
Time bar (total: 9.7s)
| 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)
| 1.2s | 8 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
ival-sin: 301.0ms (32.6% of total)ival-mult: 285.0ms (30.8% of total)ival-cos: 174.0ms (18.8% of total)ival-add: 154.0ms (16.7% of total)ival-true: 6.0ms (0.6% of total)ival-assert: 3.0ms (0.3% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | (*.f64 z (cos.f64 y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (+.f64 x (sin.f64 y)) |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | x |
| 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 |
| 77.0ms | 512× | 0 | valid |
Compiled 64 to 28 computations (56.3% saved)
ival-add: 32.0ms (51.8% of total)ival-sin: 13.0ms (21.1% of total)ival-cos: 12.0ms (19.4% of total)ival-mult: 4.0ms (6.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 334× | sub-neg |
| 294× | cancel-sign-sub-inv |
| 286× | associate-+l- |
| 272× | distribute-rgt-in |
| 236× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 90 |
| 1 | 92 | 82 |
| 2 | 234 | 81 |
| 3 | 588 | 81 |
| 4 | 1029 | 81 |
| 5 | 1414 | 81 |
| 6 | 1696 | 81 |
| 7 | 1888 | 81 |
| 8 | 1995 | 81 |
| 9 | 2055 | 81 |
| 10 | 2069 | 81 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 18 | 9 |
| 2 | 25 | 9 |
| 3 | 27 | 9 |
| 0 | 27 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
Compiled 12 to 8 computations (33.3% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 8 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (cos.f64 y)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (+.f64 x (sin.f64 y)) | |
| cost-diff | 128 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 24× | lower-+.f32 |
| 20× | lower-+.f64 |
| 12× | lower-fma.f64 |
| 12× | lower-fma.f32 |
| 10× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 18 | 24 |
| 2 | 25 | 24 |
| 3 | 27 | 24 |
| 0 | 27 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
| Outputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
(+.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.00390625 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) | |
| accuracy | 0.0078125 | (+.f64 x (sin.f64 y)) | |
| accuracy | 0.1328125 | (*.f64 z (cos.f64 y)) |
| 32.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-sin: 14.0ms (58.8% of total)ival-cos: 6.0ms (25.2% of total)ival-add: 2.0ms (8.4% of total)ival-mult: 2.0ms (8.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ (sin y) (* z (cos y))) (taylor 0 x) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 x) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 x) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 x) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 y) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y z)) (taylor 0 y) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) (taylor 0 y) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) (taylor 0 y) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) (taylor inf z) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) (taylor inf z) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) (taylor inf z) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor 0 x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor 0 x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor 0 x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor 0 x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (sin y) x))) (taylor inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (sin y) x))) (taylor inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (sin y) x))) (taylor inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 (* -1/6 (pow y 2))))) (taylor 0 y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) (taylor 0 y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor inf y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor inf y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor inf y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor inf y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor -inf y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor -inf y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor -inf y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor -inf y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1/2 (* (pow y 2) z))) (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (pow y 2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (* z (cos y)) |
| 1.0ms | x | @ | 0 | (+ (+ x (sin y)) (* z (cos y))) |
| 0.0ms | y | @ | inf | (+ (+ x (sin y)) (* z (cos y))) |
| 0.0ms | z | @ | 0 | (+ (+ x (sin y)) (* z (cos y))) |
| 0.0ms | y | @ | -inf | (+ (+ x (sin y)) (* z (cos y))) |
| 1× | egg-herbie |
| 11 712× | lower-fma.f64 |
| 11 712× | lower-fma.f32 |
| 3 160× | lower-*.f64 |
| 3 160× | lower-*.f32 |
| 2 322× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 647 |
| 1 | 310 | 643 |
| 2 | 852 | 633 |
| 3 | 2193 | 631 |
| 4 | 4247 | 631 |
| 5 | 7326 | 631 |
| 0 | 8046 | 578 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(sin y) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
x |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
x |
(+ x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
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)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
| Outputs |
|---|
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x z) |
(+.f64 z x) |
(+ x (+ y z)) |
(+.f64 y (+.f64 z x)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(sin y) |
(sin.f64 y) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
x |
(* x (+ 1 (/ (sin y) x))) |
(+.f64 (sin.f64 y) x) |
(* x (+ 1 (/ (sin y) x))) |
(+.f64 (sin.f64 y) x) |
(* x (+ 1 (/ (sin y) x))) |
(+.f64 (sin.f64 y) x) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(+.f64 (sin.f64 y) x) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(+.f64 (sin.f64 y) x) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(+.f64 (sin.f64 y) x) |
x |
(+ x y) |
(+.f64 y x) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(fma.f64 z (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
| 4 470× | lower-*.f32 |
| 4 468× | lower-*.f64 |
| 4 404× | lower-fma.f64 |
| 4 404× | lower-fma.f32 |
| 2 454× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 43 | 21 |
| 2 | 362 | 21 |
| 3 | 5548 | 21 |
| 0 | 8320 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 x (sin.f64 y)) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
| Outputs |
|---|
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))) (*.f64 z (cos.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) |
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))) |
(-.f64 (fma.f64 z (cos.f64 y) (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y)))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(fma.f64 (+.f64 x (sin.f64 y)) (*.f64 (-.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y)))) (*.f64 z (cos.f64 y))) |
(fma.f64 (+.f64 x (sin.f64 y)) (/.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(fma.f64 (+.f64 x (sin.f64 y)) (/.f64 (-.f64 x (sin.f64 y)) (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (*.f64 z (cos.f64 y))) |
(fma.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (*.f64 (+.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) (*.f64 z (cos.f64 y))) |
(fma.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (/.f64 (+.f64 x (sin.f64 y)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (*.f64 z (cos.f64 y))) |
(fma.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(fma.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))) |
(fma.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) (*.f64 z (cos.f64 y))) |
(fma.f64 (neg.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (sin.f64 y)))) (*.f64 z (cos.f64 y))) |
(fma.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))) x) |
(fma.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 z (cos.f64 y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (cos.f64 y))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) x) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y))) |
(fma.f64 (/.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (pow.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (-.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 z (cos.f64 y))) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))) (*.f64 z (cos.f64 y))) |
(fma.f64 (/.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (+.f64 x (sin.f64 y)) (*.f64 x x)) (*.f64 z (cos.f64 y))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))) |
(neg.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (neg.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) |
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (*.f64 x x))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 9 binary64))) (*.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 (+.f64 x (sin.f64 y)) z)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (*.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (*.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (pow.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 (+.f64 x (sin.f64 y)) z)) #s(literal 3 binary64)))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
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(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) |
(/.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 x (sin.f64 y))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (-.f64 x (sin.f64 y)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (sin.f64 y) #s(literal 9 binary64))) (*.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (-.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 y) x) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))))) |
(/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)))) (*.f64 (-.f64 x (sin.f64 y)) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (fma.f64 x x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) |
(/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)))) (*.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (-.f64 (sin.f64 y) x)) |
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (*.f64 (-.f64 x (sin.f64 y)) (-.f64 (fma.f64 x x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (*.f64 (-.f64 x (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 x x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (sin.f64 y) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (-.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (fma.f64 x x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (neg.f64 (neg.f64 (-.f64 x (sin.f64 y))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x)))) (neg.f64 (-.f64 (sin.f64 y) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x (sin.f64 y))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (sin.f64 y) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (-.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y)))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (fma.f64 x x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y)))) (-.f64 (fma.f64 x x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(pow.f64 (+.f64 x (sin.f64 y)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (sin.f64 y) x) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 x (sin.f64 y)) (*.f64 (-.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))))) |
(*.f64 (+.f64 x (sin.f64 y)) (/.f64 (-.f64 x (sin.f64 y)) (-.f64 x (sin.f64 y)))) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) |
(*.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (*.f64 (+.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))))) |
(*.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (/.f64 (+.f64 x (sin.f64 y)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) |
(*.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y)))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))))) |
(*.f64 (neg.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (sin.f64 y))))) |
(*.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x))) |
(*.f64 (/.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (+.f64 x (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (pow.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (-.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) |
(*.f64 (/.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (+.f64 x (sin.f64 y)) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(sin.f64 y) |
(pow.f64 (sin.f64 y) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) #s(literal 1 binary64))) |
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
Compiled 6 709 to 594 computations (91.1% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 258 | 15 | 273 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 259 | 15 | 274 |
| Status | Accuracy | Program |
|---|---|---|
| 75.8% | (fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) x) | |
| ▶ | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
| 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) | |
| 70.0% | (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y))) | |
| 81.8% | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| ▶ | 62.2% | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
| ▶ | 53.2% | (+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 61.0% | (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) | |
| 53.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) | |
| ▶ | 42.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) |
| 65.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) | |
| 47.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) | |
| ▶ | 64.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 52.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) | |
| 35.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
Compiled 440 to 264 computations (40% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (cos.f64 y)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | #s(approx (+ x (sin y)) (sin.f64 y)) | |
| cost-diff | 128 | (+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y))) | |
| cost-diff | 0 | (*.f64 z (cos.f64 y)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | #s(approx (+ x (sin y)) (+.f64 y x)) | |
| cost-diff | 128 | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) | |
| cost-diff | 0 | (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) | |
| cost-diff | 0 | (+.f64 z x) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (+.f64 x (sin.f64 y)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
| 1 260× | lower-fma.f32 |
| 1 252× | lower-fma.f64 |
| 424× | lower-+.f32 |
| 414× | lower-+.f64 |
| 256× | associate-+r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 164 |
| 0 | 46 | 162 |
| 1 | 81 | 162 |
| 2 | 149 | 162 |
| 3 | 292 | 162 |
| 4 | 445 | 162 |
| 5 | 577 | 162 |
| 6 | 612 | 162 |
| 7 | 612 | 162 |
| 0 | 612 | 160 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(cos.f64 y) |
y |
z |
(+.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
(+.f64 z x) |
z |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
y |
(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) |
#s(literal -1/6 binary64) |
(*.f64 z #s(literal -1/2 binary64)) |
z |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(+.f64 z x) |
x |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
#s(approx (+ x (sin y)) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
(+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y))) |
#s(approx (+ x (sin y)) (sin.f64 y)) |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(cos.f64 y) |
y |
z |
(+.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
(+.f64 z x) |
z |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
y |
(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) |
#s(literal -1/6 binary64) |
(*.f64 z #s(literal -1/2 binary64)) |
z |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(+.f64 z x) |
x |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (+.f64 y x))) |
#s(approx (+ x (sin y)) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
z |
(cos.f64 y) |
(+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (sin.f64 y))) |
#s(approx (+ x (sin y)) (sin.f64 y)) |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
z |
(cos.f64 y) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.00390625 | (+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y))) | |
| accuracy | 0.1328125 | (*.f64 z (cos.f64 y)) | |
| accuracy | 39.3520635794936 | #s(approx (+ x (sin y)) (sin.f64 y)) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.00390625 | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) | |
| accuracy | 0.1328125 | (*.f64 z (cos.f64 y)) | |
| accuracy | 29.89672018191703 | #s(approx (+ x (sin y)) (+.f64 y x)) | |
| accuracy | 0.0390625 | (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) | |
| accuracy | 0.05859375 | (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) | |
| accuracy | 0.21875 | (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) | |
| accuracy | 36.61865725459558 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) | |
| accuracy | 0 | (+.f64 z x) | |
| accuracy | 22.89682689429998 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.0078125 | (+.f64 x (sin.f64 y)) | |
| accuracy | 0.05078125 | (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
| 55.0ms | 256× | 0 | valid |
Compiled 140 to 24 computations (82.9% saved)
ival-mult: 10.0ms (26.4% of total)ival-add: 9.0ms (23.8% of total)ival-cos: 7.0ms (18.5% of total)ival-sin: 7.0ms (18.5% of total)const: 4.0ms (10.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #<representation binary64>) () ()) |
#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) (patch (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) (patch (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (sin y)) (+.f64 y x)) (patch #s(approx (+ x (sin y)) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (sin y)) (sin.f64 y)) (patch #s(approx (+ x (sin y)) (sin.f64 y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x z) (taylor 0 y) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y z)) (taylor 0 y) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) (taylor 0 y) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) (taylor 0 y) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) (taylor inf z) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) (taylor inf z) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) (taylor inf z) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) (taylor -inf z) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) (taylor -inf z) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) (taylor -inf z) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sin y) (* z (cos y))) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) (taylor inf x) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) (taylor inf x) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) (taylor inf x) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (pow y 2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor 0 x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor 0 x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor 0 x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor 0 x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (sin y) x))) (taylor inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (sin y) x))) (taylor inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (sin y) x))) (taylor inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 (* -1/6 (pow y 2))))) (taylor 0 y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) (taylor 0 y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor inf y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor inf y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor inf y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor inf y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
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#s(alt (+ x (sin y)) (taylor inf y) (#s(alt #s(approx (+ x (sin y)) (sin.f64 y)) (patch #s(approx (+ x (sin y)) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor inf y) (#s(alt #s(approx (+ x (sin y)) (sin.f64 y)) (patch #s(approx (+ x (sin y)) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor -inf y) (#s(alt #s(approx (+ x (sin y)) (sin.f64 y)) (patch #s(approx (+ x (sin y)) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor -inf y) (#s(alt #s(approx (+ x (sin y)) (sin.f64 y)) (patch #s(approx (+ x (sin y)) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor -inf y) (#s(alt #s(approx (+ x (sin y)) (sin.f64 y)) (patch #s(approx (+ x (sin y)) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor -inf y) (#s(alt #s(approx (+ x (sin y)) (sin.f64 y)) (patch #s(approx (+ x (sin y)) (sin.f64 y)) #<representation binary64>) () ())) ()) |
108 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (+ (* y (+ (* y -1/6) (* z -1/2))) 1) |
| 1.0ms | z | @ | -inf | (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) |
| 1.0ms | z | @ | 0 | (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) |
| 1.0ms | x | @ | 0 | (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) |
| 1.0ms | z | @ | inf | (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) |
| 1× | egg-herbie |
| 17 074× | lower-fma.f64 |
| 17 074× | lower-fma.f32 |
| 3 682× | lower-*.f64 |
| 3 682× | lower-*.f32 |
| 3 082× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 237 | 3530 |
| 1 | 701 | 3471 |
| 2 | 2147 | 3380 |
| 3 | 5217 | 3235 |
| 0 | 8297 | 2901 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(sin y) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
x |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
x |
(+ x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
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)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
x |
(+ x z) |
(+ x z) |
(+ x z) |
z |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
z |
(+ x z) |
(+ x z) |
(+ x z) |
x |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(* -1/6 (pow y 3)) |
(* (pow y 3) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6)) |
(* -1/6 (pow y 3)) |
(* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)) y))))) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
x |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
1 |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))) |
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6)) |
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6)) |
(+ 1 (* -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 z)) (* -1/6 (pow y 2)))) |
(* -1/2 (* y z)) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(* -1/2 (* y z)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(* -1/2 z) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(* -1/6 y) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(* -1/6 y) |
(* -1 (* y (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* y (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* y (+ 1/6 (* 1/2 (/ z y))))) |
(* -1/6 y) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(* -1/2 z) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* -1/2 z) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(sin y) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
x |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
x |
(+ x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(sin y) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
x |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
x |
(+ x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
| Outputs |
|---|
(+ x z) |
(+.f64 x z) |
(+ x (+ y z)) |
(+.f64 (+.f64 x z) y) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+.f64 x (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
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(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (-.f64 x (neg.f64 (sin.f64 y)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (-.f64 x (neg.f64 (sin.f64 y)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (-.f64 x (neg.f64 (sin.f64 y)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) |
(+ x z) |
(+.f64 x z) |
(+ x (+ y z)) |
(+.f64 (+.f64 x z) y) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+.f64 x (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+.f64 z (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(fma.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) x) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(fma.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) x) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(fma.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) x) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(fma.f64 z (cos.f64 y) (-.f64 x (neg.f64 (sin.f64 y)))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(fma.f64 z (cos.f64 y) (-.f64 x (neg.f64 (sin.f64 y)))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(fma.f64 z (cos.f64 y) (-.f64 x (neg.f64 (sin.f64 y)))) |
(sin y) |
(sin.f64 y) |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
x |
(* x (+ 1 (/ (sin y) x))) |
(-.f64 x (neg.f64 (sin.f64 y))) |
(* x (+ 1 (/ (sin y) x))) |
(-.f64 x (neg.f64 (sin.f64 y))) |
(* x (+ 1 (/ (sin y) x))) |
(-.f64 x (neg.f64 (sin.f64 y))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(-.f64 x (neg.f64 (sin.f64 y))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(-.f64 x (neg.f64 (sin.f64 y))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(-.f64 x (neg.f64 (sin.f64 y))) |
x |
(+ x y) |
(+.f64 x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(fma.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
| 5 026× | lower-fma.f32 |
| 5 018× | lower-fma.f64 |
| 4 194× | lower-/.f64 |
| 4 194× | lower-/.f32 |
| 3 742× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 132 |
| 0 | 46 | 130 |
| 1 | 197 | 130 |
| 2 | 1625 | 130 |
| 0 | 8244 | 128 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(cos.f64 y) |
(+.f64 x (sin.f64 y)) |
(sin.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
(+.f64 z x) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
#s(approx (+ x (sin y)) (+.f64 y x)) |
(+.f64 y x) |
(*.f64 z (cos.f64 y)) |
(+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y))) |
#s(approx (+ x (sin y)) (sin.f64 y)) |
| Outputs |
|---|
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) |
(+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (+.f64 (sin.f64 y) (-.f64 x (*.f64 (cos.f64 y) z)))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (+.f64 (sin.f64 y) (-.f64 x (*.f64 (cos.f64 y) z))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))) (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (-.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (+.f64 (sin.f64 y) (-.f64 x (*.f64 (cos.f64 y) z)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (+.f64 (sin.f64 y) (-.f64 x (*.f64 (cos.f64 y) z)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (+.f64 (sin.f64 y) (-.f64 x (*.f64 (cos.f64 y) z))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (neg.f64 (+.f64 (sin.f64 y) (-.f64 x (*.f64 (cos.f64 y) z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (+.f64 (sin.f64 y) (-.f64 x (*.f64 (cos.f64 y) z)))) (*.f64 (+.f64 (sin.f64 y) (-.f64 x (*.f64 (cos.f64 y) z))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (*.f64 (+.f64 (sin.f64 y) (-.f64 x (*.f64 (cos.f64 y) z))) (+.f64 (sin.f64 y) (-.f64 x (*.f64 (cos.f64 y) z))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (+.f64 (sin.f64 y) (-.f64 x (*.f64 (cos.f64 y) z)))))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) (neg.f64 (neg.f64 (+.f64 (sin.f64 y) (-.f64 x (*.f64 (cos.f64 y) z)))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))))) |
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(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 #s(approx (+ x (sin y)) (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (pow.f64 #s(approx (+ x (sin y)) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 y) z) #s(approx (+ x (sin y)) (sin.f64 y))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ x (sin y)) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (neg.f64 (-.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (sin.f64 y)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (pow.f64 #s(approx (+ x (sin y)) (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 y) z) #s(approx (+ x (sin y)) (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ x (sin y)) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 (cos.f64 y) z))) (*.f64 (-.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 (cos.f64 y) z)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (*.f64 (-.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 (cos.f64 y) z)) (-.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 #s(approx (+ x (sin y)) (sin.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) #s(approx (+ x (sin y)) (sin.f64 y))) (pow.f64 #s(approx (+ x (sin y)) (sin.f64 y)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ x (sin y)) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) (neg.f64 (neg.f64 (-.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 (cos.f64 y) z))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (pow.f64 #s(approx (+ x (sin y)) (sin.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) #s(approx (+ x (sin y)) (sin.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (+ x (sin y)) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 (cos.f64 y) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 (cos.f64 y) z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 #s(approx (+ x (sin y)) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 (cos.f64 y) z))) (/.f64 (pow.f64 #s(approx (+ x (sin y)) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 (cos.f64 y) z))) (fma.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 (cos.f64 y) z))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 (cos.f64 y) z))) (*.f64 (/.f64 (pow.f64 #s(approx (+ x (sin y)) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 (cos.f64 y) z))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 (cos.f64 y) z))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (sin.f64 y)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 #s(approx (+ x (sin y)) (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) #s(approx (+ x (sin y)) (sin.f64 y))) (pow.f64 #s(approx (+ x (sin y)) (sin.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 #s(approx (+ x (sin y)) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
#s(approx (+ x (sin y)) (sin.f64 y)) |
Compiled 23 969 to 1 426 computations (94.1% saved)
29 alts after pruning (26 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 865 | 22 | 887 |
| Fresh | 6 | 4 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 873 | 29 | 902 |
| Status | Accuracy | Program |
|---|---|---|
| 75.8% | (fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) x) | |
| ✓ | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
| 62.3% | (fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (+.f64 y x))) | |
| 53.2% | (fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (sin.f64 y))) | |
| 53.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (sin.f64 y))))) | |
| 42.4% | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 44.7% | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z))) | |
| ✓ | 53.2% | (+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 35.6% | (+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| 61.0% | (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) | |
| 28.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (/.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) #s(literal 1 binary64)) (+.f64 z x))) | |
| 37.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) (+.f64 z x))) | |
| 45.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 z x))) | |
| 40.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) | |
| ▶ | 89.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)) |
| 23.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 z z (*.f64 x (-.f64 x z))))) | |
| 23.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))))) | |
| 36.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))) | |
| 23.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))))) | |
| ▶ | 42.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z)))) |
| ▶ | 64.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) |
| ▶ | 52.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x z) y)) |
| 65.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) | |
| ✓ | 64.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 36.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) | |
| ▶ | 35.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
| 17.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) | |
| 28.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))) | |
| 3.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) |
Compiled 987 to 544 computations (44.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 z (cos.f64 y)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) | |
| cost-diff | 0 | (+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z)))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z))) | |
| cost-diff | 0 | (+.f64 z x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 z x)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x))) | |
| cost-diff | 0 | (+.f64 x z) | |
| cost-diff | 0 | (+.f64 (+.f64 x z) y) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x z) y)) | |
| cost-diff | 0 | (fma.f64 z (cos.f64 y) (sin.f64 y)) | |
| cost-diff | 0 | (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)) | |
| cost-diff | 896 | (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) |
| 11 612× | lower-fma.f32 |
| 11 602× | lower-fma.f64 |
| 3 570× | lower-+.f32 |
| 3 562× | lower-+.f64 |
| 2 810× | lower-*.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 248 |
| 0 | 56 | 224 |
| 1 | 100 | 224 |
| 2 | 208 | 224 |
| 3 | 398 | 223 |
| 4 | 674 | 221 |
| 5 | 954 | 221 |
| 6 | 1037 | 221 |
| 7 | 1467 | 221 |
| 8 | 2976 | 221 |
| 9 | 6572 | 221 |
| 0 | 8033 | 221 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)) |
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) |
x |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
z |
(cos.f64 y) |
y |
(sin.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x z) y)) |
(+.f64 (+.f64 x z) y) |
(+.f64 x z) |
x |
z |
y |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 z x)) |
(+.f64 z x) |
z |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z)) |
(+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) |
y |
(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) |
#s(literal -1/6 binary64) |
(*.f64 z #s(literal -1/2 binary64)) |
z |
#s(literal -1/2 binary64) |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
y |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
x |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
z |
(cos.f64 y) |
y |
(sin.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x z) y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (+.f64 y z))) |
(+.f64 (+.f64 x z) y) |
(+.f64 x (+.f64 y z)) |
(+.f64 x z) |
x |
z |
y |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x))) |
(+.f64 x z) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 z x)) |
(/.f64 #s(literal 1 binary64) (+.f64 x z)) |
(+.f64 z x) |
(+.f64 x z) |
z |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 x z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 x z)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z)) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 x z))) |
(+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 x z)) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) |
y |
(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) |
#s(literal -1/6 binary64) |
(*.f64 z #s(literal -1/2 binary64)) |
z |
#s(literal -1/2 binary64) |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.12890625 | (*.f64 z (cos.f64 y)) | |
| accuracy | 40.91563953797211 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) | |
| accuracy | 0.09765625 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z))) | |
| accuracy | 0.21875 | (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) | |
| accuracy | 0.22807542464890784 | (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z)) | |
| accuracy | 36.37133733779333 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z)))) | |
| accuracy | 0 | (+.f64 z x) | |
| accuracy | 0.0078125 | (/.f64 #s(literal 1 binary64) (+.f64 z x)) | |
| accuracy | 0.140625 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x))) | |
| accuracy | 22.653164924181358 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) | |
| accuracy | 0 | (+.f64 (+.f64 x z) y) | |
| accuracy | 0 | (+.f64 x z) | |
| accuracy | 30.419161442933053 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x z) y)) | |
| accuracy | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)) | |
| accuracy | 0.07421875 | (fma.f64 z (cos.f64 y) (sin.f64 y)) | |
| accuracy | 0.1484375 | (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) | |
| accuracy | 6.565619103480342 | (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) |
| 79.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 219 to 32 computations (85.4% saved)
ival-add: 21.0ms (35.9% of total)ival-mult: 11.0ms (18.8% of total)ival-div: 8.0ms (13.7% of total)ival-sin: 8.0ms (13.7% of total)ival-cos: 6.0ms (10.3% of total)const: 4.0ms (6.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (patch (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 z (cos.f64 y) (sin.f64 y)) (patch (fma.f64 z (cos.f64 y) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x z) y)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x z) y)) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 x z) y) (patch (+.f64 (+.f64 x z) y) #<representation binary64>) () ()) |
#s(alt (+.f64 x z) (patch (+.f64 x z) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 z x)) (patch (/.f64 #s(literal 1 binary64) (+.f64 z x)) #<representation binary64>) () ()) |
#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z)))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z)) (patch (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z)) #<representation binary64>) () ()) |
#s(alt (+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z) (patch (+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #<representation binary64>) () ()) |
#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ (sin y) (* z (cos y))) (taylor 0 x) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 x) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 x) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 x) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) (taylor inf x) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) (taylor inf x) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) (taylor inf x) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) (taylor inf z) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) (taylor inf z) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) (taylor inf z) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) (taylor -inf z) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) (taylor -inf z) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) (taylor -inf z) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 y) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y z)) (taylor 0 y) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) (taylor 0 y) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) (taylor 0 y) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) (patch (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (sin y) (* z (cos y))) (taylor 0 x) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 x) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 x) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/2 z) (* -1/6 y)) (taylor 0 z) (#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 z) (taylor inf z) (#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* -1/6 (/ y z)) 1/2)) (taylor inf z) (#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* -1/6 (/ y z)) 1/2)) (taylor inf z) (#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* -1/6 (/ y z)) 1/2)) (taylor inf z) (#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 z) (taylor -inf z) (#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) (taylor -inf z) (#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) (taylor -inf z) (#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) (taylor -inf z) (#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
144 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 48.0ms | x | @ | 0 | (/ (+ (* z (cos y)) (sin y)) x) |
| 2.0ms | y | @ | -inf | (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) |
| 1.0ms | x | @ | 0 | (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) |
| 1.0ms | z | @ | inf | (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) |
| 1.0ms | z | @ | -inf | (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) |
| 1× | egg-herbie |
| 6 784× | lower-fma.f64 |
| 6 784× | lower-fma.f32 |
| 5 314× | lower-*.f64 |
| 5 314× | lower-*.f32 |
| 2 998× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 578 | 6948 |
| 1 | 1779 | 6766 |
| 2 | 5806 | 6637 |
| 0 | 8144 | 6035 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(/ (sin y) x) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(/ (* z (cos y)) x) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(/ (* z (cos y)) x) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(/ z x) |
(+ (/ y x) (/ z x)) |
(+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x)) |
(+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x)) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(sin y) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
z |
(+ y z) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(+ y z) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
x |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(+ x y) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
z |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
z |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
y |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
y |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
z |
(+ x z) |
(+ x z) |
(+ x z) |
x |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
x |
(+ x z) |
(+ x z) |
(+ x z) |
z |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
x |
(+ x z) |
(+ x z) |
(+ x z) |
z |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
z |
(+ x z) |
(+ x z) |
(+ x z) |
x |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(/ 1 x) |
(+ (* -1 (/ z (pow x 2))) (/ 1 x)) |
(+ (* z (- (/ z (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ (* z (- (* z (+ (* -1 (/ z (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(/ 1 z) |
(/ (+ 1 (* -1 (/ x z))) z) |
(/ (- (+ 1 (/ (pow x 2) (pow z 2))) (/ x z)) z) |
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow z 3)))) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ x z))) z) |
(/ 1 z) |
(* -1 (/ (- (/ x z) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) z) x) z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) z) (pow x 2)) z)) x) z)) 1) z)) |
(/ 1 z) |
(+ (* -1 (/ x (pow z 2))) (/ 1 z)) |
(+ (* x (- (/ x (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z)) |
(+ (* x (- (* x (+ (* -1 (/ x (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ z x))) x) |
(/ (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x)) x) |
(/ (- (+ 1 (* -1 (/ (pow z 3) (pow x 3)))) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x))) x) |
(/ 1 x) |
(* -1 (/ (- (/ z x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) x) z) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) x) (pow z 2)) x)) z) x)) 1) x)) |
x |
(+ x z) |
(+ x z) |
(+ x z) |
z |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
z |
(+ x z) |
(+ x z) |
(+ x z) |
x |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(* -1/6 (pow y 3)) |
(* (pow y 3) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6)) |
(* -1/6 (pow y 3)) |
(* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)) y))))) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
x |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(/ 1 (+ x z)) |
(+ (* -1 (/ y (pow (+ x z) 2))) (/ 1 (+ x z))) |
(+ (* y (- (* y (- (/ 1 (pow (+ x z) 3)) (* -1/2 (/ z (pow (+ x z) 2))))) (/ 1 (pow (+ x z) 2)))) (/ 1 (+ x z))) |
(+ (* y (- (* y (- (+ (* y (- (+ (* -1/2 (/ z (pow (+ x z) 3))) (* 1/6 (/ 1 (pow (+ x z) 2)))) (+ (* 1/2 (/ z (pow (+ x z) 3))) (/ 1 (pow (+ x z) 4))))) (/ 1 (pow (+ x z) 3))) (* -1/2 (/ z (pow (+ x z) 2))))) (/ 1 (pow (+ x z) 2)))) (/ 1 (+ x z))) |
(/ -6 (pow y 3)) |
(/ (- (* 18 (/ z y)) 6) (pow y 3)) |
(/ (- (* -1 (/ (+ 36 (* 54 (pow z 2))) (pow y 2))) (+ 6 (* -18 (/ z y)))) (pow y 3)) |
(/ (- (* -1 (/ (+ (* -108 z) (+ (* -3 (* z (+ 36 (* 54 (pow z 2))))) (* 36 (+ x z)))) (pow y 3))) (+ 6 (+ (* -18 (/ z y)) (+ (* 54 (/ (pow z 2) (pow y 2))) (/ 36 (pow y 2)))))) (pow y 3)) |
(/ -6 (pow y 3)) |
(* -1 (/ (+ 6 (* -18 (/ z y))) (pow y 3))) |
(* -1 (/ (+ 6 (* -1 (/ (- (* -1 (/ (- 36 (* -54 (pow z 2))) y)) (* -18 z)) y))) (pow y 3))) |
(* -1 (/ (+ 6 (* -1 (/ (- (* -1 (/ (- (+ 36 (+ (* -108 (/ z y)) (+ (* -3 (/ (* z (- 36 (* -54 (pow z 2)))) y)) (* 36 (/ (+ x z) y))))) (* -54 (pow z 2))) y)) (* -18 z)) y))) (pow y 3))) |
(/ 1 (+ x (* y (+ 1 (* -1/6 (pow y 2)))))) |
(+ (* -1 (* z (+ (* -1/2 (/ (pow y 2) (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))) (/ 1 (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))))) (/ 1 (+ x (* y (+ 1 (* -1/6 (pow y 2))))))) |
(+ (* z (- (/ (* z (* (+ 1 (* -1/2 (pow y 2))) (+ (* -1/2 (/ (pow y 2) (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))) (/ 1 (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))))) (+ x (* y (+ 1 (* -1/6 (pow y 2)))))) (+ (* -1/2 (/ (pow y 2) (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))) (/ 1 (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))))) (/ 1 (+ x (* y (+ 1 (* -1/6 (pow y 2))))))) |
(+ (* z (- (* z (- (* -1 (/ (* z (* (pow (+ 1 (* -1/2 (pow y 2))) 2) (+ (* -1/2 (/ (pow y 2) (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))) (/ 1 (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))))) (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))) (* -1 (/ (* (+ 1 (* -1/2 (pow y 2))) (+ (* -1/2 (/ (pow y 2) (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))) (/ 1 (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2)))) (+ x (* y (+ 1 (* -1/6 (pow y 2))))))))) (+ (* -1/2 (/ (pow y 2) (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))) (/ 1 (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))))) (/ 1 (+ x (* y (+ 1 (* -1/6 (pow y 2))))))) |
(/ 1 (* z (+ 1 (* -1/2 (pow y 2))))) |
(/ (+ (* -1 (/ (+ (/ x (pow (+ 1 (* -1/2 (pow y 2))) 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (pow (+ 1 (* -1/2 (pow y 2))) 2))) z)) (/ 1 (+ 1 (* -1/2 (pow y 2))))) z) |
(/ (- (+ (/ 1 (+ 1 (* -1/2 (pow y 2)))) (/ (* (+ x (* y (+ 1 (* -1/6 (pow y 2))))) (+ (/ x (pow (+ 1 (* -1/2 (pow y 2))) 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (* (pow z 2) (+ 1 (* -1/2 (pow y 2)))))) (+ (/ x (* z (pow (+ 1 (* -1/2 (pow y 2))) 2))) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (pow (+ 1 (* -1/2 (pow y 2))) 2))))) z) |
(/ (- (+ (* -1 (/ (* (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2) (+ (/ x (pow (+ 1 (* -1/2 (pow y 2))) 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (* (pow z 3) (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) (+ (* -1 (/ (* (+ x (* y (+ 1 (* -1/6 (pow y 2))))) (+ (/ x (pow (+ 1 (* -1/2 (pow y 2))) 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (* (pow z 2) (+ 1 (* -1/2 (pow y 2)))))) (+ (/ x (* z (pow (+ 1 (* -1/2 (pow y 2))) 2))) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (pow (+ 1 (* -1/2 (pow y 2))) 2)))))) z) |
(/ -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (/ (+ (/ 1 (- (* 1/2 (pow y 2)) 1)) (+ (/ x (* z (pow (- (* 1/2 (pow y 2)) 1) 2))) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (pow (- (* 1/2 (pow y 2)) 1) 2))))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (* y (+ 1 (* -1/6 (pow y 2))))) (+ (/ x (pow (- (* 1/2 (pow y 2)) 1) 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (pow (- (* 1/2 (pow y 2)) 1) 2)))) (* z (- (* 1/2 (pow y 2)) 1)))) (+ (/ x (pow (- (* 1/2 (pow y 2)) 1) 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (pow (- (* 1/2 (pow y 2)) 1) 2)))) z)) (/ 1 (- (* 1/2 (pow y 2)) 1))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2) (+ (/ x (pow (- (* 1/2 (pow y 2)) 1) 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (pow (- (* 1/2 (pow y 2)) 1) 2)))) (* z (pow (- (* 1/2 (pow y 2)) 1) 2))) (* -1 (/ (* (+ x (* y (+ 1 (* -1/6 (pow y 2))))) (+ (/ x (pow (- (* 1/2 (pow y 2)) 1) 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (pow (- (* 1/2 (pow y 2)) 1) 2)))) (- (* 1/2 (pow y 2)) 1)))) z)) (+ (/ x (pow (- (* 1/2 (pow y 2)) 1) 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (pow (- (* 1/2 (pow y 2)) 1) 2)))) z)) (/ 1 (- (* 1/2 (pow y 2)) 1))) z)) |
(/ 1 (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ (* -1 (/ x (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 2))) (/ 1 (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))) |
(+ (* x (- (/ x (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 3)) (/ 1 (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 2)))) (/ 1 (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 4))) (/ 1 (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 3)))) (/ 1 (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 2)))) (/ 1 (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x))) x) |
(/ (- (+ 1 (/ (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 2) (pow x 2))) (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))) x) |
(/ (- (+ 1 (* -1 (/ (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 2) (pow x 2))) (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) x) |
(/ 1 x) |
(* -1 (/ (- (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 2) x) (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 3) x) (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 2)) x)) (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) x)) 1) x)) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(* -1/6 (pow y 3)) |
(* (pow y 3) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6)) |
(* -1/6 (pow y 3)) |
(* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)) y))))) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
x |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* -1/2 z) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(* -1/6 y) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(* -1/6 y) |
(* -1 (* y (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* y (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* y (+ 1/6 (* 1/2 (/ z y))))) |
(* -1/6 y) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(* -1/2 z) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* -1/2 z) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
| Outputs |
|---|
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (neg.f64 x)) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 (sin.f64 y) x) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 (sin.f64 y) x) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 (sin.f64 y) x) z))) |
(+ x z) |
(+.f64 z x) |
(+ x (+ y z)) |
(+.f64 y (+.f64 z x)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 z x)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
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(fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (fma.f64 y (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) (/.f64 x z))) z) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (fma.f64 y (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) (/.f64 x z))) z) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (fma.f64 y (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) (/.f64 x z))) z) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(neg.f64 (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(*.f64 (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 (fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) z)) (neg.f64 z)) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(*.f64 (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 (fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) z)) (neg.f64 z)) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(*.f64 (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 (fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) z)) (neg.f64 z)) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
x |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(fma.f64 x (fma.f64 y (/.f64 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) (/.f64 z x)) x) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(fma.f64 x (fma.f64 y (/.f64 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) (/.f64 z x)) x) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(fma.f64 x (fma.f64 y (/.f64 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) (/.f64 z x)) x) |
x |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z) x)) (neg.f64 x)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (neg.f64 x)) |
(+ x z) |
(+.f64 z x) |
(+ x (+ y z)) |
(+.f64 y (+.f64 z x)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 z x)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 (sin.f64 y) x) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 (sin.f64 y) x) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 (sin.f64 y) x) z))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(* -1/2 z) |
(*.f64 z #s(literal -1/2 binary64)) |
(+ (* -1/2 z) (* -1/6 y)) |
(fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) |
(+ (* -1/2 z) (* -1/6 y)) |
(fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) |
(+ (* -1/2 z) (* -1/6 y)) |
(fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(*.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(*.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(*.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1 (* y (+ 1/6 (* 1/2 (/ z y))))) |
(neg.f64 (*.f64 y (fma.f64 (/.f64 z y) #s(literal 1/2 binary64) #s(literal 1/6 binary64)))) |
(* -1 (* y (+ 1/6 (* 1/2 (/ z y))))) |
(neg.f64 (*.f64 y (fma.f64 (/.f64 z y) #s(literal 1/2 binary64) #s(literal 1/6 binary64)))) |
(* -1 (* y (+ 1/6 (* 1/2 (/ z y))))) |
(neg.f64 (*.f64 y (fma.f64 (/.f64 z y) #s(literal 1/2 binary64) #s(literal 1/6 binary64)))) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(+ (* -1/2 z) (* -1/6 y)) |
(fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) |
(+ (* -1/2 z) (* -1/6 y)) |
(fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) |
(+ (* -1/2 z) (* -1/6 y)) |
(fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) |
(* -1/2 z) |
(*.f64 z #s(literal -1/2 binary64)) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(*.f64 z (fma.f64 #s(literal -1/6 binary64) (/.f64 y z) #s(literal -1/2 binary64))) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(*.f64 z (fma.f64 #s(literal -1/6 binary64) (/.f64 y z) #s(literal -1/2 binary64))) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(*.f64 z (fma.f64 #s(literal -1/6 binary64) (/.f64 y z) #s(literal -1/2 binary64))) |
(* -1/2 z) |
(*.f64 z #s(literal -1/2 binary64)) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(neg.f64 (*.f64 z (fma.f64 (/.f64 y z) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(neg.f64 (*.f64 z (fma.f64 (/.f64 y z) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(neg.f64 (*.f64 z (fma.f64 (/.f64 y z) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
| 6 014× | lower-*.f32 |
| 6 010× | lower-*.f64 |
| 3 760× | lower-/.f32 |
| 3 750× | lower-/.f64 |
| 3 210× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 203 |
| 0 | 56 | 182 |
| 1 | 253 | 182 |
| 2 | 2207 | 180 |
| 0 | 8728 | 178 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x z) y)) |
(+.f64 (+.f64 x z) y) |
(+.f64 x z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (+.f64 z x)) |
(+.f64 z x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z)) |
(+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
(fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) |
| Outputs |
|---|
(+.f64 x (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) x))) |
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) |
(fma.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64) x) |
(fma.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x x) |
(fma.f64 (*.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64))) (pow.f64 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x)))) |
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(*.f64 (*.f64 (+.f64 x (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) z)) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 x z)))) |
(*.f64 (pow.f64 (+.f64 x (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) z)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) z)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (+.f64 x (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) z)) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 x z))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 x z))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) z)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 x (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) z)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 x (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) z)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)) (*.f64 z (*.f64 z z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) x))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) z)) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 x z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 x z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
(+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64))) |
(+.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z))) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) |
(fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) |
(fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) |
(fma.f64 #s(literal -1/6 binary64) y (*.f64 z #s(literal -1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) z (*.f64 y #s(literal -1/6 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))))) |
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) |
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (fma.f64 (*.f64 z z) #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))) (neg.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z))) (*.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)))) (*.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) |
(*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) |
Compiled 77 994 to 3 288 computations (95.8% saved)
41 alts after pruning (38 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 670 | 24 | 1 694 |
| Fresh | 7 | 14 | 21 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 682 | 41 | 1 723 |
| Status | Accuracy | Program |
|---|---|---|
| 62.3% | (fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (+.f64 y x))) | |
| 53.2% | (fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (sin.f64 y))) | |
| 53.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (sin.f64 y))))) | |
| 42.4% | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| ▶ | 44.7% | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z))) |
| ✓ | 53.2% | (+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 35.6% | (+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| 61.0% | (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) | |
| ▶ | 37.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) (+.f64 z x))) |
| 40.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) | |
| ▶ | 49.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x) x)) |
| 71.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))) x) x)) | |
| 65.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y)) x) x)) | |
| ▶ | 89.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x)) |
| 61.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (/ (+ (* z (cos y)) (sin y)) x) (/.f64 z x)) x)) | |
| 36.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))) | |
| 30.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x (+.f64 z y)) (-.f64 (+.f64 x z) y)) (-.f64 (+.f64 x z) y))) | |
| 23.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))) | |
| 52.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z) (+.f64 y (+.f64 z x)))))) | |
| 48.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (/.f64 #s(literal 1 binary64) x)))) | |
| 17.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (/.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))))))) | |
| 3.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (/.f64 #s(literal -6 binary64) (*.f64 y (*.f64 y y)))))) | |
| 55.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 y (*.f64 (+.f64 z x) (+.f64 z x))))))) | |
| 47.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ z x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)))) | |
| 18.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ z x)) (/.f64 #s(literal 1 binary64) z)))) | |
| 65.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) | |
| ✓ | 64.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 19.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 (+.f64 x z) (*.f64 (+.f64 x z) (+.f64 x z)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (+.f64 x z)) (*.f64 (+.f64 x z) (+.f64 x z)))))) | |
| 36.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) | |
| ✓ | 35.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
| 16.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 17.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) | |
| 18.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| 17.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z))) (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z))) | |
| 2.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))))) | |
| 20.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y z))) | |
| ▶ | 36.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y x))) |
| 28.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))) | |
| 3.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) | |
| 16.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) | |
| 17.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) |
Compiled 1 262 to 676 computations (46.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) (+.f64 z x)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) (+.f64 z x))) | |
| cost-diff | 128 | (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) | |
| cost-diff | 320 | (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) | |
| cost-diff | 0 | #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | #s(approx (+ x (sin y)) (+.f64 y x)) | |
| cost-diff | 0 | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z))) | |
| cost-diff | 0 | #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x) x)) | |
| cost-diff | 896 | (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x) x) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (+ x z) y) (+.f64 y x)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y x))) | |
| cost-diff | 0 | (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) | |
| cost-diff | 896 | (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) |
| 9 938× | lower-fma.f32 |
| 9 922× | lower-fma.f64 |
| 3 354× | lower-*.f32 |
| 3 340× | lower-*.f64 |
| 1 374× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 421 |
| 0 | 86 | 412 |
| 1 | 159 | 403 |
| 2 | 341 | 395 |
| 3 | 963 | 391 |
| 4 | 1856 | 391 |
| 5 | 4058 | 391 |
| 6 | 7318 | 391 |
| 0 | 8075 | 386 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x)) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
#s(literal 1 binary64) |
(/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
z |
(cos.f64 y) |
y |
(sin.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y x))) |
#s(approx (+ (+ x z) y) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x) x)) |
(fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x) x) |
x |
(/.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x) |
#s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) |
(+.f64 y z) |
y |
z |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z))) |
#s(approx (+ x (sin y)) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
#s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z)) |
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z) |
(*.f64 z (*.f64 y y)) |
z |
(*.f64 y y) |
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) (+.f64 z x))) |
(fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) (+.f64 z x)) |
y |
(fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) |
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 y y) #s(literal 1/36 binary64)) |
(*.f64 y y) |
#s(literal 1/36 binary64) |
(*.f64 (*.f64 z z) #s(literal 1/4 binary64)) |
(*.f64 z z) |
z |
#s(literal 1/4 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z))) |
#s(literal 1 binary64) |
(fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) |
#s(literal -1/6 binary64) |
(*.f64 #s(literal 1/2 binary64) z) |
#s(literal 1/2 binary64) |
(+.f64 z x) |
x |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
#s(literal 1 binary64) |
(/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
z |
(cos.f64 y) |
y |
(sin.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 x y))) |
#s(approx (+ (+ x z) y) (+.f64 y x)) |
#s(approx (+ (+ x z) y) (+.f64 x y)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)))) |
(fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x) x) |
(+.f64 x #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z))) |
x |
(/.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x) |
#s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) |
(+.f64 y z) |
y |
z |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) |
#s(approx (+ x (sin y)) (+.f64 y x)) |
#s(approx (+ x (sin y)) (+.f64 x y)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
#s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z)) |
#s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)) |
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z) |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) |
(*.f64 z (*.f64 y y)) |
z |
(*.f64 y y) |
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 (fma.f64 z (*.f64 z #s(literal 1/4 binary64)) (*.f64 y (*.f64 y #s(literal -1/36 binary64)))) (/.f64 y (fma.f64 y #s(literal 1/6 binary64) (*.f64 z #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (+.f64 x z))) |
(fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) (+.f64 z x)) |
(fma.f64 y (fma.f64 (fma.f64 z (*.f64 z #s(literal 1/4 binary64)) (*.f64 y (*.f64 y #s(literal -1/36 binary64)))) (/.f64 y (fma.f64 y #s(literal 1/6 binary64) (*.f64 z #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (+.f64 x z)) |
y |
(fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 z (*.f64 z #s(literal 1/4 binary64)) (*.f64 y (*.f64 y #s(literal -1/36 binary64)))) (/.f64 y (fma.f64 y #s(literal 1/6 binary64) (*.f64 z #s(literal -1/2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) |
(/.f64 (fma.f64 z (*.f64 z #s(literal -1/4 binary64)) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal 1/2 binary64)))) |
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) |
(fma.f64 z (*.f64 z #s(literal -1/4 binary64)) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) |
(*.f64 (*.f64 y y) #s(literal 1/36 binary64)) |
(*.f64 y y) |
#s(literal 1/36 binary64) |
(*.f64 (*.f64 z z) #s(literal 1/4 binary64)) |
(*.f64 z (*.f64 z #s(literal 1/4 binary64))) |
(*.f64 z z) |
z |
#s(literal 1/4 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal 1/2 binary64)))) |
#s(literal 1 binary64) |
(fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) |
(fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal 1/2 binary64))) |
#s(literal -1/6 binary64) |
(*.f64 #s(literal 1/2 binary64) z) |
(*.f64 z #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(+.f64 z x) |
(+.f64 x z) |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.21875 | (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) | |
| accuracy | 3.0937376149812352 | (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) | |
| accuracy | 29.84025917002093 | (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) | |
| accuracy | 36.61865725459558 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) (+.f64 z x))) | |
| accuracy | 0.10546875 | (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) | |
| accuracy | 7.504272853104917 | (*.f64 z (*.f64 y y)) | |
| accuracy | 29.89672018191703 | #s(approx (+ x (sin y)) (+.f64 y x)) | |
| accuracy | 38.3394406066393 | #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z)) | |
| accuracy | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x) x)) | |
| accuracy | 0.1484375 | (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x) | |
| accuracy | 6.565619103480342 | (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x) x) | |
| accuracy | 37.64568280014221 | #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 16.5512569640093 | #s(approx (+ (+ x z) y) (+.f64 y x)) | |
| accuracy | 30.651183152903403 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y x))) | |
| accuracy | 0.07421875 | (fma.f64 z (cos.f64 y) (sin.f64 y)) | |
| accuracy | 0.125 | (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) | |
| accuracy | 0.4122279171762192 | (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) | |
| accuracy | 6.565619103480342 | (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) |
| 180.0ms | 256× | 0 | valid |
Compiled 322 to 49 computations (84.8% saved)
ival-mult: 59.0ms (37.6% of total)ival-add: 53.0ms (33.8% of total)ival-sin: 21.0ms (13.4% of total)const: 9.0ms (5.7% of total)ival-div: 7.0ms (4.5% of total)ival-cos: 6.0ms (3.8% of total)ival-sub: 1.0ms (0.6% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) (patch (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x z) y) (+.f64 y x)) (patch #s(approx (+ (+ x z) y) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x) x) (patch (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x) x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x) (patch (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) (patch #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z))) (patch (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (sin y)) (+.f64 y x)) (patch #s(approx (+ x (sin y)) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z)) (patch #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) (patch (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (patch (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) (+.f64 z x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) (+.f64 z x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) (+.f64 z x)) (patch (fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) (+.f64 z x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 z (cos.f64 y) (sin.f64 y)) (patch (fma.f64 z (cos.f64 y) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (*.f64 z (*.f64 y y)) (patch (*.f64 z (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ (sin y) (* z (cos y))) (taylor 0 x) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 x) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 x) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 x) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) (taylor inf x) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) (taylor inf x) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) (taylor inf x) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) (taylor inf z) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) (taylor inf z) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) (taylor inf z) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) (taylor -inf z) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) (taylor -inf z) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) (taylor -inf z) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 y) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y z)) (taylor 0 y) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) (taylor 0 y) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) (taylor 0 y) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (sin y) (* z (cos y))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (sin y) (* z (cos y))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (sin y) (* z (cos y))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (sin y) (* z (cos y))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (sin y) (* z (cos y))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (sin y) (* z (cos y))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (sin y) (* z (cos y))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (sin y) (* z (cos y))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (sin y) (* z (cos y))) x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (sin y) (* z (cos y))) x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (sin y) (* z (cos y))) x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (sin y) (* z (cos y))) x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow y 2) z) (taylor inf z) (#s(alt (*.f64 z (*.f64 y y)) (patch (*.f64 z (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) z) (taylor inf z) (#s(alt (*.f64 z (*.f64 y y)) (patch (*.f64 z (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) z) (taylor -inf z) (#s(alt (*.f64 z (*.f64 y y)) (patch (*.f64 z (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) z) (taylor -inf z) (#s(alt (*.f64 z (*.f64 y y)) (patch (*.f64 z (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) z) (taylor -inf z) (#s(alt (*.f64 z (*.f64 y y)) (patch (*.f64 z (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) z) (taylor -inf z) (#s(alt (*.f64 z (*.f64 y y)) (patch (*.f64 z (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) z) (taylor 0 y) (#s(alt (*.f64 z (*.f64 y y)) (patch (*.f64 z (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) z) (taylor 0 y) (#s(alt (*.f64 z (*.f64 y y)) (patch (*.f64 z (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) z) (taylor 0 y) (#s(alt (*.f64 z (*.f64 y y)) (patch (*.f64 z (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) z) (taylor 0 y) (#s(alt (*.f64 z (*.f64 y y)) (patch (*.f64 z (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) z) (taylor inf y) (#s(alt (*.f64 z (*.f64 y y)) (patch (*.f64 z (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) z) (taylor inf y) (#s(alt (*.f64 z (*.f64 y y)) (patch (*.f64 z (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) z) (taylor inf y) (#s(alt (*.f64 z (*.f64 y y)) (patch (*.f64 z (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) z) (taylor inf y) (#s(alt (*.f64 z (*.f64 y y)) (patch (*.f64 z (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) z) (taylor -inf y) (#s(alt (*.f64 z (*.f64 y y)) (patch (*.f64 z (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) z) (taylor -inf y) (#s(alt (*.f64 z (*.f64 y y)) (patch (*.f64 z (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) z) (taylor -inf y) (#s(alt (*.f64 z (*.f64 y y)) (patch (*.f64 z (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) z) (taylor -inf y) (#s(alt (*.f64 z (*.f64 y y)) (patch (*.f64 z (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt -1/2 (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/24 (pow y 2)) 1/2) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/24 (pow y 2)) 1/2) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/24 (pow y 2)) 1/2) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 (pow y 2)) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 (pow y 2)) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 z) (taylor 0 y) (#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/6 y) (* 1/2 z)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/6 y) (* 1/2 z)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/6 y) (* 1/2 z)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 y) (taylor inf y) (#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 1/2 (/ z y)) 1/6)) (taylor inf y) (#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 1/2 (/ z y)) 1/6)) (taylor inf y) (#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 1/2 (/ z y)) 1/6)) (taylor inf y) (#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 y) (taylor -inf y) (#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1/6 (* -1/2 (/ z y))))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1/6 (* -1/2 (/ z y))))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1/6 (* -1/2 (/ z y))))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 y) (taylor 0 z) (#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/6 y) (* 1/2 z)) (taylor 0 z) (#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/6 y) (* 1/2 z)) (taylor 0 z) (#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/6 y) (* 1/2 z)) (taylor 0 z) (#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 z) (taylor inf z) (#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1/2 (* -1/6 (/ y z)))) (taylor inf z) (#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1/2 (* -1/6 (/ y z)))) (taylor inf z) (#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1/2 (* -1/6 (/ y z)))) (taylor inf z) (#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 z) (taylor -inf z) (#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* 1/6 (/ y z)) 1/2))) (taylor -inf z) (#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* 1/6 (/ y z)) 1/2))) (taylor -inf z) (#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* 1/6 (/ y z)) 1/2))) (taylor -inf z) (#s(alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) (patch (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) #<representation binary64>) () ())) ()) |
165 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | z | @ | inf | (+ (* y (+ (* y (* (- (* (* y y) 1/36) (* (* z z) 1/4)) (/ 1 (+ (* y -1/6) (* 1/2 z))))) 1)) (+ z x)) |
| 1.0ms | x | @ | 0 | (+ (* y (+ (* y (* (- (* (* y y) 1/36) (* (* z z) 1/4)) (/ 1 (+ (* y -1/6) (* 1/2 z))))) 1)) (+ z x)) |
| 1.0ms | y | @ | 0 | (* (- (* (* y y) 1/36) (* (* z z) 1/4)) (/ 1 (+ (* y -1/6) (* 1/2 z)))) |
| 1.0ms | z | @ | 0 | (* (- (* (* y y) 1/36) (* (* z z) 1/4)) (/ 1 (+ (* y -1/6) (* 1/2 z)))) |
| 1.0ms | z | @ | 0 | (+ (* y (+ (* y (* (- (* (* y y) 1/36) (* (* z z) 1/4)) (/ 1 (+ (* y -1/6) (* 1/2 z))))) 1)) (+ z x)) |
| 1× | egg-herbie |
| 10 988× | lower-fma.f64 |
| 10 988× | lower-fma.f32 |
| 5 936× | lower-*.f64 |
| 5 936× | lower-*.f32 |
| 4 274× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 385 | 6332 |
| 1 | 1182 | 6257 |
| 2 | 3902 | 6162 |
| 0 | 8742 | 5671 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (sin y) x) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(/ (* z (cos y)) x) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(/ (* z (cos y)) x) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(/ z x) |
(+ (/ y x) (/ z x)) |
(+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x)) |
(+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x)) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(/ x (+ (sin y) (* z (cos y)))) |
(/ x (+ (sin y) (* z (cos y)))) |
(/ x (+ (sin y) (* z (cos y)))) |
(/ x (+ (sin y) (* z (cos y)))) |
(/ x (+ (sin y) (* z (cos y)))) |
(/ x (+ (sin y) (* z (cos y)))) |
(/ x (+ (sin y) (* z (cos y)))) |
(/ x (+ (sin y) (* z (cos y)))) |
(/ x (+ (sin y) (* z (cos y)))) |
(/ x (+ (sin y) (* z (cos y)))) |
(/ x (+ (sin y) (* z (cos y)))) |
(/ x (+ (sin y) (* z (cos y)))) |
(/ x (sin y)) |
(+ (* -1 (/ (* x (* z (cos y))) (pow (sin y) 2))) (/ x (sin y))) |
(+ (* z (- (/ (* x (* z (pow (cos y) 2))) (pow (sin y) 3)) (/ (* x (cos y)) (pow (sin y) 2)))) (/ x (sin y))) |
(+ (* z (- (* z (- (* -1 (/ (* x (* z (pow (cos y) 3))) (pow (sin y) 4))) (* -1 (/ (* x (pow (cos y) 2)) (pow (sin y) 3))))) (/ (* x (cos y)) (pow (sin y) 2)))) (/ x (sin y))) |
(/ x (* z (cos y))) |
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ x (cos y))) z) |
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x |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (/ (* y (- (* 1/36 (pow y 2)) (* 1/4 (pow z 2)))) (+ (* -1/6 y) (* 1/2 z))))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (/ (* y (- (* 1/36 (pow y 2)) (* 1/4 (pow z 2)))) (+ (* -1/6 y) (* 1/2 z))))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (/ (* y (- (* 1/36 (pow y 2)) (* 1/4 (pow z 2)))) (+ (* -1/6 y) (* 1/2 z))))) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (/ (* y (- (* 1/36 (pow y 2)) (* 1/4 (pow z 2)))) (+ (* -1/6 y) (* 1/2 z)))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (/ (* y (- (* 1/36 (pow y 2)) (* 1/4 (pow z 2)))) (+ (* -1/6 y) (* 1/2 z)))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (/ (* y (- (* 1/36 (pow y 2)) (* 1/4 (pow z 2)))) (+ (* -1/6 y) (* 1/2 z)))))) x)) 1))) |
(sin y) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
z |
(+ y z) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
-1/2 |
(- (* 1/24 (pow y 2)) 1/2) |
(- (* 1/24 (pow y 2)) 1/2) |
(- (* 1/24 (pow y 2)) 1/2) |
(* 1/24 (pow y 2)) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* 1/24 (pow y 2)) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* 1/2 z) |
(+ (* -1/6 y) (* 1/2 z)) |
(+ (* -1/6 y) (* 1/2 z)) |
(+ (* -1/6 y) (* 1/2 z)) |
(* -1/6 y) |
(* y (- (* 1/2 (/ z y)) 1/6)) |
(* y (- (* 1/2 (/ z y)) 1/6)) |
(* y (- (* 1/2 (/ z y)) 1/6)) |
(* -1/6 y) |
(* -1 (* y (+ 1/6 (* -1/2 (/ z y))))) |
(* -1 (* y (+ 1/6 (* -1/2 (/ z y))))) |
(* -1 (* y (+ 1/6 (* -1/2 (/ z y))))) |
(* -1/6 y) |
(+ (* -1/6 y) (* 1/2 z)) |
(+ (* -1/6 y) (* 1/2 z)) |
(+ (* -1/6 y) (* 1/2 z)) |
(* 1/2 z) |
(* z (+ 1/2 (* -1/6 (/ y z)))) |
(* z (+ 1/2 (* -1/6 (/ y z)))) |
(* z (+ 1/2 (* -1/6 (/ y z)))) |
(* 1/2 z) |
(* -1 (* z (- (* 1/6 (/ y z)) 1/2))) |
(* -1 (* z (- (* 1/6 (/ y z)) 1/2))) |
(* -1 (* z (- (* 1/6 (/ y z)) 1/2))) |
| Outputs |
|---|
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 (sin.f64 y) x) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 (sin.f64 y) x) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 (sin.f64 y) x) z))) |
(+ x z) |
(+.f64 z x) |
(+ x (+ y z)) |
(+.f64 y (+.f64 z x)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+.f64 x (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
(/ (* z (cos y)) x) |
(/.f64 (*.f64 z (cos.f64 y)) x) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 z x)))) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 z x)))) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 z x)))) |
(/ (* z (cos y)) x) |
(/.f64 (*.f64 z (cos.f64 y)) x) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 z x)))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 z x)))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 z x)))) |
(/ z x) |
(/.f64 z x) |
(+ (/ y x) (/ z x)) |
(+.f64 (/.f64 z x) (/.f64 y x)) |
(+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x)) |
(fma.f64 y (fma.f64 y (/.f64 (*.f64 z #s(literal -1/2 binary64)) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 z x)) |
(+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x)) |
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 z x) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 z x)) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))) |
(+ x z) |
(+.f64 z x) |
(+ x (+ y z)) |
(+.f64 y (+.f64 z x)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+.f64 x (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 (sin.f64 y) x) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 (sin.f64 y) x) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 (sin.f64 y) x) z))) |
(/ x (+ (sin y) (* z (cos y)))) |
(/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(/ x (+ (sin y) (* z (cos y)))) |
(/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(/ x (+ (sin y) (* z (cos y)))) |
(/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(/ x (+ (sin y) (* z (cos y)))) |
(/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(/ x (+ (sin y) (* z (cos y)))) |
(/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(/ x (+ (sin y) (* z (cos y)))) |
(/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(/ x (+ (sin y) (* z (cos y)))) |
(/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(/ x (+ (sin y) (* z (cos y)))) |
(/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(/ x (+ (sin y) (* z (cos y)))) |
(/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(/ x (+ (sin y) (* z (cos y)))) |
(/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(/ x (+ (sin y) (* z (cos y)))) |
(/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(/ x (+ (sin y) (* z (cos y)))) |
(/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(/ x (sin y)) |
(/.f64 x (sin.f64 y)) |
(+ (* -1 (/ (* x (* z (cos y))) (pow (sin y) 2))) (/ x (sin y))) |
(-.f64 (/.f64 x (sin.f64 y)) (/.f64 (*.f64 (*.f64 z (cos.f64 y)) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(+ (* z (- (/ (* x (* z (pow (cos y) 2))) (pow (sin y) 3)) (/ (* x (cos y)) (pow (sin y) 2)))) (/ x (sin y))) |
(fma.f64 z (*.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (sin.f64 y)) (cos.f64 y))) (/.f64 x (sin.f64 y))) |
(+ (* z (- (* z (- (* -1 (/ (* x (* z (pow (cos y) 3))) (pow (sin y) 4))) (* -1 (/ (* x (pow (cos y) 2)) (pow (sin y) 3))))) (/ (* x (cos y)) (pow (sin y) 2)))) (/ x (sin y))) |
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(/ x (* z (cos y))) |
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(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y (fma.f64 y (/.f64 (fma.f64 z (*.f64 z #s(literal -1/4 binary64)) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal 1/2 binary64)))) #s(literal 1 binary64)) z) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (/ (* y (- (* 1/36 (pow y 2)) (* 1/4 (pow z 2)))) (+ (* -1/6 y) (* 1/2 z)))))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y (fma.f64 y (/.f64 (fma.f64 z (*.f64 z #s(literal -1/4 binary64)) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal 1/2 binary64)))) #s(literal 1 binary64)) z) x)) (neg.f64 x)) |
(sin y) |
(sin.f64 y) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (/ (sin y) z))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))) |
(* z (+ (cos y) (/ (sin y) z))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))) |
(* z (+ (cos y) (/ (sin y) z))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))) |
z |
(+ y z) |
(+.f64 y z) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) z) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(* (pow y 2) z) |
(*.f64 z (*.f64 y y)) |
(* (pow y 2) z) |
(*.f64 z (*.f64 y y)) |
(* (pow y 2) z) |
(*.f64 z (*.f64 y y)) |
(* (pow y 2) z) |
(*.f64 z (*.f64 y y)) |
(* (pow y 2) z) |
(*.f64 z (*.f64 y y)) |
(* (pow y 2) z) |
(*.f64 z (*.f64 y y)) |
(* (pow y 2) z) |
(*.f64 z (*.f64 y y)) |
(* (pow y 2) z) |
(*.f64 z (*.f64 y y)) |
(* (pow y 2) z) |
(*.f64 z (*.f64 y y)) |
(* (pow y 2) z) |
(*.f64 z (*.f64 y y)) |
(* (pow y 2) z) |
(*.f64 z (*.f64 y y)) |
(* (pow y 2) z) |
(*.f64 z (*.f64 y y)) |
(* (pow y 2) z) |
(*.f64 z (*.f64 y y)) |
(* (pow y 2) z) |
(*.f64 z (*.f64 y y)) |
(* (pow y 2) z) |
(*.f64 z (*.f64 y y)) |
(* (pow y 2) z) |
(*.f64 z (*.f64 y y)) |
(* (pow y 2) z) |
(*.f64 z (*.f64 y y)) |
(* (pow y 2) z) |
(*.f64 z (*.f64 y y)) |
(* (pow y 2) z) |
(*.f64 z (*.f64 y y)) |
(* (pow y 2) z) |
(*.f64 z (*.f64 y y)) |
(* (pow y 2) z) |
(*.f64 z (*.f64 y y)) |
(* (pow y 2) z) |
(*.f64 z (*.f64 y y)) |
(* (pow y 2) z) |
(*.f64 z (*.f64 y y)) |
(* (pow y 2) z) |
(*.f64 z (*.f64 y y)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/24 (pow y 2)) 1/2) |
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
(- (* 1/24 (pow y 2)) 1/2) |
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
(- (* 1/24 (pow y 2)) 1/2) |
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
(* 1/24 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/24 binary64)) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))) |
(* 1/24 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/24 binary64)) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))) |
(* 1/2 z) |
(*.f64 z #s(literal 1/2 binary64)) |
(+ (* -1/6 y) (* 1/2 z)) |
(fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal 1/2 binary64))) |
(+ (* -1/6 y) (* 1/2 z)) |
(fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal 1/2 binary64))) |
(+ (* -1/6 y) (* 1/2 z)) |
(fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal 1/2 binary64))) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* y (- (* 1/2 (/ z y)) 1/6)) |
(*.f64 y (fma.f64 z (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/6 binary64))) |
(* y (- (* 1/2 (/ z y)) 1/6)) |
(*.f64 y (fma.f64 z (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/6 binary64))) |
(* y (- (* 1/2 (/ z y)) 1/6)) |
(*.f64 y (fma.f64 z (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/6 binary64))) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1 (* y (+ 1/6 (* -1/2 (/ z y))))) |
(*.f64 y (fma.f64 z (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/6 binary64))) |
(* -1 (* y (+ 1/6 (* -1/2 (/ z y))))) |
(*.f64 y (fma.f64 z (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/6 binary64))) |
(* -1 (* y (+ 1/6 (* -1/2 (/ z y))))) |
(*.f64 y (fma.f64 z (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/6 binary64))) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(+ (* -1/6 y) (* 1/2 z)) |
(fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal 1/2 binary64))) |
(+ (* -1/6 y) (* 1/2 z)) |
(fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal 1/2 binary64))) |
(+ (* -1/6 y) (* 1/2 z)) |
(fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal 1/2 binary64))) |
(* 1/2 z) |
(*.f64 z #s(literal 1/2 binary64)) |
(* z (+ 1/2 (* -1/6 (/ y z)))) |
(*.f64 z (fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* -1/6 (/ y z)))) |
(*.f64 z (fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* -1/6 (/ y z)))) |
(*.f64 z (fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal 1/2 binary64))) |
(* 1/2 z) |
(*.f64 z #s(literal 1/2 binary64)) |
(* -1 (* z (- (* 1/6 (/ y z)) 1/2))) |
(neg.f64 (*.f64 z (fma.f64 (/.f64 y z) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(* -1 (* z (- (* 1/6 (/ y z)) 1/2))) |
(neg.f64 (*.f64 z (fma.f64 (/.f64 y z) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(* -1 (* z (- (* 1/6 (/ y z)) 1/2))) |
(neg.f64 (*.f64 z (fma.f64 (/.f64 y z) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
| 5 428× | lower-*.f32 |
| 5 414× | lower-*.f64 |
| 4 530× | lower-fma.f32 |
| 4 514× | lower-fma.f64 |
| 3 432× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 320 |
| 0 | 86 | 308 |
| 1 | 375 | 271 |
| 2 | 3099 | 269 |
| 0 | 8715 | 263 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x)) |
(/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y x))) |
#s(approx (+ (+ x z) y) (+.f64 y x)) |
(+.f64 y x) |
(fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x) x) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x) x)) |
(/.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x) |
#s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z))) |
#s(approx (+ x (sin y)) (+.f64 y x)) |
#s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z)) |
(*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) |
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) (+.f64 z x))) |
(fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) (+.f64 z x)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(*.f64 z (*.f64 y y)) |
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
(fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)) |
| Outputs |
|---|
(+.f64 x (*.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(+.f64 (*.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y))) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 2 binary64)) (fma.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 x)))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y))) x) |
(fma.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) |
(fma.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(fma.f64 (/.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))) x) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) |
(fma.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(fma.f64 (/.f64 x (neg.f64 x)) (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y)))) (pow.f64 (*.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y)))) (pow.f64 (*.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 x x (/.f64 (-.f64 (*.f64 x (*.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y)))) (*.f64 x x)) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 x))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y)))) (pow.f64 (*.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 2 binary64)) (fma.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 x))) (*.f64 (fma.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 x)) (fma.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 x)))) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y)))) (pow.f64 (*.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y)))) (pow.f64 (*.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x x) (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 x)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #s(literal 1 binary64)) x) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z (cos.f64 y)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z (cos.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y))) |
(+.f64 (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 (*.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x))) |
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(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal -1/48 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal -1/48 binary64)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 y #s(literal -1/6 binary64))) |
(+.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal 1/2 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 z #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)))) |
(fma.f64 z #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) |
(fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/6 binary64) y (*.f64 z #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) z (*.f64 y #s(literal -1/6 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 y #s(literal -1/6 binary64))))) (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal -1/4 binary64))))) |
(/.f64 (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal -1/4 binary64))) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) |
(/.f64 (fma.f64 z #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (fma.f64 z #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 y #s(literal -1/6 binary64)))))) |
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (fma.f64 z (*.f64 z #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 z #s(literal 1/2 binary64))))))) |
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 y #s(literal -1/6 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))) (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 y #s(literal -1/6 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (-.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 y #s(literal -1/6 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) (*.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)))) (*.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)))) |
(pow.f64 (fma.f64 z #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 y #s(literal -1/6 binary64))))) (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal -1/4 binary64)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)))) |
(*.f64 (fma.f64 z #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 y #s(literal -1/6 binary64))))))) |
Compiled 36 908 to 2 253 computations (93.9% saved)
48 alts after pruning (43 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 178 | 13 | 1 191 |
| Fresh | 3 | 30 | 33 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 184 | 48 | 1 232 |
| Status | Accuracy | Program |
|---|---|---|
| 62.3% | (fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (+.f64 y x))) | |
| 53.2% | (fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (sin.f64 y))) | |
| 53.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (sin.f64 y))))) | |
| 42.4% | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| ✓ | 44.7% | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z))) |
| 44.6% | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) #s(approx (+ (* (* y y) 1/24) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) z))) | |
| ✓ | 53.2% | (+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 35.6% | (+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| 44.5% | (+.f64 #s(approx (+ x (sin y)) #s(approx (+ y x) (fma.f64 x (/.f64 y x) x))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z))) | |
| 61.0% | (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) | |
| 40.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (*.f64 x #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) (/.f64 #s(literal 1 binary64) x) x)) | |
| 43.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 #s(approx (- (* (* y y) 1/36) (* (* z z) 1/4)) (*.f64 z (*.f64 z #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) (+.f64 z x))) | |
| 40.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) | |
| 71.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))) x) x)) | |
| 65.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y)) x) x)) | |
| 49.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y)))) x)) | |
| 71.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))))) x)) | |
| 67.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* z (cos y)) (sin y))) (/.f64 (fma.f64 x (-.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 x (cos.f64 y))) z))) x)) | |
| 49.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) x)) | |
| 61.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (/ (+ (* z (cos y)) (sin y)) x) (/.f64 z x)) x)) | |
| 36.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))) | |
| 23.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))) | |
| 48.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (/.f64 #s(literal 1 binary64) x)))) | |
| 17.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (/.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))))))) | |
| 3.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (/.f64 #s(literal -6 binary64) (*.f64 y (*.f64 y y)))))) | |
| 55.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 y (*.f64 (+.f64 z x) (+.f64 z x))))))) | |
| 47.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ z x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)))) | |
| 18.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ z x)) (/.f64 #s(literal 1 binary64) z)))) | |
| 65.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) | |
| ✓ | 64.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 36.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) | |
| ✓ | 35.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
| 16.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 17.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) | |
| 18.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| 17.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z))) (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z))) | |
| 2.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))))) | |
| 20.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)))) | |
| 20.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y z))) | |
| ✓ | 36.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y x))) |
| 14.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))))) | |
| 27.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) #s(approx (+ y x) (fma.f64 y (/.f64 x y) y)))) | |
| 36.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) #s(approx (+ y x) (fma.f64 x (/.f64 y x) x)))) | |
| 28.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))) | |
| 3.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) | |
| 12.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (* (- (* (* y y) 1/36) (* (* z z) 1/4)) (/ 1 (+ (* y -1/6) (* 1/2 z))))) 1)) (+ z x)) (neg.f64 (*.f64 y (*.f64 (*.f64 y y) (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y)) y)) y))))))) | |
| 16.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) | |
| 17.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) |
Compiled 1 851 to 678 computations (63.4% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x z) y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z))) (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) #s(approx (+ y x) (fma.f64 x (/.f64 y x) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) #s(approx (+ y x) (fma.f64 y (/.f64 x y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (/ (+ (* z (cos y)) (sin y)) x) (/.f64 z x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ z x)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (*.f64 x #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) (/.f64 #s(literal 1 binary64) x) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z) (+.f64 y (+.f64 z x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y)))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (/.f64 #s(literal -6 binary64) (*.f64 y (*.f64 y y)))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) #s(approx (+ (* (* y y) 1/24) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) z))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x (+.f64 z y)) (-.f64 (+.f64 x z) y)) (-.f64 (+.f64 x z) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ z x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (/.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
(+.f64 #s(approx (+ x (sin y)) #s(approx (+ y x) (fma.f64 x (/.f64 y x) x))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 y (*.f64 (+.f64 z x) (+.f64 z x))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 #s(approx (- (* (* y y) 1/36) (* (* z z) 1/4)) (*.f64 z (*.f64 z #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (* (- (* (* y y) 1/36) (* (* z z) 1/4)) (/ 1 (+ (* y -1/6) (* 1/2 z))))) 1)) (+ z x)) (neg.f64 (*.f64 y (*.f64 (*.f64 y y) (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y)) y)) y))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 (+.f64 x z) (*.f64 (+.f64 x z) (+.f64 x z)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (+.f64 x z)) (*.f64 (+.f64 x z) (+.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (/.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (+.f64 y x))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y)) x) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))) x) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (sin.f64 y))) |
(+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x)) |
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) x) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ x (+ (* z (cos y)) (sin y))) (/.f64 (fma.f64 x (-.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 x (cos.f64 y))) z))) x)) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
4 calls:
| 21.0ms | x |
| 21.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 21.0ms | z |
| 20.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x z) y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z))) (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) #s(approx (+ y x) (fma.f64 x (/.f64 y x) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) #s(approx (+ y x) (fma.f64 y (/.f64 x y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (/ (+ (* z (cos y)) (sin y)) x) (/.f64 z x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ z x)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (*.f64 x #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) (/.f64 #s(literal 1 binary64) x) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z) (+.f64 y (+.f64 z x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y)))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (/.f64 #s(literal -6 binary64) (*.f64 y (*.f64 y y)))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) #s(approx (+ (* (* y y) 1/24) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) z))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x (+.f64 z y)) (-.f64 (+.f64 x z) y)) (-.f64 (+.f64 x z) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ z x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (/.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
(+.f64 #s(approx (+ x (sin y)) #s(approx (+ y x) (fma.f64 x (/.f64 y x) x))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 y (*.f64 (+.f64 z x) (+.f64 z x))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 #s(approx (- (* (* y y) 1/36) (* (* z z) 1/4)) (*.f64 z (*.f64 z #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (* (- (* (* y y) 1/36) (* (* z z) 1/4)) (/ 1 (+ (* y -1/6) (* 1/2 z))))) 1)) (+ z x)) (neg.f64 (*.f64 y (*.f64 (*.f64 y y) (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y)) y)) y))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 (+.f64 x z) (*.f64 (+.f64 x z) (+.f64 x z)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (+.f64 x z)) (*.f64 (+.f64 x z) (+.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (/.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (+.f64 y x))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y)) x) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))) x) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (sin.f64 y))) |
(+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))) x) x)) |
(+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))) x) x)) |
4 calls:
| 22.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 18.0ms | z |
| 18.0ms | y |
| 18.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 3 | x |
| 81.8% | 1 | y |
| 94.9% | 4 | z |
| 92.5% | 4 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x z) y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z))) (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) #s(approx (+ y x) (fma.f64 x (/.f64 y x) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) #s(approx (+ y x) (fma.f64 y (/.f64 x y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (/ (+ (* z (cos y)) (sin y)) x) (/.f64 z x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ z x)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (*.f64 x #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) (/.f64 #s(literal 1 binary64) x) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z) (+.f64 y (+.f64 z x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y)))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (/.f64 #s(literal -6 binary64) (*.f64 y (*.f64 y y)))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) #s(approx (+ (* (* y y) 1/24) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) z))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x (+.f64 z y)) (-.f64 (+.f64 x z) y)) (-.f64 (+.f64 x z) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ z x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (/.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
(+.f64 #s(approx (+ x (sin y)) #s(approx (+ y x) (fma.f64 x (/.f64 y x) x))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 y (*.f64 (+.f64 z x) (+.f64 z x))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 #s(approx (- (* (* y y) 1/36) (* (* z z) 1/4)) (*.f64 z (*.f64 z #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (* (- (* (* y y) 1/36) (* (* z z) 1/4)) (/ 1 (+ (* y -1/6) (* 1/2 z))))) 1)) (+ z x)) (neg.f64 (*.f64 y (*.f64 (*.f64 y y) (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y)) y)) y))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 (+.f64 x z) (*.f64 (+.f64 x z) (+.f64 x z)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (+.f64 x z)) (*.f64 (+.f64 x z) (+.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (/.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (+.f64 y x))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y)) x) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))) x) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (sin.f64 y))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))) x) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))) x) x)) |
1 calls:
| 40.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 3 | x |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x z) y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z))) (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) #s(approx (+ y x) (fma.f64 x (/.f64 y x) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) #s(approx (+ y x) (fma.f64 y (/.f64 x y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (/ (+ (* z (cos y)) (sin y)) x) (/.f64 z x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ z x)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (*.f64 x #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) (/.f64 #s(literal 1 binary64) x) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z) (+.f64 y (+.f64 z x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y)))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (/.f64 #s(literal -6 binary64) (*.f64 y (*.f64 y y)))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) #s(approx (+ (* (* y y) 1/24) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) z))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x (+.f64 z y)) (-.f64 (+.f64 x z) y)) (-.f64 (+.f64 x z) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ z x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (/.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
(+.f64 #s(approx (+ x (sin y)) #s(approx (+ y x) (fma.f64 x (/.f64 y x) x))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 y (*.f64 (+.f64 z x) (+.f64 z x))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 #s(approx (- (* (* y y) 1/36) (* (* z z) 1/4)) (*.f64 z (*.f64 z #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (* (- (* (* y y) 1/36) (* (* z z) 1/4)) (/ 1 (+ (* y -1/6) (* 1/2 z))))) 1)) (+ z x)) (neg.f64 (*.f64 y (*.f64 (*.f64 y y) (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y)) y)) y))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 (+.f64 x z) (*.f64 (+.f64 x z) (+.f64 x z)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (+.f64 x z)) (*.f64 (+.f64 x z) (+.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (/.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (+.f64 y x))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y)) x) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))) x) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))))) x)) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))) x) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
2 calls:
| 39.0ms | x |
| 17.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.9% | 4 | z |
| 84.9% | 2 | x |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x z) y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z))) (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) #s(approx (+ y x) (fma.f64 x (/.f64 y x) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) #s(approx (+ y x) (fma.f64 y (/.f64 x y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (/ (+ (* z (cos y)) (sin y)) x) (/.f64 z x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ z x)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (*.f64 x #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) (/.f64 #s(literal 1 binary64) x) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z) (+.f64 y (+.f64 z x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y)))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (/.f64 #s(literal -6 binary64) (*.f64 y (*.f64 y y)))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) #s(approx (+ (* (* y y) 1/24) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) z))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x (+.f64 z y)) (-.f64 (+.f64 x z) y)) (-.f64 (+.f64 x z) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ z x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (/.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
(+.f64 #s(approx (+ x (sin y)) #s(approx (+ y x) (fma.f64 x (/.f64 y x) x))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 y (*.f64 (+.f64 z x) (+.f64 z x))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 #s(approx (- (* (* y y) 1/36) (* (* z z) 1/4)) (*.f64 z (*.f64 z #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (* (- (* (* y y) 1/36) (* (* z z) 1/4)) (/ 1 (+ (* y -1/6) (* 1/2 z))))) 1)) (+ z x)) (neg.f64 (*.f64 y (*.f64 (*.f64 y y) (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y)) y)) y))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 (+.f64 x z) (*.f64 (+.f64 x z) (+.f64 x z)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (+.f64 x z)) (*.f64 (+.f64 x z) (+.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (/.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (+.f64 y x))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y)) x) x)) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
1 calls:
| 18.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.3% | 3 | z |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x z) y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z))) (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) #s(approx (+ y x) (fma.f64 x (/.f64 y x) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) #s(approx (+ y x) (fma.f64 y (/.f64 x y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (/ (+ (* z (cos y)) (sin y)) x) (/.f64 z x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ z x)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (*.f64 x #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) (/.f64 #s(literal 1 binary64) x) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z) (+.f64 y (+.f64 z x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y)))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (/.f64 #s(literal -6 binary64) (*.f64 y (*.f64 y y)))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) #s(approx (+ (* (* y y) 1/24) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) z))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x (+.f64 z y)) (-.f64 (+.f64 x z) y)) (-.f64 (+.f64 x z) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ z x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (/.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
(+.f64 #s(approx (+ x (sin y)) #s(approx (+ y x) (fma.f64 x (/.f64 y x) x))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 y (*.f64 (+.f64 z x) (+.f64 z x))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 #s(approx (- (* (* y y) 1/36) (* (* z z) 1/4)) (*.f64 z (*.f64 z #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (* (- (* (* y y) 1/36) (* (* z z) 1/4)) (/ 1 (+ (* y -1/6) (* 1/2 z))))) 1)) (+ z x)) (neg.f64 (*.f64 y (*.f64 (*.f64 y y) (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y)) y)) y))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 (+.f64 x z) (*.f64 (+.f64 x z) (+.f64 x z)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (+.f64 x z)) (*.f64 (+.f64 x z) (+.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (/.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (+.f64 y x))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
2 calls:
| 18.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 17.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.1% | 5 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 89.6% | 5 | z |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x z) y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z))) (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) #s(approx (+ y x) (fma.f64 x (/.f64 y x) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) #s(approx (+ y x) (fma.f64 y (/.f64 x y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (/ (+ (* z (cos y)) (sin y)) x) (/.f64 z x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ z x)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (*.f64 x #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) (/.f64 #s(literal 1 binary64) x) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z) (+.f64 y (+.f64 z x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y)))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (/.f64 #s(literal -6 binary64) (*.f64 y (*.f64 y y)))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) #s(approx (+ (* (* y y) 1/24) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) z))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x (+.f64 z y)) (-.f64 (+.f64 x z) y)) (-.f64 (+.f64 x z) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ z x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (/.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
(+.f64 #s(approx (+ x (sin y)) #s(approx (+ y x) (fma.f64 x (/.f64 y x) x))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 y (*.f64 (+.f64 z x) (+.f64 z x))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 #s(approx (- (* (* y y) 1/36) (* (* z z) 1/4)) (*.f64 z (*.f64 z #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (* (- (* (* y y) 1/36) (* (* z z) 1/4)) (/ 1 (+ (* y -1/6) (* 1/2 z))))) 1)) (+ z x)) (neg.f64 (*.f64 y (*.f64 (*.f64 y y) (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y)) y)) y))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 (+.f64 x z) (*.f64 (+.f64 x z) (+.f64 x z)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (+.f64 x z)) (*.f64 (+.f64 x z) (+.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (/.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
4 calls:
| 45.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 27.0ms | y |
| 18.0ms | z |
| 16.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.7% | 5 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 80.5% | 3 | y |
| 69.8% | 3 | x |
| 79.1% | 3 | z |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x z) y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z))) (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) #s(approx (+ y x) (fma.f64 x (/.f64 y x) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) #s(approx (+ y x) (fma.f64 y (/.f64 x y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (/ (+ (* z (cos y)) (sin y)) x) (/.f64 z x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ z x)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (*.f64 x #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) (/.f64 #s(literal 1 binary64) x) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z) (+.f64 y (+.f64 z x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y)))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (/.f64 #s(literal -6 binary64) (*.f64 y (*.f64 y y)))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) #s(approx (+ (* (* y y) 1/24) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) z))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x (+.f64 z y)) (-.f64 (+.f64 x z) y)) (-.f64 (+.f64 x z) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ z x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (/.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
(+.f64 #s(approx (+ x (sin y)) #s(approx (+ y x) (fma.f64 x (/.f64 y x) x))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 y (*.f64 (+.f64 z x) (+.f64 z x))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 #s(approx (- (* (* y y) 1/36) (* (* z z) 1/4)) (*.f64 z (*.f64 z #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 z x))) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) z)))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (* (- (* (* y y) 1/36) (* (* z z) 1/4)) (/ 1 (+ (* y -1/6) (* 1/2 z))))) 1)) (+ z x)) (neg.f64 (*.f64 y (*.f64 (*.f64 y y) (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y)) y)) y))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 (+.f64 x z) (*.f64 (+.f64 x z) (+.f64 x z)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (+.f64 x z)) (*.f64 (+.f64 x z) (+.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (/.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) #s(literal 1 binary64)) (+.f64 z x))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
4 calls:
| 21.0ms | y |
| 16.0ms | x |
| 15.0ms | z |
| 15.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.2% | 1 | x |
| 64.2% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 64.2% | 1 | z |
| 67.4% | 3 | y |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x z) y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) x) z))) (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) #s(approx (+ y x) (fma.f64 x (/.f64 y x) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) #s(approx (+ y x) (fma.f64 y (/.f64 x y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (/ (+ (* z (cos y)) (sin y)) x) (/.f64 z x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 z x))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
1 calls:
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.4% | 3 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
2 calls:
| 4.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.2% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 64.2% | 1 | y |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y z))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y x))) |
4 calls:
| 2.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.8% | 1 | y |
| 46.6% | 3 | x |
| 42.7% | 3 | z |
| 40.3% | 3 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y x))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y x))) |
3 calls:
| 4.0ms | x |
| 1.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.8% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 36.8% | 1 | z |
| 36.8% | 1 | x |
Compiled 20 to 14 computations (30% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 1.7979476388714691e-19 | 2.7079845426282685e-17 |
| 24.0ms | -1.759307512382851e-33 | -1.0197538206147275e-39 |
| 29.0ms | 256× | 0 | valid |
Compiled 447 to 270 computations (39.6% saved)
ival-cos: 11.0ms (49% of total)ival-sin: 7.0ms (31.2% of total)ival-add: 2.0ms (8.9% of total)ival-mult: 2.0ms (8.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 1.7979476388714691e-19 | 2.7079845426282685e-17 |
| 1.0ms | -1.759307512382851e-33 | -1.0197538206147275e-39 |
Compiled 431 to 254 computations (41.1% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 150.0ms | 1.3137547605038367e+192 | 6.937489497015773e+200 |
| 15.0ms | 2.694217433841265e-19 | 3.1190591365378068e-18 |
| 14.0ms | -2.5851891060386915e+108 | -1.0635260936720534e+106 |
| 163.0ms | 352× | 0 | valid |
Compiled 553 to 347 computations (37.3% saved)
ival-add: 134.0ms (86.8% of total)ival-cos: 9.0ms (5.8% of total)ival-sin: 9.0ms (5.8% of total)ival-mult: 2.0ms (1.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 4.702275233092443e+109 | 1.3803161318321139e+129 |
| 2.0ms | -2.5851891060386915e+108 | -1.0635260936720534e+106 |
| 17.0ms | 176× | 0 | valid |
Compiled 411 to 284 computations (30.9% saved)
ival-sin: 6.0ms (48.1% of total)ival-cos: 4.0ms (32% of total)ival-add: 2.0ms (16% of total)ival-mult: 1.0ms (8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.702275233092443e+109 | 1.3803161318321139e+129 |
| 18.0ms | 5.420535453750476e-49 | 3.4859034226327497e-46 |
| 22.0ms | -19059958974107996.0 | -11311354627.687162 |
| 0.0ms | -2.5851891060386915e+108 | -1.0635260936720534e+106 |
| 28.0ms | 272× | 0 | valid |
Compiled 610 to 399 computations (34.6% saved)
ival-cos: 7.0ms (37.4% of total)ival-sin: 7.0ms (37.4% of total)ival-add: 3.0ms (16% of total)ival-mult: 2.0ms (10.7% 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 |
|---|---|---|
| 13.0ms | 1.341242948192747e-10 | 5.7748251207461906e-8 |
| 13.0ms | -9714478152877222000.0 | -2449811950599963600.0 |
| 16.0ms | 208× | 0 | valid |
Compiled 262 to 170 computations (35.1% saved)
ival-sin: 4.0ms (36% of total)ival-cos: 3.0ms (27% of total)ival-add: 2.0ms (18% of total)ival-mult: 1.0ms (9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 2.4464223171076186e+26 | 2.5199352497443437e+35 |
| 23.0ms | -2.584538575007029e+54 | -6.396332096481579e+50 |
| 38.0ms | 272× | 0 | valid |
Compiled 423 to 269 computations (36.4% saved)
ival-cos: 12.0ms (38.6% of total)ival-sin: 12.0ms (38.6% of total)ival-add: 5.0ms (16.1% of total)ival-mult: 2.0ms (6.4% 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 |
|---|---|---|
| 20.0ms | 1.277891733800664e+53 | 3.0476057733979642e+57 |
| 17.0ms | -4.898614276481805e+58 | -1.9347275144790635e+57 |
| 26.0ms | 240× | 0 | valid |
Compiled 285 to 179 computations (37.2% saved)
ival-sin: 9.0ms (44% of total)ival-cos: 8.0ms (39.1% of total)ival-add: 2.0ms (9.8% of total)ival-mult: 2.0ms (9.8% 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 |
|---|---|---|
| 4.0ms | 5.192119279771996e-38 | 6.266860770712145e-38 |
| 19.0ms | -4344099481820018700.0 | -16119691141250.496 |
| 17.0ms | 175× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
Compiled 213 to 124 computations (41.8% saved)
ival-sin: 5.0ms (42% of total)ival-cos: 4.0ms (33.6% of total)ival-add: 2.0ms (16.8% of total)ival-mult: 2.0ms (16.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 16× | +-commutative_binary64 |
| 6× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 621 |
| 1 | 114 | 621 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(if (<=.f64 x #s(literal -6547527335242445/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))) x) x)) (if (<=.f64 x #s(literal 4673067172681345/2596148429267413814265248164610048 binary64)) (+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))) x) x)))) |
(if (<=.f64 x #s(literal -6547527335242445/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))) x) x)) (if (<=.f64 x #s(literal 4673067172681345/2596148429267413814265248164610048 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))) x) x)))) |
(if (<=.f64 z #s(literal -230000000000000002604955994574365275989893223205958458682329976627914510867816641310114444373426724732403712 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 8048060130728983/2596148429267413814265248164610048 binary64)) (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) (if (<=.f64 z #s(literal 31000000000000000975151407710224684472951115644373962375814149406240026341019271282554689304179142546921443259440405168710271551857186238024261426618522192112813036737335829739118515309415881506816 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))) x) x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))) |
(if (<=.f64 z #s(literal -230000000000000002604955994574365275989893223205958458682329976627914510867816641310114444373426724732403712 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 295000000000000016175947341385727647846448649187204318032589272734783678289384053111245565656014047401587515863377459019776 binary64)) (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
(if (<=.f64 z #s(literal -230000000000000002604955994574365275989893223205958458682329976627914510867816641310114444373426724732403712 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal -11500000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 z #s(literal 7456192525361715/25711008708143844408671393477458601640355247900524685364822016 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 z #s(literal 295000000000000016175947341385727647846448649187204318032589272734783678289384053111245565656014047401587515863377459019776 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))))) |
(if (<=.f64 y #s(literal -2500000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 8613596464754233/151115727451828646838272 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)))) |
(if (<=.f64 y #s(literal -650000000000000028824316532957955007295286994272256 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 7500000000000000237095616512 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 y #s(literal -1949999999999999841650420423224919886971061392141782614016 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 129999999999999999118723327667011636940022097452728320 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
(if (<=.f64 x #s(literal -180000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y x))) (if (<=.f64 x #s(literal 5555296335638847/95780971304118053647396689196894323976171195136475136 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y x))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(if (<=.f64 x #s(literal -6547527335242445/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))) x) x)) (if (<=.f64 x #s(literal 4673067172681345/2596148429267413814265248164610048 binary64)) (+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))) x) x)))) |
(if (<=.f64 x #s(literal -6547527335242445/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (cos.f64 y) z)) x) x)) (if (<=.f64 x #s(literal 4673067172681345/2596148429267413814265248164610048 binary64)) (+.f64 (*.f64 (cos.f64 y) z) #s(approx (+ x (sin y)) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (cos.f64 y) z)) x) x)))) |
(if (<=.f64 x #s(literal -6547527335242445/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))) x) x)) (if (<=.f64 x #s(literal 4673067172681345/2596148429267413814265248164610048 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))) x) x)))) |
(if (<=.f64 x #s(literal -6547527335242445/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (cos.f64 y) z)) x) x)) (if (<=.f64 x #s(literal 4673067172681345/2596148429267413814265248164610048 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (cos.f64 y) z)) x) x)))) |
(if (<=.f64 z #s(literal -230000000000000002604955994574365275989893223205958458682329976627914510867816641310114444373426724732403712 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 8048060130728983/2596148429267413814265248164610048 binary64)) (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) (if (<=.f64 z #s(literal 31000000000000000975151407710224684472951115644373962375814149406240026341019271282554689304179142546921443259440405168710271551857186238024261426618522192112813036737335829739118515309415881506816 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))) x) x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))) |
(if (<=.f64 z #s(literal -230000000000000002604955994574365275989893223205958458682329976627914510867816641310114444373426724732403712 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 8048060130728983/2596148429267413814265248164610048 binary64)) (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) (if (<=.f64 z #s(literal 31000000000000000975151407710224684472951115644373962375814149406240026341019271282554689304179142546921443259440405168710271551857186238024261426618522192112813036737335829739118515309415881506816 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (cos.f64 y) z)) x) x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))) |
(if (<=.f64 z #s(literal -230000000000000002604955994574365275989893223205958458682329976627914510867816641310114444373426724732403712 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 295000000000000016175947341385727647846448649187204318032589272734783678289384053111245565656014047401587515863377459019776 binary64)) (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
(if (<=.f64 z #s(literal -230000000000000002604955994574365275989893223205958458682329976627914510867816641310114444373426724732403712 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 295000000000000016175947341385727647846448649187204318032589272734783678289384053111245565656014047401587515863377459019776 binary64)) (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (<=.f64 z #s(literal -230000000000000002604955994574365275989893223205958458682329976627914510867816641310114444373426724732403712 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal -11500000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 z #s(literal 7456192525361715/25711008708143844408671393477458601640355247900524685364822016 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 z #s(literal 295000000000000016175947341385727647846448649187204318032589272734783678289384053111245565656014047401587515863377459019776 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))))) |
(if (<=.f64 z #s(literal -230000000000000002604955994574365275989893223205958458682329976627914510867816641310114444373426724732403712 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal -11500000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 z #s(literal 7456192525361715/25711008708143844408671393477458601640355247900524685364822016 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) (if (<=.f64 z #s(literal 295000000000000016175947341385727647846448649187204318032589272734783678289384053111245565656014047401587515863377459019776 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))))) |
(if (<=.f64 y #s(literal -2500000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 8613596464754233/151115727451828646838272 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)))) |
(if (<=.f64 y #s(literal -2500000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 8613596464754233/151115727451828646838272 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))))) |
(if (<=.f64 y #s(literal -650000000000000028824316532957955007295286994272256 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 7500000000000000237095616512 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 y #s(literal -1949999999999999841650420423224919886971061392141782614016 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 129999999999999999118723327667011636940022097452728320 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
(if (<=.f64 x #s(literal -180000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y x))) (if (<=.f64 x #s(literal 5555296335638847/95780971304118053647396689196894323976171195136475136 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ x z) y) (+.f64 y x))) |
| 17 074× | lower-fma.f64 |
| 17 074× | lower-fma.f32 |
| 11 712× | lower-fma.f64 |
| 11 712× | lower-fma.f32 |
| 6 784× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 578 | 6948 |
| 1 | 1779 | 6766 |
| 2 | 5806 | 6637 |
| 0 | 8144 | 6035 |
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 43 | 21 |
| 2 | 362 | 21 |
| 3 | 5548 | 21 |
| 0 | 8320 | 20 |
| 0 | 109 | 647 |
| 1 | 310 | 643 |
| 2 | 852 | 633 |
| 3 | 2193 | 631 |
| 4 | 4247 | 631 |
| 5 | 7326 | 631 |
| 0 | 8046 | 578 |
| 0 | 237 | 3530 |
| 1 | 701 | 3471 |
| 2 | 2147 | 3380 |
| 3 | 5217 | 3235 |
| 0 | 8297 | 2901 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 537 to 241 computations (55.1% saved)
Compiled 624 to 170 computations (72.8% saved)
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