
Time bar (total: 10.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 1.3s | 8 256× | 0 | valid |
ival-sin: 404.0ms (45.8% of total)ival-cos: 257.0ms (29.1% of total)ival-mult: 170.0ms (19.3% of total)ival-add: 42.0ms (4.8% of total)ival-true: 6.0ms (0.7% of total)ival-assert: 4.0ms (0.5% 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 |
| 60.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-cos: 17.0ms (38.6% of total)ival-sin: 17.0ms (38.6% of total)ival-mult: 7.0ms (15.9% of total)ival-add: 2.0ms (4.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 180× | associate-*r* |
| 160× | unsub-neg |
| 142× | associate-*l* |
| 136× | distribute-lft-neg-in |
| 110× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 87 |
| 1 | 79 | 81 |
| 2 | 139 | 81 |
| 3 | 307 | 81 |
| 4 | 458 | 81 |
| 5 | 693 | 81 |
| 6 | 871 | 81 |
| 7 | 957 | 81 |
| 8 | 1038 | 81 |
| 9 | 1104 | 81 |
| 10 | 1118 | 81 |
| 11 | 1123 | 81 |
| 12 | 1125 | 81 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 16 | 9 |
| 0 | 16 | 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 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (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))) |
| 8× | lower-fma.f64 |
| 8× | lower-fma.f32 |
| 8× | lower-*.f32 |
| 4× | *-commutative |
| 4× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 16 | 24 |
| 0 | 16 | 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 | 0.01171875 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) | |
| accuracy | 0.125 | (*.f64 x (sin.f64 y)) | |
| accuracy | 0.12890625 | (*.f64 z (cos.f64 y)) |
| 24.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-cos: 6.0ms (37.3% of total)ival-sin: 6.0ms (37.3% of total)ival-mult: 3.0ms (18.7% of total)ival-add: 1.0ms (6.2% 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 (* 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 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 (*.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 (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 (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 (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 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 (*.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 (* 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 (*.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 (* x 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 (+ z (* y (+ x (* -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 (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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 y) (taylor 0 y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1/6 (* x (pow y 2))))) (taylor 0 y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) (taylor 0 y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) (taylor 0 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 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 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 (+ (* 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 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 (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 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 (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 (+ (* 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 -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 (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 -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 (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* z (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 (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 (sin y)) (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 (+ (sin y) (/ (* 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 (+ (sin y) (/ (* 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 (+ (sin y) (/ (* 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 (sin y)) (taylor inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (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)) (* -1 (/ (* 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 (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* 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 (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* 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 (sin y)) (taylor -inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | z | @ | 0 | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | z | @ | inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | y | @ | inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | x | @ | -inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | x | @ | 0 | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1× | egg-herbie |
| 12 858× | lower-fma.f64 |
| 12 858× | lower-fma.f32 |
| 4 718× | lower-*.f64 |
| 4 718× | lower-*.f32 |
| 2 178× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 682 |
| 1 | 344 | 678 |
| 2 | 981 | 668 |
| 3 | 2637 | 662 |
| 4 | 4654 | 662 |
| 5 | 6949 | 662 |
| 0 | 8182 | 606 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
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)))) |
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)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
| Outputs |
|---|
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* 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) (/ (* x (sin y)) z))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* 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 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* 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 (* x y)) |
(fma.f64 y x z) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (*.f64 x (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 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 x (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 x)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) |
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 z (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 (* (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))) |
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)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(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) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(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) |
(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) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
| 11 480× | lower-fma.f64 |
| 11 480× | lower-fma.f32 |
| 4 168× | lower-*.f32 |
| 4 164× | lower-*.f64 |
| 4 070× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 29 | 21 |
| 2 | 185 | 21 |
| 3 | 1836 | 21 |
| 0 | 8391 | 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 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (-.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)) (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (-.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)) (pow.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))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.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)) (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))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 9 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.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))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #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 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.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 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.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 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (neg.f64 (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 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 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))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (pow.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))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 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))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (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))) |
(*.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))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (pow.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))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.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 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 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 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (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 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 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 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (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 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (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 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(*.f64 (-.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 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.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 (-.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) (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (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 (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) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(*.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) (*.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))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64))) (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))) (/.f64 #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 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))) |
(*.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) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64)))))) |
(*.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) (*.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (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)))))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.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 (+.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) (*.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))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))) |
(*.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) (*.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.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 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 3 binary64)))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z)) #s(literal -1 binary64))) |
(*.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) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) (*.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) (+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
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(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (*.f64 (cos.f64 y) z)) |
(fma.f64 (/.f64 (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))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(fma.f64 (*.f64 (*.f64 (sin.f64 y) x) x) (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 #s(literal 1 binary64) (/.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))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 (*.f64 (sin.f64 y) x) (/.f64 (*.f64 (sin.f64 y) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (sin.f64 y) (/.f64 (*.f64 (*.f64 (sin.f64 y) x) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(-.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)) (+.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 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (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 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (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 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 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (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 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (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 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (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 (pow.f64 (*.f64 (cos.f64 y) z) #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 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (pow.f64 (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 4 binary64)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (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))))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (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)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))) (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (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 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (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)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #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)) (-.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 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 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 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) |
(-.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 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(-.f64 (*.f64 (sin.f64 y) x) (*.f64 (neg.f64 z) (cos.f64 y))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(+.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))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (sin.f64 y)))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 x))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64))) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 y) x))) |
(sin.f64 y) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (cos.f64 y)))) |
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (cos.f64 y))) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (neg.f64 z) (cos.f64 y))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (cos.f64 y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z))) |
(cos.f64 y) |
Compiled 8 420 to 573 computations (93.2% saved)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 265 | 17 | 282 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 266 | 17 | 283 |
| Status | Accuracy | Program |
|---|---|---|
| 47.9% | (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) | |
| 63.9% | (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) | |
| ▶ | 47.7% | (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
| ▶ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) | |
| 55.6% | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) | |
| 17.5% | (/.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 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64))))) | |
| ▶ | 25.8% | (/.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 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
| 39.3% | (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))))) | |
| 36.9% | (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) | |
| 99.6% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) | |
| 36.4% | (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #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)))) | |
| 50.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| 50.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) | |
| ▶ | 51.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| ▶ | 38.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
| 62.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
Compiled 854 to 448 computations (47.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) | |
| cost-diff | 0 | (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 128 | (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) | |
| cost-diff | 192 | (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) x) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) | |
| cost-diff | 0 | (fma.f64 y x z) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 (cos.f64 y) z) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| 14 070× | lower-fma.f32 |
| 14 062× | lower-fma.f64 |
| 4 902× | lower-*.f32 |
| 4 894× | lower-*.f64 |
| 1 226× | lower-+.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 322 |
| 0 | 59 | 320 |
| 1 | 102 | 318 |
| 2 | 214 | 317 |
| 3 | 806 | 317 |
| 4 | 2923 | 317 |
| 5 | 6220 | 317 |
| 0 | 8062 | 317 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(sin.f64 y) |
y |
x |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(fma.f64 y x z) |
y |
x |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(*.f64 x x) |
x |
(/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(neg.f64 z) |
z |
(cos.f64 y) |
(*.f64 (sin.f64 y) x) |
(neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) z) |
(/.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 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
#s(literal 4 binary64) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64)) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
z |
(*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(neg.f64 z) |
(+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(sin.f64 y) |
y |
x |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z)) |
(fma.f64 y x z) |
(fma.f64 x y z) |
y |
x |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
y |
x |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(*.f64 x x) |
x |
(/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) |
(neg.f64 z) |
z |
(cos.f64 y) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(/.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 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) |
(-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) |
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
y |
x |
#s(literal 4 binary64) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64)) |
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
z |
(*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) |
(neg.f64 z) |
(+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.213222509768442 | (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) | |
| accuracy | 0.23673637698974617 | (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) | |
| accuracy | 5.7968502299624705 | (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) | |
| accuracy | 46.14352902769835 | (/.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 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) | |
| accuracy | 0.27181625976844204 | (pow.f64 (sin.f64 y) #s(literal 2 binary64)) | |
| accuracy | 2.7591165461565073 | (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) | |
| accuracy | 16.98087584971322 | (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) | |
| accuracy | 20.914758714516854 | (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.125 | (*.f64 (sin.f64 y) x) | |
| accuracy | 39.36343972527366 | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) | |
| accuracy | 0 | (fma.f64 y x z) | |
| accuracy | 30.919130301396404 | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.05078125 | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) | |
| accuracy | 0.12890625 | (*.f64 (cos.f64 y) z) |
| 86.0ms | 256× | 0 | valid |
Compiled 326 to 35 computations (89.3% saved)
ival-sin: 16.0ms (24.1% of total)ival-mult: 13.0ms (19.6% of total)ival-cos: 9.0ms (13.6% of total)ival-pow2: 8.0ms (12.1% of total)ival-add: 6.0ms (9% of total)ival-pow: 6.0ms (9% of total)ival-div: 5.0ms (7.5% of total)ival-neg: 2.0ms (3% of total)ival-sub: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<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 (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) (patch (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.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 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) (patch (/.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 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) (patch (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) (patch (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) (patch (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) (patch (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (taylor 0 z) (#s(alt (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* x (sin y))))) (taylor 0 z) (#s(alt (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (* z (+ (* -1 (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3)))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) (taylor 0 z) (#s(alt (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))))) (/ (pow (cos y) 2) (* x (sin y))))) (taylor 0 z) (#s(alt (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) x) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (sin y) x) (/ (* z (cos y)) (pow x 2))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (sin y))) (* -1 (/ (cos y) (pow x 2))))) (/ (sin y) x)) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 2))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (sin y)))))) (* -1 (/ (cos y) (pow x 2))))) (/ (sin y) x)) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (pow (sin y) 4)) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (pow z 4) (pow (cos y) 4))) (* (pow x 4) (pow (sin y) 4))) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (pow z 4) (pow (cos y) 4))) (* (pow x 4) (pow (sin y) 4))) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (pow z 4) (pow (cos y) 4))) (* (pow x 4) (pow (sin y) 4))) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2))) (/ (pow (cos y) 2) (* x (sin y))))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (* z (- (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 4) (pow (sin y) 4)) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (pow (sin y) 4)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (pow (sin y) 4)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (pow (sin y) 4)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (pow (sin y) 4)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) x)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3))) x)) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (/.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 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) (patch (/.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 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (/.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 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) (patch (/.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 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (* -1 (* z (cos y)))) x))))) (taylor -inf x) (#s(alt (/.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 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) (patch (/.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 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (* x (sin y)))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) (* -1 (* z (cos y)))) x))))) (taylor -inf x) (#s(alt (/.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 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) (patch (/.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 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow (sin y) 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow (sin y) 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow (sin y) 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow (sin y) 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (pow (* (sin y) x) 4) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (pow (sin y) 2) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (* (+ (* (neg z) (cos y)) (* (sin y) x)) (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)))) (pow (* (sin y) x) 2)) |
| 8.0ms | y | @ | -inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (pow (* (sin y) x) 4) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (pow (sin y) 2) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (* (+ (* (neg z) (cos y)) (* (sin y) x)) (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)))) (pow (* (sin y) x) 2)) |
| 8.0ms | x | @ | -inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (pow (* (sin y) x) 4) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (pow (sin y) 2) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (* (+ (* (neg z) (cos y)) (* (sin y) x)) (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)))) (pow (* (sin y) x) 2)) |
| 7.0ms | z | @ | -inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (pow (* (sin y) x) 4) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (pow (sin y) 2) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (* (+ (* (neg z) (cos y)) (* (sin y) x)) (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)))) (pow (* (sin y) x) 2)) |
| 7.0ms | y | @ | inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (pow (* (sin y) x) 4) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (pow (sin y) 2) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (* (+ (* (neg z) (cos y)) (* (sin y) x)) (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)))) (pow (* (sin y) x) 2)) |
| 1× | egg-herbie |
| 11 922× | lower-fma.f64 |
| 11 922× | lower-fma.f32 |
| 7 262× | lower-*.f64 |
| 7 262× | lower-*.f32 |
| 3 630× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 823 | 7631 |
| 1 | 2889 | 7118 |
| 0 | 8775 | 6795 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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)) |
(* z (cos 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))) |
(* x y) |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x (sin 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 (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) |
(* (pow z 2) (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* x (sin y))))) |
(* (pow z 2) (- (* z (+ (* -1 (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3)))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(* (pow z 2) (- (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(/ (sin y) x) |
(+ (/ (sin y) x) (/ (* z (cos y)) (pow x 2))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (sin y))) (* -1 (/ (cos y) (pow x 2))))) (/ (sin y) x)) |
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 2))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (sin y)))))) (* -1 (/ (cos y) (pow x 2))))) (/ (sin y) x)) |
(* (pow x 4) (pow (sin y) 4)) |
(+ (* -1 (* (pow z 4) (pow (cos y) 4))) (* (pow x 4) (pow (sin y) 4))) |
(+ (* -1 (* (pow z 4) (pow (cos y) 4))) (* (pow x 4) (pow (sin y) 4))) |
(+ (* -1 (* (pow z 4) (pow (cos y) 4))) (* (pow x 4) (pow (sin y) 4))) |
(/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))) |
(* (pow z 2) (+ (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2))) (/ (pow (cos y) 2) (* x (sin y))))) |
(* (pow z 2) (+ (* z (- (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(+ (* x (sin y)) (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (+ (/ (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y))))) (* x (sin y))) (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2))))))) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
z |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* z (- (/ (* x (sin y)) z) (* -1 (cos y)))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (* -1 (cos y)))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (* -1 (cos y)))) |
(* z (cos y)) |
(* z (- (/ (* x (sin y)) z) (* -1 (cos y)))) |
(* z (- (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (* -1 (cos y)))) |
(* z (- (+ (/ (* x (sin y)) z) (+ (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))) (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2))))) (* -1 (cos y)))) |
(* -1 (/ (pow (sin y) 2) (* z (cos y)))) |
(/ (+ (* -1 (/ (* x (pow (sin y) 3)) (* z (pow (cos y) 2)))) (* -1 (/ (pow (sin y) 2) (cos y)))) z) |
(/ (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 4)) (* (pow z 2) (pow (cos y) 3)))) (* -1 (/ (pow (sin y) 2) (cos y)))) (/ (* x (pow (sin y) 3)) (* z (pow (cos y) 2)))) z) |
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 5)) (* (pow z 3) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (cos y)))) (+ (/ (* x (pow (sin y) 3)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 4)) (* (pow z 2) (pow (cos y) 3))))) z) |
(* -1 (* (pow z 4) (pow (cos y) 4))) |
(* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4))) |
(* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4))) |
(* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4))) |
(* -1 (* z (cos y))) |
(* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))) |
(* z (- (+ (* -1 (cos y)) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (/ (* x (sin y)) z))) |
(* z (- (+ (* -1 (cos y)) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2))))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (pow z 2)))) (* -1 (/ (* x (sin y)) z)))) |
(* z (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2))) (+ (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (cos y)) (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2)))) (pow z 3)))) (+ (* -1 (/ (* x (sin y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
z |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* z (cos y)) |
(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) (cos y)))) |
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z)) (* x (sin y))) z)) (cos y)))) |
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z)) (* x (sin y))) z)) (cos y)))) |
(* z (cos y)) |
(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) (cos y)))) |
(* -1 (* z (- (* -1 (/ (+ (* x (sin y)) (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) z)) (cos y)))) |
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))))) z)) (* x (sin y))) z)) (cos y)))) |
(* -1 (/ (pow (sin y) 2) (* z (cos y)))) |
(* -1 (/ (+ (/ (* x (pow (sin y) 3)) (* z (pow (cos y) 2))) (/ (pow (sin y) 2) (cos y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 4)) (* z (pow (cos y) 3)))) (/ (* x (pow (sin y) 3)) (pow (cos y) 2))) z)) (/ (pow (sin y) 2) (cos y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 5)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 2) (pow (sin y) 4)) (pow (cos y) 3)))) z)) (/ (* x (pow (sin y) 3)) (pow (cos y) 2))) z)) (/ (pow (sin y) 2) (cos y))) z)) |
(* -1 (* (pow z 4) (pow (cos y) 4))) |
(* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4))) |
(* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4))) |
(* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4))) |
(* -1 (* z (cos y))) |
(* -1 (* z (+ (cos y) (/ (* x (sin y)) z)))) |
(* -1 (* z (+ (cos y) (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) (* x (sin y))) z))))) |
(* -1 (* z (+ (cos y) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y)))) z)) (* x (sin y))) z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) (* -1 (* x (sin y)))) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (* z (cos y)))) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2)))) (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y)))) z)) (* -1 (* x (sin y)))) z))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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)))) |
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)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
z |
(- (* x y) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (/ (pow x 2) z))) z)))) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (+ (* y (- (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x))) (/ (pow x 3) (pow z 2)))) (/ (pow x 2) z)))) z)))) (* -1 z)) |
z |
(- (* x y) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* 1/2 z) (/ (pow x 2) z)) z)))) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* 1/2 z) (+ (* y (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x)))) (/ (pow x 2) z))) z)))) (* -1 z)) |
(* -1 (/ (pow y 2) z)) |
(* (pow y 2) (- (* -1 (/ (* x y) (pow z 2))) (/ 1 z))) |
(* (pow y 2) (- (* y (- (* y (- (* 1/3 (/ 1 z)) (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))) |
(* (pow y 2) (- (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* 1/3 (/ 1 z)) (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) z)) (+ (* -1/6 (/ x (pow z 2))) (* 1/2 (/ x (pow z 2))))))) (* 1/3 (/ 1 z))) (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))) |
(* -1 (pow z 4)) |
(- (* 2 (* (pow y 2) (pow z 4))) (pow z 4)) |
(- (* (pow y 2) (- (* (pow y 2) (- (pow x 4) (* 5/3 (pow z 4)))) (* -2 (pow z 4)))) (pow z 4)) |
(- (* (pow y 2) (- (* (pow y 2) (- (+ (* (pow y 2) (- (* -2/3 (pow x 4)) (* -34/45 (pow z 4)))) (pow x 4)) (* 5/3 (pow z 4)))) (* -2 (pow z 4)))) (pow z 4)) |
(* (pow x 4) (pow y 4)) |
(* (pow y 4) (+ (* -2/3 (* (pow x 4) (pow y 2))) (pow x 4))) |
(* (pow y 4) (+ (* (pow y 2) (+ (* -2/3 (pow x 4)) (* 1/5 (* (pow x 4) (pow y 2))))) (pow x 4))) |
(* (pow y 4) (+ (* (pow y 2) (+ (* -2/3 (pow x 4)) (* (pow y 2) (+ (* -34/945 (* (pow x 4) (pow y 2))) (* 1/5 (pow x 4)))))) (pow x 4))) |
(* -1 z) |
(+ (* -1 z) (* -1 (* x y))) |
(+ (* -1 z) (* y (- (* y (- z (+ (* 1/2 z) (/ (pow x 2) z)))) x))) |
(+ (* -1 z) (* y (- (* y (- (+ z (* -1 (* y (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x)))))) (+ (* 1/2 z) (/ (pow x 2) z)))) x))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3)))) |
z |
(+ z (* x y)) |
(+ z (* y (- (* y (- (* -2 z) (+ (* -1 (/ (+ (* -1 (* z (+ (* -1 (pow z 2)) (pow x 2)))) (* 1/2 (pow z 3))) (pow z 2))) (* -1 (/ (pow x 2) z))))) (* -1 x)))) |
(+ z (* y (- (* y (- (+ (* -2 z) (* -1 (* y (+ (* -1 (/ (* x (+ (* -1 (* z (+ (* -1 (pow z 2)) (pow x 2)))) (* 1/2 (pow z 3)))) (pow z 3))) (+ (* -1 (/ (* x (- (* -2 z) (+ (* -1 (/ (+ (* -1 (* z (+ (* -1 (pow z 2)) (pow x 2)))) (* 1/2 (pow z 3))) (pow z 2))) (* -1 (/ (pow x 2) z))))) z)) (* -1 (/ (+ (* -1/6 (* x (pow z 2))) (* x (+ (* -1 (pow z 2)) (pow x 2)))) (pow z 2)))))))) (+ (* -1 (/ (+ (* -1 (* z (+ (* -1 (pow z 2)) (pow x 2)))) (* 1/2 (pow z 3))) (pow z 2))) (* -1 (/ (pow x 2) z))))) (* -1 x)))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(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 y) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(/ (pow (sin y) 2) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (pow (sin y) 2) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (pow (sin y) 2) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (pow (sin y) 2) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) |
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) |
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) |
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) |
(* (pow x 4) (pow (sin y) 4)) |
(* (pow x 4) (pow (sin y) 4)) |
(* (pow x 4) (pow (sin y) 4)) |
(* (pow x 4) (pow (sin y) 4)) |
(/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))))) |
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))))) |
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))))) |
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))))) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(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 y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(/ (pow (sin y) 2) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (pow (sin y) 2) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (pow (sin y) 2) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (pow (sin y) 2) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) |
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) |
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) |
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) |
(* (pow x 4) (pow (sin y) 4)) |
(* (pow x 4) (pow (sin y) 4)) |
(* (pow x 4) (pow (sin y) 4)) |
(* (pow x 4) (pow (sin y) 4)) |
(/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))))) |
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))))) |
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))))) |
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))))) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* z (cos y)) |
(- (* x (sin y)) (* -1 (* z (cos y)))) |
(- (* x (+ (sin y) (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))))) (* -1 (* z (cos y)))) |
(- (* x (+ (sin y) (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))))) (* -1 (* z (cos y)))) |
(* z (cos y)) |
(- (* x (sin y)) (* -1 (* z (cos y)))) |
(- (* x (+ (sin y) (/ (* x (pow (sin y) 2)) (* z (cos y))))) (* -1 (* z (cos y)))) |
(- (* x (+ (sin y) (* x (+ (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 2))) (/ (pow (sin y) 2) (* z (cos y))))))) (* -1 (* z (cos y)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1 (/ (pow (sin y) 2) (* z (cos y)))) |
(+ (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 2)))) (* -1 (/ (pow (sin y) 2) (* z (cos y))))) |
(+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (* x (- (* -1 (/ (* x (pow (sin y) 4)) (* (pow z 3) (pow (cos y) 3)))) (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2)))))) |
(+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 5)) (* (pow z 4) (pow (cos y) 4)))) (/ (pow (sin y) 4) (* (pow z 3) (pow (cos y) 3))))) (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2)))))) |
(* -1 (* (pow z 4) (pow (cos y) 4))) |
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) |
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) |
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) |
(* (pow x 4) (pow (sin y) 4)) |
(* (pow x 4) (pow (sin y) 4)) |
(* (pow x 4) (pow (sin y) 4)) |
(* (pow x 4) (pow (sin y) 4)) |
(* -1 (* z (cos y))) |
(+ (* -1 (* x (sin y))) (* -1 (* z (cos y)))) |
(+ (* -1 (* z (cos y))) (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* z (cos y)))) (sin y)))) |
(+ (* -1 (* z (cos y))) (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* z (cos y))))) (sin y)))) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y)))))) (* -1 (sin y)))) (* z (cos y))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2)))) (+ (/ (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))) (* z (cos y))) (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2))))))) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y)))))) (* -1 (sin y)))) (* z (cos y))) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x y) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (pow x 2)))) (* -1 (/ (* z (cos y)) x)))) |
(* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (pow x 2)))) (* -1 (/ (* z (cos y)) x)))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) |
(/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3))))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 5) (pow (cos y) 5)) (* (pow x 3) (pow (sin y) 4)))))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ (sin y) x) |
(/ (+ (sin y) (/ (* z (cos y)) x)) x) |
(/ (- (+ (sin y) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (* -1 (/ (* z (cos y)) x))) x) |
(/ (- (+ (sin y) (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 2)))) (+ (* -1 (/ (* z (cos y)) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))))) x) |
(* (pow x 4) (pow (sin y) 4)) |
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4))) |
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4))) |
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4))) |
(* (pow x 4) (pow (sin y) 4)) |
(* (pow x 4) (pow (sin y) 4)) |
(* (pow x 4) (pow (sin y) 4)) |
(* (pow x 4) (pow (sin y) 4)) |
(/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))) |
(/ (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) x) |
(/ (- (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) x) |
(/ (- (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 5) (pow (cos y) 5)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))))) x) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (pow x 2)))) (* -1 (/ (* z (cos y)) x)))) |
(* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (+ (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) (pow x 3)))) (+ (* -1 (/ (* z (cos y)) x)) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y))))))) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (* -1 (* z (cos y)))) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (* -1 (* z (cos y)))) x))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) |
(* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3)) (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ (sin y) x) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))) x)) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))) (* -1 (* z (cos y)))) x))) x)) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x)) (* -1 (* z (cos y)))) x))) x)) |
(* (pow x 4) (pow (sin y) 4)) |
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4))) |
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4))) |
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4))) |
(* (pow x 4) (pow (sin y) 4)) |
(* (pow x 4) (pow (sin y) 4)) |
(* (pow x 4) (pow (sin y) 4)) |
(* (pow x 4) (pow (sin y) 4)) |
(/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) x)) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3))) x)) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (* -1 (* z (cos y)))) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (* x (sin y)))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) (* -1 (* z (cos y)))) x))))) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
| Outputs |
|---|
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* 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) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x y) |
(*.f64 y x) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) z (cos.f64 y)) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) z (cos.f64 y)) z (*.f64 (sin.f64 y) x)) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) |
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (sin.f64 y))) |
(* (pow z 2) (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* x (sin y))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (sin.f64 y)))) (*.f64 z z)) |
(* (pow z 2) (- (* z (+ (* -1 (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3)))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(*.f64 (fma.f64 (neg.f64 z) (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (neg.f64 (sin.f64 y)))) (*.f64 z z)) |
(* (pow z 2) (- (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x x)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (neg.f64 (sin.f64 y)))) (*.f64 z z)) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(+ (/ (sin y) x) (/ (* z (cos y)) (pow x 2))) |
(fma.f64 (/.f64 (cos.f64 y) x) (/.f64 z x) (/.f64 (sin.f64 y) x)) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (sin y))) (* -1 (/ (cos y) (pow x 2))))) (/ (sin y) x)) |
(fma.f64 (fma.f64 (/.f64 z (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (cos.f64 y) (*.f64 x x))) z (/.f64 (sin.f64 y) x)) |
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 2))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (sin y)))))) (* -1 (/ (cos y) (pow x 2))))) (/ (sin y) x)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sin.f64 y)))) z (/.f64 (cos.f64 y) (*.f64 x x))) z (/.f64 (sin.f64 y) x)) |
(* (pow x 4) (pow (sin y) 4)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(+ (* -1 (* (pow z 4) (pow (cos y) 4))) (* (pow x 4) (pow (sin y) 4))) |
(fma.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
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(/.f64 (fma.f64 z (*.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y))) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x)))) x)) x) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3))) x)) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)) x) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 x))) x))) (neg.f64 x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (* -1 (* z (cos y)))) x))))) |
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (* x (sin y)))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) (* -1 (* z (cos y)))) x))))) |
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 (cos.f64 y) x))) (neg.f64 x)) (*.f64 (cos.f64 y) z)) x))) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
| 5 438× | lower-/.f32 |
| 5 432× | lower-/.f64 |
| 5 260× | lower-fma.f32 |
| 5 252× | lower-fma.f64 |
| 4 884× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 203 |
| 0 | 59 | 145 |
| 1 | 243 | 145 |
| 2 | 1788 | 145 |
| 0 | 9196 | 145 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(sin.f64 y) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(fma.f64 y x z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) x) |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(*.f64 x x) |
(/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) |
(/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(/.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 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))) (/.f64 (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)))) (/.f64 (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))) (/.f64 (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)))) (/.f64 (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)))) (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))))) |
(*.f64 (/.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 8 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 8 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 8 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 8 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 4 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 8 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 8 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 8 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 8 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 12 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 12 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 8 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 8 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 12 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 12 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 8 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 8 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 8 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 12 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 8 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 8 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 2 binary64)))) |
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(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))) (/.f64 (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) #s(literal 0 binary64)) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) (/.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -2 binary64))) #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(+.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (*.f64 (*.f64 x (sin.f64 y)) x) #s(literal 1 binary64)) (sin.f64 y)) |
(*.f64 (pow.f64 (*.f64 (*.f64 x x) (sin.f64 y)) #s(literal 1 binary64)) (sin.f64 y)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) x) (sin.f64 y)) |
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y)) x) |
(*.f64 (*.f64 (*.f64 x x) (sin.f64 y)) (sin.f64 y)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(*.f64 (*.f64 x (sin.f64 y)) (*.f64 x (sin.f64 y))) |
(*.f64 x (pow.f64 (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 x (*.f64 (sin.f64 y) (*.f64 x (sin.f64 y)))) |
(*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(*.f64 (sin.f64 y) (pow.f64 (*.f64 (sin.f64 y) (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (sin.f64 y) (pow.f64 (*.f64 x (*.f64 x (sin.f64 y))) #s(literal 1 binary64))) |
(*.f64 (sin.f64 y) (*.f64 (sin.f64 y) (*.f64 x x))) |
(*.f64 (sin.f64 y) (*.f64 x (*.f64 x (sin.f64 y)))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 x (sin.f64 y)))) |
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) |
(exp.f64 (fma.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
Compiled 132 922 to 3 908 computations (97.1% saved)
29 alts after pruning (26 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 667 | 23 | 2 690 |
| Fresh | 9 | 3 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 678 | 29 | 2 707 |
| Status | Accuracy | Program |
|---|---|---|
| 56.2% | (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) | |
| 82.2% | (fma.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (cos.f64 y)) #s(literal -1 binary64)) (/.f64 z (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) | |
| 63.9% | (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) | |
| 47.4% | (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -2 binary64))))) | |
| 72.2% | (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))))) | |
| 47.7% | (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))) | |
| 48.7% | (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (neg.f64 z)))) | |
| 52.8% | (fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| ▶ | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| ▶ | 55.6% | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
| 56.1% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) | |
| 86.1% | #s(approx (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (* (+ (* (neg z) (cos y)) (* (sin y) x)) (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)))) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) | |
| 93.1% | #s(approx (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (* (+ (* (neg z) (cos y)) (* (sin y) x)) (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)))) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) | |
| 62.8% | #s(approx (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (* (+ (* (neg z) (cos y)) (* (sin y) x)) (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)))) (*.f64 (cos.f64 y) z)) | |
| 33.6% | #s(approx (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) y x) y z)) | |
| 50.3% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| 50.6% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) | |
| ✓ | 51.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| ▶ | 19.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x)) |
| ✓ | 38.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
| 16.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.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)) x)) | |
| 15.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x)) | |
| 49.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z))) | |
| 38.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) | |
| ▶ | 49.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
| ▶ | 16.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
| 16.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) | |
| 15.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
Compiled 1 004 to 658 computations (34.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) | |
| cost-diff | 40320 | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (sin.f64 y)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x)) | |
| cost-diff | 7104 | (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) | |
| cost-diff | 1280 | (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (* y x) z) (*.f64 y x)) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 5 482× | lower-fma.f32 |
| 5 476× | lower-fma.f64 |
| 2 496× | lower-*.f32 |
| 2 488× | lower-*.f64 |
| 1 620× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 265 |
| 0 | 61 | 237 |
| 1 | 98 | 234 |
| 2 | 211 | 231 |
| 3 | 622 | 231 |
| 4 | 2104 | 219 |
| 5 | 5980 | 219 |
| 0 | 8070 | 212 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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 (+ (* x (sin y)) (* 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 (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) |
(neg.f64 z) |
z |
(fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) |
(neg.f64 x) |
x |
(/.f64 y z) |
y |
#s(literal -1 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x)) |
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x) |
(pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) |
(sqrt.f64 (sin.f64 y)) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
x |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(neg.f64 z) |
z |
(cos.f64 y) |
y |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
#s(literal -1 binary64) |
(pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) z) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(cos.f64 y) |
y |
z |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
x |
#s(approx (+ (* x (sin y)) (* 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 (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 y x z))) |
#s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) |
#s(approx (+ (* y x) z) (fma.f64 y x z)) |
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) |
(fma.f64 y x z) |
(neg.f64 z) |
z |
(fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) |
(fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64)) |
(neg.f64 x) |
x |
(/.f64 y z) |
y |
#s(literal -1 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) |
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x) |
(*.f64 x (sin.f64 y)) |
(pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) |
(sin.f64 y) |
(sqrt.f64 (sin.f64 y)) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
x |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) |
(neg.f64 z) |
z |
(cos.f64 y) |
y |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
x |
#s(literal -1 binary64) |
(pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.13205948876386137 | (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) | |
| accuracy | 0.135097509768442 | (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) | |
| accuracy | 1.3515563074906176 | (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) | |
| accuracy | 13.51656536439426 | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) | |
| accuracy | 0.03125 | (sqrt.f64 (sin.f64 y)) | |
| accuracy | 0.0546875 | (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x) | |
| accuracy | 0.19921875 | (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) | |
| accuracy | 20.636582392179925 | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x)) | |
| accuracy | 0 | #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) | |
| accuracy | 0.7363871626185368 | (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) | |
| accuracy | 3.102745465655291 | (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) | |
| accuracy | 15.534142330875873 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 15.534142330875873 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) | |
| accuracy | 18.263753800178048 | #s(approx (+ (* y x) z) (*.f64 y x)) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.04296875 | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) | |
| accuracy | 0.0546875 | (*.f64 (sin.f64 y) x) |
| 67.0ms | 123× | 0 | invalid |
| 61.0ms | 133× | 0 | valid |
Compiled 223 to 34 computations (84.8% saved)
ival-add: 27.0ms (34.1% of total)ival-mult: 16.0ms (20.2% of total)ival-cos: 8.0ms (10.1% of total)ival-pow: 8.0ms (10.1% of total)ival-sin: 6.0ms (7.6% of total)ival-pow2: 6.0ms (7.6% of total)ival-div: 4.0ms (5.1% of total)ival-sqrt: 2.0ms (2.5% of total)ival-neg: 2.0ms (2.5% of total)ival-sub: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (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 (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (patch #s(approx (+ (* x (sin y)) (* 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 (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) (patch #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) (patch (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (sin.f64 y)) (patch (sqrt.f64 (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (patch (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (patch (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (sin y)) (taylor 0 z) (#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 (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#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 (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#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 (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#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 (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 y x)) (patch #s(approx (+ (* y x) z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 y x)) (patch #s(approx (+ (* y x) z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 y x)) (patch #s(approx (+ (* y x) z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 y x)) (patch #s(approx (+ (* y x) z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) (patch #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) (patch #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) (patch #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) (patch #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | 0 | ((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (neg z) (pow (sqrt (sin y)) 2) (+ (* x (sin y)) (* z (cos y))) (* (pow (sqrt (sin y)) 2) x) (sqrt (sin y)) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (+ (* (neg x) (/ y z)) -1) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) |
| 5.0ms | z | @ | inf | ((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (neg z) (pow (sqrt (sin y)) 2) (+ (* x (sin y)) (* z (cos y))) (* (pow (sqrt (sin y)) 2) x) (sqrt (sin y)) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (+ (* (neg x) (/ y z)) -1) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) |
| 4.0ms | y | @ | inf | ((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (neg z) (pow (sqrt (sin y)) 2) (+ (* x (sin y)) (* z (cos y))) (* (pow (sqrt (sin y)) 2) x) (sqrt (sin y)) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (+ (* (neg x) (/ y z)) -1) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) |
| 4.0ms | y | @ | -inf | ((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (neg z) (pow (sqrt (sin y)) 2) (+ (* x (sin y)) (* z (cos y))) (* (pow (sqrt (sin y)) 2) x) (sqrt (sin y)) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (+ (* (neg x) (/ y z)) -1) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) |
| 4.0ms | x | @ | 0 | ((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (neg z) (pow (sqrt (sin y)) 2) (+ (* x (sin y)) (* z (cos y))) (* (pow (sqrt (sin y)) 2) x) (sqrt (sin y)) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (+ (* (neg x) (/ y z)) -1) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) |
| 1× | egg-herbie |
| 8 036× | lower-fma.f64 |
| 8 036× | lower-fma.f32 |
| 6 974× | lower-*.f64 |
| 6 974× | lower-*.f32 |
| 2 504× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 563 | 6769 |
| 1 | 1831 | 6642 |
| 2 | 6483 | 6587 |
| 0 | 8438 | 6251 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (sin 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))) |
(* x y) |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x y) |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x y) |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* x (sin 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))) |
(/ 1 (* x (sin y))) |
(+ (/ 1 (* x (sin y))) (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))) |
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))) |
(* x (sin y)) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(* -1 (/ (* x y) z)) |
(/ (+ (* -1 z) (* -1 (* x y))) z) |
(/ (+ (* -1 z) (* -1 (* x y))) z) |
(/ (+ (* -1 z) (* -1 (* x y))) z) |
(* (pow x 2) (pow (sin y) 2)) |
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2))) |
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2))) |
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2))) |
(/ 1 (* (pow x 2) (pow (sin y) 2))) |
(+ (/ 1 (* (pow x 2) (pow (sin y) 2))) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 4) (pow (sin y) 4)))) |
(+ (* (pow z 2) (- (/ (* (pow z 2) (pow (cos y) 4)) (* (pow x 6) (pow (sin y) 6))) (* -1 (/ (pow (cos y) 2) (* (pow x 4) (pow (sin y) 4)))))) (/ 1 (* (pow x 2) (pow (sin y) 2)))) |
(+ (* (pow z 2) (- (* (pow z 2) (- (/ (* (pow z 2) (pow (cos y) 6)) (* (pow x 8) (pow (sin y) 8))) (* -1 (/ (pow (cos y) 4) (* (pow x 6) (pow (sin y) 6)))))) (* -1 (/ (pow (cos y) 2) (* (pow x 4) (pow (sin y) 4)))))) (/ 1 (* (pow x 2) (pow (sin y) 2)))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
z |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
z |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
z |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(/ -1 (* z (cos y))) |
(/ (- (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z) |
(/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z) |
(/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (+ (/ 1 (cos y)) (+ (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))) z) |
(* -1 (* z (cos y))) |
(* z (+ (* -1 (cos y)) (/ (* x (sin y)) z))) |
(* z (+ (* -1 (cos y)) (/ (* x (sin y)) z))) |
(* z (+ (* -1 (cos y)) (/ (* x (sin y)) z))) |
-1 |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(/ -1 (* (pow z 2) (pow (cos y) 2))) |
(/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4)))) (/ 1 (pow (cos y) 2))) (pow z 2)) |
(/ (- (* -1 (/ (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 6)))) (+ (/ 1 (pow (cos y) 2)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4))))) (pow z 2)) |
(/ (- (* -1 (/ (* (pow x 6) (pow (sin y) 6)) (* (pow z 6) (pow (cos y) 8)))) (+ (/ 1 (pow (cos y) 2)) (+ (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4))) (/ (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 6)))))) (pow z 2)) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
z |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
z |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* z (cos y)) |
(* -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 (cos y))) |
(* -1 (/ (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(* -1 (* z (cos y))) |
(* -1 (* z (+ (cos y) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (cos y) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (cos y) (* -1 (/ (* x (sin y)) z))))) |
-1 |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(/ -1 (* (pow z 2) (pow (cos y) 2))) |
(/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4)))) (/ 1 (pow (cos y) 2))) (pow z 2)) |
(/ (- (* -1 (/ (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 6)))) (+ (/ 1 (pow (cos y) 2)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4))))) (pow z 2)) |
(/ (- (* -1 (/ (* (pow x 6) (pow (sin y) 6)) (* (pow z 6) (pow (cos y) 8)))) (+ (/ 1 (pow (cos y) 2)) (+ (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4))) (/ (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 6)))))) (pow z 2)) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
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)))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x 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)))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(sqrt y) |
(+ (sqrt y) (* -1/12 (sqrt (pow y 5)))) |
(+ (sqrt y) (* (pow y 3) (+ (* -1/12 (sqrt (/ 1 y))) (* 1/240 (sqrt (pow y 3)))))) |
(+ (sqrt y) (* (pow y 3) (+ (* -1/12 (sqrt (/ 1 y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ 1 y))) (* 1/240 (sqrt (/ 1 y)))))))) |
z |
(+ z (* x y)) |
(+ z (* y (- (* y (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x)))) |
(+ z (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) z)) (+ (* -1/2 x) (* 1/6 x))))) (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z))) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x)))) |
(/ -1 z) |
(- (* -1 (/ (* x y) (pow z 2))) (/ 1 z)) |
(- (* y (- (* -1 (* y (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)) |
(- (* y (- (* y (- (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3)))) z))))) (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)) |
(* -1 z) |
(+ (* -1 z) (* x y)) |
(+ (* -1 z) (* y (+ x (* 1/2 (* y z))))) |
(+ (* -1 z) (* y (+ x (* y (+ (* -1/6 (* x y)) (* 1/2 z)))))) |
-1 |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(* -1 (pow z 2)) |
(- (* (pow y 2) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2)) |
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow x 2)) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2)) |
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow x 2)) (* (pow y 2) (- (* 2/45 (pow x 2)) (* -2/45 (pow z 2))))) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2))) |
(/ -1 (pow z 2)) |
(- (* -1 (* (pow y 2) (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))))) (/ 1 (pow z 2))) |
(- (* (pow y 2) (- (* (pow y 2) (- (* 1/3 (/ 1 (pow z 2))) (+ (* -1/3 (/ (pow x 2) (pow z 4))) (/ (* (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2))))) (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))))) (/ 1 (pow z 2))) |
(- (* (pow y 2) (- (* (pow y 2) (- (+ (* -1 (* (pow y 2) (+ (* -1 (/ (* (- (* 1/3 (/ 1 (pow z 2))) (+ (* -1/3 (/ (pow x 2) (pow z 4))) (/ (* (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2)))) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2))) (+ (* 2/45 (/ 1 (pow z 2))) (+ (* 2/45 (/ (pow x 2) (pow z 4))) (/ (* (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))) (- (* -1/3 (pow x 2)) (* 1/3 (pow z 2)))) (pow z 2))))))) (* 1/3 (/ 1 (pow z 2)))) (+ (* -1/3 (/ (pow x 2) (pow z 4))) (/ (* (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2))))) (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))))) (/ 1 (pow z 2))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin 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 y) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z 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 y) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(sqrt (sin y)) |
(sqrt (sin y)) |
(sqrt (sin y)) |
(sqrt (sin y)) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ 1 (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ 1 (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ 1 (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ 1 (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(* -1 (/ (* x y) z)) |
(* y (- (* -1 (/ x z)) (/ 1 y))) |
(* y (- (* -1 (/ x z)) (/ 1 y))) |
(* y (- (* -1 (/ x z)) (/ 1 y))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(/ 1 (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) |
(/ 1 (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) |
(/ 1 (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) |
(/ 1 (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin 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 y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z 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 y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(sqrt (sin y)) |
(sqrt (sin y)) |
(sqrt (sin y)) |
(sqrt (sin y)) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ 1 (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ 1 (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ 1 (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ 1 (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(* -1 (/ (* x y) z)) |
(* -1 (* y (+ (/ 1 y) (/ x z)))) |
(* -1 (* y (+ (/ 1 y) (/ x z)))) |
(* -1 (* y (+ (/ 1 y) (/ x z)))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(/ 1 (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) |
(/ 1 (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) |
(/ 1 (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) |
(/ 1 (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin 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))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin 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))) |
(/ -1 (* z (cos y))) |
(- (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y)))) |
(- (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3)))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))) |
(- (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))) |
(* -1 (* z (cos y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
-1 |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(/ -1 (* (pow z 2) (pow (cos y) 2))) |
(- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 4) (pow (cos y) 4)))) (/ 1 (* (pow z 2) (pow (cos y) 2)))) |
(- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (pow (sin y) 4)) (* (pow z 6) (pow (cos y) 6)))) (/ (pow (sin y) 2) (* (pow z 4) (pow (cos y) 4))))) (/ 1 (* (pow z 2) (pow (cos y) 2)))) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (pow (sin y) 6)) (* (pow z 8) (pow (cos y) 8)))) (/ (pow (sin y) 4) (* (pow z 6) (pow (cos y) 6))))) (/ (pow (sin y) 2) (* (pow z 4) (pow (cos y) 4))))) (/ 1 (* (pow z 2) (pow (cos y) 2)))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x y) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x y) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(/ 1 (* x (sin y))) |
(/ (+ (/ 1 (sin y)) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2))))) x) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) x) |
(* x (sin y)) |
(* x (+ (sin y) (* -1 (/ (* z (cos y)) x)))) |
(* x (+ (sin y) (* -1 (/ (* z (cos y)) x)))) |
(* x (+ (sin y) (* -1 (/ (* z (cos y)) x)))) |
(* -1 (/ (* x y) z)) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(/ 1 (* (pow x 2) (pow (sin y) 2))) |
(/ (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (pow x 2)) |
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4))))) (pow x 2)) |
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 6) (pow (cos y) 6)) (* (pow x 6) (pow (sin y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))))) (pow x 2)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(/ 1 (* x (sin y))) |
(* -1 (/ (- (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x)))) |
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x)))) |
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x)))) |
(* -1 (/ (* x y) z)) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(/ 1 (* (pow x 2) (pow (sin y) 2))) |
(/ (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (pow x 2)) |
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4))))) (pow x 2)) |
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 6) (pow (cos y) 6)) (* (pow x 6) (pow (sin y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))))) (pow x 2)) |
| Outputs |
|---|
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x y) |
(*.f64 y x) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(* x y) |
(*.f64 y x) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x y) |
(*.f64 y x) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(+ (/ 1 (* x (sin y))) (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) |
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(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(/ 1 (* (pow x 2) (pow (sin y) 2))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(/ (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 x x)) |
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (*.f64 x x)) |
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 6) (pow (cos y) 6)) (* (pow x 6) (pow (sin y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sin.f64 y) #s(literal 8 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (*.f64 x x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(* -1 (/ (- (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (cos.f64 y) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) x)) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x)))) |
(*.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 z x) (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x)))) |
(*.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 z x) (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x)))) |
(*.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 z x) (sin.f64 y)) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z)) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z)) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z)) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(/ 1 (* (pow x 2) (pow (sin y) 2))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(/ (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 x x)) |
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (*.f64 x x)) |
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 6) (pow (cos y) 6)) (* (pow x 6) (pow (sin y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sin.f64 y) #s(literal 8 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (*.f64 x x)) |
| 10 600× | lower-fma.f32 |
| 10 594× | lower-fma.f64 |
| 4 184× | lower-*.f32 |
| 4 176× | lower-*.f64 |
| 3 190× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 221 |
| 0 | 61 | 192 |
| 1 | 225 | 190 |
| 2 | 1385 | 187 |
| 0 | 8429 | 180 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(cos.f64 y) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (+ (* y x) z) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) |
(neg.f64 z) |
(pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x)) |
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x) |
(sqrt.f64 (sin.f64 y)) |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
(pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64))) (pow.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) #s(literal -1 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (+.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (+.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 2 binary64))))) |
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(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))))) |
Compiled 43 466 to 3 244 computations (92.5% saved)
33 alts after pruning (27 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 558 | 15 | 1 573 |
| Fresh | 9 | 12 | 21 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 569 | 33 | 1 602 |
| Status | Accuracy | Program |
|---|---|---|
| 82.2% | (fma.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (cos.f64 y)) #s(literal -1 binary64)) (/.f64 z (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) | |
| 63.9% | (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) | |
| ▶ | 72.9% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) z (*.f64 (sin.f64 y) x)) |
| 72.2% | (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))))) | |
| 47.7% | (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))) | |
| 48.7% | (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (neg.f64 z)))) | |
| 52.8% | (fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 34.4% | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)))) | |
| 51.9% | (*.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) #s(literal -1/2 binary64))) | |
| 52.0% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) | |
| ▶ | 93.1% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
| 86.1% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) | |
| 62.8% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (cos.f64 y) z)) | |
| 33.6% | #s(approx (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) y x) y z)) | |
| 50.6% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) | |
| ✓ | 51.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| ✓ | 19.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x)) |
| ✓ | 38.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
| 16.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.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)) x)) | |
| 15.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x)) | |
| 49.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z))) | |
| 43.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 y z) (*.f64 (neg.f64 x) (neg.f64 z)) z))) | |
| ▶ | 27.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
| 38.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) | |
| 49.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))))) | |
| 49.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64))))))) | |
| ▶ | 10.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))))) |
| ▶ | 38.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
| ✓ | 16.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
| 16.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (pow (sqrt (sin y)) 2) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) | |
| 15.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (pow (sqrt (sin y)) 2) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
Compiled 1 021 to 704 computations (31% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) z (*.f64 (sin.f64 y) x)) | |
| cost-diff | 5824 | (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) | |
| cost-diff | 8000 | (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) | |
| cost-diff | 448 | (/.f64 z (*.f64 (neg.f64 z) z)) | |
| cost-diff | 1280 | (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) | |
| cost-diff | 1280 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))) | |
| cost-diff | 0 | #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) z) | |
| cost-diff | 0 | (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) | |
| cost-diff | 0 | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) | |
| cost-diff | 704 | (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
| 4 442× | lower-fma.f32 |
| 4 436× | lower-fma.f64 |
| 2 934× | lower-*.f32 |
| 2 918× | lower-*.f64 |
| 1 342× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 389 |
| 0 | 88 | 370 |
| 1 | 156 | 360 |
| 2 | 329 | 340 |
| 3 | 1213 | 329 |
| 4 | 3653 | 305 |
| 5 | 5981 | 305 |
| 6 | 7723 | 305 |
| 0 | 8129 | 296 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
x |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))) |
(neg.f64 z) |
z |
#s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))))) |
#s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))) |
(*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))) |
(neg.f64 z) |
z |
#s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(neg.f64 y) |
y |
(/.f64 x z) |
x |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) |
#s(literal 1 binary64) |
(/.f64 z (*.f64 (neg.f64 z) z)) |
z |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
(fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) |
(neg.f64 x) |
x |
(/.f64 y z) |
y |
#s(literal -1 binary64) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) z (*.f64 (sin.f64 y) x)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) |
(pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) |
(cos.f64 y) |
y |
#s(literal 1/2 binary64) |
z |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
| Outputs |
|---|
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
x |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) (neg.f64 z)))) |
#s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))) |
#s(approx (+ (* y x) z) (*.f64 #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) (neg.f64 z))) |
(*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))) |
(*.f64 #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) (neg.f64 z)) |
(neg.f64 z) |
z |
#s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (/.f64 (neg.f64 y) z) x)) (neg.f64 z)))) |
#s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))) |
#s(approx (+ (* y x) z) (*.f64 #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (/.f64 (neg.f64 y) z) x)) (neg.f64 z))) |
(*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))) |
(*.f64 #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (/.f64 (neg.f64 y) z) x)) (neg.f64 z)) |
(neg.f64 z) |
z |
#s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))) |
#s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (/.f64 (neg.f64 y) z) x)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(neg.f64 y) |
y |
(/.f64 x z) |
x |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 x y z))) |
#s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) |
#s(approx (+ (* y x) z) (fma.f64 x y z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) |
(fma.f64 x y z) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) |
(neg.f64 z) |
#s(literal 1 binary64) |
(/.f64 z (*.f64 (neg.f64 z) z)) |
(/.f64 #s(literal -1 binary64) z) |
z |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
(fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) |
(fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64)) |
(neg.f64 x) |
x |
(/.f64 y z) |
y |
#s(literal -1 binary64) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) |
(cos.f64 y) |
(pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) |
(sqrt.f64 (cos.f64 y)) |
(cos.f64 y) |
y |
#s(literal 1/2 binary64) |
z |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0234375 | (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) | |
| accuracy | 0.03125 | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) z (*.f64 (sin.f64 y) x)) | |
| accuracy | 0.078125 | (*.f64 (sin.f64 y) x) | |
| accuracy | 0.1015625 | (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) | |
| accuracy | 0.2723646485307337 | (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) | |
| accuracy | 4.0635868881776425 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) | |
| accuracy | 14.157646750048409 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) | |
| accuracy | 22.37836660595882 | (/.f64 z (*.f64 (neg.f64 z) z)) | |
| accuracy | 3.8435034928146394 | (*.f64 (neg.f64 y) (/.f64 x z)) | |
| accuracy | 4.0635868881776425 | (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))) | |
| accuracy | 14.157646750048409 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))))) | |
| accuracy | 26.83522016134632 | #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))) | |
| accuracy | 0 | #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))) | |
| accuracy | 4.0635868881776425 | (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))) | |
| accuracy | 14.157646750048409 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) | |
| accuracy | 18.856308835400064 | #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) | |
| accuracy | 0 | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) | |
| accuracy | 0.05078125 | (/.f64 (sin.f64 y) z) | |
| accuracy | 0.05859375 | (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) | |
| accuracy | 3.131209360480389 | (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
| 204.0ms | 187× | 0 | valid |
| 26.0ms | 69× | 0 | invalid |
Compiled 257 to 46 computations (82.1% saved)
ival-mult: 83.0ms (64% of total)ival-div: 10.0ms (7.7% of total)ival-pow: 8.0ms (6.2% of total)ival-add: 6.0ms (4.6% of total)ival-cos: 6.0ms (4.6% of total)ival-sin: 5.0ms (3.9% of total)ival-pow2: 4.0ms (3.1% of total)ival-neg: 3.0ms (2.3% of total)ival-sqrt: 2.0ms (1.5% of total)ival-sub: 1.0ms (0.8% 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 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) (patch (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) (patch (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 y) z) (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))) (patch #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))) (patch #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))) (patch (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #<representation binary64>) () ()) |
#s(alt (/.f64 z (*.f64 (neg.f64 z) z)) (patch (/.f64 z (*.f64 (neg.f64 z) z)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) (patch (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (patch (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))) (patch #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 y) (/.f64 x z)) (patch (*.f64 (neg.f64 y) (/.f64 x z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (patch (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) (patch (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) (patch (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) (patch (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) (patch (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) (patch (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (sin y)) (* z (cos y))) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) (patch (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (sin y)) (* z (cos y))) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) (patch (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (sin y)) (* z (cos y))) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) (patch (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) z) (taylor 0 z) (#s(alt (/.f64 (sin.f64 y) z) (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) z) (taylor 0 z) (#s(alt (/.f64 (sin.f64 y) z) (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) z) (taylor 0 z) (#s(alt (/.f64 (sin.f64 y) z) (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) z) (taylor 0 z) (#s(alt (/.f64 (sin.f64 y) z) (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))) (patch #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))) (patch #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))) (patch #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))) (patch #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (* x y) z)) (taylor -inf x) (#s(alt #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))) (patch #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (/ 1 x) (/ y z)))) (taylor -inf x) (#s(alt #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))) (patch #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (/ 1 x) (/ y z)))) (taylor -inf x) (#s(alt #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))) (patch #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (/ 1 x) (/ y z)))) (taylor -inf x) (#s(alt #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))) (patch #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x y) z)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 y) (/.f64 x z)) (patch (*.f64 (neg.f64 y) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x y) z)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 y) (/.f64 x z)) (patch (*.f64 (neg.f64 y) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x y) z)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 y) (/.f64 x z)) (patch (*.f64 (neg.f64 y) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x y) z)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 y) (/.f64 x z)) (patch (*.f64 (neg.f64 y) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x y) z)) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (patch (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (/ 1 x) (/ y z)))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (patch (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (/ 1 x) (/ y z)))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (patch (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (/ 1 x) (/ y z)))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (patch (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | y | @ | inf | ((* (+ (* (/ (sin y) z) x) (cos y)) z) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (neg z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (* (/ 1 (/ z (* (neg z) z))) (+ (* (neg x) (/ y z)) -1)) (/ 1 (/ z (* (neg z) z))) (/ z (* (neg z) z)) (+ (* x (sin y)) (* z (cos y))) (* (pow (cos y) 1/2) (pow (cos y) 1/2)) (pow (cos y) 1/2) (+ (* (* (pow (cos y) 1/2) (pow (cos y) 1/2)) z) (* (sin y) x)) (cos y) (+ (* (neg x) (/ y z)) -1) (+ (* (neg x) (/ y z)) -1) (* (neg y) (/ x z)) (+ (* (neg x) (/ y z)) -1) (* (sin y) x)) |
| 4.0ms | y | @ | -inf | ((* (+ (* (/ (sin y) z) x) (cos y)) z) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (neg z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (* (/ 1 (/ z (* (neg z) z))) (+ (* (neg x) (/ y z)) -1)) (/ 1 (/ z (* (neg z) z))) (/ z (* (neg z) z)) (+ (* x (sin y)) (* z (cos y))) (* (pow (cos y) 1/2) (pow (cos y) 1/2)) (pow (cos y) 1/2) (+ (* (* (pow (cos y) 1/2) (pow (cos y) 1/2)) z) (* (sin y) x)) (cos y) (+ (* (neg x) (/ y z)) -1) (+ (* (neg x) (/ y z)) -1) (* (neg y) (/ x z)) (+ (* (neg x) (/ y z)) -1) (* (sin y) x)) |
| 3.0ms | z | @ | 0 | ((* (+ (* (/ (sin y) z) x) (cos y)) z) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (neg z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (* (/ 1 (/ z (* (neg z) z))) (+ (* (neg x) (/ y z)) -1)) (/ 1 (/ z (* (neg z) z))) (/ z (* (neg z) z)) (+ (* x (sin y)) (* z (cos y))) (* (pow (cos y) 1/2) (pow (cos y) 1/2)) (pow (cos y) 1/2) (+ (* (* (pow (cos y) 1/2) (pow (cos y) 1/2)) z) (* (sin y) x)) (cos y) (+ (* (neg x) (/ y z)) -1) (+ (* (neg x) (/ y z)) -1) (* (neg y) (/ x z)) (+ (* (neg x) (/ y z)) -1) (* (sin y) x)) |
| 3.0ms | z | @ | inf | ((* (+ (* (/ (sin y) z) x) (cos y)) z) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (neg z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (* (/ 1 (/ z (* (neg z) z))) (+ (* (neg x) (/ y z)) -1)) (/ 1 (/ z (* (neg z) z))) (/ z (* (neg z) z)) (+ (* x (sin y)) (* z (cos y))) (* (pow (cos y) 1/2) (pow (cos y) 1/2)) (pow (cos y) 1/2) (+ (* (* (pow (cos y) 1/2) (pow (cos y) 1/2)) z) (* (sin y) x)) (cos y) (+ (* (neg x) (/ y z)) -1) (+ (* (neg x) (/ y z)) -1) (* (neg y) (/ x z)) (+ (* (neg x) (/ y z)) -1) (* (sin y) x)) |
| 3.0ms | z | @ | -inf | ((* (+ (* (/ (sin y) z) x) (cos y)) z) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (neg z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (* (/ 1 (/ z (* (neg z) z))) (+ (* (neg x) (/ y z)) -1)) (/ 1 (/ z (* (neg z) z))) (/ z (* (neg z) z)) (+ (* x (sin y)) (* z (cos y))) (* (pow (cos y) 1/2) (pow (cos y) 1/2)) (pow (cos y) 1/2) (+ (* (* (pow (cos y) 1/2) (pow (cos y) 1/2)) z) (* (sin y) x)) (cos y) (+ (* (neg x) (/ y z)) -1) (+ (* (neg x) (/ y z)) -1) (* (neg y) (/ x z)) (+ (* (neg x) (/ y z)) -1) (* (sin y) x)) |
| 1× | egg-herbie |
| 14 338× | lower-fma.f64 |
| 14 338× | lower-fma.f32 |
| 4 234× | lower-*.f64 |
| 4 234× | lower-*.f32 |
| 3 636× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 218 | 4638 |
| 1 | 681 | 4539 |
| 2 | 1940 | 4522 |
| 3 | 5078 | 4433 |
| 0 | 8962 | 4047 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (sin 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))) |
(/ (* x (sin y)) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x y) |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x y) |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x y) |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x y) |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x y) |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(* x (sin 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))) |
(* -1 (/ (* x y) z)) |
(/ (+ (* -1 z) (* -1 (* x y))) z) |
(/ (+ (* -1 z) (* -1 (* x y))) z) |
(/ (+ (* -1 z) (* -1 (* x y))) z) |
(* -1 (/ (* x y) z)) |
(/ (+ (* -1 z) (* -1 (* x y))) z) |
(/ (+ (* -1 z) (* -1 (* x y))) z) |
(/ (+ (* -1 z) (* -1 (* x y))) z) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(/ (+ (* -1 z) (* -1 (* x y))) z) |
(/ (+ (* -1 z) (* -1 (* x y))) z) |
(/ (+ (* -1 z) (* -1 (* x y))) z) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(cos y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
z |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
z |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
z |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
z |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
z |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
-1 |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
-1 |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
-1 |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* z (cos y)) |
(* -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))))) |
(cos y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
z |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
z |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* z (cos y)) |
(* -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 |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
-1 |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
-1 |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
z |
(+ z (* x y)) |
(+ z (* y (- (* y (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x)))) |
(+ z (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) z)) (+ (* -1/2 x) (* 1/6 x))))) (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z))) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x)))) |
1 |
(+ 1 (/ (* x y) z)) |
(+ 1 (* y (+ (* -1/2 y) (/ x z)))) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z)))) |
(/ y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
1 |
(+ 1 (* -1/4 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* -1/96 (pow y 2)) 1/4))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -19/5760 (pow y 2)) 1/96)) 1/4))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
-1 |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
-1 |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
-1 |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x y) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* x y) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z 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 y) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* x y) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* x y) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z 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))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(sqrt (cos y)) |
(sqrt (cos y)) |
(sqrt (cos y)) |
(sqrt (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))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* -1 (/ (* x y) z)) |
(* y (- (* -1 (/ x z)) (/ 1 y))) |
(* y (- (* -1 (/ x z)) (/ 1 y))) |
(* y (- (* -1 (/ x z)) (/ 1 y))) |
(* -1 (/ (* x y) z)) |
(* y (- (* -1 (/ x z)) (/ 1 y))) |
(* y (- (* -1 (/ x z)) (/ 1 y))) |
(* y (- (* -1 (/ x z)) (/ 1 y))) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* y (- (* -1 (/ x z)) (/ 1 y))) |
(* y (- (* -1 (/ x z)) (/ 1 y))) |
(* y (- (* -1 (/ x z)) (/ 1 y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z 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 y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z 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))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(sqrt (cos y)) |
(sqrt (cos y)) |
(sqrt (cos y)) |
(sqrt (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))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* -1 (/ (* x y) z)) |
(* -1 (* y (+ (/ 1 y) (/ x z)))) |
(* -1 (* y (+ (/ 1 y) (/ x z)))) |
(* -1 (* y (+ (/ 1 y) (/ x z)))) |
(* -1 (/ (* x y) z)) |
(* -1 (* y (+ (/ 1 y) (/ x z)))) |
(* -1 (* y (+ (/ 1 y) (/ x z)))) |
(* -1 (* y (+ (/ 1 y) (/ x z)))) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (* y (+ (/ 1 y) (/ x z)))) |
(* -1 (* y (+ (/ 1 y) (/ x z)))) |
(* -1 (* y (+ (/ 1 y) (/ x z)))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin 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))) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(cos y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
-1 |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
-1 |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
-1 |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(/ (* x (sin y)) z) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x y) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x y) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x y) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x y) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x y) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* -1 (/ (* x y) z)) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(* -1 (/ (* x y) z)) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(/ (* x (sin y)) z) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (/ (* x y) z)) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(* -1 (/ (* x y) z)) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
| Outputs |
|---|
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(/ (* x (sin y)) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x y) |
(*.f64 y x) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(* x y) |
(*.f64 y x) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x y) |
(*.f64 y x) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(* x y) |
(*.f64 y x) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(* x y) |
(*.f64 y x) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(/ (+ (* -1 z) (* -1 (* x y))) z) |
(/.f64 (fma.f64 y x z) (neg.f64 z)) |
(/ (+ (* -1 z) (* -1 (* x y))) z) |
(/.f64 (fma.f64 y x z) (neg.f64 z)) |
(/ (+ (* -1 z) (* -1 (* x y))) z) |
(/.f64 (fma.f64 y x z) (neg.f64 z)) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(/ (+ (* -1 z) (* -1 (* x y))) z) |
(/.f64 (fma.f64 y x z) (neg.f64 z)) |
(/ (+ (* -1 z) (* -1 (* x y))) z) |
(/.f64 (fma.f64 y x z) (neg.f64 z)) |
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(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
z |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
z |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
z |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
z |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
z |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (* x y) z)) 1) |
(/.f64 (fma.f64 y x z) (neg.f64 z)) |
(- (* -1 (/ (* x y) z)) 1) |
(/.f64 (fma.f64 y x z) (neg.f64 z)) |
(- (* -1 (/ (* x y) z)) 1) |
(/.f64 (fma.f64 y x z) (neg.f64 z)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (* x y) z)) 1) |
(/.f64 (fma.f64 y x z) (neg.f64 z)) |
(- (* -1 (/ (* x y) z)) 1) |
(/.f64 (fma.f64 y x z) (neg.f64 z)) |
(- (* -1 (/ (* x y) z)) 1) |
(/.f64 (fma.f64 y x z) (neg.f64 z)) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (* x y) z)) 1) |
(/.f64 (fma.f64 y x z) (neg.f64 z)) |
(- (* -1 (/ (* x y) z)) 1) |
(/.f64 (fma.f64 y x z) (neg.f64 z)) |
(- (* -1 (/ (* x y) z)) 1) |
(/.f64 (fma.f64 y x z) (neg.f64 z)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(/ (* x (sin y)) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ z x))) |
(fma.f64 y x z) |
(* x (+ y (/ z x))) |
(fma.f64 y x z) |
(* x (+ y (/ z x))) |
(fma.f64 y x z) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ z x))) |
(fma.f64 y x z) |
(* x (+ y (/ z x))) |
(fma.f64 y x z) |
(* x (+ y (/ z x))) |
(fma.f64 y x z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ z x))) |
(fma.f64 y x z) |
(* x (+ y (/ z x))) |
(fma.f64 y x z) |
(* x (+ y (/ z x))) |
(fma.f64 y x z) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ z x))) |
(fma.f64 y x z) |
(* x (+ y (/ z x))) |
(fma.f64 y x z) |
(* x (+ y (/ z x))) |
(fma.f64 y x z) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ z x))) |
(fma.f64 y x z) |
(* x (+ y (/ z x))) |
(fma.f64 y x z) |
(* x (+ y (/ z x))) |
(fma.f64 y x z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(/.f64 (fma.f64 y x z) (neg.f64 z)) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(/.f64 (fma.f64 y x z) (neg.f64 z)) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(/.f64 (fma.f64 y x z) (neg.f64 z)) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(/.f64 (fma.f64 y x z) (neg.f64 z)) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(/.f64 (fma.f64 y x z) (neg.f64 z)) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(/.f64 (fma.f64 y x z) (neg.f64 z)) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(/.f64 (fma.f64 y x z) (neg.f64 z)) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(/.f64 (fma.f64 y x z) (neg.f64 z)) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(/.f64 (fma.f64 y x z) (neg.f64 z)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(/ (* x (sin y)) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(fma.f64 y x z) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(fma.f64 y x z) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(fma.f64 y x z) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(fma.f64 y x z) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(fma.f64 y x z) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(fma.f64 y x z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(fma.f64 y x z) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(fma.f64 y x z) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(fma.f64 y x z) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(fma.f64 y x z) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(fma.f64 y x z) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(fma.f64 y x z) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(fma.f64 y x z) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(fma.f64 y x z) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(fma.f64 y x z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(/.f64 (fma.f64 y x z) (neg.f64 z)) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(/.f64 (fma.f64 y x z) (neg.f64 z)) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(/.f64 (fma.f64 y x z) (neg.f64 z)) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(/.f64 (fma.f64 y x z) (neg.f64 z)) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(/.f64 (fma.f64 y x z) (neg.f64 z)) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(/.f64 (fma.f64 y x z) (neg.f64 z)) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(/.f64 (fma.f64 y x z) (neg.f64 z)) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(/.f64 (fma.f64 y x z) (neg.f64 z)) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(/.f64 (fma.f64 y x z) (neg.f64 z)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
| 7 144× | lower-fma.f32 |
| 7 138× | lower-fma.f64 |
| 4 450× | lower-*.f32 |
| 4 434× | lower-*.f64 |
| 3 780× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 326 |
| 0 | 88 | 311 |
| 1 | 317 | 278 |
| 2 | 2057 | 268 |
| 0 | 8615 | 263 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(/.f64 (sin.f64 y) z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))) |
(neg.f64 z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))))) |
#s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))))) |
(*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) |
(/.f64 z (*.f64 (neg.f64 z) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) |
(pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) z (*.f64 (sin.f64 y) x)) |
(cos.f64 y) |
#s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) |
#s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z))) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) |
(*.f64 (sin.f64 y) x) |
| Outputs |
|---|
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z) (*.f64 (cos.f64 y) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z)) (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z)))) (*.f64 (*.f64 (cos.f64 y) z) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z)) (neg.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))) |
(/.f64 (neg.f64 (*.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))) |
(/.f64 (*.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) |
(fma.f64 (exp.f64 (log.f64 z)) (cos.f64 y) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z)) |
(fma.f64 (exp.f64 (log.f64 z)) (cos.f64 y) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z)))) |
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64)) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z)) |
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64)) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z)))) |
(fma.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (cos.f64 y)) z)) #s(literal 1 binary64)) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z)) |
(fma.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (cos.f64 y)) z)) #s(literal 1 binary64)) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z)))) |
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 (cos.f64 y)) z) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 y)) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z)) |
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 (cos.f64 y)) z) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 y)) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z)))) |
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z)) |
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z)))) |
(fma.f64 (*.f64 (sqrt.f64 (cos.f64 y)) z) (sqrt.f64 (cos.f64 y)) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z)) |
(fma.f64 (*.f64 (sqrt.f64 (cos.f64 y)) z) (sqrt.f64 (cos.f64 y)) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z)))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (cos.f64 y)) z)) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z)) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (cos.f64 y)) z)) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z)))) |
(fma.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z (*.f64 (cos.f64 y) z)) |
(fma.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (*.f64 (sqrt.f64 (cos.f64 y)) z) #s(literal 1 binary64)) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z)) |
(fma.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (*.f64 (sqrt.f64 (cos.f64 y)) z) #s(literal 1 binary64)) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z)))) |
(fma.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z)) |
(fma.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z)))) |
(fma.f64 (cos.f64 y) (exp.f64 (log.f64 z)) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z)) |
(fma.f64 (cos.f64 y) (exp.f64 (log.f64 z)) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z)))) |
(fma.f64 (cos.f64 y) z (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z)) |
(fma.f64 (cos.f64 y) z (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z)))) |
(fma.f64 z (*.f64 x (/.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) z)) |
(fma.f64 z (cos.f64 y) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z)) |
(fma.f64 z (cos.f64 y) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z)))) |
(+.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z) (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z)))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)) (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))) (*.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)) (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)) (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) z) (cos.f64 y)) |
(fma.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 x (/.f64 (sin.f64 y) z))) |
(fma.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (*.f64 x (/.f64 (sin.f64 y) z))) |
(fma.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (/.f64 x z) (cos.f64 y)) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 3/4 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) (*.f64 x (/.f64 (sin.f64 y) z))) |
(fma.f64 (/.f64 (neg.f64 (sin.f64 y)) z) (/.f64 x #s(literal -1 binary64)) (cos.f64 y)) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 y) #s(literal 3/4 binary64)) (*.f64 x (/.f64 (sin.f64 y) z))) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (cos.f64 y)) |
(fma.f64 (*.f64 x (sin.f64 y)) (pow.f64 z #s(literal -1 binary64)) (cos.f64 y)) |
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (*.f64 x (/.f64 (sin.f64 y) z))) |
(fma.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (cos.f64 y)) |
(fma.f64 (/.f64 x z) (/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (cos.f64 y)) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) |
(-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z)))) (/.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))) |
(+.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)) |
(+.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (sin.f64 y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (sin.f64 y)) |
(*.f64 (neg.f64 (sin.f64 y)) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) z)) |
(*.f64 (sin.f64 y) (pow.f64 z #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 z (sin.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
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(pow.f64 (/.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y z) x) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y z) (neg.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 (/.f64 y z) (neg.f64 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 y z) (neg.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 y z) (neg.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (neg.f64 x))) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (neg.f64 x))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (neg.f64 x))) #s(literal -1 binary64))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 y z) (neg.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 y z) (neg.f64 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 y z) (neg.f64 x)) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 y z) (neg.f64 x)) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (neg.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (neg.f64 x))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (neg.f64 x)))) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (neg.f64 x))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 y z) (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y z) x) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y z) x) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64)) (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 y z) (neg.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) (*.f64 (/.f64 y z) (*.f64 (neg.f64 x) #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y z) x) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y z) x) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) (*.f64 (/.f64 y z) (*.f64 (neg.f64 x) #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y z) x) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y z) x) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y z) x) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 y) z) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (/.f64 y z) #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (*.f64 (/.f64 x z) #s(literal -1 binary64)) y #s(literal -1 binary64)) |
(fma.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (neg.f64 y) z) (/.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (neg.f64 x) y) (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 y) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (/.f64 y z) (neg.f64 x)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 y z) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (neg.f64 x)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x z) (neg.f64 y) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 y) (/.f64 x z) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 y z) x) #s(literal -1 binary64)) |
(fma.f64 x (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 y)) #s(literal -1 binary64)) |
(fma.f64 x (neg.f64 (/.f64 y z)) #s(literal -1 binary64)) |
(fma.f64 y (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 x)) #s(literal -1 binary64)) |
(fma.f64 y (neg.f64 (/.f64 x z)) #s(literal -1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 y z) (neg.f64 x)))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 y z) (neg.f64 x))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 y z) x)) |
(+.f64 (*.f64 (*.f64 (/.f64 y z) (neg.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (neg.f64 x))) #s(literal -1 binary64)) |
(+.f64 (*.f64 (/.f64 y z) (neg.f64 x)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 y z) (neg.f64 x)) #s(literal 1 binary64))) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (neg.f64 x)))) |
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 y z) (neg.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (sin.f64 y)))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 x))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y)))) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(exp.f64 (log.f64 (*.f64 x (sin.f64 y)))) |
Compiled 30 731 to 4 387 computations (85.7% saved)
43 alts after pruning (36 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 732 | 21 | 1 753 |
| Fresh | 7 | 15 | 22 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 743 | 43 | 1 786 |
| Status | Accuracy | Program |
|---|---|---|
| 72.9% | (fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) z (*.f64 (sin.f64 y) x)) | |
| 82.2% | (fma.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (cos.f64 y)) #s(literal -1 binary64)) (/.f64 z (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) | |
| 63.9% | (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) | |
| 72.9% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3/4 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/4 binary64))) z (*.f64 (sin.f64 y) x)) | |
| 72.9% | (fma.f64 (*.f64 (sqrt.f64 (cos.f64 y)) z) (sqrt.f64 (cos.f64 y)) (*.f64 x (sin.f64 y))) | |
| 72.2% | (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))))) | |
| 52.8% | (fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 34.4% | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)))) | |
| 33.5% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (fma.f64 (/.f64 x z) x z)) y x) y z)) | |
| 52.0% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (neg.f64 z) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (neg.f64 (cos.f64 y)) z (*.f64 (sin.f64 y) x)))) | |
| 79.6% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))) | |
| 70.9% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))))) | |
| 67.7% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x #s(approx (cos y) #s(literal 1 binary64))) z)) | |
| 86.1% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) | |
| 89.7% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (cos.f64 y)) z)) | |
| 89.7% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z)) | |
| 62.8% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (cos.f64 y) z)) | |
| 49.4% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (fma.f64 y x z) z)) z)) | |
| 38.9% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) | |
| 13.9% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (+ (* y x) z) (*.f64 #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (/.f64 y z) (neg.f64 x))) (neg.f64 z)))) | |
| 50.6% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))) | |
| 33.6% | #s(approx (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) y x) y z)) | |
| ✓ | 51.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| ✓ | 19.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x)) |
| ✓ | 38.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
| 16.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.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)) x)) | |
| 15.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x)) | |
| 43.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 y z) (*.f64 (neg.f64 x) (neg.f64 z)) z))) | |
| 22.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) | |
| 27.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64))) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) | |
| 27.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) (/.f64 (fma.f64 y x z) (neg.f64 z)))))) | |
| 7.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))))) | |
| 22.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) | |
| 38.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) | |
| 45.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64)) z) (neg.f64 z)) z))) | |
| 49.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))))) | |
| 13.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (/.f64 (neg.f64 x) (/.f64 z y)))))) | |
| ✓ | 10.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))))) |
| ✓ | 16.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
| 16.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (pow (sqrt (sin y)) 2) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) | |
| 15.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (pow (sqrt (sin y)) 2) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
Compiled 2 100 to 839 computations (60% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (pow (sqrt (sin y)) 2) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.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 (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (fma.f64 y x z) z)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (+ (* y x) z) (*.f64 #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (/.f64 y z) (neg.f64 x))) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 y z) (*.f64 (neg.f64 x) (neg.f64 z)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (/.f64 (neg.f64 x) (/.f64 z y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.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)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (pow (sqrt (sin y)) 2) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64)) z) (neg.f64 z)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) (/.f64 (fma.f64 y x z) (neg.f64 z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (fma.f64 (/.f64 x z) x z)) y x) y z)) |
#s(approx (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64))) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (* (+ (* (neg z) (cos y)) (* (sin y) x)) (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)))) (*.f64 (cos.f64 y) z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (cos.f64 y) z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x #s(approx (cos y) #s(literal 1 binary64))) z)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x)) |
#s(approx (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (* (+ (* (neg z) (cos y)) (* (sin y) x)) (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)))) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
#s(approx (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (* (+ (* (neg z) (cos y)) (* (sin y) x)) (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)))) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
(fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) |
(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) z (*.f64 (sin.f64 y) x)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (cos.f64 y)) z)) |
(fma.f64 (*.f64 (sqrt.f64 (cos.f64 y)) z) (sqrt.f64 (cos.f64 y)) (*.f64 x (sin.f64 y))) |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (neg.f64 z)))) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/2 binary64))) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3/4 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/4 binary64))) z (*.f64 (sin.f64 y) x)) |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (neg.f64 z) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (neg.f64 (cos.f64 y)) z (*.f64 (sin.f64 y) x)))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -2 binary64))))) |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (cos.f64 y)) #s(literal -1 binary64)) (/.f64 z (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))))) |
(/.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 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #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 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
4 calls:
| 55.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 25.0ms | z |
| 24.0ms | y |
| 22.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (pow (sqrt (sin y)) 2) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.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 (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (fma.f64 y x z) z)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (+ (* y x) z) (*.f64 #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (/.f64 y z) (neg.f64 x))) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 y z) (*.f64 (neg.f64 x) (neg.f64 z)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (/.f64 (neg.f64 x) (/.f64 z y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.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)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (pow (sqrt (sin y)) 2) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64)) z) (neg.f64 z)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) (/.f64 (fma.f64 y x z) (neg.f64 z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (fma.f64 (/.f64 x z) x z)) y x) y z)) |
#s(approx (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64))) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (* (+ (* (neg z) (cos y)) (* (sin y) x)) (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)))) (*.f64 (cos.f64 y) z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (cos.f64 y) z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x #s(approx (cos y) #s(literal 1 binary64))) z)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
4 calls:
| 18.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 15.0ms | y |
| 12.0ms | x |
| 12.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (pow (sqrt (sin y)) 2) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.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 (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (fma.f64 y x z) z)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (+ (* y x) z) (*.f64 #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (/.f64 y z) (neg.f64 x))) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 y z) (*.f64 (neg.f64 x) (neg.f64 z)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (/.f64 (neg.f64 x) (/.f64 z y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.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)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (pow (sqrt (sin y)) 2) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64)) z) (neg.f64 z)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) (/.f64 (fma.f64 y x z) (neg.f64 z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (fma.f64 (/.f64 x z) x z)) y x) y z)) |
#s(approx (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64))) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (* (+ (* (neg z) (cos y)) (* (sin y) x)) (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)))) (*.f64 (cos.f64 y) z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (cos.f64 y) z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x #s(approx (cos y) #s(literal 1 binary64))) z)) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x #s(approx (cos y) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
4 calls:
| 13.0ms | y |
| 13.0ms | x |
| 12.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 11.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.8% | 3 | x |
| 80.2% | 3 | y |
| 81.5% | 3 | z |
| 72.9% | 3 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (pow (sqrt (sin y)) 2) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.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 (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (fma.f64 y x z) z)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (+ (* y x) z) (*.f64 #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (/.f64 y z) (neg.f64 x))) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 y z) (*.f64 (neg.f64 x) (neg.f64 z)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (/.f64 (neg.f64 x) (/.f64 z y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.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)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (pow (sqrt (sin y)) 2) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64)) z) (neg.f64 z)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) (/.f64 (fma.f64 y x z) (neg.f64 z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (fma.f64 (/.f64 x z) x z)) y x) y z)) |
#s(approx (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64))) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (* (+ (* (neg z) (cos y)) (* (sin y) x)) (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)))) (*.f64 (cos.f64 y) z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.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))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
3 calls:
| 14.0ms | y |
| 13.0ms | z |
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.2% | 3 | y |
| 77.2% | 3 | x |
| 76.7% | 3 | z |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (pow (sqrt (sin y)) 2) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.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 (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (fma.f64 y x z) z)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (+ (* y x) z) (*.f64 #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (/.f64 y z) (neg.f64 x))) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 y z) (*.f64 (neg.f64 x) (neg.f64 z)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (/.f64 (neg.f64 x) (/.f64 z y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.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)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (pow (sqrt (sin y)) 2) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64)) z) (neg.f64 z)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) (/.f64 (fma.f64 y x z) (neg.f64 z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (fma.f64 (/.f64 x z) x z)) y x) y z)) |
#s(approx (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64))) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.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))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
3 calls:
| 15.0ms | y |
| 12.0ms | x |
| 10.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.8% | 3 | z |
| 71.6% | 3 | x |
| 76.3% | 3 | y |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (pow (sqrt (sin y)) 2) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.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 (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (fma.f64 y x z) z)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (+ (* y x) z) (*.f64 #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (/.f64 y z) (neg.f64 x))) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 y z) (*.f64 (neg.f64 x) (neg.f64 z)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (/.f64 (neg.f64 x) (/.f64 z y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.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)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (pow (sqrt (sin y)) 2) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64)) z) (neg.f64 z)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 y) (/.f64 x z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) #s(approx (+ (* (neg x) (/ y z)) -1) (/.f64 (fma.f64 y x z) (neg.f64 z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (fma.f64 (/.f64 x z) x z)) y x) y z)) |
#s(approx (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (/.f64 (*.f64 x x) z)) z) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64))) z))) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
4 calls:
| 12.0ms | z |
| 12.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 10.0ms | x |
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.7% | 1 | z |
| 51.7% | 1 | x |
| 51.7% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 51.7% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
4 calls:
| 4.0ms | y |
| 2.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.5% | 2 | y |
| 44.6% | 3 | x |
| 38.9% | 1 | z |
| 38.9% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
4 calls:
| 1.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 16.3% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 16.3% | 1 | z |
| 16.3% | 1 | y |
| 16.3% | 1 | x |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 7.278440491917773e+128 | 1.0348607195552831e+130 |
| 16.0ms | -1.6172130620996209e-15 | -2.303639332682667e-17 |
| 19.0ms | 208× | 0 | valid |
Compiled 220 to 248 computations (-12.7% saved)
ival-sin: 6.0ms (42.2% of total)ival-cos: 4.0ms (28.1% of total)ival-mult: 3.0ms (21.1% of total)ival-add: 1.0ms (7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 10.2690561331201 | 8287.328150709578 |
| 14.0ms | -29644092.65767676 | -12215284.373196747 |
| 29.0ms | 208× | 0 | valid |
Compiled 272 to 261 computations (4% saved)
ival-cos: 8.0ms (40.9% of total)ival-sin: 8.0ms (40.9% of total)ival-mult: 3.0ms (15.3% of total)ival-add: 1.0ms (5.1% 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 |
|---|---|---|
| 15.0ms | 4.2228183213232606e-11 | 9.326878011867105e-7 |
| 1.0ms | -29644092.65767676 | -12215284.373196747 |
| 8.0ms | 128× | 0 | valid |
Compiled 272 to 261 computations (4% saved)
ival-mult: 2.0ms (42.4% of total)ival-add: 1.0ms (21.2% of total)ival-cos: 1.0ms (21.2% of total)ival-sin: 1.0ms (21.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 1.7414718153044632e+119 | 9.806819625926456e+120 |
| 16.0ms | -3.529411580615661e+185 | -1.2880449586626787e+182 |
| 23.0ms | 240× | 0 | valid |
Compiled 162 to 239 computations (-47.5% saved)
ival-sin: 8.0ms (47.3% of total)ival-cos: 5.0ms (29.5% of total)ival-mult: 3.0ms (17.7% of total)ival-add: 1.0ms (5.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 12× | *-commutative-binary64-*.f64 |
| 2× | 1-exp-binary32-exp.f32 |
| 2× | 1-exp-binary64-exp.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 334 |
| 1 | 86 | 334 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(if (<=.f64 z #s(literal -1419768672255617/40564819207303340847894502572032 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 750000000000000075620126025471898273474196847162555088373773267425280824765939042290262159562190895425821661047164609982619451392 binary64)) #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x #s(approx (cos y) #s(literal 1 binary64))) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (<=.f64 y #s(literal -12500000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 21/2 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)))) |
(if (<=.f64 y #s(literal -12500000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 8689154328480147/9444732965739290427392 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(if (<=.f64 x #s(literal -1349999999999999910212629618262083169008974173713799530162103223721288345753103544496032772778578520435022424947330257926264550166690672506835861559133028291852151805532184534774185984 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (if (<=.f64 x #s(literal 9600000000000000037383157733991482505102619382019975854267522710403527554182199703154266184176408228647705632750908211200 binary64)) #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
(if (<=.f64 z #s(literal -1419768672255617/40564819207303340847894502572032 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 750000000000000075620126025471898273474196847162555088373773267425280824765939042290262159562190895425821661047164609982619451392 binary64)) #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x #s(approx (cos y) #s(literal 1 binary64))) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (<=.f64 z #s(literal -1419768672255617/40564819207303340847894502572032 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 750000000000000075620126025471898273474196847162555088373773267425280824765939042290262159562190895425821661047164609982619451392 binary64)) #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x #s(approx (cos y) #s(literal 1 binary64))) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
(if (<=.f64 y #s(literal -12500000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 21/2 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)))) |
(if (<=.f64 y #s(literal -12500000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 21/2 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))))) |
(if (<=.f64 y #s(literal -12500000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 8689154328480147/9444732965739290427392 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (<=.f64 y #s(literal -12500000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 8689154328480147/9444732965739290427392 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(if (<=.f64 x #s(literal -1349999999999999910212629618262083169008974173713799530162103223721288345753103544496032772778578520435022424947330257926264550166690672506835861559133028291852151805532184534774185984 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (if (<=.f64 x #s(literal 9600000000000000037383157733991482505102619382019975854267522710403527554182199703154266184176408228647705632750908211200 binary64)) #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))))) |
(if (<=.f64 x #s(literal -1349999999999999910212629618262083169008974173713799530162103223721288345753103544496032772778578520435022424947330257926264550166690672506835861559133028291852151805532184534774185984 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) (if (<=.f64 x #s(literal 9600000000000000037383157733991482505102619382019975854267522710403527554182199703154266184176408228647705632750908211200 binary64)) #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| 14 338× | lower-fma.f64 |
| 14 338× | lower-fma.f32 |
| 12 858× | lower-fma.f64 |
| 12 858× | lower-fma.f32 |
| 11 922× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 29 | 21 |
| 2 | 185 | 21 |
| 3 | 1836 | 21 |
| 0 | 8391 | 20 |
| 0 | 823 | 7631 |
| 1 | 2889 | 7118 |
| 0 | 8775 | 6795 |
| 0 | 563 | 6769 |
| 1 | 1831 | 6642 |
| 2 | 6483 | 6587 |
| 0 | 8438 | 6251 |
| 0 | 109 | 682 |
| 1 | 344 | 678 |
| 2 | 981 | 668 |
| 3 | 2637 | 662 |
| 4 | 4654 | 662 |
| 5 | 6949 | 662 |
| 0 | 8182 | 606 |
| 0 | 218 | 4638 |
| 1 | 681 | 4539 |
| 2 | 1940 | 4522 |
| 3 | 5078 | 4433 |
| 0 | 8962 | 4047 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 302 to 181 computations (40.1% saved)
Compiled 306 to 124 computations (59.5% saved)
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