
Time bar (total: 9.2s)
| 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)
| 881.0ms | 8 250× | 0 | valid |
| 2.0ms | 3× | 3 | valid |
| 0.0ms | 2× | 2 | valid |
| 0.0ms | 1× | 1 | valid |
ival-cos: 270.0ms (39.3% of total)ival-sin: 245.0ms (35.6% of total)ival-mult: 62.0ms (9% of total)ival-add: 61.0ms (8.9% of total)ival-sub: 39.0ms (5.7% of total)ival-true: 7.0ms (1% of total)ival-assert: 3.0ms (0.4% 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 |
| 87.0ms | 512× | 0 | valid |
Compiled 85 to 36 computations (57.6% saved)
ival-sin: 50.0ms (70.9% of total)ival-cos: 11.0ms (15.6% of total)ival-mult: 4.0ms (5.7% of total)ival-add: 3.0ms (4.3% of total)ival-sub: 2.0ms (2.8% 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 | (cos.f64 y) | |
| accuracy | 0.00390625 | (+.f64 x (cos.f64 y)) | |
| accuracy | 0.0078125 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.1171875 | (*.f64 z (sin.f64 y)) |
| 25.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-cos: 6.0ms (35.9% of total)ival-sin: 6.0ms (35.9% of total)ival-mult: 2.0ms (12% of total)ival-sub: 1.0ms (6% of total)ival-add: 1.0ms (6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (taylor inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (taylor inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (taylor inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* -1 (* y z)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* y (- (* -1/2 y) z)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* -1/2 (pow y 2)))) (taylor 0 y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) (taylor 0 y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) (taylor 0 y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (pow y 2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* -1/6 (* (pow y 2) z)))) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor -inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor -inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor -inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor -inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (- (cos y) (* z (sin y))) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor 0 x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | z | @ | -inf | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | x | @ | 0 | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | z | @ | inf | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | y | @ | 0 | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y))) |
| 1× | egg-herbie |
| 10 746× | lower-fma.f64 |
| 10 746× | lower-fma.f32 |
| 3 588× | lower-*.f64 |
| 3 588× | lower-*.f32 |
| 2 024× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 612 |
| 1 | 287 | 607 |
| 2 | 770 | 605 |
| 3 | 2083 | 601 |
| 4 | 4366 | 601 |
| 5 | 6335 | 601 |
| 0 | 8451 | 579 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
| Outputs |
|---|
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (+ x (* -1 (* y z)))) |
(-.f64 x (fma.f64 z y #s(literal -1 binary64))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64)) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 (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 5 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(- (cos y) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(cos y) |
(cos.f64 y) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
x |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
| 4 620× | lower-*.f32 |
| 4 618× | lower-*.f64 |
| 4 548× | lower-fma.f64 |
| 4 548× | lower-fma.f32 |
| 2 418× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 47 | 19 |
| 2 | 388 | 19 |
| 3 | 5630 | 19 |
| 0 | 8225 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 x (cos.f64 y)) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)))) |
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(-.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)) |
Compiled 6 790 to 635 computations (90.6% saved)
16 alts after pruning (15 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 264 | 15 | 279 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 264 | 16 | 280 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 65.9% | (/.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)) |
| 47.6% | (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))))) | |
| 48.1% | (/.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)))) | |
| ▶ | 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))) |
| 65.8% | (/.f64 #s(literal 1 binary64) (/.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))))) | |
| ✓ | 99.9% | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 49.1% | (-.f64 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (fma.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)))) | |
| ▶ | 87.0% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 66.6% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| 39.4% | (*.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)))) | |
| ▶ | 48.2% | #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))) |
| 48.4% | #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))) | |
| 54.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) | |
| 62.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) | |
| ▶ | 50.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| 39.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
Compiled 617 to 386 computations (37.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) | |
| cost-diff | 128 | (-.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) | |
| cost-diff | 20864 | (/.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)) | |
| 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 | (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))) |
| 16 654× | lower-fma.f32 |
| 16 646× | lower-fma.f64 |
| 3 050× | lower-*.f32 |
| 3 042× | lower-*.f64 |
| 2 654× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 247 |
| 0 | 64 | 241 |
| 1 | 111 | 229 |
| 2 | 198 | 229 |
| 3 | 540 | 229 |
| 4 | 1651 | 229 |
| 5 | 4738 | 229 |
| 0 | 8345 | 228 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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) |
#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 (-.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 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) |
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(cos.f64 y) |
#s(literal 2 binary64) |
(*.f64 x x) |
x |
(-.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
| Outputs |
|---|
(/.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 (sin.f64 y) (neg.f64 z) (+.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 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) |
(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) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (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 y z) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 x #s(literal 1 binary64)))) |
(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 y z) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 x #s(literal 1 binary64))) |
(-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) |
(fma.f64 (fma.f64 (*.f64 y z) #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 y z) #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 y z) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
#s(literal -1/2 binary64) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
#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)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
y |
(/.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)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) |
(-.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) |
(fma.f64 (neg.f64 x) x (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 2 binary64))) |
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 2 binary64)) |
(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) |
#s(literal 2 binary64) |
(*.f64 x x) |
x |
(-.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(-.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.08984375 | (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) | |
| accuracy | 0.2109375 | (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) | |
| accuracy | 1.4960896216604118 | (-.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) | |
| accuracy | 21.759034687962895 | (/.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)) | |
| accuracy | 0.00390625 | (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) | |
| accuracy | 0.0078125 | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.1171875 | (*.f64 z (sin.f64 y)) | |
| accuracy | 31.027092684881143 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 0.03515625 | (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 | 0.0546875 | (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) | |
| accuracy | 0.1796875 | (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) | |
| accuracy | 33.158570111164984 | #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 | 31.881613788388712 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.00390625 | (+.f64 (cos.f64 y) x) | |
| accuracy | 0.078125 | (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) | |
| accuracy | 0.1328125 | (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) | |
| accuracy | 0.22265625 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
| 330.0ms | 256× | 0 | valid |
Compiled 237 to 35 computations (85.2% saved)
ival-div: 182.0ms (71.5% of total)ival-add: 28.0ms (11% of total)ival-mult: 11.0ms (4.3% of total)ival-sin: 7.0ms (2.7% of total)ival-sub: 6.0ms (2.4% of total)ival-cos: 6.0ms (2.4% of total)const: 4.0ms (1.6% of total)ival-neg: 4.0ms (1.6% of total)ival-pow: 4.0ms (1.6% of total)ival-pow2: 3.0ms (1.2% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#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 #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 (-.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)) (patch (/.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)) #<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 (-.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (patch (-.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 (cos.f64 y) x) (patch (+.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 (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>) () ()) |
| Outputs |
|---|
#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 (+ 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 (/ (- (pow (cos y) 2) (pow x 2)) (- (cos y) x)) (taylor 0 z) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* z (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x))) (taylor 0 z) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* z (- (+ (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* z (- (/ (pow (sin y) 2) (- (cos y) x)) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x))) (taylor 0 z) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* z (- (+ (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* z (- (+ (/ (* z (* (sin y) (- (/ (pow (sin y) 2) (- (cos y) x)) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (- (cos y) x)) (/ (pow (sin y) 2) (- (cos y) x))) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x))) (taylor 0 z) (#s(alt (/.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)) (patch (/.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)) #<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 (- (+ (cos y) (* -1 (* z (sin 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) (* -1 (* z (sin 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) (* -1 (* z (sin 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 (- (pow (cos y) 2) (pow x 2)) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (patch (-.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x 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 (/.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)) (patch (/.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)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) (taylor -inf x) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) (taylor -inf x) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#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 (* x (+ 1 (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x))))) (taylor -inf x) (#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 (* x (+ 1 (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x))))) (taylor -inf x) (#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 (* x (+ 1 (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x))))) (taylor -inf x) (#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 (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (patch (-.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2)) 1)) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (patch (-.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2)) 1)) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (patch (-.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2)) 1)) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (patch (-.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x 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>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | y | @ | -inf | ((/ 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) (- (+ 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)) (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (- (+ (* (neg z) (sin y)) (cos y)) x) (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (pow (+ (* (neg z) (sin y)) (cos y)) 2) (+ (cos y) x) (+ (* 1/6 (* z y)) -1/2) (+ (* (neg z) (sin y)) (cos y))) |
| 6.0ms | y | @ | inf | ((/ 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) (- (+ 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)) (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (- (+ (* (neg z) (sin y)) (cos y)) x) (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (pow (+ (* (neg z) (sin y)) (cos y)) 2) (+ (cos y) x) (+ (* 1/6 (* z y)) -1/2) (+ (* (neg z) (sin y)) (cos y))) |
| 6.0ms | z | @ | 0 | ((/ 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) (- (+ 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)) (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (- (+ (* (neg z) (sin y)) (cos y)) x) (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (pow (+ (* (neg z) (sin y)) (cos y)) 2) (+ (cos y) x) (+ (* 1/6 (* z y)) -1/2) (+ (* (neg z) (sin y)) (cos y))) |
| 5.0ms | z | @ | inf | ((/ 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) (- (+ 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)) (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (- (+ (* (neg z) (sin y)) (cos y)) x) (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (pow (+ (* (neg z) (sin y)) (cos y)) 2) (+ (cos y) x) (+ (* 1/6 (* z y)) -1/2) (+ (* (neg z) (sin y)) (cos y))) |
| 3.0ms | x | @ | 0 | ((/ 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) (- (+ 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)) (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (- (+ (* (neg z) (sin y)) (cos y)) x) (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (pow (+ (* (neg z) (sin y)) (cos y)) 2) (+ (cos y) x) (+ (* 1/6 (* z y)) -1/2) (+ (* (neg z) (sin y)) (cos y))) |
| 1× | egg-herbie |
| 7 434× | lower-fma.f64 |
| 7 434× | lower-fma.f32 |
| 4 944× | lower-*.f64 |
| 4 944× | lower-*.f32 |
| 3 870× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 653 | 7469 |
| 1 | 2064 | 7222 |
| 2 | 6735 | 7136 |
| 0 | 8199 | 6834 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(/ 1 (+ x (cos y))) |
(+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))) |
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ 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)) |
(/ (- (pow (cos y) 2) (pow x 2)) (- (cos y) x)) |
(- (+ (* z (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x))) |
(- (+ (* z (- (+ (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* z (- (/ (pow (sin y) 2) (- (cos y) x)) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x))) |
(- (+ (* z (- (+ (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* z (- (+ (/ (* z (* (sin y) (- (/ (pow (sin y) 2) (- (cos y) x)) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (- (cos y) x)) (/ (pow (sin y) 2) (- (cos y) x))) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x))) |
(- (cos y) x) |
(- (+ (cos y) (* -1 (* z (sin y)))) x) |
(- (+ (cos y) (* -1 (* z (sin y)))) x) |
(- (+ (cos y) (* -1 (* z (sin y)))) x) |
(- (pow (cos y) 2) (pow x 2)) |
(- (+ (* -2 (* z (* (cos y) (sin y)))) (pow (cos y) 2)) (pow x 2)) |
(- (+ (* z (+ (* -2 (* (cos y) (sin y))) (* z (pow (sin y) 2)))) (pow (cos y) 2)) (pow x 2)) |
(- (+ (* z (+ (* -2 (* (cos y) (sin y))) (* z (pow (sin y) 2)))) (pow (cos y) 2)) (pow x 2)) |
(pow (cos y) 2) |
(+ (* -2 (* z (* (cos y) (sin y)))) (pow (cos y) 2)) |
(+ (* z (+ (* -2 (* (cos y) (sin y))) (* z (pow (sin y) 2)))) (pow (cos y) 2)) |
(+ (* z (+ (* -2 (* (cos y) (sin y))) (* z (pow (sin y) 2)))) (pow (cos y) 2)) |
-1/2 |
(- (* 1/6 (* y z)) 1/2) |
(- (* 1/6 (* y z)) 1/2) |
(- (* 1/6 (* y z)) 1/2) |
(cos y) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(/ -1 (* z (sin y))) |
(/ (- (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z) |
(/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z) |
(/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (+ (/ (cos y) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y))))))) z) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* 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)) (+ (* 2 (/ (cos y) z)) (/ x z))) (/ (cos y) z))) |
(* z (- (+ (* -1 (sin y)) (+ (* -1 (/ (- (pow (cos y) 2) (pow x 2)) (* (pow z 2) (sin y)))) (+ (* 2 (/ (cos y) z)) (/ x z)))) (+ (* -1 (/ (* (- (cos y) x) (- (+ x (* 2 (cos y))) (cos y))) (* (pow z 2) (sin y)))) (/ (cos y) z)))) |
(* z (- (+ (* -1 (sin y)) (+ (* -1 (/ (- (pow (cos y) 2) (pow x 2)) (* (pow z 2) (sin y)))) (+ (* 2 (/ (cos y) z)) (+ (/ x z) (/ (* (- (cos y) x) (- (* -1 (/ (- (pow (cos y) 2) (pow x 2)) (sin y))) (* -1 (/ (* (- (cos y) x) (- (+ x (* 2 (cos y))) (cos y))) (sin y))))) (* (pow z 3) (sin y))))))) (+ (* -1 (/ (* (- (cos y) x) (- (+ x (* 2 (cos y))) (cos y))) (* (pow z 2) (sin y)))) (/ (cos y) z)))) |
(* -1 (* z (sin y))) |
(* z (- (+ (* -1 (sin y)) (/ (cos y) z)) (/ x z))) |
(* z (- (+ (* -1 (sin y)) (/ (cos y) z)) (/ x z))) |
(* z (- (+ (* -1 (sin y)) (/ (cos y) z)) (/ x z))) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (+ (* -2 (/ (* (cos y) (sin y)) z)) (pow (sin y) 2))) |
(* (pow z 2) (- (+ (* -2 (/ (* (cos y) (sin y)) z)) (+ (/ (pow (cos y) 2) (pow z 2)) (pow (sin y) 2))) (/ (pow x 2) (pow z 2)))) |
(* (pow z 2) (- (+ (* -2 (/ (* (cos y) (sin y)) z)) (+ (/ (pow (cos y) 2) (pow z 2)) (pow (sin y) 2))) (/ (pow x 2) (pow z 2)))) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (+ (* -2 (/ (* (cos y) (sin y)) z)) (pow (sin y) 2))) |
(* (pow z 2) (+ (* -2 (/ (* (cos y) (sin y)) z)) (+ (/ (pow (cos y) 2) (pow z 2)) (pow (sin y) 2)))) |
(* (pow z 2) (+ (* -2 (/ (* (cos y) (sin y)) z)) (+ (/ (pow (cos y) 2) (pow z 2)) (pow (sin y) 2)))) |
(* 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))) |
(* 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))) |
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(+ x (cos y)) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x))) x) |
(/ (- (+ 1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2))) (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) x) |
(/ (- (+ 1 (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) (pow x 3)))) (+ (* -1 (/ (* z (sin y)) x)) (+ (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2))) (/ (cos y) x)))) x) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (- (+ 1 (/ (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) |
(* x (- (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) 1)) |
(* x (- (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) 1)) |
(* x (- (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) 1)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2)) 1)) |
(* (pow x 2) (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2)) 1)) |
(* (pow x 2) (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2)) 1)) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(/ 1 x) |
(* -1 (/ (- (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) x) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) x) (pow (+ (cos y) (* -1 (* z (sin y)))) 2)) x)) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x)) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* -1 (* x (- (* -1 (/ (- (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 (* x (+ 1 (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x))))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2)) 1)) |
(* (pow x 2) (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2)) 1)) |
(* (pow x 2) (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2)) 1)) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
| Outputs |
|---|
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(/ 1 (+ x (cos y))) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)) |
(+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2))) |
(fma.f64 (sin.f64 y) (/.f64 z (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))) |
(fma.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 z (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64))) (/.f64 (sin.f64 y) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))) |
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y)))) |
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 z (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)))) z (/.f64 (sin.f64 y) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ 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) |
(+ 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) |
(/ (- (pow (cos y) 2) (pow x 2)) (- (cos y) x)) |
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (cos.f64 y) x)) |
(- (+ (* z (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (-.f64 (cos.f64 y) x) #s(literal 2 binary64))) (sin.f64 y) (*.f64 (*.f64 (sin.f64 y) (cos.f64 y)) (/.f64 #s(literal -2 binary64) (-.f64 (cos.f64 y) x)))) z (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (cos.f64 y) x))) |
(- (+ (* z (- (+ (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* z (- (/ (pow (sin y) 2) (- (cos y) x)) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (-.f64 (cos.f64 y) x) #s(literal 2 binary64))) (sin.f64 y) (fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (-.f64 (cos.f64 y) x) #s(literal 2 binary64))) (sin.f64 y) (*.f64 (*.f64 (sin.f64 y) (cos.f64 y)) (/.f64 #s(literal -2 binary64) (-.f64 (cos.f64 y) x)))) (/.f64 (sin.f64 y) (-.f64 (cos.f64 y) x)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 (cos.f64 y) x))) z (*.f64 (*.f64 (sin.f64 y) (cos.f64 y)) (/.f64 #s(literal -2 binary64) (-.f64 (cos.f64 y) x))))) z (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (cos.f64 y) x))) |
(- (+ (* z (- (+ (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* z (- (+ (/ (* z (* (sin y) (- (/ (pow (sin y) 2) (- (cos y) x)) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (- (cos y) x)) (/ (pow (sin y) 2) (- (cos y) x))) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (-.f64 (cos.f64 y) x) #s(literal 2 binary64))) (sin.f64 y) (*.f64 (*.f64 (sin.f64 y) (cos.f64 y)) (/.f64 #s(literal -2 binary64) (-.f64 (cos.f64 y) x)))) (/.f64 (sin.f64 y) (-.f64 (cos.f64 y) x)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 (cos.f64 y) x))) (/.f64 (sin.f64 y) (-.f64 (cos.f64 y) x))) z (fma.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (-.f64 (cos.f64 y) x) #s(literal 2 binary64))) (sin.f64 y) (*.f64 (*.f64 (sin.f64 y) (cos.f64 y)) (/.f64 #s(literal -2 binary64) (-.f64 (cos.f64 y) x)))) (/.f64 (sin.f64 y) (-.f64 (cos.f64 y) x)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 (cos.f64 y) x)))) z (fma.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (-.f64 (cos.f64 y) x) #s(literal 2 binary64))) (sin.f64 y) (*.f64 (*.f64 (sin.f64 y) (cos.f64 y)) (/.f64 #s(literal -2 binary64) (-.f64 (cos.f64 y) x))))) z (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (cos.f64 y) x))) |
(- (cos y) x) |
(-.f64 (cos.f64 y) x) |
(- (+ (cos y) (* -1 (* z (sin y)))) x) |
(-.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x)) |
(- (+ (cos y) (* -1 (* z (sin y)))) x) |
(-.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x)) |
(- (+ (cos y) (* -1 (* z (sin y)))) x) |
(-.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x)) |
(- (pow (cos y) 2) (pow x 2)) |
(fma.f64 (neg.f64 x) x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(- (+ (* -2 (* z (* (cos y) (sin y)))) (pow (cos y) 2)) (pow x 2)) |
(fma.f64 (*.f64 z (*.f64 #s(literal -2 binary64) (cos.f64 y))) (sin.f64 y) (fma.f64 (neg.f64 x) x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(- (+ (* z (+ (* -2 (* (cos y) (sin y))) (* z (pow (sin y) 2)))) (pow (cos y) 2)) (pow x 2)) |
(fma.f64 (neg.f64 x) x (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 y)) (cos.f64 y) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(- (+ (* z (+ (* -2 (* (cos y) (sin y))) (* z (pow (sin y) 2)))) (pow (cos y) 2)) (pow x 2)) |
(fma.f64 (neg.f64 x) x (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 y)) (cos.f64 y) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(+ (* -2 (* z (* (cos y) (sin y)))) (pow (cos y) 2)) |
(fma.f64 (*.f64 z (*.f64 #s(literal -2 binary64) (cos.f64 y))) (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(+ (* z (+ (* -2 (* (cos y) (sin y))) (* z (pow (sin y) 2)))) (pow (cos y) 2)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 y)) (cos.f64 y) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(+ (* z (+ (* -2 (* (cos y) (sin y))) (* z (pow (sin y) 2)))) (pow (cos y) 2)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 y)) (cos.f64 y) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/6 (* y z)) 1/2) |
(fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
(- (* 1/6 (* y z)) 1/2) |
(fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
(- (* 1/6 (* y z)) 1/2) |
(fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
(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)))) |
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(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
x |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))) |
(+.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y (neg.f64 z)) y) x) x #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))) |
(+.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y (neg.f64 z)) y) x) x #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))) |
(+.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y (neg.f64 z)) y) x) x #s(literal 1 binary64)) x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
x |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) 1)) |
(*.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) |
(* x (- (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) 1)) |
(*.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) |
(* x (- (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) 1)) |
(*.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2)) 1)) |
(*.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2)) 1)) |
(*.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2)) 1)) |
(*.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) |
x |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) x) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.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))) |
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) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2)) 1)) |
(*.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2)) 1)) |
(*.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2)) 1)) |
(*.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x))) |
| 4 346× | lower-*.f32 |
| 4 338× | lower-*.f64 |
| 3 876× | lower-/.f32 |
| 3 872× | lower-/.f64 |
| 3 830× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 205 |
| 0 | 64 | 193 |
| 1 | 284 | 187 |
| 2 | 2313 | 187 |
| 0 | 8570 | 187 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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) |
#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 (-.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 (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)) |
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) |
(+.f64 (cos.f64 y) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (-.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (-.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #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 (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.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 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 x (cos.f64 y)) (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (cos.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 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 (-.f64 x (cos.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 x #s(literal 1 binary64) (cos.f64 y)) |
(fma.f64 #s(literal 1 binary64) 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 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 x (cos.f64 y)))) |
(+.f64 x (cos.f64 y)) |
(+.f64 (cos.f64 y) x) |
(*.f64 (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal -1/8 binary64)) (pow.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 y z) #s(literal -1/12 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) #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))) #s(literal -1 binary64)) |
(pow.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 y z) #s(literal -1/12 binary64)))) (fma.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal -1/8 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))))) |
(/.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 y z) #s(literal 1/6 binary64) #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 y z) #s(literal -1/12 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64)))) |
(/.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 y z) #s(literal 1/6 binary64) #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 y z) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 y z) #s(literal -1/12 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 y z) #s(literal -1/12 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 y z) #s(literal 1/6 binary64) #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 y z) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 y z) #s(literal -1/12 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 y z) #s(literal -1/12 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) #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 y z) #s(literal -1/12 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 y z) #s(literal 1/6 binary64) #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 y z) #s(literal -1/12 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 #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 y z) #s(literal 1/6 binary64) #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 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y z) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (cos.f64 y)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (cos.f64 y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #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 (sin.f64 y) (neg.f64 z))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (cos.f64 y)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #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 (sin.f64 y) (neg.f64 z))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (neg.f64 (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) (cos.f64 y) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (*.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (cos.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (cos.f64 y))) (*.f64 (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (pow.f64 (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (cos.f64 y)) #s(literal 2 binary64))) |
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (exp.f64 (log.f64 (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (cos.f64 y))))) |
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (cos.f64 y) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (*.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (cos.f64 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (cos.f64 y)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #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 (sin.f64 y) (neg.f64 z))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (cos.f64 y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #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 (sin.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (cos.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (cos.f64 y)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (cos.f64 y)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #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 (sin.f64 y) (neg.f64 z))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #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 (sin.f64 y) z) (cos.f64 y)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (cos.f64 y)))) |
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))) |
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (cos.f64 y)) |
(+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
Compiled 50 471 to 3 906 computations (92.3% saved)
26 alts after pruning (23 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 711 | 21 | 1 732 |
| Fresh | 8 | 2 | 10 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 722 | 26 | 1 748 |
| Status | Accuracy | Program |
|---|---|---|
| 60.5% | (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) | |
| ▶ | 60.5% | (pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))) #s(literal 2 binary64)) |
| 17.1% | (/.f64 #s(approx (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (cos.f64 y)) (/.f64 (sin.f64 y) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z))) (-.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) | |
| 19.6% | (/.f64 #s(approx (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) | |
| 65.7% | (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) | |
| 36.2% | (/.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))) | |
| 33.9% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| 39.4% | (/.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)))) | |
| ✓ | 99.9% | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ✓ | 87.0% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 48.0% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) | |
| 66.6% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| 65.9% | (*.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (-.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) | |
| ▶ | 88.5% | #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) |
| 39.4% | #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 62.7% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x)) | |
| 27.8% | #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 #s(approx (+ 1 x) #s(literal 1 binary64)))) | |
| ▶ | 48.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) z) y (+.f64 #s(literal 1 binary64) x))) |
| ▶ | 48.6% | #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))) |
| 37.3% | #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))) | |
| 37.7% | #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))) | |
| 38.1% | #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))) | |
| 34.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) | |
| 54.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) | |
| ✓ | 50.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| ▶ | 18.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
Compiled 692 to 567 computations (18.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))) | |
| cost-diff | 7104 | (pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (fma.f64 (-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) z) y (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) z) y (+.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 320 | (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) | |
| cost-diff | 704 | (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z) | |
| 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 | #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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) | |
| cost-diff | 896 | (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
| 24 000× | lower-fma.f32 |
| 23 986× | lower-fma.f64 |
| 4 412× | lower-*.f32 |
| 4 404× | lower-*.f64 |
| 3 272× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 401 |
| 0 | 83 | 404 |
| 1 | 149 | 404 |
| 2 | 263 | 394 |
| 3 | 588 | 372 |
| 4 | 1543 | 362 |
| 5 | 6244 | 362 |
| 0 | 8473 | 349 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(cos.f64 y) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (+ 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (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 (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) z) y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) z) y (+.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) z) |
#s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) |
(*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z) |
(fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(/.f64 y z) |
y |
z |
#s(literal -1/2 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
#s(literal 1/6 binary64) |
(*.f64 y y) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))) #s(literal 2 binary64)) |
(sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) |
(sin.f64 y) |
y |
(neg.f64 z) |
z |
(+.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (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 #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 (*.f64 y y) #s(literal 1/6 binary64) #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)) |
(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 #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)) |
#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) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y)) z) y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) z) y (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 (-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y)) z) y (+.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) z) |
(-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y)) z) |
#s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) |
#s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y)) |
(*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z) |
(*.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y) |
(fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y) |
(/.f64 y z) |
y |
z |
#s(literal -1/2 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 y y) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))) #s(literal 2 binary64)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
(sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))) |
(sqrt.f64 (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))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
(sin.f64 y) |
y |
(neg.f64 z) |
z |
(+.f64 x (cos.f64 y)) |
(+.f64 (cos.f64 y) x) |
x |
(cos.f64 y) |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.046875 | (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) | |
| accuracy | 0.046875 | (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))) | |
| accuracy | 0.2421875 | (pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))) #s(literal 2 binary64)) | |
| accuracy | 0.09375 | (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) | |
| accuracy | 1.6054604933208234 | (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) | |
| accuracy | 5.953595245592518 | (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z) | |
| accuracy | 19.12984946313115 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) z) y (+.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.05078125 | (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) | |
| accuracy | 2.8508433605219263 | (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z) | |
| accuracy | 9.61395484639697 | #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 | 19.12984946313115 | #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 | 13.91901695222798 | #s(approx (+ 1 x) #s(literal 1 binary64)) | |
| accuracy | 17.80937803053085 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) | |
| accuracy | 0 | #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) | |
| accuracy | 0.0546875 | (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) | |
| accuracy | 0.09765625 | (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) | |
| accuracy | 4.96290699112334 | (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
| 87.0ms | 156× | 0 | valid |
| 47.0ms | 100× | 0 | invalid |
Compiled 284 to 46 computations (83.8% saved)
ival-mult: 55.0ms (50.8% of total)ival-add: 11.0ms (10.2% of total)ival-div: 10.0ms (9.2% of total)ival-sin: 7.0ms (6.5% of total)ival-pow2: 7.0ms (6.5% of total)ival-cos: 6.0ms (5.5% of total)ival-sub: 5.0ms (4.6% of total)const: 4.0ms (3.7% of total)ival-sqrt: 2.0ms (1.8% of total)exact: 1.0ms (0.9% of total)ival-neg: 1.0ms (0.9% 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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) (patch #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (patch (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1 x) #s(literal 1 binary64)) (patch #s(approx (+ 1 x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (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 (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z) (patch (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (patch (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) z) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) z) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) z) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) z) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))) #s(literal 2 binary64)) (patch (pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))) (patch (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #<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) (*.f64 y y)) (patch (*.f64 #s(literal 1/6 binary64) (*.f64 y 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 (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 (/ (- (pow (cos y) 2) (pow x 2)) (- (cos y) x)) (taylor 0 z) (#s(alt #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) (patch #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* z (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x))) (taylor 0 z) (#s(alt #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) (patch #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* z (- (+ (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* z (- (/ (pow (sin y) 2) (- (cos y) x)) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x))) (taylor 0 z) (#s(alt #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) (patch #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* z (- (+ (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* z (- (+ (/ (* z (* (sin y) (- (/ (pow (sin y) 2) (- (cos y) x)) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (- (cos y) x)) (/ (pow (sin y) 2) (- (cos y) x))) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x))) (taylor 0 z) (#s(alt #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) (patch #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos y) x) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (patch (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (patch (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (patch (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (patch (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos y) (* -1 (* z (sin y)))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos y) (* -1 (* z (sin y)))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos y) (* -1 (* z (sin y)))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (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 (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#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 (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#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 (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#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>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1))) (taylor -inf x) (#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 x (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) z) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) z) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
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#s(alt x (taylor -inf x) (#s(alt (pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))) #s(literal 2 binary64)) (patch (pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ (cos y) (* -1 (* z (sin y)))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))) (patch (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))) #<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 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | y | @ | -inf | ((+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (neg z) (sin y)) (cos y)) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 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) (* (+ (* (/ y z) -1/2) (* 1/6 (* y y))) z) (+ (* (/ y z) -1/2) (* 1/6 (* y y))) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) -1/2) y) z) y) (+ 1 x)) (pow (sqrt (+ (* (sin y) (neg z)) (+ x (cos y)))) 2) (sqrt (+ (* (sin y) (neg z)) (+ x (cos y)))) (+ (* (sin y) (neg z)) (+ x (cos y))) (sin y) (+ (* 1/6 (* y y)) -1) (* 1/6 (* y y)) (cos y)) |
| 5.0ms | z | @ | -inf | ((+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (neg z) (sin y)) (cos y)) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 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) (* (+ (* (/ y z) -1/2) (* 1/6 (* y y))) z) (+ (* (/ y z) -1/2) (* 1/6 (* y y))) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) -1/2) y) z) y) (+ 1 x)) (pow (sqrt (+ (* (sin y) (neg z)) (+ x (cos y)))) 2) (sqrt (+ (* (sin y) (neg z)) (+ x (cos y)))) (+ (* (sin y) (neg z)) (+ x (cos y))) (sin y) (+ (* 1/6 (* y y)) -1) (* 1/6 (* y y)) (cos y)) |
| 4.0ms | x | @ | inf | ((+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (neg z) (sin y)) (cos y)) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 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) (* (+ (* (/ y z) -1/2) (* 1/6 (* y y))) z) (+ (* (/ y z) -1/2) (* 1/6 (* y y))) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) -1/2) y) z) y) (+ 1 x)) (pow (sqrt (+ (* (sin y) (neg z)) (+ x (cos y)))) 2) (sqrt (+ (* (sin y) (neg z)) (+ x (cos y)))) (+ (* (sin y) (neg z)) (+ x (cos y))) (sin y) (+ (* 1/6 (* y y)) -1) (* 1/6 (* y y)) (cos y)) |
| 4.0ms | z | @ | inf | ((+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (neg z) (sin y)) (cos y)) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 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) (* (+ (* (/ y z) -1/2) (* 1/6 (* y y))) z) (+ (* (/ y z) -1/2) (* 1/6 (* y y))) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) -1/2) y) z) y) (+ 1 x)) (pow (sqrt (+ (* (sin y) (neg z)) (+ x (cos y)))) 2) (sqrt (+ (* (sin y) (neg z)) (+ x (cos y)))) (+ (* (sin y) (neg z)) (+ x (cos y))) (sin y) (+ (* 1/6 (* y y)) -1) (* 1/6 (* y y)) (cos y)) |
| 3.0ms | x | @ | -inf | ((+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (neg z) (sin y)) (cos y)) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 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) (* (+ (* (/ y z) -1/2) (* 1/6 (* y y))) z) (+ (* (/ y z) -1/2) (* 1/6 (* y y))) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) -1/2) y) z) y) (+ 1 x)) (pow (sqrt (+ (* (sin y) (neg z)) (+ x (cos y)))) 2) (sqrt (+ (* (sin y) (neg z)) (+ x (cos y)))) (+ (* (sin y) (neg z)) (+ x (cos y))) (sin y) (+ (* 1/6 (* y y)) -1) (* 1/6 (* y y)) (cos y)) |
| 1× | egg-herbie |
| 9 454× | lower-fma.f64 |
| 9 454× | lower-fma.f32 |
| 6 798× | lower-*.f64 |
| 6 798× | lower-*.f32 |
| 3 336× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 633 | 7796 |
| 1 | 1935 | 7411 |
| 2 | 6341 | 7357 |
| 0 | 8089 | 7042 |
| 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))))) |
(/ (- (pow (cos y) 2) (pow x 2)) (- (cos y) x)) |
(- (+ (* z (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x))) |
(- (+ (* z (- (+ (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* z (- (/ (pow (sin y) 2) (- (cos y) x)) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x))) |
(- (+ (* z (- (+ (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* z (- (+ (/ (* z (* (sin y) (- (/ (pow (sin y) 2) (- (cos y) x)) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (- (cos y) x)) (/ (pow (sin y) 2) (- (cos y) x))) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x))) |
(/ (cos y) x) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(cos y) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ 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)) |
(* -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))) |
(* -1/2 (/ y z)) |
(/ (+ (* -1/2 y) (* 1/6 (* (pow y 2) z))) z) |
(/ (+ (* -1/2 y) (* 1/6 (* (pow y 2) z))) z) |
(/ (+ (* -1/2 y) (* 1/6 (* (pow y 2) z))) z) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (+ (* -1/2 (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))))) |
(sqrt (+ x (cos y))) |
(+ (sqrt (+ x (cos y))) (* -1/2 (* (* z (sin y)) (sqrt (/ 1 (+ x (cos y))))))) |
(+ (sqrt (+ x (cos y))) (* z (+ (* -1/2 (* (sin y) (sqrt (/ 1 (+ x (cos y)))))) (* -1/8 (* (* z (pow (sin y) 2)) (sqrt (/ 1 (pow (+ x (cos y)) 3)))))))) |
(+ (sqrt (+ x (cos y))) (* z (+ (* -1/2 (* (sin y) (sqrt (/ 1 (+ x (cos y)))))) (* z (+ (* -1/8 (* (pow (sin y) 2) (sqrt (/ 1 (pow (+ x (cos y)) 3))))) (* -1/16 (* (* z (pow (sin y) 3)) (sqrt (/ 1 (pow (+ x (cos y)) 5)))))))))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* -1 (* z (sin y))) |
(* z (- (+ (* -1 (sin y)) (+ (* 2 (/ (cos y) z)) (/ x z))) (/ (cos y) z))) |
(* z (- (+ (* -1 (sin y)) (+ (* -1 (/ (- (pow (cos y) 2) (pow x 2)) (* (pow z 2) (sin y)))) (+ (* 2 (/ (cos y) z)) (/ x z)))) (+ (* -1 (/ (* (- (cos y) x) (- (+ x (* 2 (cos y))) (cos y))) (* (pow z 2) (sin y)))) (/ (cos y) z)))) |
(* z (- (+ (* -1 (sin y)) (+ (* -1 (/ (- (pow (cos y) 2) (pow x 2)) (* (pow z 2) (sin y)))) (+ (* 2 (/ (cos y) z)) (+ (/ x z) (/ (* (- (cos y) x) (- (* -1 (/ (- (pow (cos y) 2) (pow x 2)) (sin y))) (* -1 (/ (* (- (cos y) x) (- (+ x (* 2 (cos y))) (cos y))) (sin y))))) (* (pow z 3) (sin y))))))) (+ (* -1 (/ (* (- (cos y) x) (- (+ x (* 2 (cos y))) (cos y))) (* (pow z 2) (sin y)))) (/ (cos y) z)))) |
(* -1 (/ (* z (sin y)) x)) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z)))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z)))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z)))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (/ (cos y) z))) |
(* z (+ (* -1 (sin y)) (/ (cos y) z))) |
(* z (+ (* -1 (sin y)) (/ (cos y) z))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* 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)) |
(* 1/6 (* (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)))) |
(* 1/6 (pow y 2)) |
(+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) |
(+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) |
(+ (* -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))) |
(* 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 (+ (* -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)))) |
(* (sqrt (* z (sin y))) (sqrt -1)) |
(* z (+ (* 1/2 (* (sqrt (/ 1 (* (pow z 3) (sin y)))) (/ (+ x (cos y)) (sqrt -1)))) (* (sqrt (/ (sin y) z)) (sqrt -1)))) |
(* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow z 5) (pow (sin y) 3)))) (/ (pow (+ x (cos y)) 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow z 3) (sin y)))) (/ (+ x (cos y)) (sqrt -1)))) (* (sqrt (/ (sin y) z)) (sqrt -1))))) |
(* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow z 5) (pow (sin y) 3)))) (/ (pow (+ x (cos y)) 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow z 7) (pow (sin y) 5)))) (/ (pow (+ x (cos y)) 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow z 3) (sin y)))) (/ (+ x (cos y)) (sqrt -1)))) (* (sqrt (/ (sin y) z)) (sqrt -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))) |
(* -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 (* 2 (cos y))) (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (- (+ x (+ (* -1 (/ (- (/ (pow (cos y) 2) (sin y)) (+ (/ (* (- (cos y) x) (- (+ x (* 2 (cos y))) (cos y))) (sin y)) (/ (pow x 2) (sin y)))) z)) (* 2 (cos y)))) (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (- (+ x (+ (* -1 (/ (- (+ (/ (* (- (cos y) x) (- (/ (pow (cos y) 2) (sin y)) (+ (/ (* (- (cos y) x) (- (+ x (* 2 (cos y))) (cos y))) (sin y)) (/ (pow x 2) (sin y))))) (* z (sin y))) (/ (pow (cos y) 2) (sin y))) (+ (/ (* (- (cos y) x) (- (+ x (* 2 (cos y))) (cos y))) (sin y)) (/ (pow x 2) (sin y)))) z)) (* 2 (cos y)))) (cos y)) z))))) |
(* -1 (/ (* z (sin y)) x)) |
(* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x)))) |
(* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x)))) |
(* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x)))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (cos y) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (cos y) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (cos y) z))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* 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)))))) |
(* 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)) |
(* 1/6 (* (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))))) |
(* 1/6 (pow y 2)) |
(+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) |
(+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) |
(+ (* -1/2 (/ y z)) (* 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 (* 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 (+ (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 (* (sqrt (* z (sin y))) (sqrt -1))) |
(* -1 (* z (+ (* 1/2 (* (sqrt (/ 1 (* (pow z 3) (sin y)))) (* (sqrt -1) (+ x (cos y))))) (* (sqrt (/ (sin y) z)) (sqrt -1))))) |
(* -1 (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow z 5) (pow (sin y) 3)))) (* (sqrt -1) (pow (+ x (cos y)) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow z 3) (sin y)))) (* (sqrt -1) (+ x (cos y))))) (* (sqrt (/ (sin y) z)) (sqrt -1)))))) |
(* -1 (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow z 5) (pow (sin y) 3)))) (* (sqrt -1) (pow (+ x (cos y)) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow z 7) (pow (sin y) 5)))) (* (sqrt -1) (pow (+ x (cos y)) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow z 3) (sin y)))) (* (sqrt -1) (+ x (cos y))))) (* (sqrt (/ (sin y) z)) (sqrt -1))))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(/ (- 1 (pow x 2)) (- 1 x)) |
(- (+ (* y (- (* -2 (/ z (- 1 x))) (* -1 (/ (* z (- 1 (pow x 2))) (pow (- 1 x) 2))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x))) |
(- (+ (* y (- (+ (* -2 (/ z (- 1 x))) (* y (- (/ (pow z 2) (- 1 x)) (+ (* -1 (/ (* z (- (* -2 (/ z (- 1 x))) (* -1 (/ (* z (- 1 (pow x 2))) (pow (- 1 x) 2))))) (- 1 x))) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))))))) (* -1 (/ (* z (- 1 (pow x 2))) (pow (- 1 x) 2))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x))) |
(- (+ (* y (- (+ (* -2 (/ z (- 1 x))) (* y (- (+ (* y (- (+ (* 1/3 (/ z (- 1 x))) (/ z (- 1 x))) (+ (* -1 (/ (* z (- (/ (pow z 2) (- 1 x)) (+ (* -1 (/ (* z (- (* -2 (/ z (- 1 x))) (* -1 (/ (* z (- 1 (pow x 2))) (pow (- 1 x) 2))))) (- 1 x))) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x)))))) (- 1 x))) (+ (* -1/2 (/ (- (* -2 (/ z (- 1 x))) (* -1 (/ (* z (- 1 (pow x 2))) (pow (- 1 x) 2)))) (- 1 x))) (* 1/6 (/ (* z (- 1 (pow x 2))) (pow (- 1 x) 2))))))) (/ (pow z 2) (- 1 x))) (+ (* -1 (/ (* z (- (* -2 (/ z (- 1 x))) (* -1 (/ (* z (- 1 (pow x 2))) (pow (- 1 x) 2))))) (- 1 x))) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))))))) (* -1 (/ (* z (- 1 (pow x 2))) (pow (- 1 x) 2))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x))) |
(/ 1 x) |
(+ (* -1 (/ (* y z) x)) (/ 1 x)) |
(+ (* y (+ (* -1 (/ z x)) (* -1/2 (/ y x)))) (/ 1 x)) |
(+ (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) (* 1/2 (/ 1 x)))))) (/ 1 x)) |
1 |
(+ 1 (* -1 (* y z))) |
(+ 1 (* y (+ (* -1 z) (* -1/2 y)))) |
(+ 1 (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* 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 z) |
(+ (* -1 z) (* 1/6 (* (pow y 2) z))) |
(+ (* -1 z) (* 1/6 (* (pow y 2) z))) |
(+ (* -1 z) (* 1/6 (* (pow y 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)) |
(* -1/2 (/ y z)) |
(* y (- (* 1/6 y) (* 1/2 (/ 1 z)))) |
(* y (- (* 1/6 y) (* 1/2 (/ 1 z)))) |
(* y (- (* 1/6 y) (* 1/2 (/ 1 z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* 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)))))) |
(sqrt (+ 1 x)) |
(+ (sqrt (+ 1 x)) (* -1/2 (* (* y z) (sqrt (/ 1 (+ 1 x)))))) |
(+ (sqrt (+ 1 x)) (* y (+ (* -1/2 (* z (sqrt (/ 1 (+ 1 x))))) (* -1/2 (* (* y (+ 1/2 (* 1/4 (/ (pow z 2) (+ 1 x))))) (sqrt (/ 1 (+ 1 x)))))))) |
(+ (sqrt (+ 1 x)) (* y (+ (* -1/2 (* z (sqrt (/ 1 (+ 1 x))))) (* y (+ (* -1/2 (* (+ 1/2 (* 1/4 (/ (pow z 2) (+ 1 x)))) (sqrt (/ 1 (+ 1 x))))) (* 1/2 (* (* y (- (* 1/6 z) (* 1/2 (/ (* z (+ 1/2 (* 1/4 (/ (pow z 2) (+ 1 x))))) (+ 1 x))))) (sqrt (/ 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)))))) |
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 |
(- (* 1/6 (pow y 2)) 1) |
(- (* 1/6 (pow y 2)) 1) |
(- (* 1/6 (pow y 2)) 1) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 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))))) |
(/ (- (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2)) (- (+ (cos y) (* -1 (* z (sin y)))) x)) |
(/ (- (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2)) (- (+ (cos y) (* -1 (* z (sin y)))) x)) |
(/ (- (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2)) (- (+ (cos y) (* -1 (* z (sin y)))) x)) |
(/ (- (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2)) (- (+ (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)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(* 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 (/ z (pow y 2))) (* 1/6 z))) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 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)))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (- 1/6 (* 1/2 (/ 1 (* y z))))) |
(* (pow y 2) (- 1/6 (* 1/2 (/ 1 (* y z))))) |
(* (pow y 2) (- 1/6 (* 1/2 (/ 1 (* y z))))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(* 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) (* -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))))) |
(sqrt (+ x (+ (cos y) (* -1 (* z (sin y)))))) |
(sqrt (+ x (+ (cos y) (* -1 (* z (sin y)))))) |
(sqrt (+ x (+ (cos y) (* -1 (* z (sin y)))))) |
(sqrt (+ 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))))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(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))))) |
(/ (- (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2)) (- (+ (cos y) (* -1 (* z (sin y)))) x)) |
(/ (- (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2)) (- (+ (cos y) (* -1 (* z (sin y)))) x)) |
(/ (- (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2)) (- (+ (cos y) (* -1 (* z (sin y)))) x)) |
(/ (- (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2)) (- (+ (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)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(* 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 (/ z (pow y 2))) (* 1/6 z))) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 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)))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (- 1/6 (* 1/2 (/ 1 (* y z))))) |
(* (pow y 2) (- 1/6 (* 1/2 (/ 1 (* y z))))) |
(* (pow y 2) (- 1/6 (* 1/2 (/ 1 (* y z))))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(* 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) (* -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))))) |
(sqrt (+ x (+ (cos y) (* -1 (* z (sin y)))))) |
(sqrt (+ x (+ (cos y) (* -1 (* z (sin y)))))) |
(sqrt (+ x (+ (cos y) (* -1 (* z (sin y)))))) |
(sqrt (+ 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))))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(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) (* -1 (* z (sin y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ 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))) |
(+ 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) (* -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))))) |
(sqrt (+ (cos y) (* -1 (* z (sin y))))) |
(+ (sqrt (+ (cos y) (* -1 (* z (sin y))))) (* 1/2 (* x (sqrt (/ 1 (+ (cos y) (* -1 (* z (sin y))))))))) |
(+ (sqrt (+ (cos y) (* -1 (* z (sin y))))) (* x (+ (* -1/8 (* x (sqrt (/ 1 (pow (+ (cos y) (* -1 (* z (sin y)))) 3))))) (* 1/2 (sqrt (/ 1 (+ (cos y) (* -1 (* z (sin y)))))))))) |
(+ (sqrt (+ (cos y) (* -1 (* z (sin y))))) (* x (+ (* 1/2 (sqrt (/ 1 (+ (cos y) (* -1 (* z (sin y))))))) (* x (+ (* -1/8 (sqrt (/ 1 (pow (+ (cos y) (* -1 (* z (sin y)))) 3)))) (* 1/16 (* x (sqrt (/ 1 (pow (+ (cos y) (* -1 (* z (sin y)))) 5)))))))))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (+ (/ 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 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 (+ (* -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)))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ (cos y) (* -1 (* z (sin y)))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (+ (cos y) (* -1 (* z (sin y)))) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ (cos y) (* -1 (* z (sin y))))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (+ (cos y) (* -1 (* z (sin y)))) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (+ (cos y) (* -1 (* z (sin y)))) 3))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ (cos y) (* -1 (* z (sin y)))))))))) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ 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 (/ (+ 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))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ (cos y) (* -1 (* z (sin y)))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ (cos y) (* -1 (* z (sin y)))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ (cos y) (* -1 (* z (sin y)))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 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))) |
| 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)) |
(/ (- (pow (cos y) 2) (pow x 2)) (- (cos y) x)) |
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (cos.f64 y) x)) |
(- (+ (* z (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (cos.f64 y)) (/.f64 (sin.f64 y) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (sin.f64 y)) (pow.f64 (-.f64 (cos.f64 y) x) #s(literal 2 binary64)))) z (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (cos.f64 y) x))) |
(- (+ (* z (- (+ (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* z (- (/ (pow (sin y) 2) (- (cos y) x)) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x))) |
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(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (+ (cos y) (* -1 (* z (sin y)))) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (+ (cos y) (* -1 (* z (sin y)))) 3))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ (cos y) (* -1 (* z (sin y)))))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 |
(* -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) (* -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))) |
(/ (+ (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))) |
(*.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 (/ (+ 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) (* -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 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ (cos y) (* -1 (* z (sin y)))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ (cos y) (* -1 (* z (sin y)))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ (cos y) (* -1 (* z (sin y)))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 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))) |
| 4 178× | lower-*.f32 |
| 4 170× | lower-*.f64 |
| 4 082× | lower-fma.f32 |
| 4 068× | lower-fma.f64 |
| 3 706× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 308 |
| 0 | 83 | 309 |
| 1 | 353 | 291 |
| 2 | 2746 | 289 |
| 0 | 8470 | 282 |
| 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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (+ 1 x) #s(literal 1 binary64)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (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) |
(*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z) |
(fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) z) y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) z) y (+.f64 #s(literal 1 binary64) x)) |
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))) #s(literal 2 binary64)) |
(sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) |
(sin.f64 y) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(cos.f64 y) |
| 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)) |
(pow.f64 (/.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))))) (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)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.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)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.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))))) (neg.f64 (neg.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)))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x))) (*.f64 (fma.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x)) (fma.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 x (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64)))) |
(/.f64 (neg.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))) (neg.f64 (fma.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x)))) |
(/.f64 (neg.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)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64)) x))))) |
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(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 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) y) y) |
(*.f64 (*.f64 y y) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(*.f64 y (*.f64 #s(literal 1/6 binary64) y)) |
(cos.f64 y) |
Compiled 36 962 to 3 449 computations (90.7% saved)
32 alts after pruning (27 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 284 | 14 | 1 298 |
| Fresh | 5 | 13 | 18 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 292 | 32 | 1 324 |
| Status | Accuracy | Program |
|---|---|---|
| 60.5% | (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) | |
| 22.2% | (pow.f64 (sqrt.f64 #s(approx (+ (* (sin y) (neg z)) (+ x (cos y))) (*.f64 (neg.f64 z) (sin.f64 y)))) #s(literal 2 binary64)) | |
| 19.6% | (/.f64 #s(approx (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) | |
| 33.9% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| 39.4% | (/.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)))) | |
| ✓ | 99.9% | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ✓ | 87.0% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 48.0% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) | |
| ▶ | 66.6% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 65.9% | (*.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (-.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) | |
| 62.7% | #s(approx (pow (sqrt (+ (* (sin y) (neg z)) (+ x (cos y)))) 2) (+.f64 (cos.f64 y) x)) | |
| 39.4% | #s(approx (pow (sqrt (+ (* (sin y) (neg z)) (+ x (cos y)))) 2) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 77.5% | #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (cos.f64 y)))) x x)) | |
| 62.6% | #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (cos.f64 y)) x) x x)) | |
| 50.1% | #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x)) | |
| 88.4% | #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))) x x)) | |
| 88.4% | #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (pow.f64 x #s(literal -1 binary64))) x x)) | |
| ▶ | 92.0% | #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) (pow.f64 x #s(literal -1 binary64)) x)) |
| ▶ | 39.9% | #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) 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) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x)) |
| 40.6% | #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x)) | |
| 59.5% | #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x x)) | |
| ▶ | 27.8% | #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 #s(approx (+ 1 x) #s(literal 1 binary64)))) |
| 48.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 #s(approx (+ (* (/ y z) -1/2) (* 1/6 (* y y))) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) z) y (+.f64 #s(literal 1 binary64) x))) | |
| ✓ | 48.6% | #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))) |
| 37.3% | #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))) | |
| 37.7% | #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))) | |
| 37.7% | #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))) | |
| 38.1% | #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))) | |
| 34.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) | |
| ▶ | 54.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
| ✓ | 50.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | 18.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
Compiled 794 to 664 computations (16.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (sin.f64 y)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | #s(approx (+ x (cos y)) (cos.f64 y)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| cost-diff | 0 | #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.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) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x) | |
| cost-diff | 0 | #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) 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) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x)) | |
| cost-diff | 704 | (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) | |
| 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 #s(approx (+ 1 x) #s(literal 1 binary64))) | |
| 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 #s(approx (+ 1 x) #s(literal 1 binary64)))) | |
| 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 (- (+ x (cos y)) (* z (sin y))) (-.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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (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) |
| 17 330× | lower-fma.f32 |
| 17 312× | lower-fma.f64 |
| 4 184× | lower-*.f32 |
| 4 174× | lower-*.f64 |
| 2 184× | lower-+.f64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 422 |
| 0 | 89 | 415 |
| 1 | 167 | 415 |
| 2 | 326 | 405 |
| 3 | 887 | 377 |
| 4 | 2675 | 367 |
| 0 | 8308 | 367 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (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 (- (+ x (cos y)) (* z (sin y))) (-.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 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))) |
(-.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) |
#s(approx (+ 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) 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) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.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) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.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) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) |
(*.f64 #s(literal 1/6 binary64) y) |
#s(literal 1/6 binary64) |
y |
(/.f64 z x) |
z |
x |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(/.f64 (neg.f64 z) x) |
(neg.f64 z) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
#s(approx (+ x (cos y)) (cos.f64 y)) |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
| Outputs |
|---|
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))) |
(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 (cos.f64 y) x)) |
(*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) |
(*.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) |
x |
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(sin.f64 y) |
y |
(neg.f64 z) |
z |
(cos.f64 y) |
(pow.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (-.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 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))) |
(-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) |
(fma.f64 (fma.f64 (*.f64 y z) #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 y z) #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 y z) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
#s(literal -1/2 binary64) |
#s(approx (+ 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) 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) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x)) |
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (/.f64 y x) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (/.f64 (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) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x) |
(fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (/.f64 y x) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (/.f64 (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) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (/.f64 y x) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (/.f64 (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) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (fma.f64 (/.f64 y x) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (/.f64 (neg.f64 z) x)) y (pow.f64 x #s(literal -1 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) |
(fma.f64 (/.f64 y x) (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (/.f64 (neg.f64 z) x)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1/6 binary64) x) (*.f64 y z) (/.f64 #s(literal -1/2 binary64) x)) |
(*.f64 #s(literal 1/6 binary64) y) |
#s(literal 1/6 binary64) |
y |
(/.f64 z x) |
z |
x |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(/.f64 (neg.f64 z) x) |
(neg.f64 z) |
(/.f64 #s(literal 1 binary64) x) |
(pow.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) z #s(approx (+ x (cos y)) (cos.f64 y))) |
#s(approx (+ x (cos y)) (cos.f64 y)) |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.0078125 | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.1171875 | (*.f64 z (sin.f64 y)) | |
| accuracy | 27.69020780129054 | #s(approx (+ x (cos y)) (cos.f64 y)) | |
| accuracy | 3.753041791143099 | (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) | |
| accuracy | 6.812477294132264 | (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) | |
| accuracy | 7.379251435321516 | (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x) | |
| accuracy | 31.685899357695256 | #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.0546875 | (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) | |
| accuracy | 0.1796875 | (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) | |
| accuracy | 27.55277016823318 | #s(approx (+ 1 x) #s(literal 1 binary64)) | |
| accuracy | 33.158570111164984 | #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 #s(approx (+ 1 x) #s(literal 1 binary64)))) | |
| accuracy | 0 | (fma.f64 z y #s(literal -1 binary64)) | |
| accuracy | 0 | (-.f64 x (fma.f64 z y #s(literal -1 binary64))) | |
| accuracy | 28.901333686220042 | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) | |
| accuracy | 0.00390625 | (pow.f64 x #s(literal -1 binary64)) | |
| accuracy | 0.08984375 | (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) | |
| accuracy | 0.12109375 | (*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) | |
| accuracy | 5.143357414038161 | (fma.f64 (*.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) (pow.f64 x #s(literal -1 binary64)) x) |
| 121.0ms | 256× | 0 | valid |
Compiled 312 to 52 computations (83.3% saved)
ival-mult: 31.0ms (32.4% of total)ival-add: 17.0ms (17.7% of total)ival-div: 14.0ms (14.6% of total)ival-sin: 7.0ms (7.3% of total)ival-sub: 6.0ms (6.3% of total)ival-cos: 6.0ms (6.3% of total)ival-pow: 6.0ms (6.3% of total)const: 4.0ms (4.2% of total)ival-pow2: 2.0ms (2.1% of total)exact: 1.0ms (1% of total)ival-neg: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (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 (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (-.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 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) (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 #s(approx (+ 1 x) #s(literal 1 binary64)))) #<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 #s(approx (+ 1 x) #s(literal 1 binary64))) (patch (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))) #<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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) (patch (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) 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) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x)) (patch #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) 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) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.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) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.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) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.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) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.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) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 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 #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 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) #<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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#s(alt (/ (- (pow (cos y) 2) (pow x 2)) (- (cos y) x)) (taylor 0 z) (#s(alt #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (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 (- (+ (* z (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x))) (taylor 0 z) (#s(alt #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (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 (- (+ (* z (- (+ (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* z (- (/ (pow (sin y) 2) (- (cos y) x)) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x))) (taylor 0 z) (#s(alt #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (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 (- (+ (* z (- (+ (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* z (- (+ (/ (* z (* (sin y) (- (/ (pow (sin y) 2) (- (cos y) x)) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (- (cos y) x)) (/ (pow (sin y) 2) (- (cos y) x))) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x))) (taylor 0 z) (#s(alt #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (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)) (taylor 0 z) (#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 (+ (* -1 (* x (* z (sin y)))) (* x (cos y))) (taylor 0 z) (#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>) () ())) ()) |
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#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) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.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) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.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) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.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) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.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) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.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) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.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) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.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) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ 1 x) #s(literal 1 binary64)) (patch #s(approx (+ 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ 1 x) #s(literal 1 binary64)) (patch #s(approx (+ 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ 1 x) #s(literal 1 binary64)) (patch #s(approx (+ 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ 1 x) #s(literal 1 binary64)) (patch #s(approx (+ 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1/2 (* -1/6 (* y z))) x)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1/2 (* -1/6 (* y z))) x)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1/2 (* -1/6 (* y z))) x)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1/2 (* -1/6 (* y z))) x)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | z | @ | -inf | ((+ (* (* x (+ (* (sin y) (neg z)) (cos y))) (pow x -1)) x) (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (* x (+ (* (sin y) (neg z)) (cos y))) (+ (* (sin y) (neg z)) (cos y)) (- (+ x (cos y)) (* z (sin y))) (- 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 (* z y)) -1/2) y) (+ (* (+ (* (* 1/6 y) (/ z x)) (/ -1/2 x)) y) (/ (neg z) x)) (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ (+ (* (neg z) (sin y)) (cos y)) x) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (pow x -1) (+ 1 x) (+ (* 1/6 (* z y)) -1/2) (+ (* (* 1/6 y) (/ z x)) (/ -1/2 x))) |
| 5.0ms | x | @ | -inf | ((+ (* (* x (+ (* (sin y) (neg z)) (cos y))) (pow x -1)) x) (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (* x (+ (* (sin y) (neg z)) (cos y))) (+ (* (sin y) (neg z)) (cos y)) (- (+ x (cos y)) (* z (sin y))) (- 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 (* z y)) -1/2) y) (+ (* (+ (* (* 1/6 y) (/ z x)) (/ -1/2 x)) y) (/ (neg z) x)) (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ (+ (* (neg z) (sin y)) (cos y)) x) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (pow x -1) (+ 1 x) (+ (* 1/6 (* z y)) -1/2) (+ (* (* 1/6 y) (/ z x)) (/ -1/2 x))) |
| 4.0ms | x | @ | inf | ((+ (* (* x (+ (* (sin y) (neg z)) (cos y))) (pow x -1)) x) (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (* x (+ (* (sin y) (neg z)) (cos y))) (+ (* (sin y) (neg z)) (cos y)) (- (+ x (cos y)) (* z (sin y))) (- 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 (* z y)) -1/2) y) (+ (* (+ (* (* 1/6 y) (/ z x)) (/ -1/2 x)) y) (/ (neg z) x)) (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ (+ (* (neg z) (sin y)) (cos y)) x) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (pow x -1) (+ 1 x) (+ (* 1/6 (* z y)) -1/2) (+ (* (* 1/6 y) (/ z x)) (/ -1/2 x))) |
| 4.0ms | x | @ | 0 | ((+ (* (* x (+ (* (sin y) (neg z)) (cos y))) (pow x -1)) x) (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (* x (+ (* (sin y) (neg z)) (cos y))) (+ (* (sin y) (neg z)) (cos y)) (- (+ x (cos y)) (* z (sin y))) (- 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 (* z y)) -1/2) y) (+ (* (+ (* (* 1/6 y) (/ z x)) (/ -1/2 x)) y) (/ (neg z) x)) (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ (+ (* (neg z) (sin y)) (cos y)) x) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (pow x -1) (+ 1 x) (+ (* 1/6 (* z y)) -1/2) (+ (* (* 1/6 y) (/ z x)) (/ -1/2 x))) |
| 3.0ms | z | @ | 0 | ((+ (* (* x (+ (* (sin y) (neg z)) (cos y))) (pow x -1)) x) (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (* x (+ (* (sin y) (neg z)) (cos y))) (+ (* (sin y) (neg z)) (cos y)) (- (+ x (cos y)) (* z (sin y))) (- 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 (* z y)) -1/2) y) (+ (* (+ (* (* 1/6 y) (/ z x)) (/ -1/2 x)) y) (/ (neg z) x)) (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ (+ (* (neg z) (sin y)) (cos y)) x) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (pow x -1) (+ 1 x) (+ (* 1/6 (* z y)) -1/2) (+ (* (* 1/6 y) (/ z x)) (/ -1/2 x))) |
| 1× | egg-herbie |
| 8 116× | lower-fma.f64 |
| 8 116× | lower-fma.f32 |
| 5 902× | lower-*.f64 |
| 5 902× | lower-*.f32 |
| 2 882× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 573 | 8595 |
| 1 | 1831 | 8110 |
| 2 | 5792 | 8059 |
| 0 | 8686 | 7685 |
| 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))))) |
(/ (- (pow (cos y) 2) (pow x 2)) (- (cos y) x)) |
(- (+ (* z (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x))) |
(- (+ (* z (- (+ (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* z (- (/ (pow (sin y) 2) (- (cos y) x)) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x))) |
(- (+ (* z (- (+ (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* z (- (+ (/ (* z (* (sin y) (- (/ (pow (sin y) 2) (- (cos y) x)) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (- (cos y) x)) (/ (pow (sin y) 2) (- (cos y) x))) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x))) |
(* 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))) |
(* -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))) |
(* -1/2 (/ y x)) |
(+ (* -1/2 (/ y x)) (* z (- (* 1/6 (/ (pow y 2) x)) (/ 1 x)))) |
(+ (* -1/2 (/ y x)) (* z (- (* 1/6 (/ (pow y 2) x)) (/ 1 x)))) |
(+ (* -1/2 (/ y x)) (* z (- (* 1/6 (/ (pow y 2) x)) (/ 1 x)))) |
(/ (- (pow (cos y) 2) (pow x 2)) (- (cos y) x)) |
(- (+ (* z (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x))) |
(- (+ (* z (- (+ (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* z (- (/ (pow (sin y) 2) (- (cos y) x)) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x))) |
(- (+ (* z (- (+ (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* z (- (+ (/ (* z (* (sin y) (- (/ (pow (sin y) 2) (- (cos y) x)) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (- (cos y) x)) (/ (pow (sin y) 2) (- (cos y) x))) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(/ (cos y) x) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
-1/2 |
(- (* 1/6 (* y z)) 1/2) |
(- (* 1/6 (* y z)) 1/2) |
(- (* 1/6 (* y z)) 1/2) |
(/ -1/2 x) |
(- (* 1/6 (/ (* y z) x)) (* 1/2 (/ 1 x))) |
(- (* 1/6 (/ (* y z) x)) (* 1/2 (/ 1 x))) |
(- (* 1/6 (/ (* y z) x)) (* 1/2 (/ 1 x))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
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(- (+ 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)) |
(* 1/6 (* y z)) |
(* y (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* y (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* y (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* 1/6 (/ (* y z) x)) |
(* y (- (* 1/6 (/ z x)) (* 1/2 (/ 1 (* x y))))) |
(* y (- (* 1/6 (/ z x)) (* 1/2 (/ 1 (* x y))))) |
(* y (- (* 1/6 (/ z x)) (* 1/2 (/ 1 (* x 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))))) |
(/ (- (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2)) (- (+ (cos y) (* -1 (* z (sin y)))) x)) |
(/ (- (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2)) (- (+ (cos y) (* -1 (* z (sin y)))) x)) |
(/ (- (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2)) (- (+ (cos y) (* -1 (* z (sin y)))) x)) |
(/ (- (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2)) (- (+ (cos y) (* -1 (* z (sin y)))) x)) |
(* x (+ (cos y) (* -1 (* z (sin y))))) |
(* x (+ (cos y) (* -1 (* z (sin y))))) |
(* x (+ (cos y) (* -1 (* z (sin y))))) |
(* x (+ (cos y) (* -1 (* z (sin y))))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(* -1 (* y z)) |
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z)))) |
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z)))) |
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z)))) |
(* y z) |
(* -1 (* y (+ (* -1 z) (/ 1 y)))) |
(* -1 (* y (+ (* -1 z) (/ 1 y)))) |
(* -1 (* y (+ (* -1 z) (/ 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))) |
(* 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)))) |
(* 1/6 (/ (* (pow y 2) z) x)) |
(* (pow y 2) (- (* 1/6 (/ z x)) (* 1/2 (/ 1 (* x y))))) |
(* (pow y 2) (+ (* -1 (/ (+ (* 1/2 (/ 1 x)) (/ z (* x y))) y)) (* 1/6 (/ z x)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* 1/2 (/ 1 x)) (/ z (* x y))) y)) (* 1/6 (/ z x)))) |
(/ (- (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2)) (- (+ (cos y) (* -1 (* z (sin y)))) x)) |
(/ (- (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2)) (- (+ (cos y) (* -1 (* z (sin y)))) x)) |
(/ (- (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2)) (- (+ (cos y) (* -1 (* z (sin y)))) x)) |
(/ (- (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2)) (- (+ (cos y) (* -1 (* z (sin y)))) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(- (+ x (cos y)) (* 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)) |
(* 1/6 (* y z)) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(* 1/6 (/ (* y z) x)) |
(* -1 (* y (+ (* -1/6 (/ z x)) (* 1/2 (/ 1 (* x y)))))) |
(* -1 (* y (+ (* -1/6 (/ z x)) (* 1/2 (/ 1 (* x y)))))) |
(* -1 (* y (+ (* -1/6 (/ z x)) (* 1/2 (/ 1 (* x 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) (* -1 (* z (sin y))))) |
(* x (+ (cos y) (* -1 (* z (sin y))))) |
(* x (+ (cos y) (* -1 (* z (sin y))))) |
(* x (+ (cos y) (* -1 (* z (sin y))))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- 1 (* y z)) |
(- (+ 1 x) (* y z)) |
(- (+ 1 x) (* y z)) |
(- (+ 1 x) (* y z)) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ 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)))) |
(/ (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))) x) |
(/ (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))) x) |
(/ (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))) x) |
(/ (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))) x) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ (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))) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
(/ (- (* 1/6 (* y z)) 1/2) x) |
(/ (- (* 1/6 (* y z)) 1/2) x) |
(/ (- (* 1/6 (* y z)) 1/2) x) |
(/ (- (* 1/6 (* y z)) 1/2) 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 (+ (* -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 (+ (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 (/ (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 z) x))) |
(* x (- (+ 1 (/ 1 x)) (/ (* y z) x))) |
(* x (- (+ 1 (/ 1 x)) (/ (* y z) x))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (+ (/ 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)))) |
(/ (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))) x) |
(/ (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))) x) |
(/ (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))) x) |
(/ (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))) 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 (+ (* -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 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(/ (- (* 1/6 (* y z)) 1/2) x) |
(/ (- (* 1/6 (* y z)) 1/2) x) |
(/ (- (* 1/6 (* y z)) 1/2) x) |
(/ (- (* 1/6 (* y z)) 1/2) 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) (* 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 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))) |
(* -1 (/ (+ z (* y (+ 1/2 (* -1/6 (* y z))))) x)) |
(* -1 (/ (+ z (* y (+ 1/2 (* -1/6 (* y z))))) x)) |
(* -1 (/ (+ z (* y (+ 1/2 (* -1/6 (* y z))))) x)) |
(* -1 (/ (+ z (* y (+ 1/2 (* -1/6 (* y z))))) x)) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* -1 (/ (+ 1/2 (* -1/6 (* y z))) x)) |
(* -1 (/ (+ 1/2 (* -1/6 (* y z))) x)) |
(* -1 (/ (+ 1/2 (* -1/6 (* y z))) x)) |
(* -1 (/ (+ 1/2 (* -1/6 (* y z))) 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)) |
(/ (- (pow (cos y) 2) (pow x 2)) (- (cos y) x)) |
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (cos.f64 y) x)) |
(- (+ (* z (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (cos.f64 y)) (/.f64 (sin.f64 y) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (sin.f64 y)) (pow.f64 (-.f64 (cos.f64 y) x) #s(literal 2 binary64)))) z (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (cos.f64 y) x))) |
(- (+ (* z (- (+ (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* z (- (/ (pow (sin y) 2) (- (cos y) x)) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (cos.f64 y)) (/.f64 (sin.f64 y) (-.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (cos.f64 y)) (/.f64 (sin.f64 y) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (sin.f64 y)) (pow.f64 (-.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (sin.f64 y) (-.f64 (cos.f64 y) x)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 (cos.f64 y) x))) z (/.f64 (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (sin.f64 y)) (pow.f64 (-.f64 (cos.f64 y) x) #s(literal 2 binary64))))) z (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (cos.f64 y) x))) |
(- (+ (* z (- (+ (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* z (- (+ (/ (* z (* (sin y) (- (/ (pow (sin y) 2) (- (cos y) x)) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (- (cos y) x)) (/ (pow (sin y) 2) (- (cos y) x))) (* -1 (/ (* (sin y) (- (* -2 (/ (* (cos y) (sin y)) (- (cos y) x))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (- (cos y) x)))))) (* -1 (/ (* (sin y) (- (pow (cos y) 2) (pow x 2))) (pow (- (cos y) x) 2))))) (/ (pow (cos y) 2) (- (cos y) x))) (/ (pow x 2) (- (cos y) x))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (cos.f64 y)) (/.f64 (sin.f64 y) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (sin.f64 y)) (pow.f64 (-.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (sin.f64 y) (-.f64 (cos.f64 y) x)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 (cos.f64 y) x))) (/.f64 (sin.f64 y) (-.f64 (cos.f64 y) x))) z (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (cos.f64 y)) (/.f64 (sin.f64 y) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (sin.f64 y)) (pow.f64 (-.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (sin.f64 y) (-.f64 (cos.f64 y) x)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 (cos.f64 y) x)))) z (fma.f64 (*.f64 #s(literal -2 binary64) (cos.f64 y)) (/.f64 (sin.f64 y) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (sin.f64 y)) (pow.f64 (-.f64 (cos.f64 y) x) #s(literal 2 binary64))))) z (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.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)) |
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x |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))) |
(+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))) |
(+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))) |
(+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x) |
(/ (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) x) |
(/ (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) x) |
(/ (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) x) |
(/ (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) 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) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
x |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 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) |
(/ (- (* 1/6 (* y z)) 1/2) x) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) x) |
(/ (- (* 1/6 (* y z)) 1/2) x) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) x) |
(/ (- (* 1/6 (* y z)) 1/2) x) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) x) |
(/ (- (* 1/6 (* y z)) 1/2) x) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) x) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (sin.f64 y) z (neg.f64 (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 (fma.f64 (sin.f64 y) z (neg.f64 (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 (fma.f64 (sin.f64 y) z (neg.f64 (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 (fma.f64 (sin.f64 y) z (neg.f64 (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 (fma.f64 (sin.f64 y) z (neg.f64 (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 (fma.f64 (sin.f64 y) z (neg.f64 (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) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (sin.f64 y) z (neg.f64 (cos.f64 y))) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (sin.f64 y) z (neg.f64 (cos.f64 y))) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (sin.f64 y) z (neg.f64 (cos.f64 y))) x) #s(literal 1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 z y #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 z y #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 z y #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (sin.f64 y) z (neg.f64 (cos.f64 y))) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (sin.f64 y) z (neg.f64 (cos.f64 y))) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (sin.f64 y) z (neg.f64 (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 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #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) z) y #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) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) y #s(literal 1 binary64)) x))) |
(* -1 (/ (+ z (* y (+ 1/2 (* -1/6 (* y z))))) x)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) z) y #s(literal 1/2 binary64)) y z) (neg.f64 x)) |
(* -1 (/ (+ z (* y (+ 1/2 (* -1/6 (* y z))))) x)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) z) y #s(literal 1/2 binary64)) y z) (neg.f64 x)) |
(* -1 (/ (+ z (* y (+ 1/2 (* -1/6 (* y z))))) x)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) z) y #s(literal 1/2 binary64)) y z) (neg.f64 x)) |
(* -1 (/ (+ z (* y (+ 1/2 (* -1/6 (* y z))))) x)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) z) y #s(literal 1/2 binary64)) y z) (neg.f64 x)) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (sin.f64 y) z (neg.f64 (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 (fma.f64 (sin.f64 y) z (neg.f64 (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 (fma.f64 (sin.f64 y) z (neg.f64 (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 (fma.f64 (sin.f64 y) z (neg.f64 (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 (fma.f64 (sin.f64 y) z (neg.f64 (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 (fma.f64 (sin.f64 y) z (neg.f64 (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) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (sin.f64 y) z (neg.f64 (cos.f64 y))) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (sin.f64 y) z (neg.f64 (cos.f64 y))) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (sin.f64 y) z (neg.f64 (cos.f64 y))) x) #s(literal 1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.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) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 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) |
(* -1 (/ (+ 1/2 (* -1/6 (* y z))) x)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) x) |
(* -1 (/ (+ 1/2 (* -1/6 (* y z))) x)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) x) |
(* -1 (/ (+ 1/2 (* -1/6 (* y z))) x)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) x) |
(* -1 (/ (+ 1/2 (* -1/6 (* y z))) x)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) x) |
| 6 332× | lower-*.f32 |
| 6 322× | lower-*.f64 |
| 5 648× | lower-fma.f32 |
| 5 630× | lower-fma.f64 |
| 3 698× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 351 |
| 0 | 89 | 342 |
| 1 | 414 | 314 |
| 2 | 3364 | 310 |
| 0 | 9750 | 308 |
| 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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) 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))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.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 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))) |
(-.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 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) |
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) 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) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.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) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.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) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
#s(approx (+ x (cos y)) (cos.f64 y)) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
(pow.f64 x #s(literal -1 binary64)) |
#s(approx (+ 1 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) |
| Outputs |
|---|
(*.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 (neg.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)) (fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (neg.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)) |
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(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (*.f64 x (*.f64 (neg.f64 z) (*.f64 #s(literal 1/6 binary64) y)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64)))) (*.f64 x (/.f64 x z))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) y) (neg.f64 z)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (*.f64 x (neg.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 x (*.f64 #s(literal 1/6 binary64) y))) (*.f64 x (/.f64 x z))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) y) z)) x) (*.f64 x (/.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) y) z)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) y)))) (*.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) (/.f64 x z))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (neg.f64 z) (*.f64 #s(literal 1/6 binary64) y)))) (*.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) (neg.f64 x))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64)))) (*.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) (/.f64 x z))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) y) (neg.f64 z)))) (*.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) (neg.f64 x))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) (neg.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z)))) (*.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) (neg.f64 x))) |
(/.f64 (+.f64 (neg.f64 x) (*.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) y) z))) (*.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) x)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) y))) (*.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) (/.f64 x z))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) y) z)) (*.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) (/.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) y) z)))) |
(/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) #s(literal 2 binary64))) (*.f64 x x)) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) y) z)) x)) |
(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (*.f64 x x))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal 1/2 binary64)) x))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 3 binary64)) #s(literal 1/216 binary64) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64)) #s(literal 1/36 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z y) #s(literal -1/12 binary64))) (*.f64 x x))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) (neg.f64 x) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) (*.f64 x #s(literal -2 binary64)) x) (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (neg.f64 x) (*.f64 (*.f64 #s(literal 1/6 binary64) y) z))) (*.f64 (neg.f64 x) x)) |
(/.f64 (+.f64 x (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) y) z))) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) y) z))) (*.f64 x x)) |
(/.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal 1/2 binary64)) x)) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 3 binary64)) #s(literal 1/216 binary64) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) #s(literal 2 binary64)) (*.f64 (*.f64 z y) #s(literal -1/12 binary64))) (*.f64 x x)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 3 binary64)) #s(literal 1/216 binary64) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64))) (fma.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64)) #s(literal 1/36 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z y) #s(literal -1/12 binary64))) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal 1/2 binary64)) x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64)) #s(literal 1/36 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z y) #s(literal -1/12 binary64))) (*.f64 x x))) (fma.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 3 binary64)) #s(literal 1/216 binary64) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (/.f64 z x) #s(literal 1/6 binary64)) y)) |
(fma.f64 (*.f64 (/.f64 z x) #s(literal 1/6 binary64)) y (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 (*.f64 (/.f64 z x) y) #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 z x) #s(literal 1/6 binary64)) y)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 (/.f64 z x) #s(literal 1/6 binary64)) y)) |
(fma.f64 (/.f64 z x) (*.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 (/.f64 z x) #s(literal 1/6 binary64)) y)) |
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 z x) #s(literal 1/6 binary64)) y)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 z x) y) (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 z (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) y)) (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (/.f64 z x)) (/.f64 #s(literal -1/2 binary64) x)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal 1/2 binary64)) x)) (/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z #s(literal 1/2 binary64)) x))) |
(+.f64 (*.f64 (*.f64 (/.f64 z x) #s(literal 1/6 binary64)) y) (/.f64 #s(literal -1/2 binary64) x)) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 (/.f64 z x) #s(literal 1/6 binary64)) y)) |
Compiled 31 340 to 3 802 computations (87.9% saved)
33 alts after pruning (28 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 221 | 13 | 1 234 |
| Fresh | 7 | 15 | 22 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 4 | 5 |
| Total | 1 233 | 33 | 1 266 |
| Status | Accuracy | Program |
|---|---|---|
| 22.2% | (pow.f64 (sqrt.f64 #s(approx (+ (* (sin y) (neg z)) (+ x (cos y))) (*.f64 (neg.f64 z) (sin.f64 y)))) #s(literal 2 binary64)) | |
| 19.6% | (/.f64 #s(approx (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) | |
| 33.9% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| 39.4% | (/.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)))) | |
| ✓ | 99.9% | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ✓ | 87.0% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 48.0% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) | |
| ✓ | 66.6% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 62.7% | #s(approx (pow (sqrt (+ (* (sin y) (neg z)) (+ x (cos y)))) 2) (+.f64 (cos.f64 y) x)) | |
| 39.4% | #s(approx (pow (sqrt (+ (* (sin y) (neg z)) (+ x (cos y)))) 2) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 88.9% | #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (fma.f64 (*.f64 x (sin.f64 y)) (neg.f64 z) (*.f64 (cos.f64 y) x)) (pow.f64 x #s(literal -1 binary64)) x)) | |
| 77.5% | #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (cos.f64 y)))) x x)) | |
| 62.6% | #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (cos.f64 y)) x) x x)) | |
| 50.1% | #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x)) | |
| 88.4% | #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))) x x)) | |
| 88.4% | #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (pow.f64 x #s(literal -1 binary64))) x x)) | |
| 63.0% | #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (*.f64 x #s(approx (+ (* (sin y) (neg z)) (cos y)) (*.f64 (neg.f64 z) (sin.f64 y)))) (pow.f64 x #s(literal -1 binary64)) x)) | |
| 38.0% | #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 #s(approx (+ (* (+ (* (* 1/6 y) (/ z x)) (/ -1/2 x)) y) (/ (neg z) x)) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))) y (/.f64 #s(literal 1 binary64) x))) x x)) | |
| 59.5% | #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x x)) | |
| 79.5% | #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) x (*.f64 x x)) x)) | |
| 48.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 #s(approx (+ (* (/ y z) -1/2) (* 1/6 (* y y))) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) z) y (+.f64 #s(literal 1 binary64) x))) | |
| 27.8% | #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 #s(approx (+ 1 x) #s(literal 1 binary64)))) | |
| 16.9% | #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 #s(approx (+ 1 x) #s(literal 1 binary64)))) | |
| 16.5% | #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 #s(approx (+ 1 x) #s(literal 1 binary64)))) | |
| 28.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64)))) | |
| 34.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) | |
| 39.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y)))) | |
| ✓ | 50.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| 46.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z) y))) | |
| 13.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 z) y))) | |
| 40.6% | #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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) x) y) x #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) z) y #s(literal -1/2 binary64)) (*.f64 y y)))) | |
| ✓ | 18.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
Compiled 1 382 to 646 computations (53.3% 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 (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 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))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 #s(literal -1/2 binary64) y)) y #s(approx (+ 1 x) #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 (- (+ 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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (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) z) y #s(literal -1/2 binary64)) (*.f64 y y)))) |
#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 #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z) y))) |
#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 #s(approx (+ 1 x) #s(literal 1 binary64)))) |
(/.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 #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 (- (+ 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 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 #s(approx (+ (* (/ y z) -1/2) (* 1/6 (* y y))) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) z) 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) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x 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))) |
(-.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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 #s(approx (+ (* (+ (* (* 1/6 y) (/ z x)) (/ -1/2 x)) y) (/ (neg z) x)) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))) y (/.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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x)) |
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) 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) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x)) |
#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 (pow (sqrt (+ (* (sin y) (neg z)) (+ x (cos y)))) 2) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (pow (sqrt (+ (* (sin y) (neg z)) (+ x (cos y)))) 2) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (cos.f64 y)) x) x x)) |
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x 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)))) |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(pow.f64 (sqrt.f64 #s(approx (+ (* (sin y) (neg z)) (+ x (cos y))) (*.f64 (neg.f64 z) (sin.f64 y)))) #s(literal 2 binary64)) |
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (*.f64 x #s(approx (+ (* (sin y) (neg z)) (cos y)) (*.f64 (neg.f64 z) (sin.f64 y)))) (pow.f64 x #s(literal -1 binary64)) x)) |
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)) |
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (/.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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))) x x)) |
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (pow.f64 x #s(literal -1 binary64))) x x)) |
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (fma.f64 (*.f64 x (sin.f64 y)) (neg.f64 z) (*.f64 (cos.f64 y) x)) (pow.f64 x #s(literal -1 binary64)) x)) |
(-.f64 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (fma.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)))) |
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(/.f64 #s(approx (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) |
(/.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 #s(literal 1 binary64) (/.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(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (cos.f64 y)))) x x)) |
(/.f64 #s(approx (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (cos.f64 y)) (/.f64 (sin.f64 y) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z))) (-.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) |
(/.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 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) |
(*.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (-.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #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))) (*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (+.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 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 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)))) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
4 calls:
| 33.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 22.0ms | y |
| 17.0ms | x |
| 17.0ms | z |
| 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 (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 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))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 #s(literal -1/2 binary64) y)) y #s(approx (+ 1 x) #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 (- (+ 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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (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) z) y #s(literal -1/2 binary64)) (*.f64 y y)))) |
#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 #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z) y))) |
#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 #s(approx (+ 1 x) #s(literal 1 binary64)))) |
(/.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 #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 (- (+ 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 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 #s(approx (+ (* (/ y z) -1/2) (* 1/6 (* y y))) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) z) 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) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x 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))) |
(-.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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 #s(approx (+ (* (+ (* (* 1/6 y) (/ z x)) (/ -1/2 x)) y) (/ (neg z) x)) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))) y (/.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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x)) |
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) 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) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x)) |
#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 (pow (sqrt (+ (* (sin y) (neg z)) (+ x (cos y)))) 2) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (pow (sqrt (+ (* (sin y) (neg z)) (+ x (cos y)))) 2) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (cos.f64 y)) x) x x)) |
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x 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)))) |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
4 calls:
| 32.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 16.0ms | x |
| 11.0ms | z |
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 3 | x |
| 88.6% | 2 | y |
| 99.5% | 3 | z |
| 99.1% | 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 (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 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))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 #s(literal -1/2 binary64) y)) y #s(approx (+ 1 x) #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 (- (+ 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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (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) z) y #s(literal -1/2 binary64)) (*.f64 y y)))) |
#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 #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z) y))) |
#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 #s(approx (+ 1 x) #s(literal 1 binary64)))) |
(/.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 #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 (- (+ 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 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 #s(approx (+ (* (/ y z) -1/2) (* 1/6 (* y y))) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) z) 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) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x 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))) |
(-.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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 #s(approx (+ (* (+ (* (* 1/6 y) (/ z x)) (/ -1/2 x)) y) (/ (neg z) x)) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))) y (/.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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x)) |
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) 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) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x)) |
#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 (pow (sqrt (+ (* (sin y) (neg z)) (+ x (cos y)))) 2) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (pow (sqrt (+ (* (sin y) (neg z)) (+ x (cos y)))) 2) (*.f64 (neg.f64 z) (sin.f64 y))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
4 calls:
| 37.0ms | y |
| 10.0ms | z |
| 10.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.1% | 3 | y |
| 66.1% | 3 | x |
| 71.3% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 88.0% | 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 (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 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))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 #s(literal -1/2 binary64) y)) y #s(approx (+ 1 x) #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 (- (+ 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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (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) z) y #s(literal -1/2 binary64)) (*.f64 y y)))) |
#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 #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z) y))) |
#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 #s(approx (+ 1 x) #s(literal 1 binary64)))) |
(/.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 #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 (- (+ 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 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 #s(approx (+ (* (/ y z) -1/2) (* 1/6 (* y y))) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) z) 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) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x 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))) |
(-.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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 #s(approx (+ (* (+ (* (* 1/6 y) (/ z x)) (/ -1/2 x)) y) (/ (neg z) x)) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))) y (/.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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x)) |
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) 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) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x)) |
#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 (pow (sqrt (+ (* (sin y) (neg z)) (+ x (cos y)))) 2) (+.f64 (cos.f64 y) x)) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
2 calls:
| 9.0ms | z |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.5% | 3 | y |
| 71.3% | 3 | z |
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 (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 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))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 #s(literal -1/2 binary64) y)) y #s(approx (+ 1 x) #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 (- (+ 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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (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) z) y #s(literal -1/2 binary64)) (*.f64 y y)))) |
#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 #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z) y))) |
#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 #s(approx (+ 1 x) #s(literal 1 binary64)))) |
(/.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 #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 (- (+ 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 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 #s(approx (+ (* (/ y z) -1/2) (* 1/6 (* y y))) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) z) 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) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x 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))) |
(-.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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 #s(approx (+ (* (+ (* (* 1/6 y) (/ z x)) (/ -1/2 x)) y) (/ (neg z) x)) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))) y (/.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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x)) |
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) 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) (/.f64 z x) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x)) |
| Outputs |
|---|
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (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))) (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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x)) |
4 calls:
| 28.0ms | y |
| 8.0ms | x |
| 8.0ms | z |
| 8.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.8% | 2 | x |
| 54.8% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 58.9% | 3 | z |
| 61.2% | 3 | 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 (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 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))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 #s(literal -1/2 binary64) y)) y #s(approx (+ 1 x) #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 (- (+ 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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (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) z) y #s(literal -1/2 binary64)) (*.f64 y y)))) |
#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 #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z) y))) |
#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 #s(approx (+ 1 x) #s(literal 1 binary64)))) |
(/.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 #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 (- (+ 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 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 #s(approx (* (+ (* 1/6 (* z y)) -1/2) y) (*.f64 #s(approx (+ (* (/ y z) -1/2) (* 1/6 (* y y))) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)) z) y (+.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (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))) (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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x)) |
1 calls:
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.1% | 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 (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 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))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 #s(literal -1/2 binary64) y)) y #s(approx (+ 1 x) #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 (- (+ 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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (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) z) y #s(literal -1/2 binary64)) (*.f64 y y)))) |
#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 #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z) y))) |
#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 #s(approx (+ 1 x) #s(literal 1 binary64)))) |
(/.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 #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))) |
| Outputs |
|---|
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (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))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x)) |
1 calls:
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.0% | 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 (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 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))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 #s(literal -1/2 binary64) y)) y #s(approx (+ 1 x) #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 (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (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:
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.0% | 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 (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 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))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 #s(literal -1/2 binary64) y)) y #s(approx (+ 1 x) #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))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
1 calls:
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.9% | 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 (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y)))) |
3 calls:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.0% | 3 | z |
| 57.8% | 3 | x |
| 50.2% | 1 | y |
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 (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 z) y))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 z) y))) |
3 calls:
| 2.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | z |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.2% | 1 | x |
| 50.2% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 56.1% | 3 | z |
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)) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
3 calls:
| 62.0ms | z |
| 2.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.2% | 1 | y |
| 50.2% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 50.2% | 1 | z |
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 | z |
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 18.2% | 1 | x |
| 18.2% | 1 | z |
| 18.2% | 1 | y |
| 18.2% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 92.0ms | 5.0194972119400456e-11 | 0.3700542153497714 |
| 21.0ms | -1865432104.0534225 | -0.00975272150888894 |
| 100.0ms | 320× | 0 | valid |
Compiled 292 to 354 computations (-21.2% saved)
ival-cos: 79.0ms (85.5% of total)ival-sin: 7.0ms (7.6% of total)ival-sub: 2.0ms (2.2% of total)ival-add: 2.0ms (2.2% of total)ival-mult: 2.0ms (2.2% 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 |
|---|---|---|
| 50.0ms | 5.3271431578942056e+51 | 9.665290017769073e+52 |
| 14.0ms | -3.043546580991893e+87 | -2.1690329296375035e+85 |
| 55.0ms | 224× | 0 | valid |
Compiled 166 to 224 computations (-34.9% saved)
ival-add: 36.0ms (72.3% of total)ival-cos: 6.0ms (12% of total)ival-sin: 5.0ms (10% of total)ival-mult: 2.0ms (4% of total)ival-sub: 1.0ms (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 |
|---|---|---|
| 13.0ms | 0.0021275085834836513 | 1.5655033498208943 |
| 17.0ms | -58.17317924148049 | -1.0348182664758238e-9 |
| 19.0ms | 288× | 0 | valid |
Compiled 390 to 392 computations (-0.5% saved)
ival-cos: 3.0ms (26% of total)ival-sin: 3.0ms (26% of total)ival-add: 2.0ms (17.3% of total)ival-mult: 2.0ms (17.3% of total)ival-sub: 1.0ms (8.7% 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 |
|---|---|---|
| 60.0ms | 0.0021275085834836513 | 1.5655033498208943 |
| 69.0ms | -1.0017440697756782e+26 | -60.99081091594376 |
| 70.0ms | 272× | 0 | valid |
Compiled 468 to 451 computations (3.6% saved)
ival-cos: 51.0ms (80.2% of total)ival-sin: 8.0ms (12.6% of total)ival-mult: 2.0ms (3.1% of total)ival-sub: 1.0ms (1.6% of total)ival-add: 1.0ms (1.6% 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 |
|---|---|---|
| 77.0ms | 4.6344642354427846e+33 | 2.054807589222176e+48 |
| 11.0ms | -1.0017440697756782e+26 | -60.99081091594376 |
| 77.0ms | 224× | 0 | valid |
Compiled 495 to 497 computations (-0.4% saved)
ival-cos: 60.0ms (84% of total)ival-sin: 7.0ms (9.8% of total)ival-mult: 2.0ms (2.8% of total)ival-sub: 1.0ms (1.4% of total)ival-add: 1.0ms (1.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.0021275085834836513 | 1.5655033498208943 |
| 3.0ms | -60.99081091594376 | -58.17317924148049 |
| 2.0ms | 16× | 0 | valid |
Compiled 183 to 194 computations (-6% saved)
ival-cos: 1.0ms (76% 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-sin: 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 | 0.0021275085834836513 | 1.5655033498208943 |
| 0.0ms | -60.99081091594376 | -58.17317924148049 |
Compiled 147 to 176 computations (-19.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 4.488855861398397e+25 | 2.4981320044790603e+28 |
| 0.0ms | -60.99081091594376 | -58.17317924148049 |
| 14.0ms | 128× | 0 | valid |
Compiled 111 to 149 computations (-34.2% saved)
ival-cos: 4.0ms (37.9% of total)ival-sin: 4.0ms (37.9% of total)ival-sub: 1.0ms (9.5% of total)ival-add: 1.0ms (9.5% of total)ival-mult: 1.0ms (9.5% 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 |
|---|---|---|
| 16.0ms | 2.0658361062924559e+161 | 4.614785743478728e+165 |
| 66.0ms | -2.071944621344308e+117 | -7.070516450020756e+116 |
| 75.0ms | 208× | 0 | valid |
Compiled 155 to 209 computations (-34.8% saved)
ival-sin: 60.0ms (86.7% of total)ival-cos: 5.0ms (7.2% of total)ival-mult: 2.0ms (2.9% of total)ival-sub: 1.0ms (1.4% of total)ival-add: 1.0ms (1.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 42.0ms | 2.0658361062924559e+161 | 4.614785743478728e+165 |
| 18.0ms | -4.244779883481739e+227 | -1.3912744779487126e+221 |
| 50.0ms | 256× | 0 | valid |
Compiled 182 to 269 computations (-47.8% saved)
ival-cos: 6.0ms (36.3% of total)ival-sin: 6.0ms (36.3% of total)ival-mult: 2.0ms (12.1% of total)ival-sub: 1.0ms (6.1% of total)ival-add: 1.0ms (6.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 32× | +-commutative-binary64-+.f64 |
| 28× | *-commutative-binary64-*.f64 |
| 26× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 14× | neg-sub0-binary64--.f64-neg.f64 |
| 14× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 776 |
| 1 | 154 | 776 |
| 2 | 178 | 776 |
| 3 | 191 | 776 |
| 4 | 199 | 776 |
| 5 | 201 | 776 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 z #s(literal -6530219459687219/4503599627370496 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 3332663724254167/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -240000000000000003511366855361969527432810317087517214226866588920751127420275571818496 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 39999999999999999728837946974465119058468337677762560 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 -3602879701896397/18014398509481984 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 1261007895663739/4503599627370496 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)))) |
(if (<=.f64 y #s(literal -225000000 binary64)) #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x)) (if (<=.f64 y #s(literal 6980579422424269/4503599627370496 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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x)))) |
(if (<=.f64 y #s(literal -290000000 binary64)) #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x)) (if (<=.f64 y #s(literal 6599999999999999770121186979014433952497664 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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x)))) |
(if (<=.f64 y #s(literal -60 binary64)) #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x)) (if (<=.f64 y #s(literal 6980579422424269/4503599627370496 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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x)))) |
(if (<=.f64 y #s(literal -60 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 6980579422424269/4503599627370496 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 -60 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 51999999999999996980101120 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 z #s(literal -1700000000000000043949013218357728536235960191706775359553965433878116919386249546830099156450588046837656093659758592 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y)))) (if (<=.f64 z #s(literal 5800000000000000119030227229611512045626380420976358878163881545691146753484226012915660965107449003901437312359353205567875277392727442888234405878749621173354496 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y)))))) |
(if (<=.f64 z #s(literal -1649999999999999916366373514834354013961229633287545260360126702777522771486531631699480961692704477036659910333923811360568621636050733870415673122734081674289365586258340749434212754215226208190326109057171163555207053312 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 z) y))) (if (<=.f64 z #s(literal 4499999999999999649997977030005115610462740824694905398286344963695616278415554524777475204206513884136794018484176832225740267619540521422281458540150489925468291072 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 z) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) |
(if (<=.f64 z #s(literal -6530219459687219/4503599627370496 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 3332663724254167/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -6530219459687219/4503599627370496 binary64)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) z)) (if (<=.f64 z #s(literal 3332663724254167/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) z)))) |
(if (<=.f64 z #s(literal -240000000000000003511366855361969527432810317087517214226866588920751127420275571818496 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 39999999999999999728837946974465119058468337677762560 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 -3602879701896397/18014398509481984 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 1261007895663739/4503599627370496 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)))) |
(if (<=.f64 y #s(literal -225000000 binary64)) #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x)) (if (<=.f64 y #s(literal 6980579422424269/4503599627370496 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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x)))) |
(if (<=.f64 y #s(literal -290000000 binary64)) #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x)) (if (<=.f64 y #s(literal 6599999999999999770121186979014433952497664 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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x)))) |
(if (<=.f64 y #s(literal -60 binary64)) #s(approx (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x)) (if (<=.f64 y #s(literal 6980579422424269/4503599627370496 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 (/ (- (pow (+ (* (neg z) (sin y)) (cos y)) 2) (* x x)) (- (+ (* (neg z) (sin y)) (cos y)) x)) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x)))) |
(if (<=.f64 y #s(literal -60 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 6980579422424269/4503599627370496 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 -60 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 51999999999999996980101120 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 z #s(literal -1700000000000000043949013218357728536235960191706775359553965433878116919386249546830099156450588046837656093659758592 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y)))) (if (<=.f64 z #s(literal 5800000000000000119030227229611512045626380420976358878163881545691146753484226012915660965107449003901437312359353205567875277392727442888234405878749621173354496 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y)))))) |
(if (<=.f64 z #s(literal -1649999999999999916366373514834354013961229633287545260360126702777522771486531631699480961692704477036659910333923811360568621636050733870415673122734081674289365586258340749434212754215226208190326109057171163555207053312 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 z) y))) (if (<=.f64 z #s(literal 4499999999999999649997977030005115610462740824694905398286344963695616278415554524777475204206513884136794018484176832225740267619540521422281458540150489925468291072 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 z) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
| 10 746× | lower-fma.f64 |
| 10 746× | lower-fma.f32 |
| 9 454× | lower-fma.f64 |
| 9 454× | lower-fma.f32 |
| 8 116× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 573 | 8595 |
| 1 | 1831 | 8110 |
| 2 | 5792 | 8059 |
| 0 | 8686 | 7685 |
| 0 | 633 | 7796 |
| 1 | 1935 | 7411 |
| 2 | 6341 | 7357 |
| 0 | 8089 | 7042 |
| 0 | 653 | 7469 |
| 1 | 2064 | 7222 |
| 2 | 6735 | 7136 |
| 0 | 8199 | 6834 |
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 47 | 19 |
| 2 | 388 | 19 |
| 3 | 5630 | 19 |
| 0 | 8225 | 19 |
| 0 | 103 | 612 |
| 1 | 287 | 607 |
| 2 | 770 | 605 |
| 3 | 2083 | 601 |
| 4 | 4366 | 601 |
| 5 | 6335 | 601 |
| 0 | 8451 | 579 |
| 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× | node limit |
Compiled 496 to 303 computations (38.9% saved)
Compiled 658 to 224 computations (66% saved)
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