 6.0ms (1% of total)ival-assert: 3.0ms (0.5% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 x (cos.f64 y)) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 z (sin.f64 y)) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 83.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-cos: 48.0ms (71.5% of total)ival-sin: 11.0ms (16.4% of total)ival-mult: 4.0ms (6% of total)ival-sub: 2.0ms (3% of total)ival-add: 2.0ms (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 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 9 to 8 computations (11.1% 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 | (sin.f64 y) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.01953125 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.1328125 | (*.f64 z (sin.f64 y)) |
| 22.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-cos: 5.0ms (35.2% of total)ival-sin: 5.0ms (35.2% of total)ival-mult: 2.0ms (14.1% of total)ival-sub: 1.0ms (7% of total)ival-add: 1.0ms (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 | |
|---|---|---|---|---|
| 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 | y | @ | -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 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 z (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 z y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (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)) 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 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #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))) (pow.f64 (-.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
(*.f64 (pow.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))) #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)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.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)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))) #s(literal -1 binary64))) |
(*.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)))) (pow.f64 (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)))) #s(literal -1 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)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 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)) (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)) (pow.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))) #s(literal -1 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))) (pow.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))) #s(literal -1 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 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #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)) (+.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #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))) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (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))) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 z (+.f64 (cos.f64 y) x)) (sin.f64 y)) #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))) (pow.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))) #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)))) |
(/.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))) (pow.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))) #s(literal -1 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 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (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 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (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 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (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 (pow.f64 (cos.f64 y) #s(literal 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 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (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 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (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 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (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 (cos.f64 y) (cos.f64 y) (-.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 (+.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 x #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 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))))) |
(/.f64 (neg.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))))) (neg.f64 (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 (*.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)))) |
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(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x)) |
(fma.f64 (+.f64 (cos.f64 y) x) (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 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)))) (neg.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)))))) |
(fma.f64 (+.f64 (cos.f64 y) x) (/.f64 (+.f64 (cos.f64 y) x) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))))) |
(fma.f64 (+.f64 (cos.f64 y) x) (/.f64 (-.f64 x (cos.f64 y)) (-.f64 x (cos.f64 y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(fma.f64 (+.f64 (cos.f64 y) x) (*.f64 (-.f64 x (cos.f64 y)) (pow.f64 (-.f64 x (cos.f64 y)) #s(literal -1 binary64))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 x (/.f64 x (-.f64 x (cos.f64 y))))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 x (cos.f64 y)))) |
(-.f64 (+.f64 (+.f64 (cos.f64 y) x) #s(literal 0 binary64)) (*.f64 (sin.f64 y) z)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))) (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (sin.f64 y) z) (+.f64 (cos.f64 y) x))) |
(-.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 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)))) |
(-.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 x (/.f64 x (-.f64 x (cos.f64 y)))) (+.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) z))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x (cos.f64 y)))) (-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 x (cos.f64 y))) (*.f64 (neg.f64 z) (sin.f64 y)))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 (sin.f64 y) z) x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) x) (cos.f64 y)) |
(+.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))))) |
(+.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)))) (neg.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)))))) |
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(+.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (+.f64 (cos.f64 y) x)) |
(+.f64 (+.f64 (cos.f64 y) x) (*.f64 (neg.f64 z) (sin.f64 y))) |
(+.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) x)) |
(+.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (+.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (cos.f64 y) x) (cos.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 (cos.f64 y) x) (cos.f64 y)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (cos.f64 y) x) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (cos.f64 y) x) (cos.f64 y)) (-.f64 (*.f64 (-.f64 (cos.f64 y) x) (cos.f64 y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (+.f64 (cos.f64 y) x)) |
(*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (-.f64 (cos.f64 y) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 x (cos.f64 y)) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)) |
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 x (cos.f64 y))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (cos.f64 y)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)) (/.f64 (+.f64 (cos.f64 y) x) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)))) |
(*.f64 (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)) (*.f64 (+.f64 (cos.f64 y) x) (pow.f64 (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (cos.f64 y) x) (/.f64 (-.f64 x (cos.f64 y)) (-.f64 x (cos.f64 y)))) |
(*.f64 (+.f64 (cos.f64 y) x) (*.f64 (-.f64 x (cos.f64 y)) (pow.f64 (-.f64 x (cos.f64 y)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (-.f64 (cos.f64 y) x) (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (+.f64 (cos.f64 y) x) #s(literal 1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (-.f64 x (cos.f64 y)) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (pow.f64 (-.f64 x (cos.f64 y)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (cos.f64 y)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 x (cos.f64 y))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 x (cos.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (cos.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 x (cos.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (cos.f64 y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 x (cos.f64 y))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 x (cos.f64 y))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (cos.f64 y) x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (cos.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 x (cos.f64 y)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 x (cos.f64 y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (cos.f64 y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (*.f64 (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (pow.f64 (-.f64 x (cos.f64 y)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (*.f64 (-.f64 x (cos.f64 y)) (fma.f64 x x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (*.f64 (-.f64 x (cos.f64 y)) (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) x) (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (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) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (cos.f64 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 x (cos.f64 y))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #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) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 x (cos.f64 y)))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (*.f64 x x)))) |
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (neg.f64 (-.f64 x (cos.f64 y))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #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 (pow.f64 x #s(literal 3 binary64)) (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 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 x (cos.f64 y))))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (+.f64 (cos.f64 y) x) (neg.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 x (cos.f64 y))))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x (cos.f64 y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 x (cos.f64 y))))) |
(fma.f64 x (/.f64 x (-.f64 x (cos.f64 y))) (neg.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 x (cos.f64 y))))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 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 (pow.f64 (cos.f64 y) #s(literal 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 (pow.f64 (cos.f64 y) #s(literal 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 6 936 to 647 computations (90.7% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 277 | 14 | 291 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 278 | 14 | 292 |
| Status | Accuracy | Program |
|---|---|---|
| 75.0% | (fma.f64 (pow.f64 (-.f64 x (cos.f64 y)) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 99.9% | (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) | |
| 52.2% | (/.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 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))) | |
| ▶ | 99.7% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
| ▶ | 88.4% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| ▶ | 99.9% | (*.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)))) |
| 99.8% | (*.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)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))) | |
| ▶ | 53.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
| 54.0% | #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))) | |
| 58.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) | |
| 61.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) | |
| 70.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) | |
| ▶ | 59.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| 31.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
Compiled 396 to 280 computations (29.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) | |
| cost-diff | 7168 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 z (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (cos y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) | |
| cost-diff | 0 | (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) | |
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | #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))) | |
| 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 | (+.f64 (cos.f64 y) x) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) | |
| cost-diff | 27776 | (*.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)))) |
| 11 934× | lower-fma.f32 |
| 11 926× | lower-fma.f64 |
| 4 072× | lower-*.f32 |
| 4 064× | lower-*.f64 |
| 2 932× | lower--.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 248 |
| 0 | 58 | 298 |
| 1 | 101 | 298 |
| 2 | 206 | 298 |
| 3 | 649 | 226 |
| 4 | 2256 | 226 |
| 5 | 4492 | 226 |
| 0 | 8353 | 226 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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)))) |
(fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) |
(sin.f64 y) |
y |
z |
(+.f64 (cos.f64 y) x) |
(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))) |
(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) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)) |
(-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 z y) |
z |
y |
#s(literal -1/2 binary64) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
(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(literal -1 binary64) |
| Outputs |
|---|
(*.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)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) |
(fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) |
(sin.f64 y) |
y |
z |
(+.f64 (cos.f64 y) x) |
(+.f64 x (cos.f64 y)) |
(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 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(neg.f64 z) |
#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 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
(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)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) |
(-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y (neg.f64 z)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) |
(*.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 z y) |
z |
y |
#s(literal -1/2 binary64) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) #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 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(literal -1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.0546875 | (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) | |
| accuracy | 0.11328125 | (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) | |
| accuracy | 0.2265625 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.01953125 | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.1328125 | (*.f64 z (sin.f64 y)) | |
| accuracy | 29.3727945633723 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (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)) | |
| accuracy | 0.0625 | (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) | |
| accuracy | 0.15234375 | (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) | |
| accuracy | 29.750864083155655 | #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))) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 26.133652224973694 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.03125 | (/.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))) | |
| accuracy | 0.03125 | (*.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)))) | |
| accuracy | 0.0546875 | (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) | |
| accuracy | 0.056972509768442016 | (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) |
| 117.0ms | 256× | 0 | valid |
Compiled 239 to 32 computations (86.6% saved)
ival-mult: 41.0ms (55.8% of total)ival-add: 7.0ms (9.5% of total)ival-sin: 7.0ms (9.5% of total)ival-cos: 5.0ms (6.8% of total)ival-div: 3.0ms (4.1% of total)const: 3.0ms (4.1% of total)ival-pow: 3.0ms (4.1% of total)ival-sub: 2.0ms (2.7% of total)ival-neg: 1.0ms (1.4% 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 (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)))) (patch (*.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)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (+.f64 (cos.f64 y) x) (patch (+.f64 (cos.f64 y) x) #<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 #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))) (patch #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))) #<representation binary64>) () ()) |
#s(alt (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)) (patch (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)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) (patch (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) (patch (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) 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 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<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 (/.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))) (patch (/.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))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* z (sin y)))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* z (sin y)))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* z (sin y)))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 z) (#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 (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#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 (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#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 (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#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 (+ x (cos y)) (taylor 0 z) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* -1/2 (pow y 2)))) (taylor 0 z) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) (taylor 0 z) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) (taylor 0 z) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) (taylor 0 z) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 y) (taylor 0 z) (#s(alt (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) (patch (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) (patch (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) (patch (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) (patch (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 y) (taylor 0 z) (#s(alt (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) (patch (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 y) (* 1/6 (* (pow y 2) z))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) (patch (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 y) (* 1/6 (* (pow y 2) z))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) (patch (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 y) (* 1/6 (* (pow y 2) z))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) (patch (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#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 (+ x (cos y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (+ x (cos y))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 z) (#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 (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#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 (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#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 (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#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 (* -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 1 (taylor 0 z) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (taylor 0 z) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (- (+ (* -1 (/ (sin y) (+ x (cos y)))) (* -1 (/ (* z (* (sin y) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (+ x (cos y))))) (/ (sin y) (+ x (cos y)))))) (taylor 0 z) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (- (+ (* -1 (/ (sin y) (+ x (cos y)))) (* z (- (/ (* z (* (pow (sin y) 2) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (pow (+ x (cos y)) 2)) (/ (* (sin y) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y))))) (+ x (cos y)))))) (/ (sin y) (+ x (cos y)))))) (taylor 0 z) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | y | @ | 0 | ((* (+ (* (sin y) z) (+ (cos y) x)) (/ (+ (* (neg z) (sin y)) (+ (cos y) x)) (+ (* (sin y) z) (+ (cos y) x)))) (+ (* (sin y) z) (+ (cos y) x)) (sin y) (+ (cos y) x) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) -1/2) y) z) y) (+ 1 x)) (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (* (+ (* 1/6 (* z y)) -1/2) y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (+ (* (neg z) (sin y)) (+ (cos y) x)) (neg z) (/ (+ (* (neg z) (sin y)) (+ (cos y) x)) (+ (* (sin y) z) (+ (cos y) x))) (+ (* 1/6 (* z y)) -1/2) (cos y)) |
| 5.0ms | y | @ | -inf | ((* (+ (* (sin y) z) (+ (cos y) x)) (/ (+ (* (neg z) (sin y)) (+ (cos y) x)) (+ (* (sin y) z) (+ (cos y) x)))) (+ (* (sin y) z) (+ (cos y) x)) (sin y) (+ (cos y) x) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) -1/2) y) z) y) (+ 1 x)) (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (* (+ (* 1/6 (* z y)) -1/2) y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (+ (* (neg z) (sin y)) (+ (cos y) x)) (neg z) (/ (+ (* (neg z) (sin y)) (+ (cos y) x)) (+ (* (sin y) z) (+ (cos y) x))) (+ (* 1/6 (* z y)) -1/2) (cos y)) |
| 4.0ms | z | @ | inf | ((* (+ (* (sin y) z) (+ (cos y) x)) (/ (+ (* (neg z) (sin y)) (+ (cos y) x)) (+ (* (sin y) z) (+ (cos y) x)))) (+ (* (sin y) z) (+ (cos y) x)) (sin y) (+ (cos y) x) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) -1/2) y) z) y) (+ 1 x)) (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (* (+ (* 1/6 (* z y)) -1/2) y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (+ (* (neg z) (sin y)) (+ (cos y) x)) (neg z) (/ (+ (* (neg z) (sin y)) (+ (cos y) x)) (+ (* (sin y) z) (+ (cos y) x))) (+ (* 1/6 (* z y)) -1/2) (cos y)) |
| 3.0ms | z | @ | -inf | ((* (+ (* (sin y) z) (+ (cos y) x)) (/ (+ (* (neg z) (sin y)) (+ (cos y) x)) (+ (* (sin y) z) (+ (cos y) x)))) (+ (* (sin y) z) (+ (cos y) x)) (sin y) (+ (cos y) x) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) -1/2) y) z) y) (+ 1 x)) (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (* (+ (* 1/6 (* z y)) -1/2) y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (+ (* (neg z) (sin y)) (+ (cos y) x)) (neg z) (/ (+ (* (neg z) (sin y)) (+ (cos y) x)) (+ (* (sin y) z) (+ (cos y) x))) (+ (* 1/6 (* z y)) -1/2) (cos y)) |
| 3.0ms | y | @ | inf | ((* (+ (* (sin y) z) (+ (cos y) x)) (/ (+ (* (neg z) (sin y)) (+ (cos y) x)) (+ (* (sin y) z) (+ (cos y) x)))) (+ (* (sin y) z) (+ (cos y) x)) (sin y) (+ (cos y) x) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) -1/2) y) z) y) (+ 1 x)) (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (* (+ (* 1/6 (* z y)) -1/2) y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (+ (* (neg z) (sin y)) (+ (cos y) x)) (neg z) (/ (+ (* (neg z) (sin y)) (+ (cos y) x)) (+ (* (sin y) z) (+ (cos y) x))) (+ (* 1/6 (* z y)) -1/2) (cos y)) |
| 1× | egg-herbie |
| 7 368× | lower-fma.f64 |
| 7 368× | lower-fma.f32 |
| 4 732× | lower-*.f64 |
| 4 732× | lower-*.f32 |
| 4 000× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 639 | 6924 |
| 1 | 2007 | 6599 |
| 2 | 6526 | 6460 |
| 0 | 8218 | 6148 |
| 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) (* z (sin y)))) |
(+ x (+ (cos y) (* z (sin y)))) |
(+ x (+ (cos y) (* z (sin y)))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ 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 (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) |
(+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) |
(+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) |
(* -1/2 y) |
(+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1))) |
(+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1))) |
(+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1))) |
(* -1/2 y) |
(+ (* -1/2 y) (* 1/6 (* (pow y 2) z))) |
(+ (* -1/2 y) (* 1/6 (* (pow y 2) z))) |
(+ (* -1/2 y) (* 1/6 (* (pow y 2) 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))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(/ 1 (+ 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) |
1 |
(+ 1 (* z (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) |
(+ 1 (* z (- (+ (* -1 (/ (sin y) (+ x (cos y)))) (* -1 (/ (* z (* (sin y) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (+ x (cos y))))) (/ (sin y) (+ x (cos y)))))) |
(+ 1 (* z (- (+ (* -1 (/ (sin y) (+ x (cos y)))) (* z (- (/ (* z (* (pow (sin y) 2) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (pow (+ x (cos y)) 2)) (/ (* (sin y) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y))))) (+ x (cos y)))))) (/ (sin y) (+ x (cos y)))))) |
-1/2 |
(- (* 1/6 (* y z)) 1/2) |
(- (* 1/6 (* y z)) 1/2) |
(- (* 1/6 (* y z)) 1/2) |
(* -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)))) |
(* z (sin y)) |
(* z (+ (sin y) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (sin y) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (sin y) (+ (/ x z) (/ (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))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z))))) |
(* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z))))) |
(* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z))))) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) 1)) |
(* z (- (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) 1)) |
(* z (- (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) 1)) |
(* 1/6 (* (pow y 2) z)) |
(* z (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2)))) |
(* z (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2)))) |
(* z (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2)))) |
(* -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))) |
(* 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 |
(- (+ (/ x (* z (sin y))) (/ (cos y) (* z (sin y)))) (+ 1 (* -1 (/ (+ x (cos y)) (* z (sin y)))))) |
(- (+ (* -1 (/ (* (+ x (cos y)) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 2) (sin y)))) (+ (/ x (* z (sin y))) (/ (cos y) (* z (sin y))))) (+ 1 (* -1 (/ (+ x (cos y)) (* z (sin y)))))) |
(- (+ (/ x (* z (sin y))) (+ (/ (cos y) (* z (sin y))) (/ (* (pow (+ x (cos y)) 2) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 3) (pow (sin y) 2))))) (+ 1 (+ (* -1 (/ (+ x (cos y)) (* z (sin y)))) (/ (* (+ x (cos y)) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 2) (sin y)))))) |
(* 1/6 (* y z)) |
(* z (- (* 1/6 y) (* 1/2 (/ 1 z)))) |
(* z (- (* 1/6 y) (* 1/2 (/ 1 z)))) |
(* z (- (* 1/6 y) (* 1/2 (/ 1 z)))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ x (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 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2))))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2))))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2))))))) |
(* -1 (* z (+ 1 (* -1/6 (pow y 2))))) |
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z)))))) |
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z)))))) |
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z)))))) |
(* 1/6 (* (pow y 2) z)) |
(* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z))))) |
(* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z))))) |
(* -1 (* z (+ (* -1/6 (pow y 2)) (* 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))))) |
(* 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 |
(- (* -1 (/ (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1) |
(- (* -1 (/ (- (+ (* -1 (/ (* (+ x (cos y)) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (* z (sin y)))) (* -1 (/ (+ x (cos y)) (sin y)))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1) |
(- (* -1 (/ (- (+ (* -1 (/ (+ x (cos y)) (sin y))) (* -1 (/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (* z (pow (sin y) 2)))) (* -1 (/ (* (+ x (cos y)) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (sin y)))) z))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1) |
(* 1/6 (* y z)) |
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z))))) |
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z))))) |
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z))))) |
(+ 1 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 (* y z))) |
(+ 1 (+ x (* y (+ z (* -1/2 y))))) |
(+ 1 (+ x (* y (+ z (* y (- (* -1/6 (* y z)) 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 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* 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) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(* -1 z) |
(- (* -1/2 y) z) |
(- (* y (- (* 1/6 (* y z)) 1/2)) z) |
(- (* y (- (* 1/6 (* y z)) 1/2)) z) |
(* -1/2 y) |
(* y (- (* 1/6 (* y z)) 1/2)) |
(* y (- (* 1/6 (* y z)) 1/2)) |
(* 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 (* -1/2 (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))))))) |
(+ 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 |
(+ 1 (* y (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x))))) |
(+ 1 (* y (- (+ (* -1 (/ z (+ 1 x))) (* y (- (* 1/2 (/ 1 (+ 1 x))) (+ (* 1/2 (/ 1 (+ 1 x))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x)))))) (/ z (+ 1 x))))) |
(+ 1 (* y (- (+ (* -1 (/ z (+ 1 x))) (* y (- (* y (- (* 1/6 (/ z (+ 1 x))) (+ (* -1/2 (/ (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x))) (+ 1 x))) (+ (* -1/6 (/ z (+ 1 x))) (/ (* z (- (* 1/2 (/ 1 (+ 1 x))) (+ (* 1/2 (/ 1 (+ 1 x))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x))))) (+ 1 x)))))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x))))) (/ z (+ 1 x))))) |
-1/2 |
(- (* 1/6 (* y z)) 1/2) |
(- (* 1/6 (* y z)) 1/2) |
(- (* 1/6 (* y z)) 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))) |
(+ 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)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(* 1/6 (* (pow y 3) z)) |
(* (pow y 3) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* (pow y 3) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y)))) |
(* (pow y 3) (- (+ (* 1/6 z) (+ (/ 1 (pow y 3)) (/ x (pow y 3)))) (+ (* 1/2 (/ 1 y)) (/ z (pow y 2))))) |
(* 1/6 (* (pow y 2) z)) |
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* (pow y 2) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y)))) |
(* (pow y 2) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y)))) |
(* 1/6 (* (pow y 2) z)) |
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y)))))) |
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y)))))) |
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y)))))) |
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y)))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y))))) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y))))) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y))))) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y))))) |
(* 1/6 (* y z)) |
(* y (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* y (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* y (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(cos y) |
(cos y) |
(cos y) |
(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 (+ (cos y) (* z (sin y)))) |
(+ x (+ (cos y) (* z (sin y)))) |
(+ x (+ (cos y) (* z (sin y)))) |
(+ x (+ (cos y) (* z (sin y)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(* 1/6 (* (pow y 3) z)) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ z y)) 1/2) y)) (* -1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2) y)) (* -1/6 z)))) |
(* 1/6 (* (pow y 2) z)) |
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* (pow y 2) (+ (* -1 (/ (+ 1/2 (/ z y)) y)) (* 1/6 z))) |
(* (pow y 2) (+ (* -1 (/ (+ 1/2 (/ z y)) y)) (* 1/6 z))) |
(* 1/6 (* (pow y 2) z)) |
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y)))))) |
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y)))))) |
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y)))))) |
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y)))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y))))) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y))))) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y))))) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y))))) |
(* 1/6 (* y z)) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(cos y) |
(cos y) |
(cos y) |
(cos 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)))) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
1 |
(+ 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))) |
(+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) 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) (* -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) (* -1 (* z (sin y)))) (+ (cos y) (* z (sin y)))) |
(+ (* -1 (/ (* z (sin y)) (+ (cos y) (* z (sin y))))) (+ (* x (- (/ 1 (+ (cos y) (* z (sin y)))) (+ (* -1 (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2))))) (/ (cos y) (+ (cos y) (* z (sin y)))))) |
(+ (* -1 (/ (* z (sin y)) (+ (cos y) (* z (sin y))))) (+ (* x (- (+ (* x (- (+ (* -1 (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 3))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 3))) (/ 1 (pow (+ (cos y) (* z (sin y))) 2)))) (/ 1 (+ (cos y) (* z (sin y))))) (+ (* -1 (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2))))) (/ (cos y) (+ (cos y) (* z (sin y)))))) |
(+ (* -1 (/ (* z (sin y)) (+ (cos y) (* z (sin y))))) (+ (* x (- (+ (* x (- (+ (* -1 (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 3))) (+ (* x (- (/ 1 (pow (+ (cos y) (* z (sin y))) 3)) (+ (* -1 (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 4))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 4))))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 3)))) (/ 1 (pow (+ (cos y) (* z (sin y))) 2)))) (/ 1 (+ (cos y) (* z (sin y))))) (+ (* -1 (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2))))) (/ (cos y) (+ (cos y) (* z (sin y)))))) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
x |
(* x (+ 1 (+ (/ (cos y) x) (/ (* z (sin y)) x)))) |
(* x (+ 1 (+ (/ (cos y) x) (/ (* z (sin y)) x)))) |
(* x (+ 1 (+ (/ (cos y) x) (/ (* z (sin y)) x)))) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* 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 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) 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 (+ (* -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)))) |
1 |
(- (+ 1 (* -1 (/ (* z (sin y)) x))) (/ (* z (sin y)) x)) |
(- (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (* -1 (/ (* (+ (cos y) (* z (sin y))) (- (* -1 (* z (sin y))) (* z (sin y)))) (pow x 2))))) (/ (* z (sin y)) x)) |
(- (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (* (pow (+ (cos y) (* z (sin y))) 2) (- (* -1 (* z (sin y))) (* z (sin y)))) (pow x 3)))) (+ (/ (* z (sin y)) x) (/ (* (+ (cos y) (* z (sin y))) (- (* -1 (* z (sin y))) (* z (sin y)))) (pow x 2)))) |
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 (/ (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 |
(* 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 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) 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) (* -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))) |
1 |
(+ 1 (* -1 (/ (- (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (+ (cos y) (* z (sin y))))) x))) |
(+ 1 (* -1 (/ (- (+ (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (/ (* (+ (cos y) (* z (sin y))) (- (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (+ (cos y) (* z (sin y)))))) x))) (* -1 (+ (cos y) (* z (sin y))))) x))) |
(+ 1 (* -1 (/ (- (+ (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (/ (- (* -1 (/ (* (pow (+ (cos y) (* z (sin y))) 2) (- (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (+ (cos y) (* z (sin y)))))) x)) (* -1 (* (+ (cos y) (* z (sin y))) (- (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (+ (cos y) (* z (sin y)))))))) x))) (* -1 (+ (cos y) (* z (sin y))))) x))) |
| Outputs |
|---|
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* z (sin y)))) |
(fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* z (sin y)))) |
(fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* z (sin y)))) |
(fma.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 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) |
(+.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) x) (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 y)) z #s(literal 1 binary64))) |
(+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) |
(+.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) x) (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 y)) z #s(literal 1 binary64))) |
(+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) |
(+.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) x) (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 y)) z #s(literal 1 binary64))) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z (*.f64 #s(literal -1/2 binary64) y)) |
(+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z (*.f64 #s(literal -1/2 binary64) y)) |
(+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z (*.f64 #s(literal -1/2 binary64) y)) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(+ (* -1/2 y) (* 1/6 (* (pow y 2) z))) |
(*.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y) |
(+ (* -1/2 y) (* 1/6 (* (pow y 2) z))) |
(*.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y) |
(+ (* -1/2 y) (* 1/6 (* (pow y 2) z))) |
(*.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y) |
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(/ 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 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) x) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) (pow x 3)))) (+ (* -1 (/ (* z (sin y)) x)) (+ (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2))) (/ (cos y) x)))) x) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 3 binary64))) (-.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x)))) x) |
x |
(* 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 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ (* z (sin y)) x))) (/ (* z (sin y)) x)) |
(+.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) z) #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (* -1 (/ (* (+ (cos y) (* z (sin y))) (- (* -1 (* z (sin y))) (* z (sin y)))) (pow x 2))))) (/ (* z (sin y)) x)) |
(+.f64 (fma.f64 (neg.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))) (/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) z) #s(literal -2 binary64)) x) x) (/.f64 (*.f64 (*.f64 (sin.f64 y) z) #s(literal -2 binary64)) x)) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (* (pow (+ (cos y) (* z (sin y))) 2) (- (* -1 (* z (sin y))) (* z (sin y)))) (pow x 3)))) (+ (/ (* z (sin y)) x) (/ (* (+ (cos y) (* z (sin y))) (- (* -1 (* z (sin y))) (* z (sin y)))) (pow x 2)))) |
(+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) z) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (fma.f64 (sin.f64 y) z (cos.f64 y))) (/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) z) #s(literal -2 binary64)) x) x) (/.f64 (*.f64 (*.f64 (sin.f64 y) z) #s(literal -2 binary64)) x))) #s(literal 1 binary64)) |
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 (sin.f64 y) z (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 (sin.f64 y) z (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 (sin.f64 y) z (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 |
(* 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))) |
(*.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 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y (neg.f64 z)) y #s(literal 1 binary64)) x))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y (neg.f64 z)) y #s(literal 1 binary64)) x))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #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) 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) (* -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 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) x)) (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 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64)) x) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))) x) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) x) #s(literal 1 binary64)) (neg.f64 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 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (+ (cos y) (* z (sin y))))) x))) |
(+.f64 (/.f64 (-.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (fma.f64 (sin.f64 y) z (cos.f64 y)))) x) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (/ (* (+ (cos y) (* z (sin y))) (- (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (+ (cos y) (* z (sin y)))))) x))) (* -1 (+ (cos y) (* z (sin y))))) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) (/.f64 (-.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (fma.f64 (sin.f64 y) z (cos.f64 y)))) x) (fma.f64 #s(literal -1 binary64) (cos.f64 y) (fma.f64 (sin.f64 y) z (fma.f64 (sin.f64 y) z (cos.f64 y))))) x)) |
(+ 1 (* -1 (/ (- (+ (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (/ (- (* -1 (/ (* (pow (+ (cos y) (* z (sin y))) 2) (- (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (+ (cos y) (* z (sin y)))))) x)) (* -1 (* (+ (cos y) (* z (sin y))) (- (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (+ (cos y) (* z (sin y)))))))) x))) (* -1 (+ (cos y) (* z (sin y))))) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 y) (fma.f64 (sin.f64 y) z (fma.f64 (sin.f64 y) z (cos.f64 y)))) x) (pow.f64 (fma.f64 (sin.f64 y) z (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (-.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (fma.f64 (sin.f64 y) z (cos.f64 y)))) (fma.f64 (sin.f64 y) z (cos.f64 y)))) x) (-.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (fma.f64 (sin.f64 y) z (cos.f64 y))))) x)) |
| 4 104× | lower-/.f32 |
| 4 100× | lower-/.f64 |
| 3 820× | lower-*.f32 |
| 3 812× | lower-*.f64 |
| 3 152× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 201 |
| 0 | 58 | 233 |
| 1 | 257 | 179 |
| 2 | 2162 | 179 |
| 0 | 8218 | 179 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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)))) |
(fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) |
(sin.f64 y) |
(+.f64 (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(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))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)) |
(-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) 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)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(neg.f64 z) |
(/.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))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) |
(cos.f64 y) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 x (cos.f64 y)) (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (-.f64 (-.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 x (cos.f64 y)) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (neg.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (+.f64 x (cos.f64 y)) (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z y) #s(literal -1/12 binary64)))) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal -1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z y) #s(literal -1/12 binary64)))) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal -1/8 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) |
(fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) z) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 z y) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal 1/6 binary64))) |
(cos.f64 y) |
Compiled 63 643 to 4 050 computations (93.6% saved)
26 alts after pruning (25 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 037 | 24 | 2 061 |
| Fresh | 8 | 1 | 9 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 049 | 26 | 2 075 |
| Status | Accuracy | Program |
|---|---|---|
| 88.4% | (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| 60.2% | (pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) | |
| 60.2% | (pow.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))) #s(literal 2 binary64)) | |
| 60.0% | (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))) #s(literal -1 binary64)))) | |
| 27.9% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.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))) | |
| 69.9% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)))) | |
| 43.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| 31.0% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) | |
| 52.5% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) | |
| 88.6% | (*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(approx (/ (+ (* (neg z) (sin y)) (+ (cos y) x)) (+ (* (sin y) z) (+ (cos y) x))) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (fma.f64 (sin.f64 y) z (cos.f64 y))))) | |
| ▶ | 91.0% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) |
| 58.1% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) | |
| ▶ | 70.0% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x)) |
| ▶ | 89.9% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
| 31.0% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| ▶ | 53.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
| 53.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y) z) y (+.f64 #s(literal 1 binary64) x))) | |
| 53.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) | |
| 27.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) | |
| 45.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 #s(literal -1/2 binary64) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) | |
| 45.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) | |
| 46.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x))) | |
| 61.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) | |
| ✓ | 59.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| 46.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) -1/2) y) z) y) (+ 1 x)) (*.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)))) z))) | |
| ▶ | 18.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
Compiled 700 to 572 computations (18.3% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (+.f64 (cos.f64 y) x) z) | |
| cost-diff | 0 | (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) | |
| cost-diff | 704 | (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (+.f64 (cos.f64 y) x) | |
| cost-diff | 0 | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) | |
| cost-diff | 0 | (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 128 | (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (+ 1 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (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 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (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) |
| 9 760× | lower-fma.f32 |
| 9 752× | lower-fma.f64 |
| 3 180× | lower-*.f32 |
| 3 174× | lower-*.f64 |
| 1 736× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 251 |
| 0 | 62 | 250 |
| 1 | 101 | 238 |
| 2 | 168 | 226 |
| 3 | 381 | 226 |
| 4 | 747 | 226 |
| 5 | 1534 | 226 |
| 6 | 3016 | 226 |
| 7 | 6033 | 226 |
| 0 | 8348 | 224 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (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))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)) |
(-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/6 binary64) z) |
#s(literal 1/6 binary64) |
z |
y |
#s(literal -1/2 binary64) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) |
(/.f64 (+.f64 (cos.f64 y) x) z) |
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
z |
(sin.f64 y) |
| Outputs |
|---|
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (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 (cos.f64 y) x))) |
(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 (cos.f64 y) x)) |
(/.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))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) #s(literal 1/2 binary64)) y z) y #s(literal -1 binary64)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)) |
(-.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) #s(literal 1/2 binary64)) y z) y #s(literal -1 binary64))) |
(-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/6 binary64) z) |
#s(literal 1/6 binary64) |
z |
y |
#s(literal -1/2 binary64) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
(-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) |
(/.f64 (+.f64 (cos.f64 y) x) z) |
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
z |
(sin.f64 y) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) | |
| accuracy | 0.01953125 | (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) | |
| accuracy | 0.07421875 | (/.f64 (+.f64 (cos.f64 y) x) z) | |
| accuracy | 6.4982908170407985 | (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) | |
| accuracy | 0 | (+.f64 (cos.f64 y) x) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 19.18513191689105 | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x)) | |
| accuracy | 0.0625 | (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) | |
| accuracy | 0.0859375 | (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) | |
| accuracy | 0.33984375 | (*.f64 #s(literal 1/6 binary64) z) | |
| accuracy | 29.750864083155655 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) | |
| accuracy | 26.133652224973694 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) | |
| accuracy | 32.09362357665106 | #s(approx (+ 1 x) #s(literal 1 binary64)) | |
| accuracy | 0 | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) | |
| accuracy | 0.06640625 | (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) | |
| accuracy | 0.16015625 | (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) | |
| accuracy | 5.759586447497908 | (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
| 93.0ms | 256× | 0 | valid |
Compiled 208 to 35 computations (83.2% saved)
ival-mult: 12.0ms (19.3% of total)exact: 11.0ms (17.7% of total)ival-add: 10.0ms (16.1% of total)ival-sin: 6.0ms (9.7% of total)ival-cos: 6.0ms (9.7% of total)ival-div: 5.0ms (8.1% of total)ival-sub: 4.0ms (6.4% of total)ival-pow: 4.0ms (6.4% of total)const: 3.0ms (4.8% of total)ival-neg: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 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 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (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 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #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 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #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 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) (patch (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x)) (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.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 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) (patch (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) (patch (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (cos.f64 y) x) z) (patch (/.f64 (+.f64 (cos.f64 y) x) z) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/6 binary64) z) (patch (*.f64 #s(literal 1/6 binary64) z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/6 binary64) z) 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 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (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 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (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 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (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 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (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 (+ 1 (+ x (* -1/2 (pow y 2)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) y (+.f64 #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))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #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 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) y (+.f64 #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))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #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 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) y (+.f64 #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))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #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 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) y (+.f64 #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))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #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 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 y) (taylor 0 z) (#s(alt (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) (patch (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) (patch (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) (patch (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) (patch (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 y) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 y) (* 1/6 (* (pow y 2) z))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 y) (* 1/6 (* (pow y 2) z))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 y) (* 1/6 (* (pow y 2) z))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x)) (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x)) (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x)) (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x)) (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) (patch (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) (patch (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) (patch (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #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 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #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 (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x)) (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x)) (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x)) (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x)) (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.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 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) (patch (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) (patch (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) (patch (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) (patch (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) (patch (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) (patch (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) (patch (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) (patch (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 (+.f64 (cos.f64 y) x) z) (patch (/.f64 (+.f64 (cos.f64 y) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 (cos.f64 y) x) z) (patch (/.f64 (+.f64 (cos.f64 y) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 (cos.f64 y) x) z) (patch (/.f64 (+.f64 (cos.f64 y) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 (cos.f64 y) x) z) (patch (/.f64 (+.f64 (cos.f64 y) x) z) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | ((+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (neg z) (sin y)) (cos y)) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (* (+ (* (* 1/6 z) y) -1/2) y) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+ (cos y) x) (cos y) (* (- (/ (+ (cos y) x) z) (sin y)) z) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (- (/ (+ (cos y) x) z) (sin y)) (/ (+ (cos y) x) z) (* 1/6 z) (+ (* (* 1/6 z) y) -1/2)) |
| 3.0ms | z | @ | 0 | ((+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (neg z) (sin y)) (cos y)) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (* (+ (* (* 1/6 z) y) -1/2) y) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+ (cos y) x) (cos y) (* (- (/ (+ (cos y) x) z) (sin y)) z) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (- (/ (+ (cos y) x) z) (sin y)) (/ (+ (cos y) x) z) (* 1/6 z) (+ (* (* 1/6 z) y) -1/2)) |
| 3.0ms | x | @ | -inf | ((+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (neg z) (sin y)) (cos y)) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (* (+ (* (* 1/6 z) y) -1/2) y) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+ (cos y) x) (cos y) (* (- (/ (+ (cos y) x) z) (sin y)) z) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (- (/ (+ (cos y) x) z) (sin y)) (/ (+ (cos y) x) z) (* 1/6 z) (+ (* (* 1/6 z) y) -1/2)) |
| 3.0ms | z | @ | -inf | ((+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (neg z) (sin y)) (cos y)) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (* (+ (* (* 1/6 z) y) -1/2) y) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+ (cos y) x) (cos y) (* (- (/ (+ (cos y) x) z) (sin y)) z) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (- (/ (+ (cos y) x) z) (sin y)) (/ (+ (cos y) x) z) (* 1/6 z) (+ (* (* 1/6 z) y) -1/2)) |
| 3.0ms | x | @ | inf | ((+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (neg z) (sin y)) (cos y)) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (* (+ (* (* 1/6 z) y) -1/2) y) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+ (cos y) x) (cos y) (* (- (/ (+ (cos y) x) z) (sin y)) z) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (- (/ (+ (cos y) x) z) (sin y)) (/ (+ (cos y) x) z) (* 1/6 z) (+ (* (* 1/6 z) y) -1/2)) |
| 1× | egg-herbie |
| 12 606× | lower-fma.f64 |
| 12 606× | lower-fma.f32 |
| 3 884× | lower-*.f64 |
| 3 884× | lower-*.f32 |
| 3 800× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 310 | 5489 |
| 1 | 954 | 5161 |
| 2 | 2819 | 4895 |
| 3 | 7041 | 4885 |
| 0 | 8393 | 4606 |
| 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))))) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) |
(+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) |
(+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) |
(+ 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) |
(+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1))) |
(+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1))) |
(+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1))) |
(* -1/2 y) |
(+ (* -1/2 y) (* 1/6 (* (pow y 2) z))) |
(+ (* -1/2 y) (* 1/6 (* (pow y 2) z))) |
(+ (* -1/2 y) (* 1/6 (* (pow y 2) 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))))) |
(/ (+ x (cos y)) z) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(* 1/6 z) |
(* 1/6 z) |
(* 1/6 z) |
(* 1/6 z) |
-1/2 |
(- (* 1/6 (* y z)) 1/2) |
(- (* 1/6 (* y z)) 1/2) |
(- (* 1/6 (* y z)) 1/2) |
(* -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))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z))))) |
(* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z))))) |
(* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 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))) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) 1)) |
(* z (- (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) 1)) |
(* z (- (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) 1)) |
(* 1/6 (* (pow y 2) z)) |
(* z (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2)))) |
(* z (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2)))) |
(* z (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2)))) |
(* -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))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* -1 (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(* 1/6 z) |
(* 1/6 z) |
(* 1/6 z) |
(* 1/6 z) |
(* 1/6 (* y z)) |
(* z (- (* 1/6 y) (* 1/2 (/ 1 z)))) |
(* z (- (* 1/6 y) (* 1/2 (/ 1 z)))) |
(* z (- (* 1/6 y) (* 1/2 (/ 1 z)))) |
(* -1 (* 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 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2))))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2))))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2))))))) |
(* -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 (* -1/6 (pow y 2))))) |
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z)))))) |
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z)))))) |
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z)))))) |
(* 1/6 (* (pow y 2) z)) |
(* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z))))) |
(* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z))))) |
(* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (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 (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(* 1/6 z) |
(* 1/6 z) |
(* 1/6 z) |
(* 1/6 z) |
(* 1/6 (* y z)) |
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z))))) |
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z))))) |
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z))))) |
(+ 1 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 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 z) |
(- (* -1/2 y) z) |
(- (* y (- (* 1/6 (* y z)) 1/2)) z) |
(- (* y (- (* 1/6 (* y z)) 1/2)) z) |
(* -1/2 y) |
(* y (- (* 1/6 (* y z)) 1/2)) |
(* y (- (* 1/6 (* y z)) 1/2)) |
(* 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 (+ 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))) |
(* z (+ (/ 1 z) (/ x z))) |
(+ (* -1 (* y z)) (* z (+ (/ 1 z) (/ x z)))) |
(+ (* y (+ (* -1 z) (* -1/2 y))) (* z (+ (/ 1 z) (/ x z)))) |
(+ (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))) (* z (+ (/ 1 z) (/ x z)))) |
(+ 1 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 z) (/ x z)) |
(+ (* -1 y) (+ (/ 1 z) (/ x z))) |
(+ (* y (- (* -1/2 (/ y z)) 1)) (+ (/ 1 z) (/ x z))) |
(+ (* y (- (* y (- (* 1/6 y) (* 1/2 (/ 1 z)))) 1)) (+ (/ 1 z) (/ x z))) |
(/ (+ 1 x) z) |
(+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (+ (/ 1 z) (/ x z))) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (+ (/ 1 z) (/ x z))) |
-1/2 |
(- (* 1/6 (* y z)) 1/2) |
(- (* 1/6 (* y z)) 1/2) |
(- (* 1/6 (* y z)) 1/2) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(+ (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))) |
(* 1/6 (* (pow y 3) z)) |
(* (pow y 3) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* (pow y 3) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y)))) |
(* (pow y 3) (- (+ (* 1/6 z) (+ (/ 1 (pow y 3)) (/ x (pow y 3)))) (+ (* 1/2 (/ 1 y)) (/ z (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))) |
(* 1/6 (* (pow y 2) z)) |
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* (pow y 2) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y)))) |
(* (pow y 2) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y)))) |
(* 1/6 (* (pow y 2) z)) |
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(+ 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 z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(* 1/6 (* y z)) |
(* y (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* y (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* y (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(+ 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))) |
(* 1/6 (* (pow y 3) z)) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ z y)) 1/2) y)) (* -1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2) y)) (* -1/6 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))) |
(* 1/6 (* (pow y 2) z)) |
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* (pow y 2) (+ (* -1 (/ (+ 1/2 (/ z y)) y)) (* 1/6 z))) |
(* (pow y 2) (+ (* -1 (/ (+ 1/2 (/ z y)) y)) (* 1/6 z))) |
(* 1/6 (* (pow y 2) z)) |
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(+ 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 z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(* 1/6 (* y z)) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(+ (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) |
(+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) 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) (* -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) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(* z (- (/ (cos y) z) (sin y))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(- (/ (cos y) z) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(/ (cos y) z) |
(+ (/ x z) (/ (cos y) z)) |
(+ (/ x z) (/ (cos y) z)) |
(+ (/ x z) (/ (cos y) z)) |
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 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) 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 (+ (* -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))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(/ x z) |
(* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(/ x z) |
(* x (+ (/ 1 z) (/ (cos y) (* x z)))) |
(* x (+ (/ 1 z) (/ (cos y) (* x z)))) |
(* x (+ (/ 1 z) (/ (cos y) (* x z)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
x |
(* -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 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) 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) (* -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) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(/ x z) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(/ x z) |
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) |
| 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)) |
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(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)) |
(+ (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)) |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(+ (/ x z) (/ (cos y) z)) |
(+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) |
(+ (/ x z) (/ (cos y) z)) |
(+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) |
(+ (/ x z) (/ (cos y) z)) |
(+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) |
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 (+ (* -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) |
(/ (+ (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 (/.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 (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) x) y #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) x) y #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) x) y #s(literal 1 binary64)) x #s(literal 1 binary64)) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
x |
(* x (+ 1 (+ (* -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))) |
(fma.f64 (cos.f64 y) #s(literal 1 binary64) x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (cos.f64 y) #s(literal 1 binary64) x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (cos.f64 y) #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(/ x z) |
(/.f64 x z) |
(* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) x (/.f64 x z)) |
(* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) x (/.f64 x z)) |
(* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) x (/.f64 x z)) |
(/ x z) |
(/.f64 x z) |
(* x (+ (/ 1 z) (/ (cos y) (* x z)))) |
(fma.f64 (/.f64 (cos.f64 y) z) #s(literal 1 binary64) (/.f64 x z)) |
(* x (+ (/ 1 z) (/ (cos y) (* x z)))) |
(fma.f64 (/.f64 (cos.f64 y) z) #s(literal 1 binary64) (/.f64 x z)) |
(* x (+ (/ 1 z) (/ (cos y) (* x z)))) |
(fma.f64 (/.f64 (cos.f64 y) z) #s(literal 1 binary64) (/.f64 x z)) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x 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 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(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 |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) y #s(literal 1 binary64)) x))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) y #s(literal 1 binary64)) x))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #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))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(-.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(-.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(-.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) (neg.f64 x)) |
x |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(/ x z) |
(/.f64 x z) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) x (/.f64 x z)) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) x (/.f64 x z)) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) x (/.f64 x z)) |
(/ x z) |
(/.f64 x z) |
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) |
(fma.f64 (/.f64 (cos.f64 y) z) #s(literal 1 binary64) (/.f64 x z)) |
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) |
(fma.f64 (/.f64 (cos.f64 y) z) #s(literal 1 binary64) (/.f64 x z)) |
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) |
(fma.f64 (/.f64 (cos.f64 y) z) #s(literal 1 binary64) (/.f64 x z)) |
| 4 428× | lower-/.f32 |
| 4 424× | lower-/.f64 |
| 4 070× | lower-*.f32 |
| 4 064× | lower-*.f64 |
| 3 338× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 219 |
| 0 | 62 | 210 |
| 1 | 258 | 204 |
| 2 | 2073 | 202 |
| 0 | 8322 | 200 |
| 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 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (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)) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #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 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
(-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) |
(/.f64 (+.f64 (cos.f64 y) x) z) |
(*.f64 #s(literal 1/6 binary64) z) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) |
| Outputs |
|---|
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x)) x) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x (-.f64 x (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x)) (fma.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) z) y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal -1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) z) y))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal -1/2 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal -1/2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal -1/8 binary64)) (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal -1/2 binary64)))) (fma.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal -1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal -1/2 binary64)))) (fma.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal -1/8 binary64)))) |
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) z #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 y z) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y z) #s(literal -1/2 binary64)) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) z) #s(literal -1/2 binary64)) |
(fma.f64 z (*.f64 #s(literal 1/6 binary64) y) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) z) y))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal 2 binary64)) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) z) y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) #s(literal -1/2 binary64)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) z) y)) |
Compiled 23 795 to 2 630 computations (88.9% saved)
35 alts after pruning (32 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 050 | 20 | 1 070 |
| Fresh | 8 | 12 | 20 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 061 | 35 | 1 096 |
| Status | Accuracy | Program |
|---|---|---|
| 88.4% | (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| 60.2% | (pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) | |
| 60.2% | (pow.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))) #s(literal 2 binary64)) | |
| 60.0% | (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))) #s(literal -1 binary64)))) | |
| 69.9% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)))) | |
| 43.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| 31.0% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) | |
| 52.5% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) | |
| 59.1% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x)) | |
| ▶ | 90.2% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) (pow.f64 x #s(literal -1 binary64)) x)) |
| ▶ | 58.1% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
| ▶ | 52.2% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) x x)) |
| 60.3% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) x x)) | |
| 44.9% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y)) (pow.f64 (/.f64 (+.f64 x (cos.f64 y)) z) #s(literal 2 binary64))))) | |
| 56.9% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (+.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y)))) | |
| ▶ | 61.0% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
| ✓ | 70.0% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x)) |
| 43.9% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.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)) | |
| 44.7% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.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)) | |
| 46.1% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))) x)) | |
| 78.4% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) z) (sin.f64 y)) z)) | |
| 58.0% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (-.f64 (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (sin.f64 y)) z)) | |
| 31.0% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 33.3% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 x z)) z)) | |
| 49.1% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) z)) | |
| 29.0% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (cos y) x) (cos.f64 y))) | |
| 53.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) | |
| 53.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y) z) y (+.f64 #s(literal 1 binary64) x))) | |
| ▶ | 53.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
| 45.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) | |
| 45.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 #s(literal -1/2 binary64) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) | |
| ✓ | 59.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| 52.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y #s(literal -1 binary64)) y) z (+.f64 #s(literal 1 binary64) x)))) | |
| 2.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) (*.f64 y y)))) | |
| ✓ | 18.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
Compiled 908 to 740 computations (18.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) | |
| cost-diff | 0 | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) x x) | |
| cost-diff | 0 | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) x x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z) | |
| cost-diff | 0 | #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) | |
| cost-diff | 0 | (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (fma.f64 z y #s(literal -1 binary64)) | |
| cost-diff | 0 | (-.f64 x (fma.f64 z y #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) | |
| cost-diff | 0 | (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) | |
| cost-diff | 0 | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) (pow.f64 x #s(literal -1 binary64)) x)) | |
| cost-diff | 6976 | (fma.f64 (*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) (pow.f64 x #s(literal -1 binary64)) x) |
| 8 096× | lower-fma.f32 |
| 8 076× | lower-fma.f64 |
| 3 504× | lower-*.f32 |
| 3 496× | lower-*.f64 |
| 1 644× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 402 |
| 0 | 87 | 395 |
| 1 | 159 | 379 |
| 2 | 284 | 369 |
| 3 | 695 | 369 |
| 4 | 1520 | 369 |
| 5 | 4050 | 369 |
| 6 | 6010 | 369 |
| 0 | 8607 | 369 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) (pow.f64 x #s(literal -1 binary64)) x)) |
(fma.f64 (*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) (pow.f64 x #s(literal -1 binary64)) x) |
(*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) |
x |
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) |
(sin.f64 y) |
y |
(neg.f64 z) |
z |
(cos.f64 y) |
(pow.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
(-.f64 x (fma.f64 z y #s(literal -1 binary64))) |
x |
(fma.f64 z y #s(literal -1 binary64)) |
z |
y |
#s(literal -1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 y y) |
y |
#s(literal -1 binary64) |
z |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) x x)) |
(fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) x x) |
#s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/6 binary64) y) |
#s(literal 1/6 binary64) |
y |
z |
#s(literal -1/2 binary64) |
(neg.f64 z) |
(/.f64 y x) |
x |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(cos.f64 y) |
| Outputs |
|---|
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) (pow.f64 x #s(literal -1 binary64)) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))) |
(fma.f64 (*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) (pow.f64 x #s(literal -1 binary64)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) |
(*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
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) |
(pow.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
(-.f64 x (fma.f64 z y #s(literal -1 binary64))) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
x |
(fma.f64 z y #s(literal -1 binary64)) |
(fma.f64 y z #s(literal -1 binary64)) |
z |
y |
#s(literal -1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) y (-.f64 x #s(literal -1 binary64))) |
#s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) |
#s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 y y) |
y |
#s(literal -1 binary64) |
z |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) x x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) x) y (pow.f64 x #s(literal -1 binary64)))) x x)) |
(fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) x x) |
(fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) x) y (pow.f64 x #s(literal -1 binary64)))) x x) |
#s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) x) y (pow.f64 x #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) x) y (pow.f64 x #s(literal -1 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/6 binary64) y) |
#s(literal 1/6 binary64) |
y |
z |
#s(literal -1/2 binary64) |
(neg.f64 z) |
(/.f64 y x) |
x |
(/.f64 #s(literal 1 binary64) x) |
(pow.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(cos.f64 y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.06640625 | (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) | |
| accuracy | 26.78756064040292 | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) | |
| accuracy | 0.3203125 | (*.f64 #s(literal 1/6 binary64) y) | |
| accuracy | 3.0305060608035417 | (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 5.759586447497908 | (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) x x) | |
| accuracy | 28.912011690036795 | #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.078125 | (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) | |
| accuracy | 3.989277227116996 | (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z) | |
| accuracy | 14.848245699256463 | #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) | |
| accuracy | 29.750864083155655 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0 | (fma.f64 z y #s(literal -1 binary64)) | |
| accuracy | 0.00390625 | (-.f64 x (fma.f64 z y #s(literal -1 binary64))) | |
| accuracy | 24.975863360028356 | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) | |
| accuracy | 0 | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) (pow.f64 x #s(literal -1 binary64)) x)) | |
| accuracy | 0.06640625 | (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) | |
| accuracy | 0.14453125 | (*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) | |
| accuracy | 6.29016852024515 | (fma.f64 (*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) (pow.f64 x #s(literal -1 binary64)) x) |
| 113.0ms | 256× | 0 | valid |
Compiled 282 to 54 computations (80.9% saved)
ival-mult: 33.0ms (38.4% of total)ival-add: 17.0ms (19.8% of total)ival-pow: 9.0ms (10.5% of total)ival-div: 6.0ms (7% of total)ival-sin: 6.0ms (7% of total)ival-cos: 5.0ms (5.8% of total)const: 4.0ms (4.7% of total)ival-sub: 3.0ms (3.5% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) (pow.f64 x #s(literal -1 binary64)) x) (patch (fma.f64 (*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) (pow.f64 x #s(literal -1 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) (pow.f64 x #s(literal -1 binary64)) x)) (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) (pow.f64 x #s(literal -1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) (patch (*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) #<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 (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 x (fma.f64 z y #s(literal -1 binary64))) (patch (-.f64 x (fma.f64 z y #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 z y #s(literal -1 binary64)) (patch (fma.f64 z y #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) (patch #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z) (patch (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) x x)) (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) x x) (patch (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) x x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) #<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 (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/6 binary64) y) (patch (*.f64 #s(literal 1/6 binary64) y) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) (pow.f64 x #s(literal -1 binary64)) x) (patch (fma.f64 (*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) (pow.f64 x #s(literal -1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) (pow.f64 x #s(literal -1 binary64)) x) (patch (fma.f64 (*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) (pow.f64 x #s(literal -1 binary64)) x) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) x x) (patch (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) x x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (cos y) (* -1 (* z (sin y)))) x) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (cos y) (* -1 (* z (sin y)))) x) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (cos y) (* -1 (* z (sin y)))) x) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (cos y) (* -1 (* z (sin y)))) x) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) 1) x)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) 1) x)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) 1) x)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) 1) x)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) (patch #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | z | @ | 0 | ((+ (* (* x (+ (* (sin y) (neg z)) (cos y))) (pow x -1)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (* x (+ (* (sin y) (neg z)) (cos y))) (+ (* (sin y) (neg z)) (cos y)) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (- x (+ (* z y) -1)) (+ (* z y) -1) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (* (+ (* 1/6 (* y y)) -1) z) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (+ (* (+ (* (* 1/6 y) z) -1/2) y) (neg z)) (/ y x)) (/ 1 x)) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+ (* (neg z) (sin y)) (cos y)) (neg z) (sin y) (+ (* 1/6 (* y y)) -1) (* 1/6 y) (cos y)) |
| 4.0ms | x | @ | -inf | ((+ (* (* x (+ (* (sin y) (neg z)) (cos y))) (pow x -1)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (* x (+ (* (sin y) (neg z)) (cos y))) (+ (* (sin y) (neg z)) (cos y)) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (- x (+ (* z y) -1)) (+ (* z y) -1) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (* (+ (* 1/6 (* y y)) -1) z) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (+ (* (+ (* (* 1/6 y) z) -1/2) y) (neg z)) (/ y x)) (/ 1 x)) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+ (* (neg z) (sin y)) (cos y)) (neg z) (sin y) (+ (* 1/6 (* y y)) -1) (* 1/6 y) (cos y)) |
| 4.0ms | y | @ | inf | ((+ (* (* x (+ (* (sin y) (neg z)) (cos y))) (pow x -1)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (* x (+ (* (sin y) (neg z)) (cos y))) (+ (* (sin y) (neg z)) (cos y)) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (- x (+ (* z y) -1)) (+ (* z y) -1) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (* (+ (* 1/6 (* y y)) -1) z) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (+ (* (+ (* (* 1/6 y) z) -1/2) y) (neg z)) (/ y x)) (/ 1 x)) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+ (* (neg z) (sin y)) (cos y)) (neg z) (sin y) (+ (* 1/6 (* y y)) -1) (* 1/6 y) (cos y)) |
| 3.0ms | z | @ | -inf | ((+ (* (* x (+ (* (sin y) (neg z)) (cos y))) (pow x -1)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (* x (+ (* (sin y) (neg z)) (cos y))) (+ (* (sin y) (neg z)) (cos y)) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (- x (+ (* z y) -1)) (+ (* z y) -1) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (* (+ (* 1/6 (* y y)) -1) z) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (+ (* (+ (* (* 1/6 y) z) -1/2) y) (neg z)) (/ y x)) (/ 1 x)) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+ (* (neg z) (sin y)) (cos y)) (neg z) (sin y) (+ (* 1/6 (* y y)) -1) (* 1/6 y) (cos y)) |
| 3.0ms | x | @ | inf | ((+ (* (* x (+ (* (sin y) (neg z)) (cos y))) (pow x -1)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (* x (+ (* (sin y) (neg z)) (cos y))) (+ (* (sin y) (neg z)) (cos y)) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (- x (+ (* z y) -1)) (+ (* z y) -1) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (* (+ (* 1/6 (* y y)) -1) z) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (+ (* (+ (* (* 1/6 y) z) -1/2) y) (neg z)) (/ y x)) (/ 1 x)) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+ (* (neg z) (sin y)) (cos y)) (neg z) (sin y) (+ (* 1/6 (* y y)) -1) (* 1/6 y) (cos y)) |
| 1× | egg-herbie |
| 13 400× | lower-fma.f64 |
| 13 400× | lower-fma.f32 |
| 6 784× | lower-*.f64 |
| 6 784× | lower-*.f32 |
| 3 216× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 387 | 6245 |
| 1 | 1214 | 5861 |
| 2 | 3746 | 5798 |
| 0 | 8484 | 5559 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* x (cos y)) |
(+ (* -1 (* x (* z (sin y)))) (* x (cos y))) |
(+ (* -1 (* x (* z (sin y)))) (* x (cos y))) |
(+ (* -1 (* x (* z (sin y)))) (* x (cos 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 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* -1 (* y z)))) |
-1 |
(- (* y z) 1) |
(- (* y z) 1) |
(- (* y z) 1) |
(+ 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 (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) |
(+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) |
(+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) |
(* -1/2 y) |
(+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1))) |
(+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1))) |
(+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1))) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(+ 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)) |
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x)) |
(+ (* -1/2 (/ (pow y 2) x)) (+ (/ 1 x) (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x))) |
(+ (* -1/2 (/ (pow y 2) x)) (+ (/ 1 x) (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x))) |
(+ (* -1/2 (/ (pow y 2) x)) (+ (/ 1 x) (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(cos y) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 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)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* -1 (* x (* z (sin y)))) |
(* z (+ (* -1 (* x (sin y))) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (* x (sin y))) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (* x (sin y))) (/ (* x (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 (+ (* -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 (* y z)) |
(* z (- (+ (/ 1 z) (/ x z)) y)) |
(* z (- (+ (/ 1 z) (/ x z)) y)) |
(* z (- (+ (/ 1 z) (/ x z)) y)) |
(* y z) |
(* z (- y (/ 1 z))) |
(* z (- y (/ 1 z))) |
(* z (- y (/ 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))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z))))) |
(* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z))))) |
(* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z))))) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) 1)) |
(* z (- (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) 1)) |
(* z (- (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) 1)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* -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)))) |
(/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x) |
(* z (+ (* -1/2 (/ (pow y 2) (* x z))) (+ (/ 1 (* x z)) (/ (* y (- (* 1/6 (pow y 2)) 1)) x)))) |
(* z (+ (* -1/2 (/ (pow y 2) (* x z))) (+ (/ 1 (* x z)) (/ (* y (- (* 1/6 (pow y 2)) 1)) x)))) |
(* z (+ (* -1/2 (/ (pow y 2) (* x z))) (+ (/ 1 (* x z)) (/ (* y (- (* 1/6 (pow y 2)) 1)) x)))) |
(* -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) |
(* -1 z) |
(* -1 z) |
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(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x) |
(/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x) |
(/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x) |
(/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) 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 |
(* -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))) |
(* 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 |
(* -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 (/ (- 1 (* y z)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- 1 (* 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 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (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) |
(* -1 (/ (- (* -1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) 1) x)) |
(* -1 (/ (- (* -1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) 1) x)) |
(* -1 (/ (- (* -1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) 1) x)) |
(* -1 (/ (- (* -1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) 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))) |
| Outputs |
|---|
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* -1 (* x (* z (sin y)))) (* x (cos y))) |
(*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(+ (* -1 (* x (* z (sin y)))) (* x (cos y))) |
(*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(+ (* -1 (* x (* z (sin y)))) (* x (cos y))) |
(*.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)) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+.f64 (-.f64 x (*.f64 z y)) #s(literal 1 binary64)) |
(+ 1 (+ x (* -1 (* y z)))) |
(+.f64 (-.f64 x (*.f64 z y)) #s(literal 1 binary64)) |
(+ 1 (+ x (* -1 (* y z)))) |
(+.f64 (-.f64 x (*.f64 z y)) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* y z) 1) |
(fma.f64 z y #s(literal -1 binary64)) |
(- (* y z) 1) |
(fma.f64 z y #s(literal -1 binary64)) |
(- (* y z) 1) |
(fma.f64 z y #s(literal -1 binary64)) |
(+ 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)))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) |
(+.f64 (fma.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) z (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) |
(+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) |
(+.f64 (fma.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) z (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) |
(+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) |
(+.f64 (fma.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) z (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z (*.f64 #s(literal -1/2 binary64) y)) |
(+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z (*.f64 #s(literal -1/2 binary64) y)) |
(+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z (*.f64 #s(literal -1/2 binary64) y)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) 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)) |
(/ (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) |
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x)) |
(fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ (* -1/2 (/ (pow y 2) x)) (+ (/ 1 x) (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x))) |
(fma.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x)) z (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/2 (/ (pow y 2) x)) (+ (/ 1 x) (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x))) |
(fma.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x)) z (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+ (* -1/2 (/ (pow y 2) x)) (+ (/ 1 x) (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x))) |
(fma.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x)) z (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64) (/.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)) |
(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)) |
(* -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 (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 (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 (* x (* z (sin y)))) |
(*.f64 (neg.f64 x) (*.f64 (sin.f64 y) z)) |
(* z (+ (* -1 (* x (sin y))) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) z) x)) z) |
(* z (+ (* -1 (* x (sin y))) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) z) x)) z) |
(* z (+ (* -1 (* x (sin y))) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) z) x)) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(* z (+ (* -1 (sin y)) (/ (cos y) z))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) |
(* z (+ (* -1 (sin y)) (/ (cos y) z))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) |
(* z (+ (* -1 (sin y)) (/ (cos y) z))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (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 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* z (- (+ (/ 1 z) (/ x z)) y)) |
(fma.f64 (-.f64 (/.f64 x z) y) z #s(literal 1 binary64)) |
(* z (- (+ (/ 1 z) (/ x z)) y)) |
(fma.f64 (-.f64 (/.f64 x z) y) z #s(literal 1 binary64)) |
(* z (- (+ (/ 1 z) (/ x z)) y)) |
(fma.f64 (-.f64 (/.f64 x z) y) z #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* z (- y (/ 1 z))) |
(fma.f64 z y #s(literal -1 binary64)) |
(* z (- y (/ 1 z))) |
(fma.f64 z y #s(literal -1 binary64)) |
(* z (- y (/ 1 z))) |
(fma.f64 z y #s(literal -1 binary64)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) z) |
(* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z))))) |
(fma.f64 (+.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 y))) (/.f64 x z)) z #s(literal 1 binary64)) |
(* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z))))) |
(fma.f64 (+.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 y))) (/.f64 x z)) z #s(literal 1 binary64)) |
(* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z))))) |
(fma.f64 (+.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 y))) (/.f64 x z)) z #s(literal 1 binary64)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z) |
(* z (- (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) 1)) |
(*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) z) |
(* z (- (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) 1)) |
(*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) z) |
(* z (- (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) 1)) |
(*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) z) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) 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)))) |
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(fma.f64 x (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y) x) (+.f64 #s(literal 1 binary64) x)) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))) |
(fma.f64 x (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y) x) (+.f64 #s(literal 1 binary64) x)) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
x |
(* x (+ 1 (+ (* -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) |
(/ (+ (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) |
(/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y #s(literal 1 binary64)) x) |
(/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y #s(literal 1 binary64)) x) |
(/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y #s(literal 1 binary64)) x) |
(/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y #s(literal 1 binary64)) x) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
(* x (+ (cos y) (* -1 (* z (sin y))))) |
(*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(* x (+ (cos y) (* -1 (* z (sin y))))) |
(*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(* x (+ (cos y) (* -1 (* z (sin y))))) |
(*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(* x (+ (cos y) (* -1 (* z (sin y))))) |
(*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 z y #s(literal -1 binary64)) x) #s(literal -1 binary64) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 z y #s(literal -1 binary64)) x) #s(literal -1 binary64) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 z y #s(literal -1 binary64)) x) #s(literal -1 binary64) #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
(/ (+ (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) |
(* -1 (/ (- (* -1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) 1) x)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) 1) x)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) 1) x)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) 1) x)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x) #s(literal 1 binary64))) |
| 6 068× | lower-*.f32 |
| 6 060× | lower-*.f64 |
| 5 346× | lower-fma.f32 |
| 5 326× | lower-fma.f64 |
| 3 450× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 341 |
| 0 | 87 | 324 |
| 1 | 409 | 316 |
| 2 | 3082 | 312 |
| 0 | 9360 | 310 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) (pow.f64 x #s(literal -1 binary64)) x) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) (pow.f64 x #s(literal -1 binary64)) x)) |
(*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
(-.f64 x (fma.f64 z y #s(literal -1 binary64))) |
(fma.f64 z y #s(literal -1 binary64)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) x x)) |
(fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) x x) |
#s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(neg.f64 z) |
(sin.f64 y) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/6 binary64) y) |
(cos.f64 y) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))))) (fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) #s(literal -1 binary64) (*.f64 x (neg.f64 x))) (*.f64 x #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) (pow.f64 x #s(literal -1 binary64)) x) (*.f64 x (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) #s(literal 1 binary64) (*.f64 x x)) x) |
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) #s(literal -1 binary64) (*.f64 x x)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 x x)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 x (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))) #s(literal -1 binary64) (*.f64 x x)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 x (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))) (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))) #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) x) #s(literal -1 binary64) (*.f64 x (neg.f64 x))) (*.f64 x #s(literal -1 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) y)) x) x) (pow.f64 (*.f64 (/.f64 y x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z))) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 y x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z))) #s(literal 3 binary64))))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (/.f64 y x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) y) (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (/.f64 y x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)))) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 y x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)))) |
(fma.f64 (/.f64 y x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (pow.f64 x #s(literal -1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (pow.f64 x #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 y x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (/.f64 y x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)))) |
(fma.f64 y (*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z))) (pow.f64 x #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) y) #s(literal 1 binary64)) x)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) y) #s(literal 1 binary64)) x))) |
(+.f64 (*.f64 (/.f64 y x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z))) (pow.f64 x #s(literal -1 binary64))) |
(+.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 y x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
(*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (cos.f64 y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (cos.f64 y)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (cos.f64 y) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (cos.f64 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (cos.f64 y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (cos.f64 y)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) z (cos.f64 y)) |
(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) |
(fma.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)) (cos.f64 y)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) |
(-.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (cos.f64 y)))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y))) |
(+.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (cos.f64 y)) |
(*.f64 #s(literal -1 binary64) z) |
(*.f64 z #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) |
(neg.f64 z) |
(-.f64 #s(literal 0 binary64) z) |
(+.f64 #s(literal 0 binary64) (neg.f64 z)) |
(sin.f64 y) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal -1 binary64)) |
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) |
(*.f64 #s(literal 1/6 binary64) y) |
(*.f64 y #s(literal 1/6 binary64)) |
(cos.f64 y) |
Compiled 30 335 to 3 279 computations (89.2% saved)
40 alts after pruning (34 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 170 | 14 | 1 184 |
| Fresh | 7 | 20 | 27 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 179 | 40 | 1 219 |
| Status | Accuracy | Program |
|---|---|---|
| 88.4% | (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| 60.2% | (pow.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))) #s(literal 2 binary64)) | |
| 60.0% | (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))) #s(literal -1 binary64)))) | |
| 69.9% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)))) | |
| 43.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| 31.0% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) | |
| 52.5% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) | |
| 86.0% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 x (neg.f64 z)) (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 x #s(literal -1 binary64)) x)) | |
| 59.1% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x)) | |
| ✓ | 58.1% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
| 47.1% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64)))) | |
| ✓ | 52.2% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) x x)) |
| 63.2% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x x)) | |
| 60.3% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) x x)) | |
| 73.3% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) x (*.f64 x x)) x)) | |
| 71.5% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (/.f64 (fma.f64 x (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) x) (*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))))) | |
| 44.9% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y)) (pow.f64 (/.f64 (+.f64 x (cos.f64 y)) z) #s(literal 2 binary64))))) | |
| 45.2% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y)))) | |
| ✓ | 70.0% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x)) |
| 43.9% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.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)) | |
| 44.7% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.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)) | |
| 46.1% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))) x)) | |
| 78.4% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) z) (sin.f64 y)) z)) | |
| 58.0% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (-.f64 (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (sin.f64 y)) z)) | |
| 31.0% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (neg.f64 (sin.f64 y)) z)) | |
| 33.3% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 x z)) z)) | |
| 49.1% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) z)) | |
| 26.5% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64)))) | |
| 51.0% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y) z))) | |
| 47.4% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z) y))) | |
| 10.8% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 y) z))) | |
| 29.0% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (* (neg z) (sin y)) (cos y)) (cos.f64 y))) | |
| 53.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) | |
| ✓ | 53.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
| 45.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 #s(literal -1/2 binary64) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) | |
| 45.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 #s(approx (+ (* 1/6 (* y y)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) y (+.f64 #s(literal 1 binary64) x))) | |
| ✓ | 59.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| 52.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y #s(literal -1 binary64)) y) z (+.f64 #s(literal 1 binary64) x)))) | |
| 2.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) (*.f64 y y)))) | |
| ✓ | 18.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
Compiled 1 505 to 729 computations (51.6% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 y) z))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) (*.f64 y y)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z) y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 #s(approx (+ (* 1/6 (* y y)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.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))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 #s(literal -1/2 binary64) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 #s(literal -1/2 binary64) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y #s(literal -1 binary64)) y) z (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) -1/2) y) z) y) (+ 1 x)) (*.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)))) z))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (* (neg z) (sin y)) (cos y)) (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (neg.f64 (sin.f64 y)) z)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) z) (sin.f64 y)) z)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (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 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (-.f64 (/.f64 #s(approx (+ (cos y) x) (cos.f64 y)) z) (sin.f64 y)) z)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) x (*.f64 x x)) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) (pow.f64 x #s(literal -1 binary64)) x)) |
(pow.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 x (neg.f64 z)) (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 x #s(literal -1 binary64)) x)) |
(pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (/.f64 (fma.f64 x (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) x) (*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))))) |
(fma.f64 (pow.f64 (-.f64 x (cos.f64 y)) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(approx (/ (+ (* (neg z) (sin y)) (+ (cos y) x)) (+ (* (sin y) z) (+ (cos y) x))) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (fma.f64 (sin.f64 y) z (cos.f64 y))))) |
(*.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)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (+.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.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))) |
(*.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)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 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))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y)) (pow.f64 (/.f64 (+.f64 x (cos.f64 y)) z) #s(literal 2 binary64))))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
4 calls:
| 53.0ms | y |
| 47.0ms | x |
| 34.0ms | z |
| 28.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% 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 (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 y) z))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) (*.f64 y y)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z) y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 #s(approx (+ (* 1/6 (* y y)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.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))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 #s(literal -1/2 binary64) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 #s(literal -1/2 binary64) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y #s(literal -1 binary64)) y) z (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) -1/2) y) z) y) (+ 1 x)) (*.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)))) z))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (* (neg z) (sin y)) (cos y)) (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (neg.f64 (sin.f64 y)) z)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) z) (sin.f64 y)) z)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (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 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
4 calls:
| 47.0ms | z |
| 45.0ms | y |
| 30.0ms | x |
| 14.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% 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 (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 y) z))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) (*.f64 y y)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z) y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 #s(approx (+ (* 1/6 (* y y)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.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))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 #s(literal -1/2 binary64) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 #s(literal -1/2 binary64) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y #s(literal -1 binary64)) y) z (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) -1/2) y) z) y) (+ 1 x)) (*.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)))) z))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (* (neg z) (sin y)) (cos y)) (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (neg.f64 (sin.f64 y)) z)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) z) (sin.f64 y)) z)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (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 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.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))) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
4 calls:
| 33.0ms | x |
| 32.0ms | z |
| 20.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 14.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 3 | x |
| 91.8% | 3 | y |
| 99.3% | 3 | z |
| 98.8% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% 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 (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 y) z))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) (*.f64 y y)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z) y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 #s(approx (+ (* 1/6 (* y y)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.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))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 #s(literal -1/2 binary64) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 #s(literal -1/2 binary64) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y #s(literal -1 binary64)) y) z (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) -1/2) y) z) y) (+ 1 x)) (*.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)))) z))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (* (neg z) (sin y)) (cos y)) (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (neg.f64 (sin.f64 y)) z)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) z) (sin.f64 y)) z)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (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 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) |
| 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)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
2 calls:
| 21.0ms | x |
| 13.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 3 | z |
| 88.4% | 1 | x |
Compiled 2 to 6 computations (-200% 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 (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 y) z))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) (*.f64 y y)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z) y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 #s(approx (+ (* 1/6 (* y y)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.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))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 #s(literal -1/2 binary64) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 #s(literal -1/2 binary64) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y #s(literal -1 binary64)) y) z (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) -1/2) y) z) y) (+ 1 x)) (*.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)))) z))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (* (neg z) (sin y)) (cos y)) (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (neg.f64 (sin.f64 y)) z)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.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))) |
1 calls:
| 14.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 3 | z |
Compiled 1 to 3 computations (-200% 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 (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 y) z))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) (*.f64 y y)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z) y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 #s(approx (+ (* 1/6 (* y y)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.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))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 #s(literal -1/2 binary64) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 #s(literal -1/2 binary64) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y #s(literal -1 binary64)) y) z (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) -1/2) y) z) y) (+ 1 x)) (*.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)))) z))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (* (neg z) (sin y)) (cos y)) (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (neg.f64 (sin.f64 y)) z)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64)))) |
4 calls:
| 35.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 16.0ms | x |
| 12.0ms | z |
| 12.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.8% | 3 | x |
| 80.7% | 3 | y |
| 72.1% | 2 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 85.6% | 3 | z |
Compiled 12 to 17 computations (-41.7% 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 (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 y) z))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) (*.f64 y y)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z) y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 #s(approx (+ (* 1/6 (* y y)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.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))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 #s(literal -1/2 binary64) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 #s(literal -1/2 binary64) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y #s(literal -1 binary64)) y) z (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) -1/2) y) z) y) (+ 1 x)) (*.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)))) z))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (* (neg z) (sin y)) (cos y)) (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.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))) |
1 calls:
| 11.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.9% | 3 | z |
Compiled 1 to 3 computations (-200% 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 (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 y) z))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) (*.f64 y y)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z) y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 #s(approx (+ (* 1/6 (* y y)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.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))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 #s(literal -1/2 binary64) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 #s(literal -1/2 binary64) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y #s(literal -1 binary64)) y) z (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) -1/2) y) z) y) (+ 1 x)) (*.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)))) z))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (* (neg z) (sin y)) (cos y)) (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x)) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
3 calls:
| 37.0ms | z |
| 20.0ms | y |
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.5% | 3 | y |
| 70.0% | 1 | x |
| 76.2% | 3 | z |
Compiled 3 to 9 computations (-200% 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 (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 y) z))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) (*.f64 y y)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z) y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 #s(approx (+ (* 1/6 (* y y)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.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))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 #s(literal -1/2 binary64) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 #s(literal -1/2 binary64) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y #s(literal -1 binary64)) y) z (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) -1/2) y) z) y) (+ 1 x)) (*.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)))) z))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (* (neg z) (sin y)) (cos y)) (cos.f64 y))) |
| 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 (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #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)))) |
4 calls:
| 63.0ms | z |
| 10.0ms | x |
| 10.0ms | y |
| 10.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.4% | 3 | x |
| 73.2% | 4 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 65.3% | 3 | z |
| 69.5% | 4 | y |
Compiled 12 to 17 computations (-41.7% 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 (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 y) z))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) (*.f64 y y)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z) y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 #s(approx (+ (* 1/6 (* y y)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.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))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 #s(literal -1/2 binary64) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 #s(literal -1/2 binary64) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y #s(literal -1 binary64)) y) z (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)) (*.f64 y y))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) y (neg.f64 z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) -1/2) y) z) y) (+ 1 x)) (*.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)))) z))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
3 calls:
| 17.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 10.0ms | x |
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.7% | 3 | y |
| 64.6% | 2 | x |
| 63.0% | 2 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 11 to 14 computations (-27.3% 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 (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 y) z))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) (*.f64 y y)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z) y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 #s(approx (+ (* 1/6 (* y y)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.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)) |
| 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 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
1 calls:
| 58.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.6% | 3 | y |
Compiled 1 to 3 computations (-200% 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 (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 y) z))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* (* 1/6 z) y) -1/2) y) z) y) (+ 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal -1/2 binary64)) (*.f64 y y)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z) y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 #s(approx (+ (* 1/6 (* y y)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* (* 1/6 z) y) -1/2) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) z)) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.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)) |
1 calls:
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.5% | 3 | y |
Compiled 1 to 3 computations (-200% 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 (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 y) z))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 x z)) z)) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ 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:
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.5% | 3 | y |
Compiled 1 to 3 computations (-200% 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 (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 y) z))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y)))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
2 calls:
| 59.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.5% | 3 | x |
| 59.2% | 1 | y |
Compiled 2 to 6 computations (-200% 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 (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 y) z))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
3 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.2% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 59.2% | 1 | z |
| 59.2% | 1 | x |
Compiled 11 to 14 computations (-27.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
4 calls:
| 1.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 18.7% | 1 | x |
| 18.7% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 18.7% | 1 | y |
| 18.7% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 0.0006084512785216037 | 21827.463999524927 |
| 68.0ms | -1.430606610038125e-5 | -1.372674619062774e-14 |
| 73.0ms | 288× | 0 | valid |
Compiled 318 to 356 computations (-11.9% saved)
ival-sin: 56.0ms (84% of total)ival-cos: 6.0ms (9% of total)ival-mult: 2.0ms (3% of total)ival-sub: 1.0ms (1.5% of total)ival-add: 1.0ms (1.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 7.311462103465457e-22 | 4.586869435092715 |
| 61.0ms | -89983004985582.47 | -594485905226.1931 |
| 70.0ms | 288× | 0 | valid |
Compiled 264 to 320 computations (-21.2% saved)
ival-cos: 6.0ms (39.2% of total)ival-sin: 5.0ms (32.7% of total)ival-mult: 2.0ms (13.1% of total)ival-sub: 1.0ms (6.5% of total)ival-add: 1.0ms (6.5% 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 |
|---|---|---|
| 1.0ms | 7.311462103465457e-22 | 4.586869435092715 |
| 1.0ms | -89983004985582.47 | -594485905226.1931 |
Compiled 264 to 320 computations (-21.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 1.0387112279798198e+110 | 3.8167268998585727e+110 |
| 56.0ms | -19812110480528134000.0 | -1.777036162716125e+19 |
| 61.0ms | 112× | 0 | valid |
Compiled 103 to 133 computations (-29.1% saved)
ival-cos: 54.0ms (92.4% of total)ival-sin: 2.0ms (3.4% of total)ival-add: 1.0ms (1.7% of total)ival-mult: 1.0ms (1.7% of total)ival-sub: 0.0ms (0% 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 |
|---|---|---|
| 8.0ms | 1.0387112279798198e+110 | 3.8167268998585727e+110 |
| 0.0ms | -19812110480528134000.0 | -1.777036162716125e+19 |
| 5.0ms | 64× | 0 | valid |
Compiled 89 to 119 computations (-33.7% saved)
ival-cos: 1.0ms (26.3% of total)ival-sin: 1.0ms (26.3% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 25288.425443723245 | 34182366043.78238 |
| 65.0ms | -33176514432.37793 | -29644092.65767676 |
| 30.0ms | 272× | 0 | valid |
Compiled 352 to 371 computations (-5.4% saved)
ival-cos: 10.0ms (43.9% of total)ival-sin: 8.0ms (35.1% of total)ival-mult: 2.0ms (8.8% of total)ival-sub: 1.0ms (4.4% of total)ival-add: 1.0ms (4.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9855514834885379 | 0.9883727573817408 |
| 0.0ms | -8233658.890987872 | -0.9993974735653435 |
| 0.0ms | -5.125873882120153e+128 | -2.785526140916253e+109 |
Compiled 12 to 14 computations (-16.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 34182366043.78238 | 5413282421484172000.0 |
| 16.0ms | -33176514432.37793 | -29644092.65767676 |
| 27.0ms | 240× | 0 | valid |
Compiled 352 to 371 computations (-5.4% saved)
ival-cos: 8.0ms (37.7% of total)ival-sin: 8.0ms (37.7% of total)ival-mult: 3.0ms (14.1% of total)ival-sub: 1.0ms (4.7% of total)ival-add: 1.0ms (4.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 25288.425443723245 | 34182366043.78238 |
| 5.0ms | -33176514432.37793 | -29644092.65767676 |
| 15.0ms | 144× | 0 | valid |
Compiled 335 to 371 computations (-10.7% saved)
ival-cos: 4.0ms (35.8% of total)ival-sin: 4.0ms (35.8% of total)ival-sub: 1.0ms (9% of total)ival-add: 1.0ms (9% of total)ival-mult: 1.0ms (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 |
|---|---|---|
| 19.0ms | 34182366043.78238 | 5413282421484172000.0 |
| 14.0ms | -2.3822645453250418e+30 | -1.638456363525751e+29 |
| 20.0ms | 192× | 0 | valid |
Compiled 237 to 284 computations (-19.8% saved)
ival-cos: 6.0ms (39.8% of total)ival-sin: 6.0ms (39.8% of total)ival-sub: 1.0ms (6.6% of total)ival-add: 1.0ms (6.6% of total)ival-mult: 1.0ms (6.6% 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 |
|---|---|---|
| 18.0ms | 9.326878011867105e-7 | 10.2690561331201 |
| 24.0ms | -5.937368811335277e+59 | -3.172723611049775e+51 |
| 31.0ms | 288× | 0 | valid |
Compiled 210 to 284 computations (-35.2% saved)
ival-cos: 8.0ms (33.3% of total)ival-sin: 8.0ms (33.3% of total)ival-add: 5.0ms (20.8% of total)ival-mult: 2.0ms (8.3% of total)ival-sub: 1.0ms (4.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 0.0006084512785216037 | 21827.463999524927 |
| 13.0ms | -8233659.890987872 | -96055.52283534229 |
| 23.0ms | 240× | 0 | valid |
Compiled 188 to 270 computations (-43.6% saved)
ival-sin: 8.0ms (46.6% of total)ival-cos: 5.0ms (29.1% of total)ival-mult: 2.0ms (11.6% of total)ival-sub: 1.0ms (5.8% of total)ival-add: 1.0ms (5.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 26× | +-commutative-binary64-+.f64 |
| 22× | *-commutative-binary64-*.f64 |
| 20× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 10× | neg-sub0-binary64--.f64-neg.f64 |
| 10× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 144 | 771 |
| 1 | 170 | 771 |
| 2 | 188 | 771 |
| 3 | 196 | 771 |
| 4 | 200 | 771 |
| 5 | 201 | 771 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 x #s(literal -8897694032363671/38685626227668133590597632 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 x #s(literal 5718490662849961/9223372036854775808 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) |
(if (<=.f64 z #s(literal -600000000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 4728779608739021/2251799813685248 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) |
(if (<=.f64 z #s(literal -600000000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 4728779608739021/2251799813685248 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 -19500000000000000000 binary64)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64)))) (if (<=.f64 z #s(literal 131999999999999995101205127167060961007606930811687976173006496345965292936127319369652864052801272768517636096 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64)))))) |
(if (<=.f64 z #s(literal -19500000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 240000000000000012331607690653705407464330702593502005284630641788927506516383840268030889846689601284711907328 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 -30000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 25500 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -499999999999999999108721782092620707994464434379706250218271669864970200952952324748557883071134280004888587983375832688116105216 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -5000000 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 4440549232587309/4503599627370496 binary64)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #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 -220000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 450000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 y #s(literal -250000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 980000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) 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 -379999999999999970964410466304 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 4500000000000000 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 -44000000000000002083698310118480875207937423467916296192 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 7093169413108531/2251799813685248 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 x #s(literal -98000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 x #s(literal 4 binary64)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 x #s(literal -8897694032363671/38685626227668133590597632 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 x #s(literal 5718490662849961/9223372036854775808 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) |
(if (<=.f64 x #s(literal -8897694032363671/38685626227668133590597632 binary64)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 z (sin.f64 y))) (if (<=.f64 x #s(literal 5718490662849961/9223372036854775808 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) |
(if (<=.f64 z #s(literal -600000000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 4728779608739021/2251799813685248 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) |
(if (<=.f64 z #s(literal -600000000000 binary64)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 4728779608739021/2251799813685248 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) |
(if (<=.f64 z #s(literal -600000000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 4728779608739021/2251799813685248 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 -600000000000 binary64)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 4728779608739021/2251799813685248 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -19500000000000000000 binary64)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64)))) (if (<=.f64 z #s(literal 131999999999999995101205127167060961007606930811687976173006496345965292936127319369652864052801272768517636096 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64)))))) |
(if (<=.f64 z #s(literal -19500000000000000000 binary64)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64)))) (if (<=.f64 z #s(literal 131999999999999995101205127167060961007606930811687976173006496345965292936127319369652864052801272768517636096 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64)))))) |
(if (<=.f64 z #s(literal -19500000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 240000000000000012331607690653705407464330702593502005284630641788927506516383840268030889846689601284711907328 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 z #s(literal -19500000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 240000000000000012331607690653705407464330702593502005284630641788927506516383840268030889846689601284711907328 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))))) |
(if (<=.f64 y #s(literal -30000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 25500 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)))) |
(if (<=.f64 y #s(literal -30000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 25500 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -499999999999999999108721782092620707994464434379706250218271669864970200952952324748557883071134280004888587983375832688116105216 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -5000000 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 4440549232587309/4503599627370496 binary64)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #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 -220000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 450000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 y #s(literal -250000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 980000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) 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 -379999999999999970964410466304 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 4500000000000000 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 -44000000000000002083698310118480875207937423467916296192 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 7093169413108531/2251799813685248 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 x #s(literal -98000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 x #s(literal 4 binary64)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (- x (+ (* z y) -1)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
| 13 400× | lower-fma.f64 |
| 13 400× | lower-fma.f32 |
| 12 606× | lower-fma.f64 |
| 12 606× | lower-fma.f32 |
| 12 396× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 639 | 6924 |
| 1 | 2007 | 6599 |
| 2 | 6526 | 6460 |
| 0 | 8218 | 6148 |
| 0 | 118 | 674 |
| 1 | 334 | 669 |
| 2 | 869 | 661 |
| 3 | 2601 | 657 |
| 4 | 5308 | 657 |
| 5 | 7444 | 657 |
| 0 | 8081 | 629 |
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 47 | 21 |
| 2 | 388 | 21 |
| 3 | 5630 | 21 |
| 0 | 8225 | 21 |
| 0 | 310 | 5489 |
| 1 | 954 | 5161 |
| 2 | 2819 | 4895 |
| 3 | 7041 | 4885 |
| 0 | 8393 | 4606 |
| 0 | 34 | 201 |
| 0 | 58 | 233 |
| 1 | 257 | 179 |
| 2 | 2162 | 179 |
| 0 | 8218 | 179 |
| 0 | 387 | 6245 |
| 1 | 1214 | 5861 |
| 2 | 3746 | 5798 |
| 0 | 8484 | 5559 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 738 to 418 computations (43.4% saved)
Compiled 822 to 262 computations (68.1% saved)
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