
Time bar (total: 9.0s)
| 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)
| 1.7s | 8 256× | 0 | valid |
ival-cos: 541.0ms (58.4% of total)ival-mult: 167.0ms (18% of total)ival-sin: 167.0ms (18% of total)ival-add: 43.0ms (4.6% of total)ival-true: 6.0ms (0.6% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x (cos.f64 y)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 z (sin.f64 y)) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 48.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-cos: 10.0ms (34.6% of total)ival-sin: 10.0ms (34.6% of total)ival-mult: 6.0ms (20.7% of total)ival-add: 2.0ms (6.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 162× | associate-*r* |
| 160× | unsub-neg |
| 146× | associate-*l* |
| 132× | distribute-lft-neg-in |
| 106× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 87 |
| 1 | 79 | 81 |
| 2 | 139 | 81 |
| 3 | 307 | 81 |
| 4 | 458 | 81 |
| 5 | 688 | 81 |
| 6 | 861 | 81 |
| 7 | 947 | 81 |
| 8 | 1025 | 81 |
| 9 | 1091 | 81 |
| 10 | 1105 | 81 |
| 11 | 1110 | 81 |
| 12 | 1112 | 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 (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (sin.f64 y)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 x (cos.f64 y)) | |
| cost-diff | 128 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
| Outputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.01171875 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.0859375 | (*.f64 x (cos.f64 y)) | |
| accuracy | 0.12109375 | (*.f64 z (sin.f64 y)) |
| 23.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-cos: 5.0ms (32.9% of total)ival-sin: 5.0ms (32.9% of total)ival-mult: 3.0ms (19.8% of total)ival-add: 1.0ms (6.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (sin y) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (sin y) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (sin y) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y z)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ z (* -1/2 (* x y))))) (taylor 0 y) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) (taylor 0 y) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/2 (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) (taylor 0 y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (pow y 2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* -1/6 (* (pow y 2) z)))) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor inf y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor inf y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor inf y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor inf y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (sin y)) |
| 1.0ms | z | @ | inf | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (sin y)) |
| 1.0ms | y | @ | inf | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (sin y)) |
| 1.0ms | x | @ | 0 | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (sin y)) |
| 1.0ms | z | @ | -inf | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (sin y)) |
| 1× | egg-herbie |
| 11 652× | lower-fma.f64 |
| 11 652× | lower-fma.f32 |
| 4 396× | lower-*.f64 |
| 4 396× | lower-*.f32 |
| 2 464× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 682 |
| 1 | 343 | 678 |
| 2 | 985 | 666 |
| 3 | 2635 | 660 |
| 4 | 4674 | 660 |
| 5 | 6996 | 660 |
| 0 | 8178 | 604 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
x |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
| Outputs |
|---|
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
x |
(+ x (* y z)) |
(fma.f64 z y x) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
x |
(+ x (* -1/2 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 z (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 z y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
| 11 480× | lower-fma.f64 |
| 11 480× | lower-fma.f32 |
| 4 168× | lower-*.f32 |
| 4 164× | lower-*.f64 |
| 4 068× | 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 | 8386 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
| Outputs |
|---|
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Compiled 8 418 to 572 computations (93.2% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 267 | 15 | 282 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 268 | 15 | 283 |
| Status | Accuracy | Program |
|---|---|---|
| 58.0% | (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) | |
| ▶ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
| 38.7% | (/.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #s(literal -1 binary64))) | |
| 30.6% | (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))) | |
| ▶ | 39.9% | (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
| 79.4% | (+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| 12.6% | (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 9 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 9 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64))) | |
| 57.8% | (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) | |
| 39.8% | (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) | |
| 54.7% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) | |
| 54.9% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) | |
| ▶ | 56.1% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
| 40.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) | |
| ▶ | 61.5% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
Compiled 724 to 392 computations (45.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sin.f64 y) z) | |
| cost-diff | 0 | (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) | |
| cost-diff | 0 | (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) | |
| cost-diff | 7168 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 (cos.f64 y) x) | |
| cost-diff | 0 | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) | |
| cost-diff | 0 | (fma.f64 z y x) | |
| cost-diff | 0 | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) z) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
| 75 856× | lower-fma.f32 |
| 75 848× | lower-fma.f64 |
| 4 104× | lower-+.f32 |
| 4 102× | lower-+.f64 |
| 3 948× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 216 |
| 0 | 48 | 210 |
| 1 | 78 | 210 |
| 2 | 152 | 210 |
| 3 | 361 | 210 |
| 4 | 605 | 210 |
| 5 | 1154 | 210 |
| 6 | 1494 | 210 |
| 7 | 2130 | 210 |
| 8 | 2912 | 210 |
| 9 | 3448 | 210 |
| 10 | 4740 | 210 |
| 11 | 5822 | 210 |
| 12 | 6149 | 210 |
| 13 | 6191 | 210 |
| 14 | 6202 | 210 |
| 15 | 6280 | 210 |
| 16 | 6444 | 210 |
| 17 | 6444 | 210 |
| 18 | 6444 | 210 |
| 0 | 8306 | 210 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(cos.f64 y) |
y |
x |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
z |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(fma.f64 z y x) |
z |
y |
x |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(sin.f64 y) |
y |
z |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
#s(literal -1 binary64) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
#s(literal 3 binary64) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
(fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) |
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
(cos.f64 y) |
y |
x |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
z |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(fma.f64 z y x) |
z |
y |
x |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
y |
x |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
(sin.f64 y) |
y |
z |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
x |
#s(literal -1 binary64) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) |
(+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) |
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
y |
z |
#s(literal 3 binary64) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) |
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
x |
(fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) |
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) |
(fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.13347626953688402 | (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) | |
| accuracy | 0.22140507814753613 | (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) | |
| accuracy | 2.1015501149812352 | (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) | |
| accuracy | 37.58683755560509 | (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) | |
| accuracy | 0.08203125 | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) | |
| accuracy | 0.0859375 | (*.f64 (cos.f64 y) x) | |
| accuracy | 0.2265625 | (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) | |
| accuracy | 0.3125 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.0859375 | (*.f64 (cos.f64 y) x) | |
| accuracy | 24.62267380823609 | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) | |
| accuracy | 0 | (fma.f64 z y x) | |
| accuracy | 28.11764158719986 | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.03515625 | (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) | |
| accuracy | 0.12109375 | (*.f64 (sin.f64 y) z) |
| 126.0ms | 256× | 0 | valid |
Compiled 215 to 30 computations (86% saved)
ival-pow: 11.0ms (24.8% of total)ival-mult: 9.0ms (20.3% of total)ival-add: 6.0ms (13.5% of total)ival-sin: 6.0ms (13.5% of total)ival-cos: 6.0ms (13.5% of total)ival-div: 3.0ms (6.8% of total)ival-pow2: 2.0ms (4.5% of total)ival-sub: 1.0ms (2.3% of total)exact: 1.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (patch (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 y) z) (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (cos.f64 y) x) (patch (*.f64 (cos.f64 y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (patch (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (patch (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (patch (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (patch (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (patch (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (patch (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 (sin.f64 y) z) (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 (sin.f64 y) z) (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 (sin.f64 y) z) (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 (sin.f64 y) z) (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (cos y))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (patch (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (patch (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) (taylor 0 z) (#s(alt (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (patch (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (- (* z (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) (taylor 0 z) (#s(alt (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (patch (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (pow (cos y) 3)) (taylor 0 z) (#s(alt (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (taylor 0 z) (#s(alt (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (taylor 0 z) (#s(alt (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (taylor 0 z) (#s(alt (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 3) (pow (sin y) 3)) (taylor 0 z) (#s(alt (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 3) (pow (sin y) 3)) (taylor 0 z) (#s(alt (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 3) (pow (sin y) 3)) (taylor 0 z) (#s(alt (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 3) (pow (sin y) 3)) (taylor 0 z) (#s(alt (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow (cos y) 2)) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (patch (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x (* z (* (cos y) (sin y))))) (* (pow x 2) (pow (cos y) 2))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (patch (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (+ (* -1 (* x (* (cos y) (sin y)))) (* z (pow (sin y) 2)))) (* (pow x 2) (pow (cos y) 2))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (patch (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (+ (* -1 (* x (* (cos y) (sin y)))) (* z (pow (sin y) 2)))) (* (pow x 2) (pow (cos y) 2))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (patch (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (patch (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (sin y) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (patch (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | y | @ | inf | ((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) |
| 5.0ms | z | @ | 0 | ((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) |
| 5.0ms | y | @ | -inf | ((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) |
| 4.0ms | z | @ | -inf | ((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) |
| 4.0ms | x | @ | inf | ((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) |
| 1× | egg-herbie |
| 8 100× | lower-fma.f64 |
| 8 100× | lower-fma.f32 |
| 6 534× | lower-*.f64 |
| 6 534× | lower-*.f32 |
| 2 304× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 576 | 5703 |
| 1 | 2027 | 5334 |
| 2 | 7800 | 5300 |
| 0 | 8206 | 4977 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
x |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(/ 1 (* x (cos y))) |
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y)))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(+ (* x (cos y)) (* z (- (* z (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(* (pow x 3) (pow (cos y) 3)) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow x 2) (pow (cos y) 2)) |
(+ (* -1 (* x (* z (* (cos y) (sin y))))) (* (pow x 2) (pow (cos y) 2))) |
(+ (* z (+ (* -1 (* x (* (cos y) (sin y)))) (* z (pow (sin y) 2)))) (* (pow x 2) (pow (cos y) 2))) |
(+ (* z (+ (* -1 (* x (* (cos y) (sin y)))) (* z (pow (sin y) 2)))) (* (pow x 2) (pow (cos y) 2))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* y z) |
(* z (+ y (/ x z))) |
(* z (+ y (/ x z))) |
(* z (+ y (/ x z))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(/ 1 (* z (sin y))) |
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z) |
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (pow z 2)))) (* -1 (/ (* x (cos y)) z)))) |
(* z (- (+ (sin y) (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* (pow z 3) (sin y))))) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (+ (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3)) (pow (sin y) 3))) |
(* (pow z 3) (+ (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3)) (pow (sin y) 3))) |
(* (pow z 3) (+ (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3)) (pow (sin y) 3))) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (pow (sin y) 2))) |
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (+ (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))) |
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (+ (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* y z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(/ 1 (* z (sin y))) |
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (* -1 (* x (cos y)))) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* z (sin y)))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z)) (* -1 (* x (cos y)))) z))))) |
(* (pow z 3) (pow (sin y) 3)) |
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3))) (* -1 (pow (sin y) 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3))) (* -1 (pow (sin y) 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3))) (* -1 (pow (sin y) 3))))) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (pow (sin y) 2))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) z)) (* x (* (cos y) (sin y)))) z)) (pow (sin y) 2))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) z)) (* x (* (cos y) (sin y)))) z)) (pow (sin y) 2))) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y 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))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
x |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
x |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(/ 1 x) |
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x)) |
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x)) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
x |
(+ x (* y z)) |
(+ x (* y (- (* y (- (* -3/2 x) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) (* -1 z)))) |
(+ x (* y (- (* y (- (+ (* -3/2 x) (* y (- (/ (pow z 3) (pow x 2)) (+ (* -1 (/ (* z (- (* -3/2 x) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) x)) (+ (/ (* z (+ (* -1 (pow x 2)) (pow z 2))) (pow x 2)) (/ (* z (+ (* 1/6 x) (* 1/2 x))) x)))))) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) (* -1 z)))) |
(pow x 3) |
(+ (* -3/2 (* (pow x 3) (pow y 2))) (pow x 3)) |
(+ (* (pow y 2) (+ (* -3/2 (pow x 3)) (* y (pow z 3)))) (pow x 3)) |
(+ (* (pow y 2) (+ (* -3/2 (pow x 3)) (* y (+ (* 7/8 (* (pow x 3) y)) (pow z 3))))) (pow x 3)) |
(* (pow y 3) (pow z 3)) |
(* (pow y 3) (+ (* -1/2 (* (pow y 2) (pow z 3))) (pow z 3))) |
(* (pow y 3) (+ (* (pow y 2) (+ (* -1/2 (pow z 3)) (* 13/120 (* (pow y 2) (pow z 3))))) (pow z 3))) |
(* (pow y 3) (+ (* (pow y 2) (+ (* -1/2 (pow z 3)) (* (pow y 2) (+ (* -41/3024 (* (pow y 2) (pow z 3))) (* 13/120 (pow z 3)))))) (pow z 3))) |
(pow x 2) |
(+ (* -1 (* x (* y z))) (pow x 2)) |
(+ (* y (+ (* -1 (* x z)) (* y (+ (* -1 (pow x 2)) (pow z 2))))) (pow x 2)) |
(+ (* y (+ (* -1 (* x z)) (* y (+ (* -1 (pow x 2)) (+ (* y (* z (+ (* 1/6 x) (* 1/2 x)))) (pow z 2)))))) (pow x 2)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* y z) |
(* y (+ z (/ x y))) |
(* y (+ z (/ x y))) |
(* y (+ z (/ x y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2))) |
(+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2))) |
(+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2))) |
(+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* y z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2))) |
(+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2))) |
(+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2))) |
(+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2))) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* y z) |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(/ 1 (* z (sin y))) |
(+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(+ (* x (- (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* -1 (cos y)))) (* z (sin y))) |
(+ (* x (- (* x (- (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* z (sin y)))) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* -1 (cos y)))) (* z (sin y))) |
(* (pow z 3) (pow (sin y) 3)) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(* (pow z 2) (pow (sin y) 2)) |
(+ (* -1 (* x (* z (* (cos y) (sin y))))) (* (pow z 2) (pow (sin y) 2))) |
(+ (* x (+ (* -1 (* z (* (cos y) (sin y)))) (* x (pow (cos y) 2)))) (* (pow z 2) (pow (sin y) 2))) |
(+ (* x (+ (* -1 (* z (* (cos y) (sin y)))) (* x (pow (cos y) 2)))) (* (pow z 2) (pow (sin y) 2))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (/ (* y z) x))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(/ 1 (* x (cos y))) |
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (pow x 2)))) (* -1 (/ (* z (sin y)) x)))) |
(* x (- (+ (cos y) (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* (pow x 3) (cos y))))) (+ (* -1 (/ (* z (sin y)) x)) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y))))))) |
(* (pow x 3) (pow (cos y) 3)) |
(* (pow x 3) (+ (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3)) (pow (cos y) 3))) |
(* (pow x 3) (+ (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3)) (pow (cos y) 3))) |
(* (pow x 3) (+ (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3)) (pow (cos y) 3))) |
(* (pow x 2) (pow (cos y) 2)) |
(* (pow x 2) (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (pow (cos y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (+ (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))) |
(* (pow x 2) (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (+ (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
x |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(/ 1 (* x (cos y))) |
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (* -1 (* z (sin y)))) x))))) |
(* (pow x 3) (pow (cos y) 3)) |
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (* -1 (pow (cos y) 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (* -1 (pow (cos y) 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (* -1 (pow (cos y) 3))))) |
(* (pow x 2) (pow (cos y) 2)) |
(* (pow x 2) (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (pow (cos y) 2))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) x)) (* z (* (cos y) (sin y)))) x)) (pow (cos y) 2))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) x)) (* z (* (cos y) (sin y)))) x)) (pow (cos y) 2))) |
| Outputs |
|---|
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
x |
(+ x (* y z)) |
(fma.f64 z y x) |
(+ x (* y z)) |
(fma.f64 z y x) |
(+ x (* y z)) |
(fma.f64 z y x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(/ 1 (* x (cos y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y)))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x))) x) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) z (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) z (sin.f64 y)) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (- (* z (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (*.f64 (sin.f64 y) (/.f64 #s(literal 0 binary64) (cos.f64 y))) #s(literal 0 binary64)) z (sin.f64 y)) z (*.f64 (cos.f64 y) x)) |
(* (pow x 3) (pow (cos y) 3)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(* (pow z 3) (pow (sin y) 3)) |
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) |
(* (pow z 3) (pow (sin y) 3)) |
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) |
(* (pow z 3) (pow (sin y) 3)) |
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) |
(* (pow z 3) (pow (sin y) 3)) |
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) |
(* (pow x 2) (pow (cos y) 2)) |
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) |
(+ (* -1 (* x (* z (* (cos y) (sin y))))) (* (pow x 2) (pow (cos y) 2))) |
(*.f64 (fma.f64 (*.f64 z (cos.f64 y)) (neg.f64 (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) x) |
(+ (* z (+ (* -1 (* x (* (cos y) (sin y)))) (* z (pow (sin y) 2)))) (* (pow x 2) (pow (cos y) 2))) |
(fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (*.f64 (sin.f64 y) z) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) |
(+ (* z (+ (* -1 (* x (* (cos y) (sin y)))) (* z (pow (sin y) 2)))) (* (pow x 2) (pow (cos y) 2))) |
(fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (*.f64 (sin.f64 y) z) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* y z) |
(*.f64 z y) |
(* z (+ y (/ x z))) |
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(* (pow x 2) (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (+ (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (*.f64 z z) (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 z (cos.f64 y)) (/.f64 (sin.f64 y) x)))) (*.f64 x x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
x |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(/ 1 (* x (cos y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)) |
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x)) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 x))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (* -1 (* z (sin y)))) x))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (neg.f64 (cos.f64 y))) (*.f64 (sin.f64 y) z))) (neg.f64 x)) (cos.f64 y)) (neg.f64 x)) |
(* (pow x 3) (pow (cos y) 3)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (* -1 (pow (cos y) 3))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (* -1 (pow (cos y) 3))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (* -1 (pow (cos y) 3))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) |
(* (pow x 2) (pow (cos y) 2)) |
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (pow (cos y) 2))) |
(*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 z (cos.f64 y)) (/.f64 (sin.f64 y) x))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) x)) (* z (* (cos y) (sin y)))) x)) (pow (cos y) 2))) |
(*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (*.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) x)) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) x)) (* z (* (cos y) (sin y)))) x)) (pow (cos y) 2))) |
(*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (*.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) x)) (*.f64 x x)) |
| 9 226× | lower-fma.f32 |
| 9 218× | lower-fma.f64 |
| 4 436× | lower-*.f32 |
| 4 432× | lower-*.f64 |
| 4 062× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 155 |
| 0 | 48 | 123 |
| 1 | 193 | 123 |
| 2 | 1244 | 123 |
| 0 | 8220 | 123 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(cos.f64 y) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(fma.f64 z y x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) |
(fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) |
| Outputs |
|---|
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Compiled 81 011 to 3 224 computations (96% saved)
35 alts after pruning (32 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 995 | 31 | 2 026 |
| Fresh | 9 | 1 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 006 | 35 | 2 041 |
| Status | Accuracy | Program |
|---|---|---|
| 58.0% | (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) | |
| 57.6% | (fma.f64 (/.f64 (*.f64 (*.f64 z (sin.f64 y)) z) #s(literal 1 binary64)) (/.f64 (sin.f64 y) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))))) | |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
| 79.4% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (sin.f64 y) z)) | |
| 46.1% | (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) | |
| 46.1% | (pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)) | |
| 17.5% | (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #s(approx (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2)) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (*.f64 (sin.f64 y) z)))) | |
| 14.8% | (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #s(approx (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))) | |
| 10.8% | (/.f64 #s(approx (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) | |
| ▶ | 28.9% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
| 38.5% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) | |
| 34.4% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z)))) | |
| 40.7% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) | |
| 61.3% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) | |
| 41.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| 54.9% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) | |
| ▶ | 92.1% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) |
| 89.0% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) | |
| ▶ | 40.8% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (sin.f64 y) z)) |
| 54.7% | #s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) | |
| ✓ | 56.1% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
| 27.5% | #s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) | |
| 55.9% | #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) | |
| ✓ | 61.5% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
| 39.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| 39.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| 39.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) | |
| 41.3% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| 54.5% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x))) | |
| ▶ | 50.7% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
| 48.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) | |
| 40.7% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) | |
| ▶ | 18.1% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
| 39.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) | |
| 39.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
Compiled 946 to 722 computations (23.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) | |
| cost-diff | 0 | (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) z) | |
| cost-diff | 0 | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (sin.f64 y) z)) | |
| cost-diff | 0 | (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))) | |
| cost-diff | 0 | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) | |
| cost-diff | 1280 | (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (+ (* z y) x) (*.f64 z y)) | |
| cost-diff | 0 | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) | |
| cost-diff | 0 | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) | |
| cost-diff | 704 | (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
| 9 334× | lower-fma.f32 |
| 9 328× | lower-fma.f64 |
| 4 060× | lower-*.f32 |
| 4 050× | lower-*.f64 |
| 1 566× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 284 |
| 0 | 70 | 284 |
| 1 | 119 | 284 |
| 2 | 240 | 284 |
| 3 | 576 | 281 |
| 4 | 1233 | 269 |
| 5 | 2794 | 263 |
| 6 | 4611 | 263 |
| 7 | 6474 | 263 |
| 0 | 8007 | 254 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
z |
(cos.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* z y) x) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))) |
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) |
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) |
(neg.f64 y) |
y |
(/.f64 z x) |
z |
x |
#s(literal -1 binary64) |
(neg.f64 x) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (sin.f64 y) z)) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
z |
(sin.f64 y) |
y |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
#s(literal 2 binary64) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
z |
(cos.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* z y) x) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 z y x))) |
#s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))) |
#s(approx (+ (* z y) x) (fma.f64 z y x)) |
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) |
(fma.f64 z y x) |
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) |
(fma.f64 (/.f64 z x) (neg.f64 y) #s(literal -1 binary64)) |
(neg.f64 y) |
y |
(/.f64 z x) |
z |
x |
#s(literal -1 binary64) |
(neg.f64 x) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (sin.f64 y) z)) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
z |
(sin.f64 y) |
y |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
x |
(cos.f64 y) |
#s(literal 2 binary64) |
#s(literal -1/2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0859375 | (*.f64 x (cos.f64 y)) | |
| accuracy | 0.19207001953688405 | (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) | |
| accuracy | 0.3125 | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) | |
| accuracy | 26.619365539131955 | (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.12109375 | (*.f64 (sin.f64 y) z) | |
| accuracy | 37.834085711506454 | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (sin.f64 y) z)) | |
| accuracy | 0 | #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))) | |
| accuracy | 2.3867438555617735 | (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) | |
| accuracy | 4.343242398859384 | (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) | |
| accuracy | 28.11764158719986 | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 28.11764158719986 | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) | |
| accuracy | 32.59318080019066 | #s(approx (+ (* z y) x) (*.f64 z y)) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.0546875 | (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) | |
| accuracy | 0.10546875 | (/.f64 (sin.f64 y) x) | |
| accuracy | 5.036565049950974 | (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
| 143.0ms | 256× | 0 | valid |
Compiled 236 to 41 computations (82.6% saved)
ival-add: 42.0ms (38.2% of total)ival-pow: 26.0ms (23.7% of total)ival-mult: 15.0ms (13.7% of total)ival-sin: 8.0ms (7.3% of total)ival-div: 6.0ms (5.5% of total)ival-cos: 5.0ms (4.6% of total)ival-pow2: 4.0ms (3.6% of total)ival-neg: 2.0ms (1.8% of total)ival-sub: 1.0ms (0.9% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) (patch #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) (patch (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) (patch (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))) (patch #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (patch (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (sin.f64 y) z)) (patch #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 y) z) (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (patch (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation binary64>) () ())) ()) |
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#s(alt (/ 1 (* x (cos y))) (taylor -inf x) (#s(alt (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x)) (taylor -inf x) (#s(alt (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* z (sin y)) (pow (cos y) 2))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) x)) (/ 1 (cos y))) x)) (taylor -inf x) (#s(alt (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* z (sin y)) (pow (cos y) 2))) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) x))) x)) (/ 1 (cos y))) x)) (taylor -inf x) (#s(alt (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow (cos y) 2)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* 2 (/ (* z (* (cos y) (sin y))) x)) (pow (cos y) 2))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -2 (* z (* (cos y) (sin y)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) x))) x)) (pow (cos y) 2))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -2 (* z (* (cos y) (sin y)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) x))) x)) (pow (cos y) 2))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (patch (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (patch (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (patch (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (patch (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 178.0ms | y | @ | inf | ((* (+ (* (/ (sin y) x) z) (cos y)) x) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (* (+ (* (neg y) (/ z x)) -1) (neg x)) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* (neg y) (/ z x)) -1) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* (sin y) z) (sin y) (/ 1 (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2)) (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2) (pow (+ (* z (sin y)) (* x (cos y))) 2) (+ (* z (sin y)) (* x (cos y))) (* x (cos y))) |
| 8.0ms | z | @ | -inf | ((* (+ (* (/ (sin y) x) z) (cos y)) x) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (* (+ (* (neg y) (/ z x)) -1) (neg x)) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* (neg y) (/ z x)) -1) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* (sin y) z) (sin y) (/ 1 (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2)) (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2) (pow (+ (* z (sin y)) (* x (cos y))) 2) (+ (* z (sin y)) (* x (cos y))) (* x (cos y))) |
| 6.0ms | y | @ | -inf | ((* (+ (* (/ (sin y) x) z) (cos y)) x) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (* (+ (* (neg y) (/ z x)) -1) (neg x)) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* (neg y) (/ z x)) -1) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* (sin y) z) (sin y) (/ 1 (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2)) (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2) (pow (+ (* z (sin y)) (* x (cos y))) 2) (+ (* z (sin y)) (* x (cos y))) (* x (cos y))) |
| 3.0ms | x | @ | -inf | ((* (+ (* (/ (sin y) x) z) (cos y)) x) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (* (+ (* (neg y) (/ z x)) -1) (neg x)) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* (neg y) (/ z x)) -1) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* (sin y) z) (sin y) (/ 1 (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2)) (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2) (pow (+ (* z (sin y)) (* x (cos y))) 2) (+ (* z (sin y)) (* x (cos y))) (* x (cos y))) |
| 3.0ms | x | @ | 0 | ((* (+ (* (/ (sin y) x) z) (cos y)) x) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (* (+ (* (neg y) (/ z x)) -1) (neg x)) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* (neg y) (/ z x)) -1) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* (sin y) z) (sin y) (/ 1 (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2)) (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2) (pow (+ (* z (sin y)) (* x (cos y))) 2) (+ (* z (sin y)) (* x (cos y))) (* x (cos y))) |
| 1× | egg-herbie |
| 8 254× | lower-fma.f64 |
| 8 254× | lower-fma.f32 |
| 5 918× | lower-*.f64 |
| 5 918× | lower-*.f32 |
| 2 340× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 576 | 6862 |
| 1 | 2018 | 6314 |
| 2 | 7452 | 6284 |
| 0 | 8053 | 5851 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(+ (* x (cos y)) (* z (- (* z (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
x |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
x |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
x |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
-1 |
(- (* -1 (/ (* y z) x)) 1) |
(- (* -1 (/ (* y z) x)) 1) |
(- (* -1 (/ (* y z) x)) 1) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(+ (* x (cos y)) (* z (- (* z (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(/ 1 (* x (cos y))) |
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y)))) |
(+ (* z (+ (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))))) (/ 1 (* x (cos y)))) |
(+ (* z (+ (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (* z (+ (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))))))) (/ 1 (* x (cos y)))) |
(* (pow x 2) (pow (cos y) 2)) |
(+ (* 2 (* x (* z (* (cos y) (sin y))))) (* (pow x 2) (pow (cos y) 2))) |
(+ (* z (+ (* 2 (* x (* (cos y) (sin y)))) (* z (pow (sin y) 2)))) (* (pow x 2) (pow (cos y) 2))) |
(+ (* z (+ (* 2 (* x (* (cos y) (sin y)))) (* z (pow (sin y) 2)))) (* (pow x 2) (pow (cos y) 2))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (pow z 2)))) (* -1 (/ (* x (cos y)) z)))) |
(* z (- (+ (sin y) (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* (pow z 3) (sin y))))) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))) |
(/ (* z (sin y)) x) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* y z) |
(* z (+ y (/ x z))) |
(* z (+ y (/ x z))) |
(* z (+ y (/ x z))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* z (+ y (/ x z))) |
(* z (+ y (/ x z))) |
(* z (+ y (/ x z))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* y z) |
(* z (+ y (/ x z))) |
(* z (+ y (/ x z))) |
(* z (+ y (/ x z))) |
(* -1 (/ (* y z) x)) |
(* z (- (* -1 (/ y x)) (/ 1 z))) |
(* z (- (* -1 (/ y x)) (/ 1 z))) |
(* z (- (* -1 (/ y x)) (/ 1 z))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (pow z 2)))) (* -1 (/ (* x (cos y)) z)))) |
(* z (- (+ (sin y) (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* (pow z 3) (sin y))))) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(/ 1 (* z (sin y))) |
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) z) |
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (+ (* 2 (/ (* x (* (cos y) (sin y))) z)) (pow (sin y) 2))) |
(* (pow z 2) (+ (* 2 (/ (* x (* (cos y) (sin y))) z)) (+ (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))) |
(* (pow z 2) (+ (* 2 (/ (* x (* (cos y) (sin y))) z)) (+ (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (* -1 (* x (cos y)))) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* z (sin y)))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z)) (* -1 (* x (cos y)))) z))))) |
(/ (* z (sin y)) x) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* y z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* y z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (/ (* y z) x)) |
(* -1 (* z (+ (/ 1 z) (/ y x)))) |
(* -1 (* z (+ (/ 1 z) (/ y x)))) |
(* -1 (* z (+ (/ 1 z) (/ y x)))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (* -1 (* x (cos y)))) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* z (sin y)))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z)) (* -1 (* x (cos y)))) z))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(/ 1 (* z (sin y))) |
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4)))) z))) z)) (/ 1 (sin y))) z)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (+ (* 2 (/ (* x (* (cos y) (sin y))) z)) (pow (sin y) 2))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -2 (* x (* (cos y) (sin y)))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) z))) z)) (pow (sin y) 2))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -2 (* x (* (cos y) (sin y)))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) z))) z)) (pow (sin y) 2))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
x |
(+ x (* y z)) |
(+ x (* y (- (* y (- (* -3/2 x) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) (* -1 z)))) |
(+ x (* y (- (* y (- (+ (* -3/2 x) (* y (- (/ (pow z 3) (pow x 2)) (+ (* -1 (/ (* z (- (* -3/2 x) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) x)) (+ (/ (* z (+ (* -1 (pow x 2)) (pow z 2))) (pow x 2)) (/ (* z (+ (* 1/6 x) (* 1/2 x))) x)))))) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) (* -1 z)))) |
1 |
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(+ 1 (* y (+ (* -1/2 y) (/ z x)))) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x)))) |
(/ y x) |
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(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
x |
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(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
x |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
x |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
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x |
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(+ x (* y z)) |
-1 |
(- (* -1 (/ (* y z) x)) 1) |
(- (* -1 (/ (* y z) x)) 1) |
(- (* -1 (/ (* y z) x)) 1) |
x |
(+ x (* y z)) |
(+ x (* y (- (* y (- (* -3/2 x) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) (* -1 z)))) |
(+ x (* y (- (* y (- (+ (* -3/2 x) (* y (- (/ (pow z 3) (pow x 2)) (+ (* -1 (/ (* z (- (* -3/2 x) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) x)) (+ (/ (* z (+ (* -1 (pow x 2)) (pow z 2))) (pow x 2)) (/ (* z (+ (* 1/6 x) (* 1/2 x))) x)))))) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) (* -1 z)))) |
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(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
x |
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(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(/ 1 x) |
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x)) |
(+ (* y (+ (* -1 (/ z (pow x 2))) (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))))) (/ 1 x)) |
(+ (* y (+ (* -1 (/ z (pow x 2))) (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))))) (/ 1 x)) |
(pow x 2) |
(+ (* 2 (* x (* y z))) (pow x 2)) |
(+ (* y (+ (* 2 (* x z)) (* y (+ (* -1 (pow x 2)) (pow z 2))))) (pow x 2)) |
(+ (* y (+ (* 2 (* x z)) (* y (+ (* -1 (pow x 2)) (+ (* y (+ (* -1 (* x z)) (* -1/3 (* x z)))) (pow z 2)))))) (pow x 2)) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
x |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* y z) |
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(* y (+ z (/ x y))) |
(* y (+ z (/ x y))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
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(* y (+ z (/ x y))) |
(* y (+ z (/ x y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* y z) |
(* y (+ z (/ x y))) |
(* y (+ z (/ x y))) |
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(* -1 (/ (* y z) x)) |
(* y (- (* -1 (/ z x)) (/ 1 y))) |
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(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(pow (+ (* x (cos y)) (* z (sin y))) 2) |
(pow (+ (* x (cos y)) (* z (sin y))) 2) |
(pow (+ (* x (cos y)) (* z (sin y))) 2) |
(pow (+ (* x (cos y)) (* z (sin y))) 2) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* y z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* y z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (/ (* y z) x)) |
(* -1 (* y (+ (/ 1 y) (/ z x)))) |
(* -1 (* y (+ (/ 1 y) (/ z x)))) |
(* -1 (* y (+ (/ 1 y) (/ z x)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(pow (+ (* x (cos y)) (* z (sin y))) 2) |
(pow (+ (* x (cos y)) (* z (sin y))) 2) |
(pow (+ (* x (cos y)) (* z (sin y))) 2) |
(pow (+ (* x (cos y)) (* z (sin y))) 2) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* -1 (cos y)))) (* z (sin y))) |
(+ (* x (- (* x (- (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* z (sin y)))) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* -1 (cos y)))) (* z (sin y))) |
(/ (* z (sin y)) x) |
(/ (+ (* x (cos y)) (* z (sin y))) x) |
(/ (+ (* x (cos y)) (* z (sin y))) x) |
(/ (+ (* x (cos y)) (* z (sin y))) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* y z) |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
(* y z) |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* y z) |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
(* -1 (/ (* y z) x)) |
(/ (+ (* -1 x) (* -1 (* y z))) x) |
(/ (+ (* -1 x) (* -1 (* y z))) x) |
(/ (+ (* -1 x) (* -1 (* y z))) x) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* -1 (cos y)))) (* z (sin y))) |
(+ (* x (- (* x (- (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* z (sin y)))) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* -1 (cos y)))) (* z (sin y))) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(/ 1 (* z (sin y))) |
(+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(+ (* x (+ (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3))))) (/ 1 (* z (sin y)))) |
(+ (* x (+ (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* x (+ (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))))) (/ 1 (* z (sin y)))) |
(* (pow z 2) (pow (sin y) 2)) |
(+ (* 2 (* x (* z (* (cos y) (sin y))))) (* (pow z 2) (pow (sin y) 2))) |
(+ (* x (+ (* 2 (* z (* (cos y) (sin y)))) (* x (pow (cos y) 2)))) (* (pow z 2) (pow (sin y) 2))) |
(+ (* x (+ (* 2 (* z (* (cos y) (sin y)))) (* x (pow (cos y) 2)))) (* (pow z 2) (pow (sin y) 2))) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (pow x 2)))) (* -1 (/ (* z (sin y)) x)))) |
(* x (- (+ (cos y) (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* (pow x 3) (cos y))))) (+ (* -1 (/ (* z (sin y)) x)) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y))))))) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (/ (* y z) x))) |
x |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (/ (* y z) x))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (/ (* y z) x))) |
-1 |
(- (* -1 (/ (* y z) x)) 1) |
(- (* -1 (/ (* y z) x)) 1) |
(- (* -1 (/ (* y z) x)) 1) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (pow x 2)))) (* -1 (/ (* z (sin y)) x)))) |
(* x (- (+ (cos y) (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* (pow x 3) (cos y))))) (+ (* -1 (/ (* z (sin y)) x)) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y))))))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(/ 1 (* x (cos y))) |
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x) |
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))) x) |
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x) |
(* (pow x 2) (pow (cos y) 2)) |
(* (pow x 2) (+ (* 2 (/ (* z (* (cos y) (sin y))) x)) (pow (cos y) 2))) |
(* (pow x 2) (+ (* 2 (/ (* z (* (cos y) (sin y))) x)) (+ (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))) |
(* (pow x 2) (+ (* 2 (/ (* z (* (cos y) (sin y))) x)) (+ (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (* -1 (* z (sin y)))) x))))) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
x |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
x |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
-1 |
(- (* -1 (/ (* y z) x)) 1) |
(- (* -1 (/ (* y z) x)) 1) |
(- (* -1 (/ (* y z) x)) 1) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (* -1 (* z (sin y)))) x))))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(/ 1 (* x (cos y))) |
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* z (sin y)) (pow (cos y) 2))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* z (sin y)) (pow (cos y) 2))) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) x))) x)) (/ 1 (cos y))) x)) |
(* (pow x 2) (pow (cos y) 2)) |
(* (pow x 2) (+ (* 2 (/ (* z (* (cos y) (sin y))) x)) (pow (cos y) 2))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -2 (* z (* (cos y) (sin y)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) x))) x)) (pow (cos y) 2))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -2 (* z (* (cos y) (sin y)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) x))) x)) (pow (cos y) 2))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
| Outputs |
|---|
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) z (sin.f64 y)) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (- (* z (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (neg.f64 (cos.f64 y))) z (sin.f64 y)) z (*.f64 (cos.f64 y) x)) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
x |
(+ x (* y z)) |
(fma.f64 z y x) |
(+ x (* y z)) |
(fma.f64 z y x) |
(+ x (* y z)) |
(fma.f64 z y x) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
x |
(+ x (* y z)) |
(fma.f64 z y x) |
(+ x (* y z)) |
(fma.f64 z y x) |
(+ x (* y z)) |
(fma.f64 z y x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
x |
(+ x (* y z)) |
(fma.f64 z y x) |
(+ x (* y z)) |
(fma.f64 z y x) |
(+ x (* y z)) |
(fma.f64 z y x) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (* y z) x)) 1) |
(neg.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) |
(- (* -1 (/ (* y z) x)) 1) |
(neg.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) |
(- (* -1 (/ (* y z) x)) 1) |
(neg.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) z (sin.f64 y)) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (- (* z (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (neg.f64 (cos.f64 y))) z (sin.f64 y)) z (*.f64 (cos.f64 y) x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(/ 1 (* x (cos y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y)))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x))) x) |
(+ (* z (+ (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))))) (/ 1 (* x (cos y)))) |
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(+ (* z (+ (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (* z (+ (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))))))) (/ 1 (* x (cos y)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) z (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(* (pow x 2) (pow (cos y) 2)) |
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) |
(+ (* 2 (* x (* z (* (cos y) (sin y))))) (* (pow x 2) (pow (cos y) 2))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (cos.f64 y))) (sin.f64 y) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) x) |
(+ (* z (+ (* 2 (* x (* (cos y) (sin y)))) (* z (pow (sin y) 2)))) (* (pow x 2) (pow (cos y) 2))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (cos.f64 y))) (sin.f64 y) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) x (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) |
(+ (* z (+ (* 2 (* x (* (cos y) (sin y)))) (* z (pow (sin y) 2)))) (* (pow x 2) (pow (cos y) 2))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (cos.f64 y))) (sin.f64 y) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) x (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (pow z 2)))) (* -1 (/ (* x (cos y)) z)))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (- (+ (sin y) (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* (pow z 3) (sin y))))) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (-.f64 (sin.f64 y) (/.f64 (*.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 0 binary64)) (sin.f64 y)))) z) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) z) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) z) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* y z) |
(*.f64 z y) |
(* z (+ y (/ x z))) |
(*.f64 (+.f64 (/.f64 x z) y) z) |
(* z (+ y (/ x z))) |
(*.f64 (+.f64 (/.f64 x z) y) z) |
(* z (+ y (/ x z))) |
(*.f64 (+.f64 (/.f64 x z) y) z) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* z (+ y (/ x z))) |
(*.f64 (+.f64 (/.f64 x z) y) z) |
(* z (+ y (/ x z))) |
(*.f64 (+.f64 (/.f64 x z) y) z) |
(* z (+ y (/ x z))) |
(*.f64 (+.f64 (/.f64 x z) y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* y z) |
(*.f64 z y) |
(* z (+ y (/ x z))) |
(*.f64 (+.f64 (/.f64 x z) y) z) |
(* z (+ y (/ x z))) |
(*.f64 (+.f64 (/.f64 x z) y) z) |
(* z (+ y (/ x z))) |
(*.f64 (+.f64 (/.f64 x z) y) z) |
(* -1 (/ (* y z) x)) |
(*.f64 (neg.f64 y) (/.f64 z x)) |
(* z (- (* -1 (/ y x)) (/ 1 z))) |
(neg.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) |
(* z (- (* -1 (/ y x)) (/ 1 z))) |
(neg.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) |
(* z (- (* -1 (/ y x)) (/ 1 z))) |
(neg.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (pow z 2)))) (* -1 (/ (* x (cos y)) z)))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (- (+ (sin y) (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* (pow z 3) (sin y))))) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (-.f64 (sin.f64 y) (/.f64 (*.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 0 binary64)) (sin.f64 y)))) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
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(*.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) x) |
(* x (+ 1 (/ (* y z) x))) |
(*.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (* y z) x)) 1) |
(neg.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) |
(- (* -1 (/ (* y z) x)) 1) |
(neg.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) |
(- (* -1 (/ (* y z) x)) 1) |
(neg.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(* x (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (pow x 2)))) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(* x (- (+ (cos y) (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* (pow x 3) (cos y))))) (+ (* -1 (/ (* z (sin y)) x)) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y))))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (-.f64 (cos.f64 y) (/.f64 (*.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal 0 binary64)) (cos.f64 y)))) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(/ 1 (* x (cos y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)) |
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x))) x) |
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))) x) |
(/.f64 (fma.f64 (/.f64 (neg.f64 z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (/.f64 #s(literal 1 binary64) (cos.f64 y)))) x) |
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (fma.f64 (/.f64 (neg.f64 z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))))) x) |
(* (pow x 2) (pow (cos y) 2)) |
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (+ (* 2 (/ (* z (* (cos y) (sin y))) x)) (pow (cos y) 2))) |
(*.f64 (fma.f64 (*.f64 (*.f64 z (cos.f64 y)) (/.f64 (sin.f64 y) x)) #s(literal 2 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (+ (* 2 (/ (* z (* (cos y) (sin y))) x)) (+ (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (*.f64 z z) (fma.f64 (*.f64 (*.f64 z (cos.f64 y)) (/.f64 (sin.f64 y) x)) #s(literal 2 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 x x)) |
(* (pow x 2) (+ (* 2 (/ (* z (* (cos y) (sin y))) x)) (+ (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (*.f64 z z) (fma.f64 (*.f64 (*.f64 z (cos.f64 y)) (/.f64 (sin.f64 y) x)) #s(literal 2 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 x x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (* -1 (* z (sin y)))) x))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (sin.f64 y) z (neg.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (neg.f64 (cos.f64 y))))) (neg.f64 x)) (cos.f64 y)) (neg.f64 x)) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
x |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)))) |
x |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)))) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
x |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (* y z) x)) 1) |
(neg.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) |
(- (* -1 (/ (* y z) x)) 1) |
(neg.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) |
(- (* -1 (/ (* y z) x)) 1) |
(neg.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (* -1 (* z (sin y)))) x))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (sin.f64 y) z (neg.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (neg.f64 (cos.f64 y))))) (neg.f64 x)) (cos.f64 y)) (neg.f64 x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(/ 1 (* x (cos y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)) |
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x)) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* z (sin y)) (pow (cos y) 2))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) x)) (/ 1 (cos y))) x)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* z (sin y)) (pow (cos y) 2))) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) x))) x)) (/ 1 (cos y))) x)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) x))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x)) |
(* (pow x 2) (pow (cos y) 2)) |
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (+ (* 2 (/ (* z (* (cos y) (sin y))) x)) (pow (cos y) 2))) |
(*.f64 (fma.f64 (*.f64 (*.f64 z (cos.f64 y)) (/.f64 (sin.f64 y) x)) #s(literal 2 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -2 (* z (* (cos y) (sin y)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) x))) x)) (pow (cos y) 2))) |
(*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (cos.f64 y))) (sin.f64 y) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x))) x)) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -2 (* z (* (cos y) (sin y)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) x))) x)) (pow (cos y) 2))) |
(*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (cos.f64 y))) (sin.f64 y) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x))) x)) (*.f64 x x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (neg.f64 x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
| 5 950× | lower-fma.f32 |
| 5 944× | lower-fma.f64 |
| 4 686× | lower-*.f32 |
| 4 676× | lower-*.f64 |
| 4 234× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 252 |
| 0 | 70 | 250 |
| 1 | 286 | 188 |
| 2 | 1858 | 188 |
| 0 | 8659 | 184 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(/.f64 (sin.f64 y) x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* z y) x) (*.f64 z y)) |
(*.f64 z y) |
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))) |
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (sin.f64 y) z)) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
(*.f64 x (cos.f64 y)) |
| Outputs |
|---|
#<batchref> |
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#<batchref> |
#<batchref> |
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Compiled 36 185 to 3 033 computations (91.6% saved)
37 alts after pruning (31 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 290 | 18 | 1 308 |
| Fresh | 14 | 13 | 27 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 306 | 37 | 1 343 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
| 79.4% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (sin.f64 y) z)) | |
| 46.1% | (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) | |
| 46.1% | (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)) | |
| 15.3% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 #s(approx (+ (* z (sin y)) (* x (cos y))) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) | |
| 38.5% | (/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2) (fma.f64 (/.f64 z (*.f64 (neg.f64 x) x)) y (/.f64 #s(literal 1 binary64) x)))) | |
| 34.4% | (/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z)))) | |
| 40.7% | (/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) | |
| 61.3% | (/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) | |
| 41.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2) (/.f64 #s(literal 1 binary64) x))) | |
| 54.9% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) | |
| 78.9% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)))) | |
| ✓ | 92.1% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) |
| 89.0% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) | |
| 88.3% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (cos.f64 y)) x)) | |
| ▶ | 92.1% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x)) |
| 88.3% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x)) | |
| ✓ | 40.8% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (sin.f64 y) z)) |
| ▶ | 50.7% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) |
| ▶ | 41.3% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) |
| 54.7% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))) | |
| ▶ | 17.8% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
| 17.8% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) | |
| ✓ | 56.1% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
| ▶ | 27.5% | #s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) |
| 55.9% | #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) | |
| ✓ | 61.5% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
| 39.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| 39.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| 39.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) | |
| 54.5% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x))) | |
| 48.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) | |
| 40.7% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) | |
| 12.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 #s(approx (+ (* (neg y) (/ z x)) -1) (*.f64 (neg.f64 y) (/.f64 z x))) (neg.f64 x)))) | |
| ✓ | 18.1% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
| 39.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) | |
| 39.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
Compiled 819 to 691 computations (15.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x (cos.f64 y)) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 x (cos.f64 y))) | |
| cost-diff | 0 | #s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) | |
| cost-diff | 7104 | (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) | |
| cost-diff | 0 | (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) | |
| cost-diff | 0 | #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)) | |
| cost-diff | 0 | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) | |
| cost-diff | 0 | (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x) | |
| cost-diff | 0 | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) | |
| cost-diff | 0 | #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (*.f64 z (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x)) | |
| cost-diff | 704 | (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x) | |
| cost-diff | 6080 | (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) |
| 6 478× | lower-fma.f32 |
| 6 470× | lower-fma.f64 |
| 5 816× | lower-*.f32 |
| 5 800× | lower-*.f64 |
| 1 420× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 424 |
| 0 | 78 | 427 |
| 1 | 144 | 418 |
| 2 | 292 | 415 |
| 3 | 694 | 408 |
| 4 | 1516 | 408 |
| 5 | 2588 | 408 |
| 6 | 5780 | 408 |
| 0 | 8240 | 391 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x)) |
(*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x) |
(fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
(pow.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(cos.f64 y) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) |
(fma.f64 (/.f64 z x) y #s(literal 1 binary64)) |
(/.f64 z x) |
z |
x |
y |
#s(literal 1 binary64) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y) |
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) |
(*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
z |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) |
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 x (cos.f64 y))) |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) |
(*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x) |
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
(fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) |
(fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
(pow.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(cos.f64 y) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x) |
(*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) |
(fma.f64 (/.f64 z x) y #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) z #s(literal 1 binary64)) |
(/.f64 z x) |
z |
x |
y |
#s(literal 1 binary64) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) z))) |
#s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)) |
#s(approx (* (sin y) z) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) z)) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) z) |
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z) (*.f64 y y) z) |
(*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z) |
z |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) x) |
(sqrt.f64 (*.f64 x (cos.f64 y))) |
(sqrt.f64 (*.f64 (cos.f64 y) x)) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
x |
(cos.f64 y) |
y |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0234375 | (sqrt.f64 (*.f64 x (cos.f64 y))) | |
| accuracy | 0.03515625 | (*.f64 x (cos.f64 y)) | |
| accuracy | 0.24609375 | (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) | |
| accuracy | 12.521679060256755 | #s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) | |
| accuracy | 0.02734375 | (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) | |
| accuracy | 2.695848878001998 | (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) | |
| accuracy | 14.869944621492362 | #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)) | |
| accuracy | 17.02066652364471 | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) | |
| accuracy | 0 | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) | |
| accuracy | 1.4416683339623368 | (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) | |
| accuracy | 2.413183390440925 | (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x) | |
| accuracy | 13.39448640908426 | #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) | |
| accuracy | 0 | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) | |
| accuracy | 2.413183390440925 | (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x) | |
| accuracy | 18.633323054995625 | #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) | |
| accuracy | 0 | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x)) | |
| accuracy | 0.05859375 | (*.f64 z (sin.f64 y)) | |
| accuracy | 0.07488251953688403 | (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) | |
| accuracy | 2.413183390440925 | (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x) |
| 94.0ms | 135× | 0 | invalid |
| 70.0ms | 121× | 0 | valid |
Compiled 326 to 46 computations (85.9% saved)
ival-mult: 36.0ms (32.2% of total)ival-add: 30.0ms (26.9% of total)ival-pow: 15.0ms (13.4% of total)ival-sin: 6.0ms (5.4% of total)const: 6.0ms (5.4% of total)ival-div: 5.0ms (4.5% of total)ival-cos: 5.0ms (4.5% of total)ival-pow2: 4.0ms (3.6% of total)ival-sqrt: 2.0ms (1.8% of total)ival-sub: 1.0ms (0.9% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) (patch (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x) (patch (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x)) (patch #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) (patch #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) (patch #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) (patch #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x) (patch (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) (patch #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) (patch #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)) (patch #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) (patch (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (patch (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (patch (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (*.f64 x (cos.f64 y))) (patch (sqrt.f64 (*.f64 x (cos.f64 y))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (cos y) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) (patch (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos y) (/ (* z (sin y)) x)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) (patch (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos y) (/ (* z (sin y)) x)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) (patch (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos y) (/ (* z (sin y)) x)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) (patch (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x) (patch (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x) (patch (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x) (patch (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x) (patch (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x)) (patch #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x)) (patch #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) (taylor 0 z) (#s(alt #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x)) (patch #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (- (* z (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) (taylor 0 z) (#s(alt #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x)) (patch #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) (patch #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) (patch #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) (taylor 0 z) (#s(alt #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) (patch #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (- (* z (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) (taylor 0 z) (#s(alt #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) (patch #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor 0 z) (#s(alt #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) (patch #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos y) (/ (* z (sin y)) x)) (taylor 0 z) (#s(alt #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) (patch #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos y) (/ (* z (sin y)) x)) (taylor 0 z) (#s(alt #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) (patch #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos y) (/ (* z (sin y)) x)) (taylor 0 z) (#s(alt #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) (patch #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) (patch #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) (patch #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) (taylor 0 z) (#s(alt #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) (patch #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (- (* z (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) (taylor 0 z) (#s(alt #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) (patch #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x) (patch (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x) (patch (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x) (patch (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x) (patch (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor 0 z) (#s(alt #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) (patch #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | y | @ | inf | ((+ (* (* z (sin y)) (pow x -1)) (cos y)) (* (+ (* (* z (sin y)) (pow x -1)) (cos y)) x) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* z (sin y)) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (+ (* (/ z x) y) 1) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* (sin y) z) (+ (* (* z (+ (* 1/120 (* y y)) -1/6)) (* y y)) z) (* z (+ (* 1/120 (* y y)) -1/6)) (pow (sqrt (* x (cos y))) 2) (+ (* x (cos y)) (* z (sin y))) (sqrt (* x (cos y))) (* x (cos y)) (+ (* 1/120 (* y y)) -1/6)) |
| 5.0ms | x | @ | -inf | ((+ (* (* z (sin y)) (pow x -1)) (cos y)) (* (+ (* (* z (sin y)) (pow x -1)) (cos y)) x) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* z (sin y)) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (+ (* (/ z x) y) 1) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* (sin y) z) (+ (* (* z (+ (* 1/120 (* y y)) -1/6)) (* y y)) z) (* z (+ (* 1/120 (* y y)) -1/6)) (pow (sqrt (* x (cos y))) 2) (+ (* x (cos y)) (* z (sin y))) (sqrt (* x (cos y))) (* x (cos y)) (+ (* 1/120 (* y y)) -1/6)) |
| 4.0ms | y | @ | -inf | ((+ (* (* z (sin y)) (pow x -1)) (cos y)) (* (+ (* (* z (sin y)) (pow x -1)) (cos y)) x) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* z (sin y)) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (+ (* (/ z x) y) 1) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* (sin y) z) (+ (* (* z (+ (* 1/120 (* y y)) -1/6)) (* y y)) z) (* z (+ (* 1/120 (* y y)) -1/6)) (pow (sqrt (* x (cos y))) 2) (+ (* x (cos y)) (* z (sin y))) (sqrt (* x (cos y))) (* x (cos y)) (+ (* 1/120 (* y y)) -1/6)) |
| 3.0ms | z | @ | -inf | ((+ (* (* z (sin y)) (pow x -1)) (cos y)) (* (+ (* (* z (sin y)) (pow x -1)) (cos y)) x) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* z (sin y)) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (+ (* (/ z x) y) 1) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* (sin y) z) (+ (* (* z (+ (* 1/120 (* y y)) -1/6)) (* y y)) z) (* z (+ (* 1/120 (* y y)) -1/6)) (pow (sqrt (* x (cos y))) 2) (+ (* x (cos y)) (* z (sin y))) (sqrt (* x (cos y))) (* x (cos y)) (+ (* 1/120 (* y y)) -1/6)) |
| 3.0ms | z | @ | 0 | ((+ (* (* z (sin y)) (pow x -1)) (cos y)) (* (+ (* (* z (sin y)) (pow x -1)) (cos y)) x) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* z (sin y)) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (+ (* (/ z x) y) 1) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* (sin y) z) (+ (* (* z (+ (* 1/120 (* y y)) -1/6)) (* y y)) z) (* z (+ (* 1/120 (* y y)) -1/6)) (pow (sqrt (* x (cos y))) 2) (+ (* x (cos y)) (* z (sin y))) (sqrt (* x (cos y))) (* x (cos y)) (+ (* 1/120 (* y y)) -1/6)) |
| 1× | egg-herbie |
| 5 332× | lower-fma.f64 |
| 5 332× | lower-fma.f32 |
| 4 350× | lower-*.f64 |
| 4 350× | lower-*.f32 |
| 1 390× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 359 | 6412 |
| 1 | 1247 | 6289 |
| 2 | 4733 | 6243 |
| 0 | 8184 | 5765 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(+ (* x (cos y)) (* z (- (* z (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(+ (* x (cos y)) (* z (- (* z (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(+ (* x (cos y)) (* z (- (* z (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
1 |
(+ 1 (/ (* y z) x)) |
(+ 1 (/ (* y z) x)) |
(+ 1 (/ (* y z) x)) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(+ (* x (cos y)) (* z (- (* z (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(/ (* z (sin y)) x) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (pow z 2)))) (* -1 (/ (* x (cos y)) z)))) |
(* z (- (+ (sin y) (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* (pow z 3) (sin y))))) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (pow z 2)))) (* -1 (/ (* x (cos y)) z)))) |
(* z (- (+ (sin y) (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* (pow z 3) (sin y))))) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(/ (* z (sin y)) x) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (pow z 2)))) (* -1 (/ (* x (cos y)) z)))) |
(* z (- (+ (sin y) (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* (pow z 3) (sin y))))) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(/ (* z (sin y)) x) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(/ (* y z) x) |
(* z (+ (/ 1 z) (/ y x))) |
(* z (+ (/ 1 z) (/ y x))) |
(* z (+ (/ 1 z) (/ y x))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (pow z 2)))) (* -1 (/ (* x (cos y)) z)))) |
(* z (- (+ (sin y) (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* (pow z 3) (sin y))))) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(/ (* z (sin y)) x) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (* -1 (* x (cos y)))) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* z (sin y)))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z)) (* -1 (* x (cos y)))) z))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (* -1 (* x (cos y)))) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* z (sin y)))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z)) (* -1 (* x (cos y)))) z))))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(/ (* z (sin y)) x) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (* -1 (* x (cos y)))) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* z (sin y)))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z)) (* -1 (* x (cos y)))) z))))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(/ (* z (sin y)) x) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(/ (* y z) x) |
(* -1 (* z (- (* -1 (/ y x)) (/ 1 z)))) |
(* -1 (* z (- (* -1 (/ y x)) (/ 1 z)))) |
(* -1 (* z (- (* -1 (/ y x)) (/ 1 z)))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (* -1 (* x (cos y)))) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* z (sin y)))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z)) (* -1 (* x (cos y)))) z))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
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(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (pow x 2)))) (* -1 (/ (* z (sin y)) x)))) |
(* x (- (+ (cos y) (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* (pow x 3) (cos y))))) (+ (* -1 (/ (* z (sin y)) x)) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y))))))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (pow x 2)))) (* -1 (/ (* z (sin y)) x)))) |
(* x (- (+ (cos y) (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* (pow x 3) (cos y))))) (+ (* -1 (/ (* z (sin y)) x)) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y))))))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (pow x 2)))) (* -1 (/ (* z (sin y)) x)))) |
(* x (- (+ (cos y) (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* (pow x 3) (cos y))))) (+ (* -1 (/ (* z (sin y)) x)) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y))))))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
1 |
(+ 1 (/ (* y z) x)) |
(+ 1 (/ (* y z) x)) |
(+ 1 (/ (* y z) x)) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (pow x 2)))) (* -1 (/ (* z (sin y)) x)))) |
(* x (- (+ (cos y) (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* (pow x 3) (cos y))))) (+ (* -1 (/ (* z (sin y)) x)) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y))))))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(sqrt (* x (cos y))) |
(sqrt (* x (cos y))) |
(sqrt (* x (cos y))) |
(sqrt (* x (cos y))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (* -1 (* z (sin y)))) x))))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (* -1 (* z (sin y)))) x))))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (* -1 (* z (sin y)))) x))))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
1 |
(+ 1 (/ (* y z) x)) |
(+ 1 (/ (* y z) x)) |
(+ 1 (/ (* y z) x)) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (* -1 (* z (sin y)))) x))))) |
(* -1 (* x (* (cos y) (pow (sqrt -1) 2)))) |
(* -1 (* x (* (cos y) (pow (sqrt -1) 2)))) |
(* -1 (* x (* (cos y) (pow (sqrt -1) 2)))) |
(* -1 (* x (* (cos y) (pow (sqrt -1) 2)))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -1) 2))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
| Outputs |
|---|
(cos y) |
(cos.f64 y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (- (* z (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (- (* z (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (- (* z (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ (* y z) x)) |
(fma.f64 (/.f64 z x) y #s(literal 1 binary64)) |
(+ 1 (/ (* y z) x)) |
(fma.f64 (/.f64 z x) y #s(literal 1 binary64)) |
(+ 1 (/ (* y z) x)) |
(fma.f64 (/.f64 z x) y #s(literal 1 binary64)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (- (* z (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) |
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) |
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) |
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) z) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) z) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) z) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) z) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) z) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) z) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (pow z 2)))) (* -1 (/ (* x (cos y)) z)))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (- (+ (sin y) (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* (pow z 3) (sin y))))) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (pow z 2)))) (* -1 (/ (* x (cos y)) z)))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (- (+ (sin y) (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* (pow z 3) (sin y))))) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) z) |
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(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (* -1 (* z (sin y)))) x))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (* -1 (* z (sin y)))) x))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ (* y z) x)) |
(fma.f64 (/.f64 z x) y #s(literal 1 binary64)) |
(+ 1 (/ (* y z) x)) |
(fma.f64 (/.f64 z x) y #s(literal 1 binary64)) |
(+ 1 (/ (* y z) x)) |
(fma.f64 (/.f64 z x) y #s(literal 1 binary64)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (* -1 (* z (sin y)))) x))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(* -1 (* x (* (cos y) (pow (sqrt -1) 2)))) |
(*.f64 x (cos.f64 y)) |
(* -1 (* x (* (cos y) (pow (sqrt -1) 2)))) |
(*.f64 x (cos.f64 y)) |
(* -1 (* x (* (cos y) (pow (sqrt -1) 2)))) |
(*.f64 x (cos.f64 y)) |
(* -1 (* x (* (cos y) (pow (sqrt -1) 2)))) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -1) 2))) |
(sqrt.f64 (*.f64 x (cos.f64 y))) |
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -1) 2))) |
(sqrt.f64 (*.f64 x (cos.f64 y))) |
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -1) 2))) |
(sqrt.f64 (*.f64 x (cos.f64 y))) |
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -1) 2))) |
(sqrt.f64 (*.f64 x (cos.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
| 7 136× | lower-fma.f32 |
| 7 128× | lower-fma.f64 |
| 4 536× | lower-*.f32 |
| 4 520× | lower-*.f64 |
| 3 618× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 377 |
| 0 | 78 | 374 |
| 1 | 318 | 264 |
| 2 | 1956 | 264 |
| 0 | 8274 | 250 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) |
(*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x)) |
(*.f64 z (sin.f64 y)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) |
(fma.f64 (/.f64 z x) y #s(literal 1 binary64)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)) |
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) |
(*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 x (cos.f64 y))) |
(*.f64 x (cos.f64 y)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
| Outputs |
|---|
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Compiled 14 456 to 1 642 computations (88.6% saved)
38 alts after pruning (29 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 889 | 8 | 897 |
| Fresh | 5 | 21 | 26 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 896 | 38 | 934 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
| 79.4% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (sin.f64 y) z)) | |
| 46.1% | (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) | |
| 46.1% | (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)) | |
| 15.3% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 #s(approx (+ (* z (sin y)) (* x (cos y))) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) | |
| 38.5% | (/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2) (fma.f64 (/.f64 z (*.f64 (neg.f64 x) x)) y (/.f64 #s(literal 1 binary64) x)))) | |
| 34.4% | (/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z)))) | |
| 40.7% | (/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) | |
| 61.3% | (/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) | |
| 41.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2) (/.f64 #s(literal 1 binary64) x))) | |
| 54.9% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) | |
| 78.9% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y)))) | |
| ✓ | 92.1% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) |
| 89.0% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) | |
| 88.3% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (cos.f64 y)) x)) | |
| 88.3% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x)) | |
| ✓ | 92.1% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x)) |
| ✓ | 40.8% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (sin.f64 y) z)) |
| 54.3% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 z (/.f64 y x) #s(literal 1 binary64))) x)) | |
| 12.8% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(approx (+ (* (/ z x) y) 1) (*.f64 (/.f64 z x) y))) x)) | |
| ✓ | 41.3% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) |
| 54.7% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))) | |
| 17.8% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z) y))) | |
| 17.8% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) | |
| 17.8% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) | |
| ✓ | 56.1% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
| 27.3% | #s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) | |
| ✓ | 27.5% | #s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) |
| 55.9% | #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) | |
| ✓ | 61.5% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
| 39.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| 39.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) | |
| 39.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (pow (sqrt (* x (cos y))) 2) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) x))) | |
| 48.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) | |
| 40.7% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) | |
| ✓ | 18.1% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
| 39.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) | |
| 39.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
Compiled 1 584 to 692 computations (56.3% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(approx (+ (* (/ z x) y) 1) (*.f64 (/.f64 z x) y))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 z (/.f64 y x) #s(literal 1 binary64))) x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 #s(approx (+ (* (neg y) (/ z x)) -1) (*.f64 (neg.f64 y) (/.f64 z x))) (neg.f64 x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (pow (sqrt (* x (cos y))) 2) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2) (fma.f64 (/.f64 z (*.f64 (neg.f64 x) x)) y (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (sin.f64 y) z)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (sin.f64 y) z)) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) x)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 #s(approx (+ (* z (sin y)) (* x (cos y))) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (cos.f64 y)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #s(approx (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #s(approx (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2)) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (*.f64 (sin.f64 y) z)))) |
(/.f64 #s(approx (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 z (sin.f64 y)) z) #s(literal 1 binary64)) (/.f64 (sin.f64 y) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
(/.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 9 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 9 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
4 calls:
| 65.0ms | z |
| 44.0ms | x |
| 19.0ms | y |
| 19.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(approx (+ (* (/ z x) y) 1) (*.f64 (/.f64 z x) y))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 z (/.f64 y x) #s(literal 1 binary64))) x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 #s(approx (+ (* (neg y) (/ z x)) -1) (*.f64 (neg.f64 y) (/.f64 z x))) (neg.f64 x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (pow (sqrt (* x (cos y))) 2) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2) (fma.f64 (/.f64 z (*.f64 (neg.f64 x) x)) y (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (sin.f64 y) z)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (sin.f64 y) z)) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
| Outputs |
|---|
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (sin.f64 y) z)) |
4 calls:
| 36.0ms | x |
| 18.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 11.0ms | z |
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.6% | 3 | x |
| 79.4% | 1 | y |
| 89.0% | 3 | z |
| 79.4% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(approx (+ (* (/ z x) y) 1) (*.f64 (/.f64 z x) y))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 z (/.f64 y x) #s(literal 1 binary64))) x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 #s(approx (+ (* (neg y) (/ z x)) -1) (*.f64 (neg.f64 y) (/.f64 z x))) (neg.f64 x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (pow (sqrt (* x (cos y))) 2) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2) (fma.f64 (/.f64 z (*.f64 (neg.f64 x) x)) y (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (sin.f64 y) z)) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
4 calls:
| 10.0ms | x |
| 10.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 10.0ms | y |
| 10.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.7% | 3 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 80.4% | 4 | y |
| 81.3% | 3 | x |
| 76.4% | 3 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(approx (+ (* (/ z x) y) 1) (*.f64 (/.f64 z x) y))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 z (/.f64 y x) #s(literal 1 binary64))) x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 #s(approx (+ (* (neg y) (/ z x)) -1) (*.f64 (neg.f64 y) (/.f64 z x))) (neg.f64 x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (pow (sqrt (* x (cos y))) 2) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2) (fma.f64 (/.f64 z (*.f64 (neg.f64 x) x)) y (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
2 calls:
| 42.0ms | x |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.8% | 3 | y |
| 71.1% | 3 | x |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(approx (+ (* (/ z x) y) 1) (*.f64 (/.f64 z x) y))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 z (/.f64 y x) #s(literal 1 binary64))) x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 #s(approx (+ (* (neg y) (/ z x)) -1) (*.f64 (neg.f64 y) (/.f64 z x))) (neg.f64 x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (pow (sqrt (* x (cos y))) 2) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z #s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (*.f64 y y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (pow (+ (* z (sin y)) (* x (cos y))) 2) -1/2) (fma.f64 (/.f64 z (*.f64 (neg.f64 x) x)) y (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
4 calls:
| 32.0ms | z |
| 9.0ms | y |
| 9.0ms | x |
| 9.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.1% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 56.1% | 1 | x |
| 56.1% | 1 | z |
| 56.1% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
4 calls:
| 7.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.4% | 3 | z |
| 48.6% | 3 | x |
| 41.3% | 1 | y |
| 41.3% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
4 calls:
| 1.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 18.1% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 18.1% | 1 | y |
| 18.1% | 1 | z |
| 18.1% | 1 | x |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 12604308.485794356 | 1082818080778.7081 |
| 24.0ms | -6.829462775973574e-104 | -7.836945848955019e-106 |
| 50.0ms | 256× | 0 | valid |
Compiled 220 to 270 computations (-22.7% saved)
ival-cos: 6.0ms (39.7% of total)ival-sin: 5.0ms (33.1% of total)ival-mult: 3.0ms (19.9% of total)ival-add: 1.0ms (6.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 3.6059458844775947e-71 | 7.687918439241767e-71 |
| 17.0ms | -3.801551528934017e-71 | -2.2661620518815198e-79 |
| 18.0ms | 224× | 0 | valid |
Compiled 152 to 210 computations (-38.2% saved)
ival-cos: 5.0ms (40.4% of total)ival-sin: 4.0ms (32.3% of total)ival-mult: 3.0ms (24.2% of total)ival-add: 1.0ms (8.1% 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 |
|---|---|---|
| 26.0ms | 3.09993916215138e-14 | 7.308617424127196e-12 |
| 12.0ms | -4.5446179522439515e-5 | -8.373867645184036e-10 |
| 14.0ms | 240× | 0 | valid |
Compiled 162 to 209 computations (-29% saved)
ival-mult: 3.0ms (35.1% of total)ival-cos: 2.0ms (23.4% of total)ival-sin: 2.0ms (23.4% of total)ival-add: 1.0ms (11.7% 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 |
|---|---|---|
| 31.0ms | 7.688277640034436e-86 | 3.2159961798488543e-72 |
| 12.0ms | -3.801551528934017e-71 | -2.2661620518815198e-79 |
| 33.0ms | 256× | 0 | valid |
Compiled 202 to 299 computations (-48% saved)
ival-sin: 17.0ms (63.1% of total)ival-cos: 5.0ms (18.6% of total)ival-mult: 3.0ms (11.1% of total)ival-add: 1.0ms (3.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 8× | *-commutative-binary64-*.f64 |
| 2× | 1-exp-binary32-exp.f32 |
| 2× | 1-exp-binary64-exp.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 242 |
| 1 | 58 | 242 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(if (<=.f64 z #s(literal -7359412152547689/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (sin.f64 y) z)) (if (<=.f64 z #s(literal 53000000 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (sin.f64 y) z)))) |
(if (<=.f64 x #s(literal -5997033914328727/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 2300119968395263/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)))) |
(if (<=.f64 y #s(literal -5902958103587057/147573952589676412928 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 4456584141427369/618970019642690137449562112 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(if (<=.f64 x #s(literal -458903464748633/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 46479077901639/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
(if (<=.f64 z #s(literal -7359412152547689/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (sin.f64 y) z)) (if (<=.f64 z #s(literal 53000000 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (sin.f64 y) z)))) |
(if (<=.f64 z #s(literal -7359412152547689/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 53000000 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y))))) |
(if (<=.f64 x #s(literal -5997033914328727/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 2300119968395263/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)))) |
(if (<=.f64 x #s(literal -5997033914328727/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 2300119968395263/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))) |
(if (<=.f64 y #s(literal -5902958103587057/147573952589676412928 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 4456584141427369/618970019642690137449562112 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)))) |
(if (<=.f64 y #s(literal -5902958103587057/147573952589676412928 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 4456584141427369/618970019642690137449562112 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(if (<=.f64 x #s(literal -458903464748633/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 46479077901639/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
| 11 652× | lower-fma.f64 |
| 11 652× | lower-fma.f32 |
| 11 480× | lower-fma.f64 |
| 11 480× | lower-fma.f32 |
| 8 100× | 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 | 8386 | 20 |
| 0 | 576 | 5703 |
| 1 | 2027 | 5334 |
| 2 | 7800 | 5300 |
| 0 | 8206 | 4977 |
| 0 | 109 | 682 |
| 1 | 343 | 678 |
| 2 | 985 | 666 |
| 3 | 2635 | 660 |
| 4 | 4674 | 660 |
| 5 | 6996 | 660 |
| 0 | 8178 | 604 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 213 to 126 computations (40.8% saved)
Compiled 250 to 104 computations (58.4% saved)
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