
Time bar (total: 9.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 982.0ms | 8 253× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
| 0.0ms | 2× | 1 | valid |
ival-sin: 283.0ms (42.4% of total)ival-cos: 221.0ms (33.1% of total)ival-mult: 78.0ms (11.7% of total)ival-add: 76.0ms (11.4% of total)ival-true: 6.0ms (0.9% of total)ival-assert: 3.0ms (0.4% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (+.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-sin: 24.0ms (55.7% of total)ival-cos: 10.0ms (23.2% of total)ival-add: 5.0ms (11.6% of total)ival-mult: 3.0ms (7% 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))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.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))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+.f64 x (sin.f64 y)) |
(+.f64 (sin.f64 y) x) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
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 | 0.015625 | (+.f64 x (sin.f64 y)) | |
| accuracy | 0.12890625 | (*.f64 z (cos.f64 y)) |
| 25.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-sin: 6.0ms (40.3% of total)ival-cos: 5.0ms (33.6% of total)ival-add: 2.0ms (13.4% of total)ival-mult: 2.0ms (13.4% 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 | x | @ | 0 | (+ (+ x (sin y)) (* z (cos y))) |
| 1.0ms | z | @ | 0 | (* 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 (cos.f64 y) z (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+ x z) |
(+.f64 x z) |
(+ x (+ y z)) |
(+.f64 (+.f64 x y) z) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(+.f64 x (fma.f64 (cos.f64 y) z (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 (sin.f64 y)) |
(* x (+ 1 (/ (sin y) x))) |
(+.f64 x (sin.f64 y)) |
(* x (+ 1 (/ (sin y) x))) |
(+.f64 x (sin.f64 y)) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(+.f64 x (sin.f64 y)) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(+.f64 x (sin.f64 y)) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(+.f64 x (sin.f64 y)) |
x |
(+ x y) |
(+.f64 x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y 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)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(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 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(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 (/.f64 (fma.f64 (neg.f64 (*.f64 z z)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (*.f64 (cos.f64 y) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (*.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (*.f64 (cos.f64 y) z)) (-.f64 (*.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (*.f64 (cos.f64 y) z)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 z z)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) (fma.f64 (neg.f64 (*.f64 z z)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) |
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)))) |
(*.f64 (-.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 x (fma.f64 (cos.f64 y) z (sin.f64 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x))) (fma.f64 (neg.f64 (*.f64 z z)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z) (*.f64 (+.f64 (sin.f64 y) x) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x))))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) |
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)))) |
(*.f64 (neg.f64 (fma.f64 (neg.f64 (*.f64 z z)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z) (*.f64 (+.f64 (sin.f64 y) x) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x))))))) |
(*.f64 (fma.f64 (neg.f64 (*.f64 z z)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)))) |
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z) (*.f64 (+.f64 (sin.f64 y) x) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)))) (/.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z) (*.f64 (+.f64 (sin.f64 y) x) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)))))) |
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z) (*.f64 (+.f64 (sin.f64 y) x) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)))) (*.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z) (*.f64 (+.f64 (sin.f64 y) x) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x))))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z) (*.f64 (+.f64 (sin.f64 y) x) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)))))) |
(*.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)))) |
(*.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x))))) |
(pow.f64 (/.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.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)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)))) (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z) (*.f64 (+.f64 (sin.f64 y) x) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)))))) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 9 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z) (*.f64 (+.f64 (sin.f64 y) x) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)))))) (-.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 z (+.f64 (sin.f64 y) x)) (cos.f64 y)) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z) (*.f64 (+.f64 (sin.f64 y) x) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 z z) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 z z) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64))) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64))) (-.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 z z) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 z z) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 z z) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)))))))) |
(/.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 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64) (-.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)) (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))))) |
(/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))) (neg.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 (*.f64 z z)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z) (*.f64 (+.f64 (sin.f64 y) x) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z) (*.f64 (+.f64 (sin.f64 y) x) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)))))) |
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(*.f64 (/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (sin.f64 y) x) (sin.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 (sin.f64 y) x) (sin.f64 y)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (-.f64 (sin.f64 y) x) (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (-.f64 (sin.f64 y) x) (sin.f64 y)) (-.f64 (*.f64 (-.f64 (sin.f64 y) x) (sin.f64 y)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 (/.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (+.f64 (sin.f64 y) x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))) (fma.f64 (*.f64 x x) x (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) |
(*.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)) |
(*.f64 (neg.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (sin.f64 y))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))))) |
(*.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y)))) |
(*.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) (/.f64 (+.f64 (sin.f64 y) x) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))) |
(*.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) (*.f64 (+.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))))) |
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))) |
(*.f64 (+.f64 (sin.f64 y) x) (/.f64 (-.f64 x (sin.f64 y)) (-.f64 x (sin.f64 y)))) |
(*.f64 (+.f64 (sin.f64 y) x) (*.f64 (-.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))))) |
(pow.f64 (/.f64 (-.f64 (sin.f64 y) x) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(pow.f64 (+.f64 (sin.f64 y) x) #s(literal 1 binary64)) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y)))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) (pow.f64 (sin.f64 y) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (-.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 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 (pow.f64 (*.f64 x (/.f64 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 x (/.f64 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 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 (neg.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)))) (neg.f64 (-.f64 (sin.f64 y) x))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (sin.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) (pow.f64 (sin.f64 y) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (-.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (*.f64 (-.f64 x (sin.f64 y)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)))) (pow.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (*.f64 (-.f64 x (sin.f64 y)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (*.f64 (-.f64 x (sin.f64 y)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 y) x) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) (pow.f64 (sin.f64 y) #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (-.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (neg.f64 (-.f64 x (sin.f64 y)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))) |
(/.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 x (sin.f64 y))) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))) |
(neg.f64 (neg.f64 (+.f64 (sin.f64 y) x))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (+.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (+.f64 (sin.f64 y) x) (neg.f64 (/.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 x) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(fma.f64 x (/.f64 x (-.f64 x (sin.f64 y))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) (-.f64 (sin.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (sin.f64 y) x))) |
(-.f64 (*.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)))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sin.f64 y) x))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 y) x)) #s(literal 1 binary64))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x (sin.f64 y)))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(+.f64 (sin.f64 y) x) |
(+.f64 x (sin.f64 y)) |
(pow.f64 (sin.f64 y) #s(literal 1 binary64)) |
(sin.f64 y) |
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64))) |
(cos.f64 y) |
Compiled 6 709 to 585 computations (91.3% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 260 | 13 | 273 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 261 | 13 | 274 |
| Status | Accuracy | Program |
|---|---|---|
| 41.9% | (/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) | |
| 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))) | |
| ▶ | 99.9% | (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) |
| ▶ | 67.5% | (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y))) |
| ▶ | 85.9% | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
| 58.0% | (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)))) | |
| ▶ | 55.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))) |
| 57.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) | |
| 58.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) | |
| 63.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z)) | |
| 62.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) | |
| ▶ | 67.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
| 40.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
Compiled 412 to 240 computations (41.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) | |
| cost-diff | 128 | (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x)) | |
| cost-diff | 128 | (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y))) | |
| cost-diff | 0 | (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) | |
| 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 #s(approx (cos y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))) | |
| cost-diff | 0 | (+.f64 x z) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) z x) | |
| cost-diff | 0 | (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) |
| 10 744× | lower-fma.f32 |
| 10 734× | lower-fma.f64 |
| 2 192× | lower-*.f32 |
| 2 184× | lower-*.f64 |
| 1 844× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 217 |
| 0 | 63 | 215 |
| 1 | 102 | 215 |
| 2 | 169 | 215 |
| 3 | 346 | 215 |
| 4 | 788 | 215 |
| 5 | 1447 | 215 |
| 6 | 2617 | 215 |
| 7 | 4654 | 215 |
| 8 | 5770 | 215 |
| 9 | 6323 | 215 |
| 10 | 6491 | 215 |
| 11 | 6608 | 215 |
| 12 | 6668 | 215 |
| 13 | 6670 | 215 |
| 14 | 6671 | 215 |
| 15 | 6700 | 215 |
| 16 | 6701 | 215 |
| 17 | 6701 | 215 |
| 18 | 7535 | 215 |
| 19 | 7795 | 215 |
| 20 | 7795 | 215 |
| 21 | 7795 | 215 |
| 22 | 7807 | 215 |
| 0 | 7807 | 211 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) |
(fma.f64 (cos.f64 y) z x) |
(cos.f64 y) |
y |
z |
x |
(sin.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
(+.f64 x z) |
x |
z |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z)) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) |
#s(literal -1/6 binary64) |
y |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
#s(literal 1 binary64) |
(+.f64 x z) |
x |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(+.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z #s(approx (cos y) #s(literal 1 binary64))) |
z |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x)) |
(-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) |
#s(literal 1/2 binary64) |
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) |
(cos.f64 (+.f64 y y)) |
(+.f64 y y) |
y |
(*.f64 x x) |
x |
(-.f64 (sin.f64 y) x) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
| Outputs |
|---|
(+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z x) |
(fma.f64 z (cos.f64 y) x) |
(cos.f64 y) |
y |
z |
x |
(sin.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
(+.f64 x z) |
x |
z |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z)) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) |
#s(literal -1/6 binary64) |
y |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
#s(literal 1 binary64) |
(+.f64 x z) |
x |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) |
(+.f64 x (sin.f64 y)) |
(+.f64 (sin.f64 y) x) |
x |
(sin.f64 y) |
y |
(*.f64 z #s(approx (cos y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) |
z |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y))) |
(fma.f64 z (cos.f64 y) (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1/2 binary64))) (-.f64 x (sin.f64 y)))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x)) |
(/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1/2 binary64))) (-.f64 x (sin.f64 y))) |
(-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) (fma.f64 (neg.f64 x) x #s(literal 1/2 binary64))) |
#s(literal 1/2 binary64) |
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) |
(cos.f64 (+.f64 y y)) |
(+.f64 y y) |
y |
(*.f64 x x) |
x |
(-.f64 (sin.f64 y) x) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y))) | |
| accuracy | 0.12890625 | (*.f64 z (cos.f64 y)) | |
| accuracy | 12.709557580432111 | (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) | |
| accuracy | 18.800445414346434 | (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x)) | |
| accuracy | 0.00390625 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| accuracy | 0.015625 | (+.f64 x (sin.f64 y)) | |
| accuracy | 0.12890625 | (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) | |
| accuracy | 28.421401510946204 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 0.0234375 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z)) | |
| accuracy | 0.041347509768442016 | (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) | |
| accuracy | 0.1875 | (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) | |
| accuracy | 28.540412924878 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))) | |
| accuracy | 0 | (+.f64 x z) | |
| accuracy | 20.561564073717864 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.01171875 | (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) | |
| accuracy | 0.0625 | (fma.f64 (cos.f64 y) z x) |
| 153.0ms | 190× | 0 | valid |
| 31.0ms | 54× | 1 | valid |
| 9.0ms | 12× | 2 | valid |
Compiled 206 to 34 computations (83.5% saved)
ival-add: 30.0ms (34.7% of total)ival-cos: 17.0ms (19.6% of total)ival-mult: 14.0ms (16.2% of total)adjust: 9.0ms (10.4% of total)ival-sin: 6.0ms (6.9% of total)const: 4.0ms (4.6% of total)ival-sub: 3.0ms (3.5% of total)ival-div: 2.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (cos.f64 y) z x) (patch (fma.f64 (cos.f64 y) z x) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.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 x z)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) #<representation binary64>) () ()) |
#s(alt (+.f64 x z) (patch (+.f64 x z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y))) (patch (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x)) (patch (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (patch (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x z) (taylor 0 y) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y z)) (taylor 0 y) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) (taylor 0 y) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) (taylor 0 y) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) (taylor inf z) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) (taylor inf z) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) (taylor inf z) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (sin y) (* z (cos y))) (taylor 0 x) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 x) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 x) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 x) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) (taylor inf x) (#s(alt (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) (patch (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2)))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (patch (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (+ (* -1 (pow y 2)) (pow x 2))) (taylor 0 y) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (+ (* (pow y 2) (- (* 1/3 (pow y 2)) 1)) (pow x 2))) (taylor 0 y) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (+ (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)) (pow x 2))) (taylor 0 y) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (cos (* 2 y))) (pow x 2)) (taylor inf y) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (cos (* 2 y))) (pow x 2)) (taylor inf y) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (cos (* 2 y))) (pow x 2)) (taylor inf y) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (cos (* 2 y))) (pow x 2)) (taylor inf y) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2)) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2)) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2)) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2)) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (cos (* 2 y))) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (cos (* 2 y))) (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (cos (* 2 y))) (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (cos (* 2 y))) (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) (taylor 0 y) (#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<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 #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<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>) () ())) ()) |
126 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | inf | (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) |
| 3.0ms | x | @ | 0 | (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) |
| 2.0ms | y | @ | -inf | (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) |
| 1.0ms | z | @ | 0 | (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) |
| 1.0ms | y | @ | 0 | (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) |
| 1× | egg-herbie |
| 7 984× | lower-fma.f64 |
| 7 984× | lower-fma.f32 |
| 4 862× | lower-*.f64 |
| 4 862× | lower-*.f32 |
| 3 372× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 530 | 5808 |
| 1 | 1637 | 5657 |
| 2 | 5030 | 5251 |
| 0 | 8129 | 4784 |
| 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))) |
(+ x z) |
(+ x (+ z (* -1/2 (* (pow y 2) z)))) |
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))) |
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
x |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(* z (cos y)) |
(* z (+ (cos y) (/ x z))) |
(* z (+ (cos y) (/ x z))) |
(* z (+ (cos y) (/ x z))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z))))) |
(* z (cos y)) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
x |
(* x (+ 1 (/ (* z (cos y)) x))) |
(* x (+ 1 (/ (* z (cos y)) x))) |
(* x (+ 1 (/ (* z (cos y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* 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) |
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)))) |
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(+ (* 1/2 (cos (* 2 y))) (pow x 2)) |
(+ (* 1/2 (cos (* 2 y))) (pow x 2)) |
(+ (* 1/2 (cos (* 2 y))) (pow x 2)) |
(+ (* 1/2 (cos (* 2 y))) (pow x 2)) |
(+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2)) |
(+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2)) |
(+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2)) |
(+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2)) |
(* 1/2 (cos (* 2 y))) |
(+ (* 1/2 (cos (* 2 y))) (pow x 2)) |
(+ (* 1/2 (cos (* 2 y))) (pow x 2)) |
(+ (* 1/2 (cos (* 2 y))) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
z |
(+ 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)) |
| Outputs |
|---|
(+ x z) |
(+.f64 z x) |
(+ x (+ y z)) |
(+.f64 (+.f64 y x) z) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z) |
(+ (sin y) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal 1 binary64)) x) |
(+ x z) |
(+.f64 z x) |
(+ x (+ z (* -1/2 (* (pow y 2) z)))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z x) |
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))) |
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) (+.f64 z x)) |
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))) |
(fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) (+.f64 z x)) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
x |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (/ x z))) |
(*.f64 (+.f64 (/.f64 x z) (cos.f64 y)) z) |
(* z (+ (cos y) (/ x z))) |
(*.f64 (+.f64 (/.f64 x z) (cos.f64 y)) z) |
(* z (+ (cos y) (/ x z))) |
(*.f64 (+.f64 (/.f64 x z) (cos.f64 y)) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z))))) |
(*.f64 (+.f64 (/.f64 x z) (cos.f64 y)) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z))))) |
(*.f64 (+.f64 (/.f64 x z) (cos.f64 y)) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z))))) |
(*.f64 (+.f64 (/.f64 x z) (cos.f64 y)) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
x |
(* x (+ 1 (/ (* z (cos y)) x))) |
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) |
(* x (+ 1 (/ (* z (cos y)) x))) |
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) |
(* x (+ 1 (/ (* z (cos y)) x))) |
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) |
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) |
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(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) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(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) |
(+ (sin y) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal 1 binary64)) x) |
(+ x z) |
(+.f64 z x) |
(+ x (+ y z)) |
(+.f64 (+.f64 y x) z) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z) |
z |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
x |
(* x (+ 1 (/ z x))) |
(fma.f64 (/.f64 z x) x x) |
(* x (+ 1 (/ z x))) |
(fma.f64 (/.f64 z x) x x) |
(* x (+ 1 (/ z x))) |
(fma.f64 (/.f64 z x) x x) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(fma.f64 (/.f64 z x) x x) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(fma.f64 (/.f64 z x) x x) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(fma.f64 (/.f64 z x) x x) |
x |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
z |
(* z (+ 1 (/ x z))) |
(fma.f64 (/.f64 x z) z z) |
(* z (+ 1 (/ x z))) |
(fma.f64 (/.f64 x z) z z) |
(* z (+ 1 (/ x z))) |
(fma.f64 (/.f64 x z) z z) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(fma.f64 (/.f64 x z) z z) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(fma.f64 (/.f64 x z) z z) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(fma.f64 (/.f64 x z) z z) |
(+ (sin y) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal 1 binary64)) x) |
(+ x z) |
(+.f64 z x) |
(+ x (+ y z)) |
(+.f64 (+.f64 y x) z) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
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(cos y) |
(cos.f64 y) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
| 4 968× | lower-*.f32 |
| 4 960× | lower-*.f64 |
| 4 020× | lower-/.f32 |
| 4 018× | lower-/.f64 |
| 3 150× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 172 |
| 0 | 63 | 145 |
| 1 | 269 | 142 |
| 2 | 2346 | 142 |
| 0 | 8568 | 141 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) |
(fma.f64 (cos.f64 y) z x) |
(cos.f64 y) |
(sin.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
(+.f64 x z) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z)) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(+.f64 x (sin.f64 y)) |
(*.f64 z #s(approx (cos y) #s(literal 1 binary64))) |
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x)) |
(-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 z (cos.f64 y)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (-.f64 x (sin.f64 y))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
(*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 2 binary64))))) |
(pow.f64 (/.f64 (-.f64 (+.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 z (cos.f64 y) (-.f64 x (sin.f64 y))) (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)))) |
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.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 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) (neg.f64 (neg.f64 (fma.f64 z (cos.f64 y) (-.f64 x (sin.f64 y)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) (*.f64 (-.f64 (+.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) (*.f64 (-.f64 (+.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 z (cos.f64 y) (-.f64 x (sin.f64 y)))) (*.f64 (fma.f64 z (cos.f64 y) (-.f64 x (sin.f64 y))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (*.f64 (fma.f64 z (cos.f64 y) (-.f64 x (sin.f64 y))) (fma.f64 z (cos.f64 y) (-.f64 x (sin.f64 y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))) |
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (sin.f64 y) (fma.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 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 x x (-.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 (neg.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) (neg.f64 (-.f64 (+.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (neg.f64 (fma.f64 z (cos.f64 y) (-.f64 x (sin.f64 y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #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 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (+.f64 (sin.f64 y) x) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (cos.f64 y) (-.f64 x (sin.f64 y))) (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (fma.f64 z (cos.f64 y) (-.f64 x (sin.f64 y)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #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 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (+.f64 (sin.f64 y) x) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (-.f64 x (sin.f64 y))) (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (fma.f64 z (cos.f64 y) x) #s(literal 3 binary64))))) |
(fma.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 y) x) (-.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 z (cos.f64 y))) |
(fma.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 y) x) (-.f64 #s(literal 1/8 binary64) (pow.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 z (cos.f64 y))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)))) (+.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))) |
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(-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x x)) |
(-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) |
(+.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) |
(+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) x)) |
(+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (*.f64 x x))) |
(+.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x)))) |
(*.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))) |
(pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (*.f64 x x) x) x))) (pow.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64))) (-.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 x x)))) (neg.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (+.f64 y y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))))) |
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 x x))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x))) |
(/.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (+.f64 y y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) |
(/.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x)) |
(fma.f64 x x (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x)))) |
(+.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
Compiled 33 640 to 2 075 computations (93.8% saved)
26 alts after pruning (24 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 147 | 22 | 1 169 |
| Fresh | 6 | 2 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 156 | 26 | 1 182 |
| Status | Accuracy | Program |
|---|---|---|
| 41.9% | (/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) | |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))) |
| ✓ | 99.9% | (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) |
| 85.8% | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| ▶ | 53.4% | (+.f64 (+.f64 x #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
| 89.7% | (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) | |
| 85.9% | (+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) (sin.f64 y)) | |
| 54.0% | (+.f64 #s(approx (+ x (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y x)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| 54.2% | #s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (fma.f64 (cos.f64 y) z (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 y)))) | |
| ▶ | 63.2% | #s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
| 40.0% | #s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (*.f64 (cos.f64 y) z)) | |
| 57.3% | #s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x))) | |
| ▶ | 58.0% | #s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
| 62.0% | #s(approx (+ (+ (* (cos y) z) x) (sin y)) (+.f64 (sin.f64 y) x)) | |
| 88.9% | #s(approx (+ (+ (* (cos y) z) x) (sin y)) (*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)) | |
| 31.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 #s(literal -1/6 binary64) y)))))) y #s(literal 1 binary64)) y (+.f64 x z))) | |
| ▶ | 54.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z))) |
| 36.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (-.f64 x z))) | |
| 36.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))))) | |
| ✓ | 67.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
| 36.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 x z)))) | |
| 32.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) | |
| 25.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) | |
| 2.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) | |
| 61.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 z x) x x))) | |
| 56.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 x z) z z))) |
Compiled 816 to 449 computations (45% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) z (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (cos.f64 y) z (sin.f64 y))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | (+.f64 x #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) | |
| cost-diff | 128 | (+.f64 (+.f64 x #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z))) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (+.f64 (+.f64 y x) z) | |
| cost-diff | 0 | #s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))) |
| 7 340× | lower-fma.f32 |
| 7 328× | lower-fma.f64 |
| 3 094× | lower-*.f32 |
| 3 084× | lower-*.f64 |
| 2 118× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 340 |
| 0 | 85 | 334 |
| 1 | 153 | 334 |
| 2 | 280 | 334 |
| 3 | 515 | 330 |
| 4 | 1179 | 330 |
| 5 | 2432 | 330 |
| 6 | 3739 | 330 |
| 7 | 4822 | 330 |
| 8 | 5322 | 330 |
| 9 | 5567 | 330 |
| 10 | 5837 | 330 |
| 11 | 7776 | 330 |
| 0 | 8287 | 316 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(cos.f64 y) |
y |
z |
(+.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
(+.f64 (+.f64 y x) z) |
(+.f64 y x) |
y |
x |
z |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z))) |
(fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z)) |
#s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 y z) #s(literal -1/2 binary64)) |
(*.f64 y z) |
y |
z |
#s(literal -1/2 binary64) |
(+.f64 x z) |
x |
(+.f64 (+.f64 x #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(+.f64 x #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
x |
#s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 z #s(approx (cos y) #s(literal 1 binary64))) |
z |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(cos.f64 y) |
y |
z |
(sin.f64 y) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(cos.f64 y) |
y |
z |
(+.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 x y) z)) |
(+.f64 (+.f64 y x) z) |
(+.f64 (+.f64 x y) z) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
z |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 x z))) |
(fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z)) |
(fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 x z)) |
#s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) |
#s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 y z) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 z y) #s(literal -1/2 binary64)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
#s(literal -1/2 binary64) |
(+.f64 x z) |
x |
(+.f64 (+.f64 x #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(+.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z x) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
(+.f64 x #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
(+.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x) |
x |
#s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 z #s(approx (cos y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) |
z |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(cos.f64 y) |
y |
z |
(sin.f64 y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.0859375 | (fma.f64 (cos.f64 y) z (sin.f64 y)) | |
| accuracy | 26.85643166559196 | #s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (cos.f64 y) z (sin.f64 y))) | |
| accuracy | 0.05859375 | (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) | |
| accuracy | 0.12890625 | (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) | |
| accuracy | 28.421401510946204 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 31.35222678342225 | #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) | |
| accuracy | 0.0078125 | (*.f64 (*.f64 y z) #s(literal -1/2 binary64)) | |
| accuracy | 0.0234375 | (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z)) | |
| accuracy | 28.540412924878 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z))) | |
| accuracy | 46.262395662246035 | #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0.00390625 | (+.f64 (+.f64 y x) z) | |
| accuracy | 23.5604544793313 | #s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z)) | |
| accuracy | 0.015625 | (+.f64 (sin.f64 y) x) | |
| accuracy | 0.04296875 | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) | |
| accuracy | 0.0859375 | (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) | |
| accuracy | 0.21484375 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))) |
| 92.0ms | 218× | 0 | valid |
| 54.0ms | 38× | 1 | valid |
Compiled 245 to 53 computations (78.4% saved)
ival-mult: 41.0ms (34.5% of total)ival-add: 27.0ms (22.7% of total)ival-cos: 17.0ms (14.3% of total)const: 10.0ms (8.4% of total)adjust: 9.0ms (7.6% of total)ival-sin: 6.0ms (5% of total)ival-div: 5.0ms (4.2% of total)ival-sub: 2.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z)) (patch #s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z)) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 y x) z) (patch (+.f64 (+.f64 y x) z) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z)) (patch (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) (patch #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y z) #s(literal -1/2 binary64)) (patch (*.f64 (*.f64 y z) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 x #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) (patch (+.f64 (+.f64 x #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) (patch (+.f64 x #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) (patch #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (cos.f64 y) z (sin.f64 y))) (patch #s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (cos.f64 y) z (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (cos.f64 y) z (sin.f64 y)) (patch (fma.f64 (cos.f64 y) z (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (+.f64 (sin.f64 y) x) (patch (+.f64 (sin.f64 y) x) #<representation binary64>) () ()) |
#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x z) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y z)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
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#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1/6 (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/120 (pow y 2)) 1/6) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/5040 (pow y 4)) (taylor inf y) (#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) (taylor inf y) (#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) (taylor inf y) (#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) (taylor inf y) (#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/5040 (pow y 4)) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
141 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | y | @ | inf | (/ 1 (/ 1 (+ (* (cos y) z) (+ (sin y) x)))) |
| 1.0ms | z | @ | inf | (/ 1 (+ (* (cos y) z) (+ (sin y) x))) |
| 1.0ms | y | @ | inf | (/ 1 (+ (* (cos y) z) (+ (sin y) x))) |
| 1.0ms | y | @ | 0 | (/ 1 (+ (* (cos y) z) (+ (sin y) x))) |
| 1.0ms | y | @ | -inf | (/ 1 (+ (* (cos y) z) (+ (sin y) x))) |
| 1× | egg-herbie |
| 7 474× | lower-fma.f64 |
| 7 474× | lower-fma.f32 |
| 5 306× | lower-*.f64 |
| 5 306× | lower-*.f32 |
| 3 636× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 611 | 6406 |
| 1 | 1831 | 6311 |
| 2 | 5740 | 6156 |
| 0 | 8353 | 5712 |
| 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 (+ 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))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (sin y))) |
(+ (* -1 (/ (* z (cos y)) (pow (+ x (sin y)) 2))) (/ 1 (+ x (sin y)))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (pow (+ x (sin y)) 3)) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y)))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (pow (+ x (sin y)) 4))) (* -1 (/ (pow (cos y) 2) (pow (+ x (sin y)) 3))))) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y)))) |
(/ 1 (* z (cos y))) |
(/ (+ (* -1 (/ (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2))) z)) (/ 1 (cos y))) z) |
(/ (- (+ (/ 1 (cos y)) (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2))))) z) |
(/ (- (+ (* -1 (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 3) (pow (cos y) 2)))) (/ 1 (cos y))) (+ (* -1 (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2)))))) z) |
(/ 1 (* z (cos y))) |
(* -1 (/ (- (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (cos y))) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (pow (cos y) 2))) (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (cos y))) z)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z)) |
(/ 1 (+ (sin y) (* z (cos y)))) |
(+ (* -1 (/ x (pow (+ (sin y) (* z (cos y))) 2))) (/ 1 (+ (sin y) (* z (cos y))))) |
(+ (* x (- (/ x (pow (+ (sin y) (* z (cos y))) 3)) (/ 1 (pow (+ (sin y) (* z (cos y))) 2)))) (/ 1 (+ (sin y) (* z (cos y))))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ (sin y) (* z (cos y))) 4))) (/ 1 (pow (+ (sin y) (* z (cos y))) 3)))) (/ 1 (pow (+ (sin y) (* z (cos y))) 2)))) (/ 1 (+ (sin y) (* z (cos y))))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x))) x) |
(/ (- (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (+ (/ (sin y) x) (/ (* z (cos y)) x))) x) |
(/ (- (+ 1 (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (+ (/ (sin y) x) (/ (* z (cos y)) x)))) x) |
(/ 1 x) |
(* -1 (/ (- (+ (/ (sin y) x) (/ (* z (cos y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 2) x) (+ (sin y) (* z (cos y)))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 3) x) (pow (+ (sin y) (* z (cos y))) 2)) x)) (+ (sin y) (* z (cos 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))))))) |
(+ 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) |
(- z (* -1 x)) |
(- (+ y z) (* -1 x)) |
(- (+ z (* y (+ 1 (* y (- (+ (* -1/2 z) (/ 1 x)) (+ (* 1/2 (- (* 2 (/ 1 x)) (/ 1 (pow x 3)))) (* 1/2 (/ 1 (pow x 3))))))))) (* -1 x)) |
(- (+ z (* y (+ 1 (* y (- (+ (* -1/2 z) (+ (* y (- (+ (* 1/2 (- (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) (/ 1 (pow x 2))) (+ 1/6 (* 1/2 (- (* 1/6 (/ 1 (pow x 2))) (* -1 (/ (- (* 2 (/ 1 x)) (/ 1 (pow x 3))) x))))))) (/ 1 x))) (+ (* 1/2 (- (* 2 (/ 1 x)) (/ 1 (pow x 3)))) (* 1/2 (/ 1 (pow x 3))))))))) (* -1 x)) |
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(- (+ (* 1/2 (/ 1 (sin y))) (* z (cos y))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) |
(- (+ (* 1/2 (/ 1 (sin y))) (+ (* x (- (* 1/2 (/ 1 (pow (sin y) 2))) (* 1/2 (/ (cos (* 2 y)) (pow (sin y) 2))))) (* z (cos y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) |
(- (+ (* 1/2 (/ 1 (sin y))) (+ (* x (- (+ (* 1/2 (/ 1 (pow (sin y) 2))) (* x (- (* 1/2 (/ 1 (pow (sin y) 3))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (sin y) 3))) (/ 1 (sin y)))))) (* 1/2 (/ (cos (* 2 y)) (pow (sin y) 2))))) (* z (cos y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) |
(- (+ (* 1/2 (/ 1 (sin y))) (+ (* x (- (+ (* 1/2 (/ 1 (pow (sin y) 2))) (* x (- (+ (* 1/2 (/ 1 (pow (sin y) 3))) (* x (- (* 1/2 (/ 1 (pow (sin y) 4))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (sin y) 4))) (/ 1 (pow (sin y) 2)))))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (sin y) 3))) (/ 1 (sin y)))))) (* 1/2 (/ (cos (* 2 y)) (pow (sin y) 2))))) (* z (cos y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (- (+ 1 (+ (/ (sin y) x) (+ (/ (* z (cos y)) x) (/ (pow (sin y) 2) (pow x 2))))) (+ (* -1/2 (/ (cos (* 2 y)) (pow x 2))) (/ 1/2 (pow x 2))))) |
(* x (- (+ 1 (+ (* -1/2 (/ (sin y) (pow x 3))) (+ (/ (sin y) x) (+ (/ (* z (cos y)) x) (+ (/ (pow (sin y) 2) (pow x 2)) (/ (pow (sin y) 3) (pow x 3))))))) (+ (* -1/2 (/ (cos (* 2 y)) (pow x 2))) (+ (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (pow x 3))) (/ 1/2 (pow x 2)))))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (+ (* -1 (/ (- (+ 1/2 (* -1 (pow (sin y) 2))) (* 1/2 (cos (* 2 y)))) x)) (* z (cos y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (+ (* -1 (/ (- (+ 1/2 (+ (* -1 (/ (- (+ (* -1/2 (sin y)) (pow (sin y) 3)) (* -1/2 (* (cos (* 2 y)) (sin y)))) x)) (* -1 (pow (sin y) 2)))) (* 1/2 (cos (* 2 y)))) x)) (* z (cos y)))) x)) 1))) |
(- (* 1/2 (/ 1 (- (sin y) x))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(* z (cos y)) |
(* z (- (+ (cos y) (/ 1/2 (* z (- (sin y) x)))) (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (sin y) x)))) (/ (pow x 2) (* z (- (sin y) x)))))) |
(* z (- (+ (cos y) (/ 1/2 (* z (- (sin y) x)))) (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (sin y) x)))) (/ (pow x 2) (* z (- (sin y) x)))))) |
(* z (- (+ (cos y) (/ 1/2 (* z (- (sin y) x)))) (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (sin y) x)))) (/ (pow x 2) (* z (- (sin y) x)))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (* 1/2 (/ 1 (- (sin y) x))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (* 1/2 (/ 1 (- (sin y) x))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (* 1/2 (/ 1 (- (sin y) x))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) z))))) |
(+ 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))) |
(+ 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 |
(+ 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))) |
(+ (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 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* 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)) |
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) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* -1/5040 (pow y 7)) |
(* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 7) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* -1/5040 (pow y 7)) |
(* -1 (* (pow y 7) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))) |
(* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2)))))) |
(* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(+ 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))) |
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) |
(+ (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))))) |
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) |
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)) |
(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))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (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)) |
-1/6 |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6) |
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6) |
(* -1/5040 (pow y 4)) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* -1/5040 (pow y 4)) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
| Outputs |
|---|
(+ x z) |
(+.f64 z x) |
(+ x (+ y z)) |
(+.f64 (+.f64 y x) z) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z) |
(+ (sin y) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
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(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
x |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x)) (neg.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) y) y (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow y 2)) 1/6) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) |
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) |
(* -1/5040 (pow y 4)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) y) y) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64))) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y y))) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y y))) |
(* -1/5040 (pow y 4)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) y) y) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64))) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y y))) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y y))) |
| 6 512× | lower-*.f32 |
| 6 502× | lower-*.f64 |
| 5 160× | lower-fma.f32 |
| 5 148× | lower-fma.f64 |
| 3 728× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 285 |
| 0 | 85 | 279 |
| 1 | 432 | 265 |
| 2 | 3709 | 265 |
| 0 | 10142 | 258 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(cos.f64 y) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
(+.f64 (+.f64 y x) z) |
(+.f64 y x) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z))) |
(fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z)) |
#s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 y z) #s(literal -1/2 binary64)) |
(+.f64 (+.f64 x #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(+.f64 x #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
#s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(sin.f64 y) |
(+.f64 (sin.f64 y) x) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 z #s(approx (cos y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (cos.f64 y) z (neg.f64 x)) (sin.f64 y)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (-.f64 x (sin.f64 y))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (fma.f64 (cos.f64 y) z (neg.f64 x)) (sin.f64 y)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (sin.f64 y) x) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (cos.f64 y) z (neg.f64 x)) (sin.f64 y))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (-.f64 x (sin.f64 y)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (fma.f64 (cos.f64 y) z (neg.f64 x)) (sin.f64 y)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (sin.f64 y) x) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) |
(*.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (cos.f64 y) z (neg.f64 x)) (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 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (-.f64 x (sin.f64 y))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (fma.f64 (cos.f64 y) z (neg.f64 x)) (sin.f64 y)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (sin.f64 y) x) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))) |
(*.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 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64))))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))) |
(*.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (cos.f64 y) z (neg.f64 x)) (sin.f64 y)) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (cos.f64 y) z (-.f64 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 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (fma.f64 (cos.f64 y) z (neg.f64 x)) (sin.f64 y)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (sin.f64 y) x) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y)) y #s(literal -1/36 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y)) y (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y) (*.f64 #s(literal -1/6 binary64) y)))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y)) (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y) #s(literal -1/6 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y)) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y) y) #s(literal -1/6 binary64)) |
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y) y)) |
Compiled 26 982 to 2 051 computations (92.4% saved)
39 alts after pruning (34 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 080 | 20 | 1 100 |
| Fresh | 5 | 14 | 19 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 087 | 39 | 1 126 |
| Status | Accuracy | Program |
|---|---|---|
| 53.4% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x)) | |
| 41.9% | (/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) | |
| 52.6% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| ✓ | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))) |
| 52.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) | |
| 63.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 (+.f64 y x) z)))) | |
| 61.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 (sin.f64 y) x)))) | |
| 67.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 z x)))) | |
| 39.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z)))) | |
| 55.1% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (-.f64 x (sin.f64 y)))) #s(literal -1 binary64)))) | |
| 43.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (/.f64 #s(literal 1 binary64) x))) | |
| 61.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 y (*.f64 (+.f64 z x) (+.f64 z x)))))) | |
| ✓ | 99.9% | (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) |
| ▶ | 89.7% | (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) |
| ▶ | 85.9% | (+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) (sin.f64 y)) |
| 54.0% | (+.f64 #s(approx (+ x (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y x)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| 62.0% | #s(approx (/ 1 (/ 1 (+ (* (cos y) z) (+ (sin y) x)))) (+.f64 (sin.f64 y) x)) | |
| 88.9% | #s(approx (/ 1 (/ 1 (+ (* (cos y) z) (+ (sin y) x)))) (*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)) | |
| 40.0% | #s(approx (/ 1 (/ 1 (+ (* (cos y) z) (+ (sin y) x)))) (*.f64 (cos.f64 y) z)) | |
| 40.9% | #s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)) z)) | |
| 54.2% | #s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (fma.f64 (cos.f64 y) z (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 y)))) | |
| 29.8% | #s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y z))) | |
| ▶ | 40.1% | #s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x))) |
| 42.0% | #s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y))))) | |
| ✓ | 58.0% | #s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
| ▶ | 29.2% | #s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))) |
| 20.6% | #s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y))) | |
| 31.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 #s(literal -1/6 binary64) y)))))) y #s(literal 1 binary64)) y (+.f64 x z))) | |
| ✓ | 54.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z))) |
| 36.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (-.f64 x z))) | |
| ▶ | 36.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))))) |
| ✓ | 67.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
| 36.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 x z)))) | |
| 32.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) | |
| 25.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) | |
| 2.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) | |
| 2.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))) | |
| 61.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 z x) x x))) | |
| 56.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 x z) z z))) |
Compiled 1 184 to 661 computations (44.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (+.f64 z x) | |
| cost-diff | 0 | #s(approx (+ (* (cos y) z) x) (+.f64 z x)) | |
| cost-diff | 0 | (+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) (sin.f64 y)) | |
| cost-diff | 0 | (-.f64 x z) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))))) | |
| cost-diff | 704 | (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) | |
| cost-diff | 0 | #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)) | |
| cost-diff | 0 | #s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (+ y x) z) (+.f64 y x)) | |
| cost-diff | 0 | #s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x))) | |
| cost-diff | 0 | (/.f64 (*.f64 (cos.f64 y) z) x) | |
| cost-diff | 0 | #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) | |
| cost-diff | 0 | (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) | |
| cost-diff | 1024 | (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) |
| 12 492× | lower-fma.f32 |
| 12 486× | lower-fma.f64 |
| 4 332× | lower-*.f32 |
| 4 326× | lower-*.f64 |
| 1 818× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 267 |
| 0 | 75 | 287 |
| 1 | 135 | 287 |
| 2 | 246 | 246 |
| 3 | 566 | 232 |
| 4 | 1239 | 232 |
| 5 | 6673 | 232 |
| 0 | 8334 | 218 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) |
#s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) |
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) |
(/.f64 (*.f64 (cos.f64 y) z) x) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
x |
(sin.f64 y) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x))) |
#s(approx (+ (+ y x) z) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))) |
#s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)) |
(fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) |
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 y z) |
y |
z |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))) |
(-.f64 x z) |
x |
z |
(*.f64 (+.f64 x z) (-.f64 x z)) |
(+.f64 x z) |
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) (sin.f64 y)) |
#s(approx (+ (* (cos y) z) x) (+.f64 z x)) |
(+.f64 z x) |
z |
x |
(sin.f64 y) |
y |
| Outputs |
|---|
(+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) |
(+.f64 (sin.f64 y) #s(approx (+ (* (cos y) z) x) (fma.f64 (cos.f64 y) z x))) |
#s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) |
#s(approx (+ (* (cos y) z) x) (fma.f64 (cos.f64 y) z x)) |
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) |
(fma.f64 (cos.f64 y) z x) |
(/.f64 (*.f64 (cos.f64 y) z) x) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
x |
(sin.f64 y) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 x y))) |
#s(approx (+ (+ y x) z) (+.f64 y x)) |
#s(approx (+ (+ y x) z) (+.f64 x y)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) y z))) |
#s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)) |
#s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) y z)) |
(fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) y z) |
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (+.f64 x z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))) |
(+.f64 x z) |
#s(literal 1 binary64) |
(/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))) |
(/.f64 #s(literal 1 binary64) (+.f64 x z)) |
(-.f64 x z) |
x |
z |
(*.f64 (+.f64 x z) (-.f64 x z)) |
(+.f64 x z) |
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) (sin.f64 y)) |
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 x z)) (sin.f64 y)) |
#s(approx (+ (* (cos y) z) x) (+.f64 z x)) |
#s(approx (+ (* (cos y) z) x) (+.f64 x z)) |
(+.f64 z x) |
(+.f64 x z) |
z |
x |
(sin.f64 y) |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 z x) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.01171875 | (+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) (sin.f64 y)) | |
| accuracy | 12.80238297871681 | #s(approx (+ (* (cos y) z) x) (+.f64 z x)) | |
| accuracy | 0 | (*.f64 (+.f64 x z) (-.f64 x z)) | |
| accuracy | 0.1953125 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))) | |
| accuracy | 20.561564073717864 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))))) | |
| accuracy | 30.04571771598587 | (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))) | |
| accuracy | 0 | (*.f64 y z) | |
| accuracy | 0.03515625 | (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) | |
| accuracy | 26.85643166559196 | #s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))) | |
| accuracy | 31.21060204084659 | #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 19.527772319501842 | #s(approx (+ (+ y x) z) (+.f64 y x)) | |
| accuracy | 23.5604544793313 | #s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x))) | |
| accuracy | 0.01171875 | (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) | |
| accuracy | 0.12109375 | (/.f64 (*.f64 (cos.f64 y) z) x) | |
| accuracy | 0.12890625 | (*.f64 (cos.f64 y) z) | |
| accuracy | 6.59703493512364 | (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) |
| 105.0ms | 218× | 0 | valid |
| 23.0ms | 38× | 1 | valid |
Compiled 189 to 42 computations (77.8% saved)
ival-cos: 30.0ms (31.5% of total)ival-sin: 18.0ms (18.9% of total)ival-add: 17.0ms (17.9% of total)ival-mult: 14.0ms (14.7% of total)ival-div: 7.0ms (7.4% of total)ival-sub: 4.0ms (4.2% of total)adjust: 4.0ms (4.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (patch #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (cos.f64 y) z) x) (patch (/.f64 (*.f64 (cos.f64 y) z) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x))) (patch #s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ y x) z) (+.f64 y x)) (patch #s(approx (+ (+ y x) z) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))) (patch #s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)) (patch #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) (patch (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))) (patch (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))))) #<representation binary64>) () ()) |
#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (cos y) z) x) (+.f64 z x)) (patch #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #<representation binary64>) () ()) |
#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 x z) (-.f64 x z)) (patch (*.f64 (+.f64 x z) (-.f64 x z)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x z) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ z (* -1/2 (* (pow y 2) z)))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* z (cos y))) (taylor inf y) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* z (cos y))) (taylor inf y) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* z (cos y))) (taylor inf y) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* z (cos y))) (taylor inf y) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* z (cos y))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* z (cos y))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* z (cos y))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* z (cos y))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z))))) (taylor -inf z) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z))))) (taylor -inf z) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z))))) (taylor -inf z) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* z (cos y))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* z (cos y))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* z (cos y))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) (patch (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 y) (#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y z)) (taylor 0 y) (#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) (taylor 0 y) (#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) (taylor 0 y) (#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) (patch (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) #<representation binary64>) () ())) ()) |
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#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor 0 x) (#s(alt (*.f64 (+.f64 x z) (-.f64 x z)) (patch (*.f64 (+.f64 x z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow z 2)) (* x (+ z (* -1 z)))) (taylor 0 x) (#s(alt (*.f64 (+.f64 x z) (-.f64 x z)) (patch (*.f64 (+.f64 x z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow z 2)) (* x (+ x (+ z (* -1 z))))) (taylor 0 x) (#s(alt (*.f64 (+.f64 x z) (-.f64 x z)) (patch (*.f64 (+.f64 x z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow z 2)) (* x (+ x (+ z (* -1 z))))) (taylor 0 x) (#s(alt (*.f64 (+.f64 x z) (-.f64 x z)) (patch (*.f64 (+.f64 x z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 (+.f64 x z) (-.f64 x z)) (patch (*.f64 (+.f64 x z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (/ z x)))) (taylor inf x) (#s(alt (*.f64 (+.f64 x z) (-.f64 x z)) (patch (*.f64 (+.f64 x z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x))))) (taylor inf x) (#s(alt (*.f64 (+.f64 x z) (-.f64 x z)) (patch (*.f64 (+.f64 x z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x))))) (taylor inf x) (#s(alt (*.f64 (+.f64 x z) (-.f64 x z)) (patch (*.f64 (+.f64 x z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 (+.f64 x z) (-.f64 x z)) (patch (*.f64 (+.f64 x z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (/ z x)))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x z) (-.f64 x z)) (patch (*.f64 (+.f64 x z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (/ (pow z 2) x)) x)))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x z) (-.f64 x z)) (patch (*.f64 (+.f64 x z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (/ (pow z 2) x)) x)))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x z) (-.f64 x z)) (patch (*.f64 (+.f64 x z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 z) (#s(alt (*.f64 (+.f64 x z) (-.f64 x z)) (patch (*.f64 (+.f64 x z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (+ x (* -1 x))) (pow x 2)) (taylor 0 z) (#s(alt (*.f64 (+.f64 x z) (-.f64 x z)) (patch (*.f64 (+.f64 x z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (+ x (+ (* -1 x) (* -1 z)))) (pow x 2)) (taylor 0 z) (#s(alt (*.f64 (+.f64 x z) (-.f64 x z)) (patch (*.f64 (+.f64 x z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (+ x (+ (* -1 x) (* -1 z)))) (pow x 2)) (taylor 0 z) (#s(alt (*.f64 (+.f64 x z) (-.f64 x z)) (patch (*.f64 (+.f64 x z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor inf z) (#s(alt (*.f64 (+.f64 x z) (-.f64 x z)) (patch (*.f64 (+.f64 x z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (+ (* -1 (/ x z)) (/ x z)) 1)) (taylor inf z) (#s(alt (*.f64 (+.f64 x z) (-.f64 x z)) (patch (*.f64 (+.f64 x z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (+ (* -1 (/ x z)) (+ (/ x z) (/ (pow x 2) (pow z 2)))) 1)) (taylor inf z) (#s(alt (*.f64 (+.f64 x z) (-.f64 x z)) (patch (*.f64 (+.f64 x z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (+ (* -1 (/ x z)) (+ (/ x z) (/ (pow x 2) (pow z 2)))) 1)) (taylor inf z) (#s(alt (*.f64 (+.f64 x z) (-.f64 x z)) (patch (*.f64 (+.f64 x z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor -inf z) (#s(alt (*.f64 (+.f64 x z) (-.f64 x z)) (patch (*.f64 (+.f64 x z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (* -1 (/ (+ x (* -1 x)) z)) 1)) (taylor -inf z) (#s(alt (*.f64 (+.f64 x z) (-.f64 x z)) (patch (*.f64 (+.f64 x z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) z)))) z)) 1)) (taylor -inf z) (#s(alt (*.f64 (+.f64 x z) (-.f64 x z)) (patch (*.f64 (+.f64 x z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) z)))) z)) 1)) (taylor -inf z) (#s(alt (*.f64 (+.f64 x z) (-.f64 x z)) (patch (*.f64 (+.f64 x z) (-.f64 x z)) #<representation binary64>) () ())) ()) |
159 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | x | @ | -inf | (+ y x) |
| 5.0ms | x | @ | inf | (/ (* (cos y) z) x) |
| 1.0ms | x | @ | 0 | (/ (* (cos y) z) x) |
| 0.0ms | z | @ | inf | (/ (* (cos y) z) x) |
| 0.0ms | z | @ | 0 | (/ (* (cos y) z) x) |
| 1× | egg-herbie |
| 7 124× | lower-fma.f64 |
| 7 124× | lower-fma.f32 |
| 4 464× | lower-*.f64 |
| 4 464× | lower-*.f32 |
| 3 266× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 552 | 5822 |
| 1 | 1698 | 5653 |
| 2 | 4955 | 5497 |
| 0 | 8285 | 5089 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x z) |
(+ x (+ z (* -1/2 (* (pow y 2) z)))) |
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))) |
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
x |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(* z (cos y)) |
(* z (+ (cos y) (/ x z))) |
(* z (+ (cos y) (/ x z))) |
(* z (+ (cos y) (/ x z))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z))))) |
(* z (cos y)) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
x |
(* x (+ 1 (/ (* z (cos y)) x))) |
(* x (+ 1 (/ (* z (cos y)) x))) |
(* x (+ 1 (/ (* z (cos y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* 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) (* 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 (+ z (* -1/2 (* (pow y 2) z)))) |
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))) |
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
x |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(* z (cos y)) |
(* z (+ (cos y) (/ x z))) |
(* z (+ (cos y) (/ x z))) |
(* z (+ (cos y) (/ x z))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z))))) |
(* z (cos y)) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
x |
(* x (+ 1 (/ (* z (cos y)) x))) |
(* x (+ 1 (/ (* z (cos y)) x))) |
(* x (+ 1 (/ (* z (cos y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1))) |
(/ z x) |
(+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x)) |
(+ (* (pow y 2) (+ (* -1/2 (/ z x)) (* 1/24 (/ (* (pow y 2) z) x)))) (/ z x)) |
(+ (* (pow y 2) (+ (* -1/2 (/ z x)) (* (pow y 2) (+ (* -1/720 (/ (* (pow y 2) z) x)) (* 1/24 (/ z x)))))) (/ z x)) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(- z (* -1 x)) |
(- (+ y z) (* -1 x)) |
(- (+ z (* y (+ 1 (* y (- (+ (* -1/2 z) (/ 1 x)) (+ (* 1/2 (- (* 2 (/ 1 x)) (/ 1 (pow x 3)))) (* 1/2 (/ 1 (pow x 3))))))))) (* -1 x)) |
(- (+ z (* y (+ 1 (* y (- (+ (* -1/2 z) (+ (* y (- (+ (* 1/2 (- (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) (/ 1 (pow x 2))) (+ 1/6 (* 1/2 (- (* 1/6 (/ 1 (pow x 2))) (* -1 (/ (- (* 2 (/ 1 x)) (/ 1 (pow x 3))) x))))))) (/ 1 x))) (+ (* 1/2 (- (* 2 (/ 1 x)) (/ 1 (pow x 3)))) (* 1/2 (/ 1 (pow x 3))))))))) (* -1 x)) |
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(- (+ (* 1/2 (/ 1 (sin y))) (* z (cos y))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) |
(- (+ (* 1/2 (/ 1 (sin y))) (+ (* x (- (* 1/2 (/ 1 (pow (sin y) 2))) (* 1/2 (/ (cos (* 2 y)) (pow (sin y) 2))))) (* z (cos y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) |
(- (+ (* 1/2 (/ 1 (sin y))) (+ (* x (- (+ (* 1/2 (/ 1 (pow (sin y) 2))) (* x (- (* 1/2 (/ 1 (pow (sin y) 3))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (sin y) 3))) (/ 1 (sin y)))))) (* 1/2 (/ (cos (* 2 y)) (pow (sin y) 2))))) (* z (cos y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) |
(- (+ (* 1/2 (/ 1 (sin y))) (+ (* x (- (+ (* 1/2 (/ 1 (pow (sin y) 2))) (* x (- (+ (* 1/2 (/ 1 (pow (sin y) 3))) (* x (- (* 1/2 (/ 1 (pow (sin y) 4))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (sin y) 4))) (/ 1 (pow (sin y) 2)))))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (sin y) 3))) (/ 1 (sin y)))))) (* 1/2 (/ (cos (* 2 y)) (pow (sin y) 2))))) (* z (cos y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (- (+ 1 (+ (/ (sin y) x) (+ (/ (* z (cos y)) x) (/ (pow (sin y) 2) (pow x 2))))) (+ (* -1/2 (/ (cos (* 2 y)) (pow x 2))) (/ 1/2 (pow x 2))))) |
(* x (- (+ 1 (+ (* -1/2 (/ (sin y) (pow x 3))) (+ (/ (sin y) x) (+ (/ (* z (cos y)) x) (+ (/ (pow (sin y) 2) (pow x 2)) (/ (pow (sin y) 3) (pow x 3))))))) (+ (* -1/2 (/ (cos (* 2 y)) (pow x 2))) (+ (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (pow x 3))) (/ 1/2 (pow x 2)))))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (+ (* -1 (/ (- (+ 1/2 (* -1 (pow (sin y) 2))) (* 1/2 (cos (* 2 y)))) x)) (* z (cos y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (+ (* -1 (/ (- (+ 1/2 (+ (* -1 (/ (- (+ (* -1/2 (sin y)) (pow (sin y) 3)) (* -1/2 (* (cos (* 2 y)) (sin y)))) x)) (* -1 (pow (sin y) 2)))) (* 1/2 (cos (* 2 y)))) x)) (* z (cos y)))) x)) 1))) |
(- (* 1/2 (/ 1 (- (sin y) x))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(* z (cos y)) |
(* z (- (+ (cos y) (/ 1/2 (* z (- (sin y) x)))) (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (sin y) x)))) (/ (pow x 2) (* z (- (sin y) x)))))) |
(* z (- (+ (cos y) (/ 1/2 (* z (- (sin y) x)))) (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (sin y) x)))) (/ (pow x 2) (* z (- (sin y) x)))))) |
(* z (- (+ (cos y) (/ 1/2 (* z (- (sin y) x)))) (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (sin y) x)))) (/ (pow x 2) (* z (- (sin y) x)))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (* 1/2 (/ 1 (- (sin y) x))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (* 1/2 (/ 1 (- (sin y) x))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (* 1/2 (/ 1 (- (sin y) x))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) z))))) |
(+ 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))) |
(+ 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 |
(+ 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))) |
(+ 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))) |
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) |
(+ (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 (* -1/2 (* y z))))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (/ z (pow y 2))))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (/ z (pow y 2))))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ z y)) 1) y)) (* -1/2 z))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ z y)) 1) y)) (* -1/2 z))) |
y |
(+ y (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ y (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ y (* z (+ 1 (* -1/2 (pow y 2))))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ y z)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ y z)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ y z)))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ y z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ y z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ y z)) (* 1/2 (pow y 2))) 1))) |
1 |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* -1/2 (* y z))) |
(* -1/2 (* y z)) |
(* y (+ (* -1/2 z) (/ 1 y))) |
(* y (+ (* -1/2 z) (/ 1 y))) |
(* y (+ (* -1/2 z) (/ 1 y))) |
(* -1/2 (* y z)) |
(* -1 (* y (- (* 1/2 z) (/ 1 y)))) |
(* -1 (* y (- (* 1/2 z) (/ 1 y)))) |
(* -1 (* y (- (* 1/2 z) (/ 1 y)))) |
1 |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* -1/2 (* y z))) |
(* -1/2 (* y z)) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(* -1/2 (* y z)) |
(* -1 (* z (- (* 1/2 y) (/ 1 z)))) |
(* -1 (* z (- (* 1/2 y) (/ 1 z)))) |
(* -1 (* z (- (* 1/2 y) (/ 1 z)))) |
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))) |
(/ 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)) |
(/ 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)) |
(+ (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 z) |
(- x z) |
(- x z) |
(- x z) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
x |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
x |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(* -1 z) |
(* z (- (/ x z) 1)) |
(* z (- (/ x z) 1)) |
(* z (- (/ x z) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ x 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)))) |
(+ 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))) |
(+ x z) |
(+ x (+ z (* -1/2 (* (pow y 2) z)))) |
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))) |
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
x |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(* z (cos y)) |
(* z (+ (cos y) (/ x z))) |
(* z (+ (cos y) (/ x z))) |
(* z (+ (cos y) (/ x z))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z))))) |
(* z (cos y)) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
x |
(* x (+ 1 (/ (* z (cos y)) x))) |
(* x (+ 1 (/ (* z (cos y)) x))) |
(* x (+ 1 (/ (* z (cos y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (cos y)) 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))) |
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))) |
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 |
(+ 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)) |
(* 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)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -1 (pow z 2)) |
(+ (* -1 (pow z 2)) (* x (+ z (* -1 z)))) |
(+ (* -1 (pow z 2)) (* x (+ x (+ z (* -1 z))))) |
(+ (* -1 (pow z 2)) (* x (+ x (+ z (* -1 z))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (/ z x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x))))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (/ z x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (/ (pow z 2) x)) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (/ (pow z 2) x)) x)))) |
(pow x 2) |
(+ (* z (+ x (* -1 x))) (pow x 2)) |
(+ (* z (+ x (+ (* -1 x) (* -1 z)))) (pow x 2)) |
(+ (* z (+ x (+ (* -1 x) (* -1 z)))) (pow x 2)) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (+ (* -1 (/ x z)) (/ x z)) 1)) |
(* (pow z 2) (- (+ (* -1 (/ x z)) (+ (/ x z) (/ (pow x 2) (pow z 2)))) 1)) |
(* (pow z 2) (- (+ (* -1 (/ x z)) (+ (/ x z) (/ (pow x 2) (pow z 2)))) 1)) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (* -1 (/ (+ x (* -1 x)) z)) 1)) |
(* (pow z 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) z)))) z)) 1)) |
(* (pow z 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) z)))) z)) 1)) |
| Outputs |
|---|
(+ x z) |
(+.f64 z x) |
(+ x (+ z (* -1/2 (* (pow y 2) z)))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z x) |
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))) |
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) (+.f64 z x)) |
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))) |
(fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) (+.f64 z x)) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
x |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (/ x z))) |
(*.f64 (+.f64 (/.f64 x z) (cos.f64 y)) z) |
(* z (+ (cos y) (/ x z))) |
(*.f64 (+.f64 (/.f64 x z) (cos.f64 y)) z) |
(* z (+ (cos y) (/ x z))) |
(*.f64 (+.f64 (/.f64 x z) (cos.f64 y)) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z))))) |
(*.f64 (+.f64 (/.f64 x z) (cos.f64 y)) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z))))) |
(*.f64 (+.f64 (/.f64 x z) (cos.f64 y)) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z))))) |
(*.f64 (+.f64 (/.f64 x z) (cos.f64 y)) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
x |
(* x (+ 1 (/ (* z (cos y)) x))) |
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) |
(* x (+ 1 (/ (* z (cos y)) x))) |
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) |
(* x (+ 1 (/ (* z (cos y)) x))) |
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) |
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) |
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) |
(+ x z) |
(+.f64 z x) |
(+ x (+ y z)) |
(+.f64 (+.f64 y x) z) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
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(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z x) |
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))) |
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) (+.f64 z x)) |
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))) |
(fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) (+.f64 z x)) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
x |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (/ x z))) |
(*.f64 (+.f64 (/.f64 x z) (cos.f64 y)) z) |
(* z (+ (cos y) (/ x z))) |
(*.f64 (+.f64 (/.f64 x z) (cos.f64 y)) z) |
(* z (+ (cos y) (/ x z))) |
(*.f64 (+.f64 (/.f64 x z) (cos.f64 y)) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z))))) |
(*.f64 (+.f64 (/.f64 x z) (cos.f64 y)) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z))))) |
(*.f64 (+.f64 (/.f64 x z) (cos.f64 y)) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z))))) |
(*.f64 (+.f64 (/.f64 x z) (cos.f64 y)) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
(+ x (* z (cos y))) |
(fma.f64 (cos.f64 y) z x) |
x |
(* x (+ 1 (/ (* z (cos y)) x))) |
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) |
(* x (+ 1 (/ (* z (cos y)) x))) |
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) |
(* x (+ 1 (/ (* z (cos y)) x))) |
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) |
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) |
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) |
x |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
z |
(* z (+ 1 (/ x z))) |
(fma.f64 (/.f64 x z) z z) |
(* z (+ 1 (/ x z))) |
(fma.f64 (/.f64 x z) z z) |
(* z (+ 1 (/ x z))) |
(fma.f64 (/.f64 x z) z z) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(fma.f64 (/.f64 x z) z z) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(fma.f64 (/.f64 x z) z z) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(fma.f64 (/.f64 x z) z z) |
z |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
x |
(* x (+ 1 (/ z x))) |
(fma.f64 (/.f64 z x) x x) |
(* x (+ 1 (/ z x))) |
(fma.f64 (/.f64 z x) x x) |
(* x (+ 1 (/ z x))) |
(fma.f64 (/.f64 z x) x x) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(fma.f64 (/.f64 z x) x x) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(fma.f64 (/.f64 z x) x x) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(fma.f64 (/.f64 z x) x x) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(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 |
(+ z (* -1/2 (* (pow y 2) z))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(+ (* -1 (pow z 2)) (* x (+ z (* -1 z)))) |
(*.f64 (neg.f64 z) z) |
(+ (* -1 (pow z 2)) (* x (+ x (+ z (* -1 z))))) |
(*.f64 (+.f64 z x) (-.f64 x z)) |
(+ (* -1 (pow z 2)) (* x (+ x (+ z (* -1 z))))) |
(*.f64 (+.f64 z x) (-.f64 x z)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (/ z x)))) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x))))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 z) (/.f64 z (*.f64 x x)) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x))))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 z) (/.f64 z (*.f64 x x)) #s(literal 1 binary64)) x) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (/ z x)))) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (/ (pow z 2) x)) x)))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 z) (/.f64 z (*.f64 x x)) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (/ (pow z 2) x)) x)))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 z) (/.f64 z (*.f64 x x)) #s(literal 1 binary64)) x) x) |
(pow x 2) |
(*.f64 x x) |
(+ (* z (+ x (* -1 x))) (pow x 2)) |
(*.f64 x x) |
(+ (* z (+ x (+ (* -1 x) (* -1 z)))) (pow x 2)) |
(*.f64 (+.f64 z x) (-.f64 x z)) |
(+ (* z (+ x (+ (* -1 x) (* -1 z)))) (pow x 2)) |
(*.f64 (+.f64 z x) (-.f64 x z)) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* (pow z 2) (- (+ (* -1 (/ x z)) (/ x z)) 1)) |
(*.f64 (neg.f64 z) z) |
(* (pow z 2) (- (+ (* -1 (/ x z)) (+ (/ x z) (/ (pow x 2) (pow z 2)))) 1)) |
(*.f64 (*.f64 (fma.f64 x (/.f64 x (*.f64 z z)) #s(literal -1 binary64)) z) z) |
(* (pow z 2) (- (+ (* -1 (/ x z)) (+ (/ x z) (/ (pow x 2) (pow z 2)))) 1)) |
(*.f64 (*.f64 (fma.f64 x (/.f64 x (*.f64 z z)) #s(literal -1 binary64)) z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* (pow z 2) (- (* -1 (/ (+ x (* -1 x)) z)) 1)) |
(*.f64 (neg.f64 z) z) |
(* (pow z 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) z)))) z)) 1)) |
(*.f64 (*.f64 (fma.f64 x (/.f64 x (*.f64 z z)) #s(literal -1 binary64)) z) z) |
(* (pow z 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) z)))) z)) 1)) |
(*.f64 (*.f64 (fma.f64 x (/.f64 x (*.f64 z z)) #s(literal -1 binary64)) z) z) |
| 5 202× | lower-*.f32 |
| 5 196× | lower-*.f64 |
| 3 428× | lower-/.f32 |
| 3 422× | lower-/.f64 |
| 3 364× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 245 |
| 0 | 75 | 255 |
| 1 | 371 | 206 |
| 2 | 3169 | 203 |
| 0 | 8433 | 191 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x) |
(+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) |
#s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) |
(/.f64 (*.f64 (cos.f64 y) z) x) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x))) |
#s(approx (+ (+ y x) z) (+.f64 y x)) |
(+.f64 y x) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))) |
#s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)) |
(fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) |
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z)))) |
(/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))))) |
(-.f64 x z) |
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) (sin.f64 y)) |
#s(approx (+ (* (cos y) z) x) (+.f64 z x)) |
(+.f64 z x) |
(sin.f64 y) |
(*.f64 (cos.f64 y) z) |
(*.f64 y z) |
(*.f64 (+.f64 x z) (-.f64 x z)) |
| Outputs |
|---|
(*.f64 (fma.f64 (/.f64 z x) (cos.f64 y) #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x)))) |
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (*.f64 x (-.f64 x (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))))))) |
(*.f64 x (fma.f64 (/.f64 z x) (cos.f64 y) #s(literal 1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x)) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (*.f64 x (-.f64 x (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x))) (*.f64 (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x)) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (-.f64 x (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (*.f64 x (-.f64 x (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x))) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) x)))) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (*.f64 x (-.f64 x (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x)) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (*.f64 x (-.f64 x (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) #s(literal 3 binary64))))) |
(fma.f64 (*.f64 x (cos.f64 y)) (/.f64 z x) x) |
(fma.f64 (*.f64 x (*.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) x) x) |
(fma.f64 (/.f64 (*.f64 z (cos.f64 y)) x) x x) |
(fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) x) |
(fma.f64 (*.f64 z (cos.f64 y)) (/.f64 x x) x) |
(fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) x) |
(fma.f64 (cos.f64 y) (*.f64 (/.f64 z x) x) x) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) (neg.f64 x)))) |
(+.f64 (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) x) |
(+.f64 x (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (*.f64 (+.f64 x z) (-.f64 x z))) |
(*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x))) |
(*.f64 (fma.f64 (*.f64 z z) z (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
(*.f64 (fma.f64 (*.f64 z z) z (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z x) (*.f64 x x)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x z)))) |
(*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 x z))) |
(*.f64 (+.f64 x z) (/.f64 (-.f64 x z) (-.f64 x z))) |
(*.f64 (+.f64 x z) #s(literal 1 binary64)) |
(*.f64 (-.f64 x z) (/.f64 (+.f64 x z) (-.f64 x z))) |
(*.f64 #s(literal 1 binary64) (+.f64 x z)) |
(pow.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 x z)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 #s(literal 1 binary64) (+.f64 x z))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 x z) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 (*.f64 z z) z (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 z (-.f64 z x) (*.f64 x x)) (fma.f64 (*.f64 z z) z (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) #s(literal -1 binary64)) |
(pow.f64 (+.f64 x z) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (*.f64 (-.f64 z x) (-.f64 z x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x z)) (*.f64 (-.f64 x z) (*.f64 z z))) (*.f64 (-.f64 x z) (-.f64 x z))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (-.f64 x z)) |
(/.f64 (neg.f64 (*.f64 (+.f64 x z) (-.f64 z x))) (neg.f64 (-.f64 z x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) z (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) z (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 z (-.f64 z x) (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (-.f64 x z)))) |
(/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)) |
(/.f64 (fma.f64 (*.f64 z z) z (*.f64 (*.f64 x x) x)) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(/.f64 (fma.f64 (*.f64 z z) z (*.f64 (*.f64 x x) x)) (fma.f64 z (-.f64 z x) (*.f64 x x))) |
(/.f64 (*.f64 (neg.f64 (-.f64 x z)) (+.f64 x z)) (neg.f64 (-.f64 x z))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x z))) |
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (-.f64 x z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 (*.f64 z z) z (*.f64 (*.f64 x x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z x) (*.f64 x x)) (fma.f64 (*.f64 z z) z (*.f64 (*.f64 x x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x z)) (/.f64 (*.f64 z z) (-.f64 x z))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x z))) #s(literal -1 binary64))) |
(+.f64 x z) |
(+.f64 z x) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z y) |
(*.f64 y z) |
(*.f64 (+.f64 x z) (-.f64 x z)) |
(*.f64 (-.f64 x z) (+.f64 x z)) |
(/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 x z)) (-.f64 z x)) |
(/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (-.f64 x z)) (-.f64 x z)) |
(/.f64 (*.f64 (fma.f64 (*.f64 z z) z (*.f64 (*.f64 x x) x)) (-.f64 x z)) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(/.f64 (*.f64 (fma.f64 (*.f64 z z) z (*.f64 (*.f64 x x) x)) (-.f64 x z)) (fma.f64 z (-.f64 z x) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (+.f64 x z)) (+.f64 x z)) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)) (+.f64 x z)) (fma.f64 x x (*.f64 z (+.f64 x z)))) |
(/.f64 (*.f64 (+.f64 x z) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) (fma.f64 x x (*.f64 z (+.f64 x z)))) |
(/.f64 (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 z x))) (-.f64 z x)) |
(/.f64 (*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))) (-.f64 x z)) |
(/.f64 (*.f64 (-.f64 x z) (fma.f64 (*.f64 z z) z (*.f64 (*.f64 x x) x))) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(/.f64 (*.f64 (-.f64 x z) (fma.f64 (*.f64 z z) z (*.f64 (*.f64 x x) x))) (fma.f64 z (-.f64 z x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 z z) (*.f64 z z))) (fma.f64 x x (*.f64 z z))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z))) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 (*.f64 z z) (*.f64 z z) (*.f64 (*.f64 x z) (*.f64 x z))))) |
(/.f64 (*.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))) (+.f64 x z)) |
(/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 (-.f64 z x) (+.f64 x z))) |
(/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) (*.f64 (-.f64 z x) (fma.f64 x x (*.f64 z (+.f64 x z))))) |
(/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) (*.f64 (-.f64 x z) (fma.f64 x x (*.f64 z (+.f64 x z))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 z z) z (*.f64 (*.f64 x x) x)) (*.f64 (+.f64 x z) (-.f64 x z))) (fma.f64 (*.f64 z z) z (*.f64 (*.f64 x x) x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 z z) z (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (fma.f64 x x (*.f64 z (+.f64 x z))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 z z) z (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) (*.f64 (fma.f64 z (-.f64 z x) (*.f64 x x)) (fma.f64 x x (*.f64 z (+.f64 x z))))) |
(/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (+.f64 x z) (-.f64 z x))) (*.f64 (+.f64 x z) (-.f64 z x))) |
(/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (fma.f64 (*.f64 z z) z (*.f64 (*.f64 x x) x))) (*.f64 (+.f64 x z) (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (fma.f64 (*.f64 z z) z (*.f64 (*.f64 x x) x))) (*.f64 (+.f64 x z) (fma.f64 z (-.f64 z x) (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)) (*.f64 (+.f64 x z) (-.f64 z x))) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 z x))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)) (fma.f64 (*.f64 z z) z (*.f64 (*.f64 x x) x))) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)) (fma.f64 (*.f64 z z) z (*.f64 (*.f64 x x) x))) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (fma.f64 z (-.f64 z x) (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 (+.f64 x z) (-.f64 x z))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 z) z)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (neg.f64 (*.f64 z z))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 z) z)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 (*.f64 z z))) |
(fma.f64 (+.f64 x z) x (*.f64 (+.f64 x z) (neg.f64 z))) |
(fma.f64 (-.f64 x z) x (*.f64 (-.f64 x z) z)) |
(fma.f64 (-.f64 x z) z (*.f64 (-.f64 x z) x)) |
(fma.f64 x (+.f64 x z) (*.f64 (neg.f64 z) (+.f64 x z))) |
(fma.f64 x (-.f64 x z) (*.f64 z (-.f64 x z))) |
(fma.f64 x x (*.f64 (neg.f64 z) z)) |
(fma.f64 x x (neg.f64 (*.f64 z z))) |
(fma.f64 z (-.f64 x z) (*.f64 x (-.f64 x z))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(+.f64 (*.f64 x (+.f64 x z)) (*.f64 (neg.f64 z) (+.f64 x z))) |
(+.f64 (*.f64 z (-.f64 x z)) (*.f64 x (-.f64 x z))) |
(+.f64 (*.f64 (+.f64 x z) x) (*.f64 (+.f64 x z) (neg.f64 z))) |
(+.f64 (*.f64 (-.f64 x z) x) (*.f64 (-.f64 x z) z)) |
(+.f64 (*.f64 (-.f64 x z) z) (*.f64 (-.f64 x z) x)) |
(+.f64 (*.f64 x (-.f64 x z)) (*.f64 z (-.f64 x z))) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 z) z)) |
(+.f64 (*.f64 x x) (neg.f64 (*.f64 z z))) |
Compiled 18 655 to 1 640 computations (91.2% saved)
47 alts after pruning (41 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 037 | 23 | 1 060 |
| Fresh | 11 | 18 | 29 |
| Picked | 2 | 3 | 5 |
| Done | 2 | 3 | 5 |
| Total | 1 052 | 47 | 1 099 |
| Status | Accuracy | Program |
|---|---|---|
| 41.9% | (/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) | |
| 52.6% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 63.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 (+.f64 y x) z)))) | |
| 61.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 (sin.f64 y) x)))) | |
| 39.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z)))) | |
| 43.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (/.f64 #s(literal 1 binary64) x))) | |
| 61.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 y (*.f64 (+.f64 z x) (+.f64 z x)))))) | |
| ✓ | 99.9% | (+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) |
| 50.3% | (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y))) | |
| 89.7% | (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (/.f64 (cos.f64 y) x)) x x)) (sin.f64 y)) | |
| 89.7% | (+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 x (cos.f64 y)) (/.f64 z x) x)) (sin.f64 y)) | |
| ✓ | 85.9% | (+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) (sin.f64 y)) |
| 53.4% | (+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) | |
| 54.0% | (+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) | |
| 62.0% | #s(approx (/ 1 (/ 1 (+ (* (cos y) z) (+ (sin y) x)))) (+.f64 (sin.f64 y) x)) | |
| 88.9% | #s(approx (/ 1 (/ 1 (+ (* (cos y) z) (+ (sin y) x)))) (*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)) | |
| 40.0% | #s(approx (/ 1 (/ 1 (+ (* (cos y) z) (+ (sin y) x)))) (*.f64 (cos.f64 y) z)) | |
| 54.2% | #s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (fma.f64 (cos.f64 y) z (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 y)))) | |
| 29.8% | #s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y z))) | |
| ✓ | 40.1% | #s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x))) |
| 19.6% | #s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))))) | |
| 42.0% | #s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y))))) | |
| ✓ | 58.0% | #s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
| ✓ | 29.2% | #s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))) |
| 26.4% | #s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal -1 binary64))) y z))) | |
| 20.6% | #s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y))) | |
| 25.4% | #s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))) | |
| 13.4% | #s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) y)) y) y)))) | |
| 2.7% | #s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) y)))) | |
| 31.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 #s(literal -1/6 binary64) y)))))) y #s(literal 1 binary64)) y (+.f64 x z))) | |
| 35.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (-.f64 x z))))) | |
| 36.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) | |
| 34.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) #s(approx (- x z) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)))))) | |
| 16.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) #s(approx (- x z) (neg.f64 z)))))) | |
| 15.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 (neg.f64 z) z))))) | |
| 22.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 x x))))) | |
| 32.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x z) (*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z)) (*.f64 (+.f64 x z) (-.f64 x z))))) | |
| 16.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x z) (neg.f64 z)) (*.f64 (+.f64 x z) (-.f64 x z))))) | |
| 26.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x z) (* (+ x z) (- x z))) (/.f64 #s(literal 1 binary64) z)))) | |
| ✓ | 67.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
| 21.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) (fma.f64 x x (*.f64 z (+.f64 x z))))) | |
| 67.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (+.f64 x z)) (-.f64 x z))) | |
| 61.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 z x) x x))) | |
| 56.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 x z) z z))) | |
| 32.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) | |
| 2.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) | |
| 2.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))) |
Compiled 1 816 to 653 computations (64% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z)) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x z) (* (+ x z) (- x z))) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (-.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 (+.f64 y x) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 x z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (+.f64 x z)) (-.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 x x))))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 (neg.f64 z) z))))) |
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x z) (neg.f64 z)) (*.f64 (+.f64 x z) (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) #s(approx (- x z) (neg.f64 z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))))) |
(+.f64 #s(approx (+ x (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y x)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) y)) y) y)))) |
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (-.f64 x z))))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x)) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal -1 binary64))) y z))) |
(+.f64 (+.f64 x #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (-.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))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x z) (*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z)) (*.f64 (+.f64 x z) (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) #s(approx (- x z) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) (fma.f64 x x (*.f64 z (+.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 #s(literal -1/6 binary64) y)))))) y #s(literal 1 binary64)) y (+.f64 x z))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (+.f64 (sin.f64 y) x)) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (+ (sin y) x)))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (+ (sin y) x)))) (*.f64 (cos.f64 y) z)) |
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) (sin.f64 y)) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 (sin.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 x (cos.f64 y)) (/.f64 z x) x)) (sin.f64 y)) |
(+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (*.f64 z (/.f64 (cos.f64 y) x)) x x)) (sin.f64 y)) |
(+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) (sin.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (+ (sin y) x)))) (*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (fma.f64 (cos.f64 y) z (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 y)))) |
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (-.f64 x (sin.f64 y)))) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
| Outputs |
|---|
(+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) |
4 calls:
| 46.0ms | x |
| 38.0ms | y |
| 25.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 23.0ms | z |
| 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))) (+.f64 x z)) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z)) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x z) (* (+ x z) (- x z))) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (-.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 (+.f64 y x) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 x z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (+.f64 x z)) (-.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 x x))))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 (neg.f64 z) z))))) |
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x z) (neg.f64 z)) (*.f64 (+.f64 x z) (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) #s(approx (- x z) (neg.f64 z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))))) |
(+.f64 #s(approx (+ x (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y x)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) y)) y) y)))) |
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (-.f64 x z))))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x)) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal -1 binary64))) y z))) |
(+.f64 (+.f64 x #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (-.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))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x z) (*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z)) (*.f64 (+.f64 x z) (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) #s(approx (- x z) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) (fma.f64 x x (*.f64 z (+.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 #s(literal -1/6 binary64) y)))))) y #s(literal 1 binary64)) y (+.f64 x z))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (+.f64 (sin.f64 y) x)) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (+ (sin y) x)))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (+ (sin y) x)))) (*.f64 (cos.f64 y) z)) |
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) (sin.f64 y)) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 (sin.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(+.f64 #s(approx (+ (* (cos y) z) x) (fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x x)) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) (sin.f64 y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
4 calls:
| 21.0ms | y |
| 20.0ms | x |
| 20.0ms | z |
| 19.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.0% | 3 | x |
| 85.9% | 1 | y |
| 93.6% | 3 | z |
| 85.9% | 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))) (+.f64 x z)) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z)) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x z) (* (+ x z) (- x z))) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (-.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 (+.f64 y x) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 x z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (+.f64 x z)) (-.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 x x))))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 (neg.f64 z) z))))) |
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x z) (neg.f64 z)) (*.f64 (+.f64 x z) (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) #s(approx (- x z) (neg.f64 z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))))) |
(+.f64 #s(approx (+ x (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y x)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) y)) y) y)))) |
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (-.f64 x z))))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x)) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal -1 binary64))) y z))) |
(+.f64 (+.f64 x #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (-.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))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x z) (*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z)) (*.f64 (+.f64 x z) (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) #s(approx (- x z) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) (fma.f64 x x (*.f64 z (+.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 #s(literal -1/6 binary64) y)))))) y #s(literal 1 binary64)) y (+.f64 x z))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (+.f64 (sin.f64 y) x)) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (+ (sin y) x)))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (+ (sin y) x)))) (*.f64 (cos.f64 y) z)) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
4 calls:
| 36.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 25.0ms | x |
| 18.0ms | y |
| 16.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.7% | 3 | y |
| 85.9% | 5 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 72.7% | 3 | x |
| 90.9% | 5 | z |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z)) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x z) (* (+ x z) (- x z))) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (-.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 (+.f64 y x) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 x z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (+.f64 x z)) (-.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 x x))))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 (neg.f64 z) z))))) |
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x z) (neg.f64 z)) (*.f64 (+.f64 x z) (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) #s(approx (- x z) (neg.f64 z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))))) |
(+.f64 #s(approx (+ x (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y x)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) y)) y) y)))) |
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (-.f64 x z))))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x)) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal -1 binary64))) y z))) |
(+.f64 (+.f64 x #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (-.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))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x z) (*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z)) (*.f64 (+.f64 x z) (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) #s(approx (- x z) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) (fma.f64 x x (*.f64 z (+.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 #s(literal -1/6 binary64) y)))))) y #s(literal 1 binary64)) y (+.f64 x z))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (+.f64 (sin.f64 y) x)) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (+ (sin y) x)))) (+.f64 (sin.f64 y) x)) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) |
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) |
2 calls:
| 17.0ms | z |
| 17.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.7% | 3 | y |
| 83.3% | 3 | z |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z)) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x z) (* (+ x z) (- x z))) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (-.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 (+.f64 y x) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 x z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (+.f64 x z)) (-.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 x x))))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 (neg.f64 z) z))))) |
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x z) (neg.f64 z)) (*.f64 (+.f64 x z) (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) #s(approx (- x z) (neg.f64 z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))))) |
(+.f64 #s(approx (+ x (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y x)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) y)) y) y)))) |
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (-.f64 x z))))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x)) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal -1 binary64))) y z))) |
(+.f64 (+.f64 x #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (-.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))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x z) (*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z)) (*.f64 (+.f64 x z) (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) #s(approx (- x z) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) (fma.f64 x x (*.f64 z (+.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 #s(literal -1/6 binary64) y)))))) y #s(literal 1 binary64)) y (+.f64 x z))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z)) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
3 calls:
| 17.0ms | y |
| 15.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 15.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.2% | 5 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 67.9% | 1 | z |
| 72.4% | 3 | y |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z)) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x z) (* (+ x z) (- x z))) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (-.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 (+.f64 y x) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 x z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (+.f64 x z)) (-.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 x x))))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 (neg.f64 z) z))))) |
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x z) (neg.f64 z)) (*.f64 (+.f64 x z) (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) #s(approx (- x z) (neg.f64 z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))))) |
(+.f64 #s(approx (+ x (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y x)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) y)) y) y)))) |
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (-.f64 x z))))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x)) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal -1 binary64))) y z))) |
(+.f64 (+.f64 x #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (-.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))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x z) (*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z)) (*.f64 (+.f64 x z) (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) #s(approx (- x z) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) (fma.f64 x x (*.f64 z (+.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 #s(literal -1/6 binary64) y)))))) y #s(literal 1 binary64)) y (+.f64 x z))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
3 calls:
| 18.0ms | x |
| 15.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 15.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.0% | 3 | y |
| 71.3% | 3 | x |
| 72.0% | 3 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z)) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x z) (* (+ x z) (- x z))) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (-.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 (+.f64 y x) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 x z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (+.f64 x z)) (-.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 x x))))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 (neg.f64 z) z))))) |
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x z) (neg.f64 z)) (*.f64 (+.f64 x z) (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) #s(approx (- x z) (neg.f64 z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 x z) (-.f64 x z))))) |
(+.f64 #s(approx (+ x (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y x)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) y)) y) y)))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
(+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
2 calls:
| 12.0ms | y |
| 12.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.9% | 3 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 71.9% | 3 | y |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z)) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x z) (* (+ x z) (- x z))) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (-.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 (+.f64 y x) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 x z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (+.f64 x z)) (-.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 x x))))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) #s(approx (* (+ x z) (- x z)) (*.f64 (neg.f64 z) z))))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
2 calls:
| 13.0ms | y |
| 10.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.8% | 3 | y |
| 71.8% | 3 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z)) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- x z) (* (+ x z) (- x z))) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (+ (sin y) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (-.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (+ (sin y) x)) (+.f64 z x)))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
2 calls:
| 9.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.8% | 3 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 71.7% | 3 | y |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z)) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) #s(approx (+ (* (+ (* (* y z) -1/2) 1) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ x z) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ x z)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- x z) (* (+ x z) (- x z)))) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y (+.f64 x z))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
1 calls:
| 5.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.7% | 3 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 8 computations (33.3% saved)
Total -41.5b remaining (-202%)
Threshold costs -41.5b (-202%)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x))) |
#s(approx (+ (/ (- 1/2 (+ (* (cos (+ y y)) 1/2) (* x x))) (- (sin y) x)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y z))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
3 calls:
| 3.0ms | x |
| 2.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.9% | 1 | x |
| 67.9% | 1 | y |
| 67.9% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 20 to 14 computations (30% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 5.508153727024008e+151 | 3.779982725026806e+155 |
| 22.0ms | -5.14102604891171e+215 | -9.673924423465436e+206 |
| 26.0ms | 272× | 0 | valid |
Compiled 355 to 235 computations (33.8% saved)
ival-sin: 7.0ms (42.1% of total)ival-cos: 5.0ms (30.1% of total)ival-add: 2.0ms (12% of total)ival-mult: 2.0ms (12% 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 |
|---|---|---|
| 0.0ms | 5.508153727024008e+151 | 3.779982725026806e+155 |
| 9.0ms | 8.049717867460771e-29 | 2.9440622784656293e-28 |
| 15.0ms | -2.7055896760295158e-33 | -1.429308611478193e-35 |
| 1.0ms | -5.14102604891171e+215 | -9.673924423465436e+206 |
| 17.0ms | 192× | 0 | valid |
Compiled 508 to 333 computations (34.4% saved)
ival-cos: 4.0ms (31.6% of total)ival-sin: 4.0ms (31.6% of total)ival-add: 3.0ms (23.7% of total)ival-mult: 1.0ms (7.9% 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 |
|---|---|---|
| 23.0ms | 54347132.51213531 | 4740598759428849000.0 |
| 24.0ms | -3.7009140813123526e+34 | -5.971092511131844e+26 |
| 33.0ms | 304× | 0 | valid |
Compiled 623 to 375 computations (39.8% saved)
ival-sin: 12.0ms (47% of total)ival-cos: 9.0ms (35.3% of total)ival-add: 3.0ms (11.8% of total)ival-mult: 2.0ms (7.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9997289677125929 | 1553500128248544.0 |
| 0.0ms | 4.933076646345991e-20 | 0.06799613729589885 |
| 0.0ms | -0.026249514624462223 | -2.954779593132663e-10 |
| 0.0ms | -66364500425206350.0 | -0.9598832878600585 |
Compiled 15 to 14 computations (6.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 4740598759428849000.0 | 2.1102814275624323e+21 |
| 22.0ms | -55142191686.59675 | -3311.6139291620057 |
| 33.0ms | 272× | 0 | valid |
Compiled 627 to 354 computations (43.5% saved)
ival-cos: 9.0ms (38.4% of total)ival-sin: 9.0ms (38.4% of total)ival-add: 3.0ms (12.8% of total)ival-mult: 2.0ms (8.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.12692408767349764 | 0.18200255329808704 |
| 0.0ms | -0.1533913378346343 | -0.026249514624462223 |
Compiled 15 to 14 computations (6.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 3.1046095515355044e-27 | 7.745497014275602e-25 |
| 20.0ms | -55142191686.59675 | -3311.6139291620057 |
| 20.0ms | 240× | 0 | valid |
Compiled 447 to 286 computations (36% saved)
ival-sin: 6.0ms (41.2% of total)ival-cos: 4.0ms (27.5% of total)ival-add: 2.0ms (13.7% of total)ival-mult: 2.0ms (13.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.12692408767349764 | 0.18200255329808704 |
| 0.0ms | -0.5121727250240546 | -0.4745510517216667 |
Compiled 15 to 14 computations (6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.12692408767349764 | 0.18200255329808704 |
| 0.0ms | -0.16704420629069675 | -0.1533913378346343 |
Compiled 15 to 14 computations (6.7% saved)
| 1× | egg-herbie |
| 18× | +-commutative_binary64 |
| 10× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 114 | 683 |
| 1 | 131 | 683 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) |
(if (<=.f64 z #s(literal -1000000000000000038893577551088388431307372492952020133343023820076912942893848967630799656078777013873264603119412132913531706114094375616540183672212689403544345862626169435445664558076559462193222406635520 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 81999999999999995884583351105240599504362513542470270795730752027022998215485946671818949629637402819272891443653952983457671029227466356384030928142336 binary64)) (+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) (sin.f64 y)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (<=.f64 z #s(literal -1000000000000000038893577551088388431307372492952020133343023820076912942893848967630799656078777013873264603119412132913531706114094375616540183672212689403544345862626169435445664558076559462193222406635520 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal -7716728645107167/5846006549323611672814739330865132078623730171904 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 z #s(literal 1505300300900817/11150372599265311570767859136324180752990208 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) (if (<=.f64 z #s(literal 81999999999999995884583351105240599504362513542470270795730752027022998215485946671818949629637402819272891443653952983457671029227466356384030928142336 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))))) |
(if (<=.f64 y #s(literal -599999999999999994228637696 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 55000000 binary64)) (+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))))) |
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -50000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2076918743413931/41538374868278621028243970633760768 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 1 binary64)) #s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)))))) |
(if (<=.f64 y #s(literal -4200000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 y #s(literal 4800000000000000000 binary64)) (+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)))) |
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 5404319552844595/36028797018963968 binary64)) (+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)))) |
(if (<=.f64 y #s(literal -460000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 y #s(literal 8166776806102523/10889035741470030830827987437816582766592 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)))) |
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 5404319552844595/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)))) |
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -5764607523034235/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 5404319552844595/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
| Outputs |
|---|
(+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(if (<=.f64 z #s(literal -1000000000000000038893577551088388431307372492952020133343023820076912942893848967630799656078777013873264603119412132913531706114094375616540183672212689403544345862626169435445664558076559462193222406635520 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 81999999999999995884583351105240599504362513542470270795730752027022998215485946671818949629637402819272891443653952983457671029227466356384030928142336 binary64)) (+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) (sin.f64 y)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (<=.f64 z #s(literal -1000000000000000038893577551088388431307372492952020133343023820076912942893848967630799656078777013873264603119412132913531706114094375616540183672212689403544345862626169435445664558076559462193222406635520 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 81999999999999995884583351105240599504362513542470270795730752027022998215485946671818949629637402819272891443653952983457671029227466356384030928142336 binary64)) (+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 x z)) (sin.f64 y)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
(if (<=.f64 z #s(literal -1000000000000000038893577551088388431307372492952020133343023820076912942893848967630799656078777013873264603119412132913531706114094375616540183672212689403544345862626169435445664558076559462193222406635520 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal -7716728645107167/5846006549323611672814739330865132078623730171904 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 z #s(literal 1505300300900817/11150372599265311570767859136324180752990208 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) (if (<=.f64 z #s(literal 81999999999999995884583351105240599504362513542470270795730752027022998215485946671818949629637402819272891443653952983457671029227466356384030928142336 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))))) |
(if (<=.f64 z #s(literal -1000000000000000038893577551088388431307372492952020133343023820076912942893848967630799656078777013873264603119412132913531706114094375616540183672212689403544345862626169435445664558076559462193222406635520 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal -7716728645107167/5846006549323611672814739330865132078623730171904 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 z #s(literal 1505300300900817/11150372599265311570767859136324180752990208 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 z #s(literal 81999999999999995884583351105240599504362513542470270795730752027022998215485946671818949629637402819272891443653952983457671029227466356384030928142336 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))))) |
(if (<=.f64 y #s(literal -599999999999999994228637696 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 55000000 binary64)) (+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))))) |
(if (<=.f64 y #s(literal -599999999999999994228637696 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 55000000 binary64)) (+.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (+ (* (cos y) z) x) (+.f64 x z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)))) |
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -50000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2076918743413931/41538374868278621028243970633760768 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 1 binary64)) #s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)))))) |
(if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) #s(literal -50000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y))) (if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) #s(literal 2076918743413931/41538374868278621028243970633760768 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z)) (if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) #s(literal 1 binary64)) #s(approx (+ (+ (* (cos y) z) x) (sin y)) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)))))) |
(if (<=.f64 y #s(literal -4200000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 y #s(literal 4800000000000000000 binary64)) (+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)))) |
(if (<=.f64 y #s(literal -4200000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 y #s(literal 4800000000000000000 binary64)) (+.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (+ (* (cos y) z) x) (+.f64 x z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)))) |
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 5404319552844595/36028797018963968 binary64)) (+.f64 #s(approx (+ (* (cos y) z) x) (+.f64 z x)) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)))) |
(if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) #s(literal 5404319552844595/36028797018963968 binary64)) (+.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) #s(approx (+ (* (cos y) z) x) (+.f64 x z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)))) |
(if (<=.f64 y #s(literal -460000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 y #s(literal 8166776806102523/10889035741470030830827987437816582766592 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)))) |
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 5404319552844595/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)))) |
(if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) #s(literal 5404319552844595/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)))) |
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -5764607523034235/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 5404319552844595/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)))) |
(if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) #s(literal -5764607523034235/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) #s(literal 5404319552844595/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
| 11 712× | lower-fma.f64 |
| 11 712× | lower-fma.f32 |
| 7 984× | lower-fma.f64 |
| 7 984× | lower-fma.f32 |
| 7 474× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 611 | 6406 |
| 1 | 1831 | 6311 |
| 2 | 5740 | 6156 |
| 0 | 8353 | 5712 |
| 0 | 530 | 5808 |
| 1 | 1637 | 5657 |
| 2 | 5030 | 5251 |
| 0 | 8129 | 4784 |
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 43 | 21 |
| 2 | 362 | 21 |
| 3 | 5548 | 21 |
| 0 | 8320 | 20 |
| 0 | 552 | 5822 |
| 1 | 1698 | 5653 |
| 2 | 4955 | 5497 |
| 0 | 8285 | 5089 |
| 0 | 109 | 647 |
| 1 | 310 | 643 |
| 2 | 852 | 633 |
| 3 | 2193 | 631 |
| 4 | 4247 | 631 |
| 5 | 7326 | 631 |
| 0 | 8046 | 578 |
| 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 |
| 1× | iter limit |
| 1× | node limit |
Compiled 749 to 305 computations (59.3% saved)
Compiled 804 to 200 computations (75.1% saved)
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