
Time bar (total: 9.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 1.1s | 8 256× | 0 | valid |
ival-cos: 359.0ms (42.7% of total)ival-sin: 280.0ms (33.3% of total)ival-mult: 127.0ms (15.1% of total)ival-add: 65.0ms (7.7% of total)ival-true: 6.0ms (0.7% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | (*.f64 z (cos.f64 y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x (sin.f64 y)) |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 93.0ms | 512× | 0 | valid |
Compiled 85 to 36 computations (57.6% saved)
ival-sin: 14.0ms (37.3% of total)ival-cos: 11.0ms (29.3% of total)ival-mult: 9.0ms (24% of total)ival-add: 2.0ms (5.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 180× | associate-*r* |
| 160× | unsub-neg |
| 142× | associate-*l* |
| 136× | distribute-lft-neg-in |
| 110× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 87 |
| 1 | 79 | 81 |
| 2 | 139 | 81 |
| 3 | 307 | 81 |
| 4 | 458 | 81 |
| 5 | 693 | 81 |
| 6 | 871 | 81 |
| 7 | 957 | 81 |
| 8 | 1038 | 81 |
| 9 | 1104 | 81 |
| 10 | 1118 | 81 |
| 11 | 1123 | 81 |
| 12 | 1125 | 81 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 16 | 9 |
| 0 | 16 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (cos.f64 y)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 x (sin.f64 y)) | |
| cost-diff | 128 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 8× | lower-fma.f64 |
| 8× | lower-fma.f32 |
| 8× | lower-*.f32 |
| 4× | *-commutative |
| 4× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 16 | 24 |
| 0 | 16 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
| Outputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
z |
(cos.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.00390625 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) | |
| accuracy | 0.10546875 | (*.f64 z (cos.f64 y)) | |
| accuracy | 0.12109375 | (*.f64 x (sin.f64 y)) |
| 56.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-cos: 30.0ms (62.7% of total)ival-sin: 13.0ms (27.2% of total)ival-mult: 3.0ms (6.3% of total)ival-add: 1.0ms (2.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* y (+ x (* -1/2 (* y z))))) (taylor 0 y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) (taylor 0 y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1/6 (* x (pow y 2))))) (taylor 0 y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) (taylor 0 y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) (taylor 0 y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1/2 (* (pow y 2) z))) (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (pow y 2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | z | @ | 0 | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | y | @ | inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | x | @ | -inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | y | @ | 0 | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1× | egg-herbie |
| 12 858× | lower-fma.f64 |
| 12 858× | lower-fma.f32 |
| 4 718× | lower-*.f64 |
| 4 718× | lower-*.f32 |
| 2 178× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 682 |
| 1 | 344 | 678 |
| 2 | 981 | 668 |
| 3 | 2637 | 662 |
| 4 | 4654 | 662 |
| 5 | 6949 | 662 |
| 0 | 8182 | 606 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
| Outputs |
|---|
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
z |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y x)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(*.f64 z (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(*.f64 z (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
| 11 480× | lower-fma.f64 |
| 11 480× | lower-fma.f32 |
| 4 168× | lower-*.f32 |
| 4 164× | lower-*.f64 |
| 4 070× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 29 | 21 |
| 2 | 185 | 21 |
| 3 | 1836 | 21 |
| 0 | 8391 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 9 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (neg.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 9 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 9 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 9 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 9 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 3 binary64)))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) (*.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) (+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
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(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (*.f64 (cos.f64 y) z)) |
(fma.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(fma.f64 (*.f64 (*.f64 (sin.f64 y) x) x) (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 (*.f64 (sin.f64 y) x) (/.f64 (*.f64 (sin.f64 y) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (sin.f64 y) (/.f64 (*.f64 (*.f64 (sin.f64 y) x) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))) (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(-.f64 (*.f64 (sin.f64 y) x) (*.f64 (neg.f64 z) (cos.f64 y))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (sin.f64 y)))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 x))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64))) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 y) x))) |
(sin.f64 y) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (cos.f64 y)))) |
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (cos.f64 y))) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (neg.f64 z) (cos.f64 y))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (cos.f64 y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z))) |
(cos.f64 y) |
Compiled 8 420 to 573 computations (93.2% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 266 | 16 | 282 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 267 | 16 | 283 |
| Status | Accuracy | Program |
|---|---|---|
| 43.2% | (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) | |
| 59.6% | (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) | |
| ▶ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| 59.6% | (fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) | |
| ▶ | 49.3% | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
| 18.5% | (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))))) | |
| ▶ | 34.3% | (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
| 99.6% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) | |
| 72.3% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| 28.8% | (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)))) | |
| 49.5% | (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) | |
| 47.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| 47.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) | |
| ▶ | 48.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| ▶ | 36.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
| 65.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
Compiled 738 to 414 computations (43.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (cos.f64 y) z) | |
| cost-diff | 0 | (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) | |
| cost-diff | 0 | (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) | |
| cost-diff | 40320 | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) x) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) | |
| cost-diff | 0 | (fma.f64 y x z) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 (cos.f64 y) z) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| 8 314× | lower-fma.f32 |
| 8 306× | lower-fma.f64 |
| 4 050× | lower-*.f32 |
| 4 046× | lower-*.f64 |
| 1 828× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 279 |
| 0 | 56 | 258 |
| 1 | 94 | 258 |
| 2 | 188 | 258 |
| 3 | 494 | 258 |
| 4 | 1087 | 258 |
| 5 | 3363 | 258 |
| 6 | 6841 | 258 |
| 0 | 8036 | 258 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(sin.f64 y) |
y |
x |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(fma.f64 y x z) |
y |
x |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(neg.f64 z) |
z |
(cos.f64 y) |
y |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
#s(literal -1 binary64) |
(pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) z) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
#s(literal 3 binary64) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
(fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) |
(-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(sin.f64 y) |
y |
x |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z)) |
(fma.f64 y x z) |
(fma.f64 x y z) |
y |
x |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
y |
x |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) |
(neg.f64 z) |
z |
(cos.f64 y) |
y |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
x |
#s(literal -1 binary64) |
(pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) |
(+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) |
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
y |
z |
#s(literal 3 binary64) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) |
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
x |
(fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) |
(-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1715812988422101 | (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) | |
| accuracy | 0.19435502930532603 | (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) | |
| accuracy | 2.2460834291510294 | (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) | |
| accuracy | 40.83724648841192 | (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) | |
| accuracy | 0.19435502930532603 | (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) | |
| accuracy | 0.5295415503284467 | (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) | |
| accuracy | 4.246066915792676 | (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) | |
| accuracy | 31.350680082941853 | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.12109375 | (*.f64 (sin.f64 y) x) | |
| accuracy | 40.658745826375316 | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) | |
| accuracy | 0 | (fma.f64 y x z) | |
| accuracy | 32.80943764556767 | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.0546875 | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) | |
| accuracy | 0.10546875 | (*.f64 (cos.f64 y) z) |
| 489.0ms | 256× | 0 | valid |
Compiled 278 to 34 computations (87.8% saved)
ival-mult: 329.0ms (85.6% of total)ival-pow: 15.0ms (3.9% of total)ival-add: 9.0ms (2.3% of total)ival-cos: 8.0ms (2.1% of total)ival-div: 7.0ms (1.8% of total)ival-sin: 7.0ms (1.8% of total)ival-pow2: 5.0ms (1.3% of total)ival-sub: 2.0ms (0.5% of total)ival-neg: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (patch (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (patch (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (sin y))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ 1 (* x (sin y))) (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (patch (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (cos y))) (* x (sin y))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (patch (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (cos y))) (* x (sin y))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (patch (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (cos y))) (* x (sin y))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (patch (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (patch (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (patch (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) (taylor 0 z) (#s(alt (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (patch (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (- (* z (- (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* x (sin y)))) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) (taylor 0 z) (#s(alt (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (patch (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (pow (sin y) 3)) (taylor 0 z) (#s(alt (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (taylor 0 z) (#s(alt (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (taylor 0 z) (#s(alt (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (taylor 0 z) (#s(alt (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 3) (pow (cos y) 3)) (taylor 0 z) (#s(alt (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 3) (pow (cos y) 3)) (taylor 0 z) (#s(alt (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 3) (pow (cos y) 3)) (taylor 0 z) (#s(alt (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 3) (pow (cos y) 3)) (taylor 0 z) (#s(alt (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow (sin y) 2)) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2))) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin y) 3))))) (taylor -inf x) (#s(alt (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin y) 3))))) (taylor -inf x) (#s(alt (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow (sin y) 2)) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* (pow x 2) (pow (sin y) 2))) (taylor -inf x) (#s(alt (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4))))) (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 6) (pow (cos y) 6)) (* (pow x 6) (pow (sin y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))))) (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow (sin y) 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow (sin y) 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow (sin y) 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow (sin y) 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (pow (sin y) 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (pow (sin y) 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (pow (sin y) 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (pow (sin y) 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | x | @ | inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (neg z) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)) (pow (* (sin y) x) 2))) (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (pow (* (cos y) z) 3) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (pow (* (sin y) x) 2) (pow (* (sin y) x) 3)) |
| 16.0ms | y | @ | inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (neg z) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)) (pow (* (sin y) x) 2))) (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (pow (* (cos y) z) 3) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (pow (* (sin y) x) 2) (pow (* (sin y) x) 3)) |
| 9.0ms | z | @ | 0 | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (neg z) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)) (pow (* (sin y) x) 2))) (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (pow (* (cos y) z) 3) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (pow (* (sin y) x) 2) (pow (* (sin y) x) 3)) |
| 8.0ms | y | @ | 0 | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (neg z) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)) (pow (* (sin y) x) 2))) (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (pow (* (cos y) z) 3) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (pow (* (sin y) x) 2) (pow (* (sin y) x) 3)) |
| 7.0ms | y | @ | -inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (neg z) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)) (pow (* (sin y) x) 2))) (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (pow (* (cos y) z) 3) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (pow (* (sin y) x) 2) (pow (* (sin y) x) 3)) |
| 1× | egg-herbie |
| 10 338× | lower-fma.f64 |
| 10 338× | lower-fma.f32 |
| 7 536× | lower-*.f64 |
| 7 536× | lower-*.f32 |
| 3 024× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 750 | 7700 |
| 1 | 2590 | 7309 |
| 0 | 8406 | 6956 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x y) |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(/ 1 (* x (sin y))) |
(+ (/ 1 (* x (sin y))) (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))) |
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))) |
(* x (sin y)) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(+ (* x (sin y)) (* z (- (* z (- (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* x (sin y)))) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(* (pow x 3) (pow (sin y) 3)) |
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) |
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) |
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) |
(* (pow z 3) (pow (cos y) 3)) |
(* (pow z 3) (pow (cos y) 3)) |
(* (pow z 3) (pow (cos y) 3)) |
(* (pow z 3) (pow (cos y) 3)) |
(* (pow x 2) (pow (sin y) 2)) |
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2))) |
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2))) |
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2))) |
(/ 1 (* (pow x 2) (pow (sin y) 2))) |
(+ (/ 1 (* (pow x 2) (pow (sin y) 2))) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 4) (pow (sin y) 4)))) |
(+ (* (pow z 2) (- (/ (* (pow z 2) (pow (cos y) 4)) (* (pow x 6) (pow (sin y) 6))) (* -1 (/ (pow (cos y) 2) (* (pow x 4) (pow (sin y) 4)))))) (/ 1 (* (pow x 2) (pow (sin y) 2)))) |
(+ (* (pow z 2) (- (* (pow z 2) (- (/ (* (pow z 2) (pow (cos y) 6)) (* (pow x 8) (pow (sin y) 8))) (* -1 (/ (pow (cos y) 4) (* (pow x 6) (pow (sin y) 6)))))) (* -1 (/ (pow (cos y) 2) (* (pow x 4) (pow (sin y) 4)))))) (/ 1 (* (pow x 2) (pow (sin y) 2)))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
z |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(/ -1 (* z (cos y))) |
(/ (- (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z) |
(/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z) |
(/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (+ (/ 1 (cos y)) (+ (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))) z) |
(* -1 (* z (cos y))) |
(* z (+ (* -1 (cos y)) (/ (* x (sin y)) z))) |
(* z (+ (* -1 (cos y)) (/ (* x (sin y)) z))) |
(* z (+ (* -1 (cos y)) (/ (* x (sin y)) z))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (pow z 2)))) (* -1 (/ (* x (sin y)) z)))) |
(* z (- (+ (cos y) (* -1 (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (* (pow z 3) (cos y))))) (+ (* -1 (/ (* x (sin y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))))) |
(* (pow z 3) (pow (cos y) 3)) |
(* (pow z 3) (+ (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3)) (pow (cos y) 3))) |
(* (pow z 3) (+ (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3)) (pow (cos y) 3))) |
(* (pow z 3) (+ (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3)) (pow (cos y) 3))) |
(* (pow z 3) (pow (cos y) 3)) |
(* (pow z 3) (pow (cos y) 3)) |
(* (pow z 3) (pow (cos y) 3)) |
(* (pow z 3) (pow (cos y) 3)) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(/ -1 (* (pow z 2) (pow (cos y) 2))) |
(/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4)))) (/ 1 (pow (cos y) 2))) (pow z 2)) |
(/ (- (* -1 (/ (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 6)))) (+ (/ 1 (pow (cos y) 2)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4))))) (pow z 2)) |
(/ (- (* -1 (/ (* (pow x 6) (pow (sin y) 6)) (* (pow z 6) (pow (cos y) 8)))) (+ (/ 1 (pow (cos y) 2)) (+ (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4))) (/ (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 6)))))) (pow z 2)) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
z |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(/ -1 (* z (cos y))) |
(* -1 (/ (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(* -1 (* z (cos y))) |
(* -1 (* z (+ (cos y) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (cos y) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (cos y) (* -1 (/ (* x (sin y)) z))))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) (* -1 (* x (sin y)))) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (* z (cos y)))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y)))) z)) (* -1 (* x (sin y)))) z))))) |
(* (pow z 3) (pow (cos y) 3)) |
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3))) (* -1 (pow (cos y) 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3))) (* -1 (pow (cos y) 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3))) (* -1 (pow (cos y) 3))))) |
(* (pow z 3) (pow (cos y) 3)) |
(* (pow z 3) (pow (cos y) 3)) |
(* (pow z 3) (pow (cos y) 3)) |
(* (pow z 3) (pow (cos y) 3)) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(/ -1 (* (pow z 2) (pow (cos y) 2))) |
(/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4)))) (/ 1 (pow (cos y) 2))) (pow z 2)) |
(/ (- (* -1 (/ (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 6)))) (+ (/ 1 (pow (cos y) 2)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4))))) (pow z 2)) |
(/ (- (* -1 (/ (* (pow x 6) (pow (sin y) 6)) (* (pow z 6) (pow (cos y) 8)))) (+ (/ 1 (pow (cos y) 2)) (+ (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4))) (/ (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 6)))))) (pow z 2)) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
z |
(+ z (* x y)) |
(+ z (* y (- (* y (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x)))) |
(+ z (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) z)) (+ (* -1/2 x) (* 1/6 x))))) (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z))) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x)))) |
(/ -1 z) |
(- (* -1 (/ (* x y) (pow z 2))) (/ 1 z)) |
(- (* y (- (* -1 (* y (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)) |
(- (* y (- (* y (- (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3)))) z))))) (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)) |
(* -1 z) |
(+ (* -1 z) (* x y)) |
(+ (* -1 z) (* y (+ x (* 1/2 (* y z))))) |
(+ (* -1 z) (* y (+ x (* y (+ (* -1/6 (* x y)) (* 1/2 z)))))) |
z |
(+ z (* x y)) |
(+ z (* y (- (* y (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))) (* -1 x)))) |
(+ z (* y (- (* y (- (+ (* -3/2 z) (* y (- (/ (pow x 3) (pow z 2)) (+ (* -1 (/ (* x (- (* -3/2 z) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))) z)) (+ (* 1/6 x) (+ (* 1/2 x) (/ (* x (+ (* -1 (pow z 2)) (pow x 2))) (pow z 2)))))))) (+ (* -1 z) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))) (* -1 x)))) |
(pow z 3) |
(+ (* -3/2 (* (pow y 2) (pow z 3))) (pow z 3)) |
(+ (* (pow y 2) (+ (* -3/2 (pow z 3)) (* (pow x 3) y))) (pow z 3)) |
(+ (* (pow y 2) (+ (* -3/2 (pow z 3)) (* y (+ (* 7/8 (* y (pow z 3))) (pow x 3))))) (pow z 3)) |
(pow z 3) |
(+ (* -3/2 (* (pow y 2) (pow z 3))) (pow z 3)) |
(+ (* (pow y 2) (+ (* -3/2 (pow z 3)) (* 7/8 (* (pow y 2) (pow z 3))))) (pow z 3)) |
(+ (* (pow y 2) (+ (* -3/2 (pow z 3)) (* (pow y 2) (+ (* -61/240 (* (pow y 2) (pow z 3))) (* 7/8 (pow z 3)))))) (pow z 3)) |
(* -1 (pow z 2)) |
(- (* (pow y 2) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2)) |
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow x 2)) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2)) |
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow x 2)) (* (pow y 2) (- (* 2/45 (pow x 2)) (* -2/45 (pow z 2))))) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2)) |
(/ -1 (pow z 2)) |
(- (* -1 (* (pow y 2) (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))))) (/ 1 (pow z 2))) |
(- (* (pow y 2) (- (* (pow y 2) (- (* 1/3 (/ 1 (pow z 2))) (+ (* -1/3 (/ (pow x 2) (pow z 4))) (/ (* (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2))))) (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))))) (/ 1 (pow z 2))) |
(- (* (pow y 2) (- (* (pow y 2) (- (+ (* -1 (* (pow y 2) (+ (* -1 (/ (* (- (* 1/3 (/ 1 (pow z 2))) (+ (* -1/3 (/ (pow x 2) (pow z 4))) (/ (* (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2)))) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2))) (+ (* 2/45 (/ 1 (pow z 2))) (+ (* 2/45 (/ (pow x 2) (pow z 4))) (/ (* (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))) (- (* -1/3 (pow x 2)) (* 1/3 (pow z 2)))) (pow z 2))))))) (* 1/3 (/ 1 (pow z 2)))) (+ (* -1/3 (/ (pow x 2) (pow z 4))) (/ (* (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2))))) (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))))) (/ 1 (pow z 2))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2))) |
(* (pow x 3) (pow y 3)) |
(* (pow y 3) (+ (* -1/2 (* (pow x 3) (pow y 2))) (pow x 3))) |
(* (pow y 3) (+ (* (pow y 2) (+ (* -1/2 (pow x 3)) (* 13/120 (* (pow x 3) (pow y 2))))) (pow x 3))) |
(* (pow y 3) (+ (* (pow y 2) (+ (* -1/2 (pow x 3)) (* (pow y 2) (+ (* -41/3024 (* (pow x 3) (pow y 2))) (* 13/120 (pow x 3)))))) (pow x 3))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x y) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ 1 (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ 1 (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ 1 (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ 1 (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (pow (sin y) 2)))) |
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (pow (sin y) 2)))) |
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (pow (sin y) 2)))) |
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (pow (sin y) 2)))) |
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) |
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) |
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) |
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) |
(* (pow z 3) (pow (cos y) 3)) |
(* (pow z 3) (pow (cos y) 3)) |
(* (pow z 3) (pow (cos y) 3)) |
(* (pow z 3) (pow (cos y) 3)) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(/ 1 (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) |
(/ 1 (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) |
(/ 1 (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) |
(/ 1 (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 3) (pow (sin y) 3)) |
(* (pow x 3) (pow (sin y) 3)) |
(* (pow x 3) (pow (sin y) 3)) |
(* (pow x 3) (pow (sin y) 3)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ 1 (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ 1 (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ 1 (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ 1 (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (pow (sin y) 2)))) |
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (pow (sin y) 2)))) |
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (pow (sin y) 2)))) |
(/ (+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) (+ (* z (* (cos y) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (pow (sin y) 2)))) |
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) |
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) |
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) |
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) |
(* (pow z 3) (pow (cos y) 3)) |
(* (pow z 3) (pow (cos y) 3)) |
(* (pow z 3) (pow (cos y) 3)) |
(* (pow z 3) (pow (cos y) 3)) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(/ 1 (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) |
(/ 1 (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) |
(/ 1 (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) |
(/ 1 (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 3) (pow (sin y) 3)) |
(* (pow x 3) (pow (sin y) 3)) |
(* (pow x 3) (pow (sin y) 3)) |
(* (pow x 3) (pow (sin y) 3)) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(/ -1 (* z (cos y))) |
(- (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y)))) |
(- (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3)))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))) |
(- (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))) |
(* -1 (* z (cos y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y)))))) (* -1 (sin y)))) (* z (cos y))) |
(+ (* x (- (* x (- (* -1 (/ (* x (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y)))))) (* z (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y)))))) (* -1 (sin y)))) (* z (cos y))) |
(* (pow z 3) (pow (cos y) 3)) |
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) |
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) |
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(/ -1 (* (pow z 2) (pow (cos y) 2))) |
(- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 4) (pow (cos y) 4)))) (/ 1 (* (pow z 2) (pow (cos y) 2)))) |
(- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (pow (sin y) 4)) (* (pow z 6) (pow (cos y) 6)))) (/ (pow (sin y) 2) (* (pow z 4) (pow (cos y) 4))))) (/ 1 (* (pow z 2) (pow (cos y) 2)))) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (pow (sin y) 6)) (* (pow z 8) (pow (cos y) 8)))) (/ (pow (sin y) 4) (* (pow z 6) (pow (cos y) 6))))) (/ (pow (sin y) 2) (* (pow z 4) (pow (cos y) 4))))) (/ 1 (* (pow z 2) (pow (cos y) 2)))) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 3) (pow (sin y) 3)) |
(* (pow x 3) (pow (sin y) 3)) |
(* (pow x 3) (pow (sin y) 3)) |
(* (pow x 3) (pow (sin y) 3)) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x y) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(/ 1 (* x (sin y))) |
(/ (+ (/ 1 (sin y)) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2))))) x) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) x) |
(* x (sin y)) |
(* x (+ (sin y) (* -1 (/ (* z (cos y)) x)))) |
(* x (+ (sin y) (* -1 (/ (* z (cos y)) x)))) |
(* x (+ (sin y) (* -1 (/ (* z (cos y)) x)))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (pow x 2)))) (* -1 (/ (* z (cos y)) x)))) |
(* x (- (+ (sin y) (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (* (pow x 3) (sin y))))) (+ (* -1 (/ (* z (cos y)) x)) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y))))))) |
(* (pow x 3) (pow (sin y) 3)) |
(* (pow x 3) (+ (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3)) (pow (sin y) 3))) |
(* (pow x 3) (+ (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3)) (pow (sin y) 3))) |
(* (pow x 3) (+ (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3)) (pow (sin y) 3))) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(/ 1 (* (pow x 2) (pow (sin y) 2))) |
(/ (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (pow x 2)) |
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4))))) (pow x 2)) |
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 6) (pow (cos y) 6)) (* (pow x 6) (pow (sin y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))))) (pow x 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 3) (pow (sin y) 3)) |
(* (pow x 3) (pow (sin y) 3)) |
(* (pow x 3) (pow (sin y) 3)) |
(* (pow x 3) (pow (sin y) 3)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(/ 1 (* x (sin y))) |
(* -1 (/ (- (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x)))) |
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x)))) |
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x)))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (* -1 (* z (cos y)))) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (* x (sin y)))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) (* -1 (* z (cos y)))) x))))) |
(* (pow x 3) (pow (sin y) 3)) |
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin y) 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin y) 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin y) 3))))) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(/ 1 (* (pow x 2) (pow (sin y) 2))) |
(/ (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (pow x 2)) |
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4))))) (pow x 2)) |
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 6) (pow (cos y) 6)) (* (pow x 6) (pow (sin y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))))) (pow x 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 3) (pow (sin y) 3)) |
(* (pow x 3) (pow (sin y) 3)) |
(* (pow x 3) (pow (sin y) 3)) |
(* (pow x 3) (pow (sin y) 3)) |
| Outputs |
|---|
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x y) |
(*.f64 y x) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(+ (/ 1 (* x (sin y))) (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) |
(fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))) |
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (cos.f64 y) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) z (/.f64 (cos.f64 y) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) z (cos.f64 y)) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (- (* z (- (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* x (sin y)))) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) x) (/.f64 z (sin.f64 y)) #s(literal 0 binary64))) z (cos.f64 y)) z (*.f64 (sin.f64 y) x)) |
(* (pow x 3) (pow (sin y) 3)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(+ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3))) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(* (pow z 3) (pow (cos y) 3)) |
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) |
(* (pow z 3) (pow (cos y) 3)) |
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) |
(* (pow z 3) (pow (cos y) 3)) |
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) |
(* (pow z 3) (pow (cos y) 3)) |
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(/ 1 (* (pow x 2) (pow (sin y) 2))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(+ (/ 1 (* (pow x 2) (pow (sin y) 2))) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 4) (pow (sin y) 4)))) |
(fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(+ (* (pow z 2) (- (/ (* (pow z 2) (pow (cos y) 4)) (* (pow x 6) (pow (sin y) 6))) (* -1 (/ (pow (cos y) 2) (* (pow x 4) (pow (sin y) 4)))))) (/ 1 (* (pow x 2) (pow (sin y) 2)))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 z z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(+ (* (pow z 2) (- (* (pow z 2) (- (/ (* (pow z 2) (pow (cos y) 6)) (* (pow x 8) (pow (sin y) 8))) (* -1 (/ (pow (cos y) 4) (* (pow x 6) (pow (sin y) 6)))))) (* -1 (/ (pow (cos y) 2) (* (pow x 4) (pow (sin y) 4)))))) (/ 1 (* (pow x 2) (pow (sin y) 2)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 x #s(literal 8 binary64))) (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 8 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (*.f64 z z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 z z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
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(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) |
(* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (pow x 2)))) (* -1 (/ (* z (cos y)) x)))) |
(*.f64 (+.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) x) |
(* x (- (+ (sin y) (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (* (pow x 3) (sin y))))) (+ (* -1 (/ (* z (cos y)) x)) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y))))))) |
(*.f64 (fma.f64 (neg.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (sin.f64 y)) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) x) |
(* (pow x 3) (pow (sin y) 3)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3)) (pow (sin y) 3))) |
(*.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3)) (pow (sin y) 3))) |
(*.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3)) (pow (sin y) 3))) |
(*.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(/ 1 (* (pow x 2) (pow (sin y) 2))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(/ (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 x x)) |
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (*.f64 x x)) |
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 6) (pow (cos y) 6)) (* (pow x 6) (pow (sin y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))))) (pow x 2)) |
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sin.f64 y) #s(literal 8 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 z z) x)) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))))) (*.f64 x x)) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 3) (pow (sin y) 3)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow (sin y) 3)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow (sin y) 3)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow (sin y) 3)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) |
(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(* -1 (/ (- (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64))) x) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 (cos.f64 y) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) x) #s(literal -1 binary64) (/.f64 (*.f64 (cos.f64 y) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (cos.f64 y) x) (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (cos.f64 y) x) (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (cos.f64 y) x) (sin.f64 y)) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (* -1 (* z (cos y)))) x))))) |
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (* x (sin y)))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) (* -1 (* z (cos y)))) x))))) |
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) x) (/.f64 z (sin.f64 y)) #s(literal 0 binary64))) (neg.f64 x)) (*.f64 (cos.f64 y) z)) x))) |
(* (pow x 3) (pow (sin y) 3)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin y) 3))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin y) 3))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3))) (* -1 (pow (sin y) 3))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(/ 1 (* (pow x 2) (pow (sin y) 2))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(/ (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 x x)) |
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (*.f64 x x)) |
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 6) (pow (cos y) 6)) (* (pow x 6) (pow (sin y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))))) (pow x 2)) |
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sin.f64 y) #s(literal 8 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 z z) x)) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))))) (*.f64 x x)) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 3) (pow (sin y) 3)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow (sin y) 3)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow (sin y) 3)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow (sin y) 3)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
| 7 464× | lower-fma.f32 |
| 7 456× | lower-fma.f64 |
| 4 506× | lower-/.f32 |
| 4 502× | lower-/.f64 |
| 4 304× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 194 |
| 0 | 56 | 147 |
| 1 | 238 | 147 |
| 2 | 1617 | 147 |
| 0 | 8629 | 147 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(sin.f64 y) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(fma.f64 y x z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) x) |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(neg.f64 z) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) |
(pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64)))) (/.f64 (pow.f64 (fma.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64))) (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64))) (pow.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) #s(literal -1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) (/.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) (/.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (neg.f64 x) (sin.f64 y))) (fma.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (neg.f64 x) (sin.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (neg.f64 x) (sin.f64 y))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (neg.f64 x) (sin.f64 y))) (pow.f64 (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 3 binary64))))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (/.f64 (neg.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (fma.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64))) (-.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))) (/.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y))) #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y)))) (pow.f64 (*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 9 binary64))) (-.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))) (/.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
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(-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 2 binary64))))) |
(-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) |
(+.f64 (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) |
(pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)))) |
(/.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) |
(exp.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))))) |
(exp.f64 (fma.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (*.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x (sin.f64 y)) x) #s(literal 1 binary64)) (sin.f64 y)) |
(*.f64 (pow.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y)) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) x) (sin.f64 y)) |
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y)) x) |
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 x) (sin.f64 y))) |
(*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x (sin.f64 y)) (*.f64 x (sin.f64 y))) |
(*.f64 x (pow.f64 (*.f64 (sin.f64 y) (*.f64 x (sin.f64 y))) #s(literal 1 binary64))) |
(*.f64 x (*.f64 (sin.f64 y) (*.f64 x (sin.f64 y)))) |
(*.f64 (sin.f64 y) (pow.f64 (*.f64 x (*.f64 x (sin.f64 y))) #s(literal 1 binary64))) |
(*.f64 (sin.f64 y) (*.f64 x (*.f64 x (sin.f64 y)))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 x (sin.f64 y)))) |
(pow.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x (sin.f64 y)) x) #s(literal 3/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 3 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) |
(*.f64 (*.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (sin.f64 y)) x) |
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 x (sin.f64 y))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (*.f64 x (sin.f64 y))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 x (sin.f64 y)))) |
(*.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x (sin.f64 y))) |
(*.f64 (*.f64 x (sin.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) |
(*.f64 x (*.f64 (sin.f64 y) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(*.f64 (sin.f64 y) (*.f64 x (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (*.f64 x (sin.f64 y)))) |
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) |
(exp.f64 (fma.f64 (log.f64 (*.f64 x (sin.f64 y))) #s(literal 3/2 binary64) (*.f64 (log.f64 (*.f64 x (sin.f64 y))) #s(literal 3/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (*.f64 (log.f64 (sin.f64 y)) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (sin.f64 y)) #s(literal 3 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) |
Compiled 76 072 to 3 684 computations (95.2% saved)
27 alts after pruning (24 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 017 | 20 | 2 037 |
| Fresh | 7 | 4 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 026 | 27 | 2 053 |
| Status | Accuracy | Program |
|---|---|---|
| 59.6% | (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) | |
| 48.5% | (fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) | |
| 71.0% | (fma.f64 (sin.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64))) z)) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| 72.3% | (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| 59.6% | (fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) | |
| 16.9% | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) #s(literal -1 binary64))) | |
| ▶ | 31.9% | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
| 15.2% | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) | |
| 31.8% | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)))) | |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
| 49.5% | (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) | |
| 46.6% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) | |
| ▶ | 83.2% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) |
| 93.2% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) | |
| 65.5% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (cos.f64 y) z)) | |
| 47.6% | #s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)) (pow (* (sin y) x) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) | |
| ▶ | 47.8% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
| ✓ | 48.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 19.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) | |
| 48.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) | |
| ✓ | 36.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
| 47.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z))) | |
| 40.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) | |
| ▶ | 13.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
| 13.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) | |
| 13.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
Compiled 788 to 582 computations (26.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) | |
| cost-diff | 320 | (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) | |
| cost-diff | 12928 | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64))) | |
| cost-diff | 0 | (/.f64 (cos.f64 y) x) | |
| cost-diff | 0 | (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) | |
| cost-diff | 704 | (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) | |
| cost-diff | 0 | #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (* y x) z) (*.f64 y x)) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) | |
| cost-diff | 7168 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
| 5 180× | lower-fma.f32 |
| 5 168× | lower-fma.f64 |
| 3 300× | lower-*.f32 |
| 3 288× | lower-*.f64 |
| 3 056× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 348 |
| 0 | 86 | 352 |
| 1 | 128 | 332 |
| 2 | 224 | 328 |
| 3 | 492 | 324 |
| 4 | 1155 | 307 |
| 5 | 3086 | 307 |
| 6 | 7098 | 307 |
| 0 | 8263 | 305 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(cos.f64 y) |
y |
z |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
#s(literal -1 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (+ (* y x) z) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) |
#s(literal -1/6 binary64) |
(*.f64 y x) |
y |
x |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) |
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) |
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) |
z |
(/.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
(sin.f64 y) |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(neg.f64 z) |
z |
(cos.f64 y) |
y |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
#s(literal -1 binary64) |
(pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
#s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(*.f64 (neg.f64 z) z) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(cos.f64 y) |
y |
z |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
x |
#s(literal -1 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* y x) z) (*.f64 y x)) |
#s(approx (+ (* y x) z) (*.f64 x y)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) |
#s(literal -1/6 binary64) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
z |
(/.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
(sin.f64 y) |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(/.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) |
(neg.f64 z) |
z |
(cos.f64 y) |
y |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
x |
#s(literal -1 binary64) |
(pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
#s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
#s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) |
(*.f64 (neg.f64 z) z) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.24675751953688405 | (pow.f64 (cos.f64 y) #s(literal 2 binary64)) | |
| accuracy | 0.5295415503284467 | (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64)) | |
| accuracy | 20.49491177734255 | #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) | |
| accuracy | 31.350680082941853 | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64))) | |
| accuracy | 0 | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) | |
| accuracy | 0.109375 | (/.f64 (cos.f64 y) x) | |
| accuracy | 0.1328125 | (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) | |
| accuracy | 10.650909952154212 | (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) | |
| accuracy | 0.0546875 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) | |
| accuracy | 0.0625 | (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) | |
| accuracy | 0.12625753162065376 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) | |
| accuracy | 33.3987048521856 | #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 32.80943764556767 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) | |
| accuracy | 33.510496032407566 | #s(approx (+ (* y x) z) (*.f64 y x)) | |
| accuracy | 0.07421875 | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) | |
| accuracy | 0.12109375 | (*.f64 (sin.f64 y) x) | |
| accuracy | 0.1640625 | (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) | |
| accuracy | 0.23046875 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
| 196.0ms | 256× | 0 | valid |
Compiled 295 to 46 computations (84.4% saved)
ival-sin: 85.0ms (51.3% of total)ival-mult: 22.0ms (13.3% of total)ival-pow2: 18.0ms (10.9% of total)ival-pow: 12.0ms (7.2% of total)ival-add: 10.0ms (6% of total)ival-cos: 7.0ms (4.2% of total)ival-div: 5.0ms (3% of total)const: 4.0ms (2.4% of total)ival-sub: 1.0ms (0.6% of total)exact: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* y x) z) (*.f64 y x)) (patch #s(approx (+ (* y x) z) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) (patch #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) (patch (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) (patch (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (cos.f64 y) x) (patch (/.f64 (cos.f64 y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (patch (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (patch (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (patch #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64)) (patch (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (sin y))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 y x)) (patch #s(approx (+ (* y x) z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 y x)) (patch #s(approx (+ (* y x) z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 y x)) (patch #s(approx (+ (* y x) z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 y x)) (patch #s(approx (+ (* y x) z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) (patch #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) (patch #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) (patch #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) (patch #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1/6 (* x (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (* x y)) (taylor 0 z) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 z) (* -1/6 (* x y))) (taylor 0 z) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 z) (* -1/6 (* x y))) (taylor 0 z) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 z) (* -1/6 (* x y))) (taylor 0 z) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) (patch (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) (patch (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) (patch (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) (patch (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor 0 z) (#s(alt (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) (patch (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | x | @ | -inf | ((/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (+ (* (sin y) x) (* (cos y) z)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (* (+ (* z (/ (cos y) x)) (sin y)) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* z (/ (cos y) x)) (sin y)) (/ (cos y) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (* (* (neg z) z) (pow (cos y) 2)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (* (sin y) x) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (pow (cos y) 2)) |
| 20.0ms | z | @ | inf | ((/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (+ (* (sin y) x) (* (cos y) z)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (* (+ (* z (/ (cos y) x)) (sin y)) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* z (/ (cos y) x)) (sin y)) (/ (cos y) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (* (* (neg z) z) (pow (cos y) 2)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (* (sin y) x) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (pow (cos y) 2)) |
| 6.0ms | y | @ | -inf | ((/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (+ (* (sin y) x) (* (cos y) z)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (* (+ (* z (/ (cos y) x)) (sin y)) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* z (/ (cos y) x)) (sin y)) (/ (cos y) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (* (* (neg z) z) (pow (cos y) 2)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (* (sin y) x) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (pow (cos y) 2)) |
| 5.0ms | y | @ | inf | ((/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (+ (* (sin y) x) (* (cos y) z)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (* (+ (* z (/ (cos y) x)) (sin y)) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* z (/ (cos y) x)) (sin y)) (/ (cos y) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (* (* (neg z) z) (pow (cos y) 2)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (* (sin y) x) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (pow (cos y) 2)) |
| 4.0ms | x | @ | inf | ((/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (+ (* (sin y) x) (* (cos y) z)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (* (+ (* z (/ (cos y) x)) (sin y)) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* z (/ (cos y) x)) (sin y)) (/ (cos y) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (* (* (neg z) z) (pow (cos y) 2)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (* (sin y) x) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (pow (cos y) 2)) |
| 1× | egg-herbie |
| 9 196× | lower-fma.f64 |
| 9 196× | lower-fma.f32 |
| 7 296× | lower-*.f64 |
| 7 296× | lower-*.f32 |
| 3 064× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 769 | 9601 |
| 1 | 2517 | 9335 |
| 0 | 8478 | 8798 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(/ 1 (* x (sin y))) |
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x y) |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))) |
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))) |
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))) |
(* -1/6 (* x y)) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(sin y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(/ 1 (* x (sin y))) |
(+ (/ 1 (* x (sin y))) (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))) |
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))) |
(* x (sin y)) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(* (pow x 2) (pow (sin y) 2)) |
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2))) |
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2))) |
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2))) |
(/ 1 (* (pow x 2) (pow (sin y) 2))) |
(+ (/ 1 (* (pow x 2) (pow (sin y) 2))) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 4) (pow (sin y) 4)))) |
(+ (* (pow z 2) (- (/ (* (pow z 2) (pow (cos y) 4)) (* (pow x 6) (pow (sin y) 6))) (* -1 (/ (pow (cos y) 2) (* (pow x 4) (pow (sin y) 4)))))) (/ 1 (* (pow x 2) (pow (sin y) 2)))) |
(+ (* (pow z 2) (- (* (pow z 2) (- (/ (* (pow z 2) (pow (cos y) 6)) (* (pow x 8) (pow (sin y) 8))) (* -1 (/ (pow (cos y) 4) (* (pow x 6) (pow (sin y) 6)))))) (* -1 (/ (pow (cos y) 2) (* (pow x 4) (pow (sin y) 4)))))) (/ 1 (* (pow x 2) (pow (sin y) 2)))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(/ 1 (* z (cos y))) |
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z) |
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
z |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))) |
(* -1/2 (* y z)) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))) |
(* -1/2 z) |
(* z (- (* -1/6 (/ (* x y) z)) 1/2)) |
(* z (- (* -1/6 (/ (* x y) z)) 1/2)) |
(* z (- (* -1/6 (/ (* x y) z)) 1/2)) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(/ (* z (cos y)) x) |
(* z (+ (/ (cos y) x) (/ (sin y) z))) |
(* z (+ (/ (cos y) x) (/ (sin y) z))) |
(* z (+ (/ (cos y) x) (/ (sin y) z))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(/ -1 (* z (cos y))) |
(/ (- (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z) |
(/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z) |
(/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (+ (/ 1 (cos y)) (+ (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))) z) |
(* -1 (* z (cos y))) |
(* z (+ (* -1 (cos y)) (/ (* x (sin y)) z))) |
(* z (+ (* -1 (cos y)) (/ (* x (sin y)) z))) |
(* z (+ (* -1 (cos y)) (/ (* x (sin y)) z))) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(/ -1 (* (pow z 2) (pow (cos y) 2))) |
(/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4)))) (/ 1 (pow (cos y) 2))) (pow z 2)) |
(/ (- (* -1 (/ (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 6)))) (+ (/ 1 (pow (cos y) 2)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4))))) (pow z 2)) |
(/ (- (* -1 (/ (* (pow x 6) (pow (sin y) 6)) (* (pow z 6) (pow (cos y) 8)))) (+ (/ 1 (pow (cos y) 2)) (+ (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4))) (/ (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 6)))))) (pow z 2)) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(/ 1 (* z (cos y))) |
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
z |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1/2 (* y z)) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y)))) |
(* -1/2 z) |
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z))))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z))))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(/ (* z (cos y)) x) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(/ -1 (* z (cos y))) |
(* -1 (/ (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(* -1 (* z (cos y))) |
(* -1 (* z (+ (cos y) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (cos y) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (cos y) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(/ -1 (* (pow z 2) (pow (cos y) 2))) |
(/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4)))) (/ 1 (pow (cos y) 2))) (pow z 2)) |
(/ (- (* -1 (/ (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 6)))) (+ (/ 1 (pow (cos y) 2)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4))))) (pow z 2)) |
(/ (- (* -1 (/ (* (pow x 6) (pow (sin y) 6)) (* (pow z 6) (pow (cos y) 8)))) (+ (/ 1 (pow (cos y) 2)) (+ (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4))) (/ (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 6)))))) (pow z 2)) |
z |
(+ z (* x y)) |
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(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (pow (sin y) 6)) (* (pow z 8) (pow (cos y) 8)))) (/ (pow (sin y) 4) (* (pow z 6) (pow (cos y) 6))))) (/ (pow (sin y) 2) (* (pow z 4) (pow (cos y) 4))))) (/ 1 (* (pow z 2) (pow (cos y) 2)))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(/ 1 (* x (sin y))) |
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x y) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (* y (+ 1 (* -1/6 (pow y 2))))) |
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x)))) |
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x)))) |
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))) |
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))) |
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))) |
(* -1/6 (* x y)) |
(* x (+ (* -1/2 (/ z x)) (* -1/6 y))) |
(* x (+ (* -1/2 (/ z x)) (* -1/6 y))) |
(* x (+ (* -1/2 (/ z x)) (* -1/6 y))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(sin y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(/ 1 (* x (sin y))) |
(/ (+ (/ 1 (sin y)) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2))))) x) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) x) |
(* x (sin y)) |
(* x (+ (sin y) (* -1 (/ (* z (cos y)) x)))) |
(* x (+ (sin y) (* -1 (/ (* z (cos y)) x)))) |
(* x (+ (sin y) (* -1 (/ (* z (cos y)) x)))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(/ 1 (* (pow x 2) (pow (sin y) 2))) |
(/ (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (pow x 2)) |
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4))))) (pow x 2)) |
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 6) (pow (cos y) 6)) (* (pow x 6) (pow (sin y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))))) (pow x 2)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(/ 1 (* x (sin y))) |
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1))) |
(* -1/6 (* x y)) |
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x))))) |
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x))))) |
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(sin y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(/ 1 (* x (sin y))) |
(* -1 (/ (- (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x)))) |
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x)))) |
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x)))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(/ 1 (* (pow x 2) (pow (sin y) 2))) |
(/ (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (pow x 2)) |
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4))))) (pow x 2)) |
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 6) (pow (cos y) 6)) (* (pow x 6) (pow (sin y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))))) (pow x 2)) |
| Outputs |
|---|
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) (*.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (cos.f64 y) x) x))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) |
(fma.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 (/.f64 (cos.f64 y) x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) z (/.f64 (/.f64 (neg.f64 (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x))) z (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x y) |
(*.f64 y x) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x) |
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x) |
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x) |
(* -1/6 (* x y)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y x)) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(sin y) |
(sin.f64 y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(neg.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(neg.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(neg.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(neg.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) |
(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(+ (/ 1 (* x (sin y))) (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) |
(fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (cos.f64 y) x) x) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))) |
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (/.f64 (cos.f64 y) x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) z (/.f64 (/.f64 (/.f64 (cos.f64 y) x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
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(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(* -1 (/ (- (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64))) x) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 (cos.f64 y) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) x) #s(literal -1 binary64) (*.f64 (cos.f64 y) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x)))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (neg.f64 (sin.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x)))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (neg.f64 (sin.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x)))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (neg.f64 (sin.f64 y))) (neg.f64 x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(*.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 z (/.f64 z x)))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(*.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 z (/.f64 z x)))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(*.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 z (/.f64 z x)))) (*.f64 x x)) |
(/ 1 (* (pow x 2) (pow (sin y) 2))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(/ (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 x x)) |
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (*.f64 x x)) |
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 6) (pow (cos y) 6)) (* (pow x 6) (pow (sin y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))))) (pow x 2)) |
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sin.f64 y) #s(literal 8 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 z (/.f64 z x))) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))))) (*.f64 x x)) |
| 7 540× | lower-fma.f32 |
| 7 528× | lower-fma.f64 |
| 4 420× | lower-*.f32 |
| 4 408× | lower-*.f64 |
| 3 472× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 302 |
| 0 | 86 | 300 |
| 1 | 314 | 265 |
| 2 | 1949 | 265 |
| 0 | 8763 | 263 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (+ (* y x) z) (*.f64 y x)) |
(*.f64 y x) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) |
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) |
(/.f64 (cos.f64 y) x) |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) x) |
#s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64))) (pow.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) #s(literal -1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (/.f64 (neg.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y))) (+.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y))) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
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(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y)) #s(literal 2 binary64)))) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y)) #s(literal 2 binary64)))) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y))))) |
(-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(exp.f64 (log.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(+.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y))) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (sin.f64 y)))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 x))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y)))) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)) |
(exp.f64 (log.f64 (*.f64 x (sin.f64 y)))) |
(*.f64 (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) |
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) |
(/.f64 (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))))) |
(pow.f64 (/.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) |
(exp.f64 (neg.f64 (log.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))))) |
(exp.f64 (fma.f64 (log.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) #s(literal -1/2 binary64) (*.f64 (log.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(*.f64 (cos.f64 y) (cos.f64 y)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cos.f64 y))) |
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y)))) #s(literal -2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y))) #s(literal 2 binary64)) |
(exp.f64 (+.f64 (log.f64 (cos.f64 y)) (log.f64 (cos.f64 y)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
Compiled 45 077 to 3 835 computations (91.5% saved)
37 alts after pruning (33 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 610 | 21 | 1 631 |
| Fresh | 7 | 12 | 19 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 621 | 37 | 1 658 |
| Status | Accuracy | Program |
|---|---|---|
| 59.6% | (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) | |
| 48.5% | (fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| 72.3% | (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| 51.1% | (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) | |
| 16.9% | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) #s(literal -1 binary64))) | |
| 33.7% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) | |
| 32.0% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)))) | |
| 36.3% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))) | |
| 65.4% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) | |
| 38.8% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z))) | |
| 49.5% | (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) | |
| 60.3% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y)))) | |
| 83.2% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 z (pow.f64 (cos.f64 y) #s(literal -1 binary64))) (sin.f64 y)) x)) | |
| 83.2% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (*.f64 z (cos.f64 y)) (pow.f64 x #s(literal -1 binary64)) (sin.f64 y)) x)) | |
| 83.3% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x)) | |
| ▶ | 59.2% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) x)) |
| 83.2% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y))) (sin.f64 y)) x)) | |
| ▶ | 93.2% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
| 65.5% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (cos.f64 y) z)) | |
| ▶ | 49.0% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x)) |
| 30.9% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 z x)) x)) | |
| 47.6% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* z (/ (cos y) x)) (sin y)) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))) | |
| 47.8% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) x (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| 48.1% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x) y z)) | |
| 24.4% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) y) y)) y z)) | |
| 36.8% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) | |
| ▶ | 36.8% | #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
| ▶ | 13.8% | #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) |
| ✓ | 48.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 19.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) | |
| 48.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) | |
| ✓ | 36.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
| 47.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z))) | |
| ✓ | 13.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
| 13.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) | |
| 13.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
Compiled 917 to 736 computations (19.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) x)) | |
| cost-diff | 704 | (*.f64 (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) x) | |
| cost-diff | 7104 | (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (cos.f64 y) z) x) | |
| cost-diff | 0 | #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x) | |
| cost-diff | 0 | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) | |
| cost-diff | 0 | #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) z) | |
| cost-diff | 0 | (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) | |
| cost-diff | 0 | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) | |
| cost-diff | 704 | (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
| 11 110× | lower-fma.f32 |
| 11 102× | lower-fma.f64 |
| 4 128× | lower-*.f32 |
| 4 112× | lower-*.f64 |
| 1 252× | lower-neg.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 434 |
| 0 | 90 | 425 |
| 1 | 157 | 413 |
| 2 | 322 | 407 |
| 3 | 961 | 395 |
| 4 | 2318 | 349 |
| 5 | 5257 | 349 |
| 0 | 8179 | 325 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
x |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
(cos.f64 y) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
z |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 y y) |
#s(literal -1 binary64) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x)) |
(*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x) |
#s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) |
(/.f64 (*.f64 (cos.f64 y) z) x) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
x |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) x)) |
(*.f64 (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) x) |
(fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) |
z |
(/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) |
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) |
(sqrt.f64 (cos.f64 y)) |
(cos.f64 y) |
y |
#s(literal 2 binary64) |
x |
(sin.f64 y) |
| Outputs |
|---|
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) |
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
x |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
(cos.f64 y) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
z |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x))) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x)) |
(*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 y y) |
#s(literal -1 binary64) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z)) x)) |
(*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x) |
(*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z)) x) |
#s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) |
#s(approx (+ (* z (/ (cos y) x)) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z)) |
(/.f64 (*.f64 (cos.f64 y) z) x) |
(*.f64 (/.f64 (cos.f64 y) x) z) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
x |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) |
(*.f64 (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) x) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
z |
(/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) |
(/.f64 (cos.f64 y) x) |
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) |
(cos.f64 y) |
(sqrt.f64 (cos.f64 y)) |
(cos.f64 y) |
y |
#s(literal 2 binary64) |
x |
(sin.f64 y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.04296875 | (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) | |
| accuracy | 0.11328125 | (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) | |
| accuracy | 0.139003759768442 | (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) | |
| accuracy | 7.5443060356653 | (*.f64 (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) x) | |
| accuracy | 0.046875 | (/.f64 (*.f64 (cos.f64 y) z) x) | |
| accuracy | 0.046875 | (*.f64 (cos.f64 y) z) | |
| accuracy | 7.5443060356653 | (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x) | |
| accuracy | 13.520707674369188 | #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) | |
| accuracy | 0.0546875 | (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) | |
| accuracy | 0.49515950237628553 | (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) | |
| accuracy | 15.754839414040857 | #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) | |
| accuracy | 26.199406439809827 | #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 1.431442925632724 | (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) | |
| accuracy | 15.754839414040857 | #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) | |
| accuracy | 15.960321504364304 | #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) | |
| accuracy | 0 | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) | |
| accuracy | 0.04296875 | (/.f64 (sin.f64 y) z) | |
| accuracy | 0.0546875 | (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) | |
| accuracy | 1.5105754696373503 | (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
| 128.0ms | 182× | 0 | valid |
| 37.0ms | 74× | 0 | invalid |
Compiled 308 to 57 computations (81.5% saved)
ival-mult: 30.0ms (26.2% of total)const: 25.0ms (21.8% of total)ival-add: 11.0ms (9.6% of total)ival-pow2: 10.0ms (8.7% of total)ival-pow: 10.0ms (8.7% of total)ival-div: 8.0ms (7% of total)ival-sin: 7.0ms (6.1% of total)ival-cos: 7.0ms (6.1% of total)ival-neg: 3.0ms (2.6% of total)ival-sqrt: 2.0ms (1.7% 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 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) (patch (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) (patch (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 y) z) (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) (patch #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) (patch #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) (patch #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (patch #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x) (patch (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) (patch #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (cos.f64 y) z) x) (patch (/.f64 (*.f64 (cos.f64 y) z) x) #<representation binary64>) () ()) |
#s(alt (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) (patch (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) x) (patch (*.f64 (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) (patch (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (patch (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (patch (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) (patch (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) (patch (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) (patch (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) (patch (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) z) (taylor 0 z) (#s(alt (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) (patch (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (sin y)) (* z (cos y))) z) (taylor 0 z) (#s(alt (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) (patch (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (sin y)) (* z (cos y))) z) (taylor 0 z) (#s(alt (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) (patch (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (sin y)) (* z (cos y))) z) (taylor 0 z) (#s(alt (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) (patch (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) z) (taylor 0 z) (#s(alt (/.f64 (sin.f64 y) z) (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) z) (taylor 0 z) (#s(alt (/.f64 (sin.f64 y) z) (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) z) (taylor 0 z) (#s(alt (/.f64 (sin.f64 y) z) (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) z) (taylor 0 z) (#s(alt (/.f64 (sin.f64 y) z) (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) (patch #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) (patch #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) (patch #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) (patch #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1/6 (* x (pow y 2))))) (taylor 0 z) (#s(alt #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) (patch #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) (patch #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) (patch #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) (patch #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (* -1/2 (pow y 2)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (* -1/2 (pow y 2)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (* -1/2 (pow y 2)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (* -1/2 (pow y 2)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) (patch (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) (patch #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) (patch #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) (patch #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) (patch #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (sin y) (/ (* z (cos y)) x)) (taylor -inf x) (#s(alt (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) (patch (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (patch (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (patch (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (patch (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (patch (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos y) x) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (patch (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos y) x) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (patch (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos y) x) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (patch (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos y) x) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (patch (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | x | @ | -inf | ((* (+ (* x (/ (sin y) z)) (cos y)) z) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* x (/ (sin y) z)) (cos y)) (/ (sin y) z) (+ (* (sin y) x) (* (cos y) z)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (* (+ (* -1/2 (* y y)) 1) z) (+ (* -1/2 (* y y)) 1) (+ (* (sin y) x) (* (cos y) z)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (* (neg y) x) (neg y) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (* (+ (* z (/ (cos y) x)) (sin y)) x) (+ (* z (/ (cos y) x)) (sin y)) (/ (* (cos y) z) x) (pow (sqrt (cos y)) 2) (* (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (* y y) (* (* (neg y) x) (+ (* 1/6 (* y y)) -1)) (+ (* 1/6 (* y y)) -1) (* (cos y) z) (/ (pow (sqrt (cos y)) 2) x)) |
| 6.0ms | z | @ | inf | ((* (+ (* x (/ (sin y) z)) (cos y)) z) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* x (/ (sin y) z)) (cos y)) (/ (sin y) z) (+ (* (sin y) x) (* (cos y) z)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (* (+ (* -1/2 (* y y)) 1) z) (+ (* -1/2 (* y y)) 1) (+ (* (sin y) x) (* (cos y) z)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (* (neg y) x) (neg y) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (* (+ (* z (/ (cos y) x)) (sin y)) x) (+ (* z (/ (cos y) x)) (sin y)) (/ (* (cos y) z) x) (pow (sqrt (cos y)) 2) (* (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (* y y) (* (* (neg y) x) (+ (* 1/6 (* y y)) -1)) (+ (* 1/6 (* y y)) -1) (* (cos y) z) (/ (pow (sqrt (cos y)) 2) x)) |
| 6.0ms | y | @ | -inf | ((* (+ (* x (/ (sin y) z)) (cos y)) z) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* x (/ (sin y) z)) (cos y)) (/ (sin y) z) (+ (* (sin y) x) (* (cos y) z)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (* (+ (* -1/2 (* y y)) 1) z) (+ (* -1/2 (* y y)) 1) (+ (* (sin y) x) (* (cos y) z)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (* (neg y) x) (neg y) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (* (+ (* z (/ (cos y) x)) (sin y)) x) (+ (* z (/ (cos y) x)) (sin y)) (/ (* (cos y) z) x) (pow (sqrt (cos y)) 2) (* (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (* y y) (* (* (neg y) x) (+ (* 1/6 (* y y)) -1)) (+ (* 1/6 (* y y)) -1) (* (cos y) z) (/ (pow (sqrt (cos y)) 2) x)) |
| 5.0ms | y | @ | inf | ((* (+ (* x (/ (sin y) z)) (cos y)) z) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* x (/ (sin y) z)) (cos y)) (/ (sin y) z) (+ (* (sin y) x) (* (cos y) z)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (* (+ (* -1/2 (* y y)) 1) z) (+ (* -1/2 (* y y)) 1) (+ (* (sin y) x) (* (cos y) z)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (* (neg y) x) (neg y) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (* (+ (* z (/ (cos y) x)) (sin y)) x) (+ (* z (/ (cos y) x)) (sin y)) (/ (* (cos y) z) x) (pow (sqrt (cos y)) 2) (* (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (* y y) (* (* (neg y) x) (+ (* 1/6 (* y y)) -1)) (+ (* 1/6 (* y y)) -1) (* (cos y) z) (/ (pow (sqrt (cos y)) 2) x)) |
| 4.0ms | z | @ | -inf | ((* (+ (* x (/ (sin y) z)) (cos y)) z) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* x (/ (sin y) z)) (cos y)) (/ (sin y) z) (+ (* (sin y) x) (* (cos y) z)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (* (+ (* -1/2 (* y y)) 1) z) (+ (* -1/2 (* y y)) 1) (+ (* (sin y) x) (* (cos y) z)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (* (neg y) x) (neg y) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (* (+ (* z (/ (cos y) x)) (sin y)) x) (+ (* z (/ (cos y) x)) (sin y)) (/ (* (cos y) z) x) (pow (sqrt (cos y)) 2) (* (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (* y y) (* (* (neg y) x) (+ (* 1/6 (* y y)) -1)) (+ (* 1/6 (* y y)) -1) (* (cos y) z) (/ (pow (sqrt (cos y)) 2) x)) |
| 1× | egg-herbie |
| 21 378× | lower-fma.f64 |
| 21 378× | lower-fma.f32 |
| 6 178× | lower-*.f64 |
| 6 178× | lower-*.f32 |
| 3 700× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 297 | 7013 |
| 1 | 946 | 6829 |
| 2 | 3023 | 6734 |
| 0 | 8375 | 6174 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(/ (* x (sin y)) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(sin y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(sin y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(cos y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(/ (* z (cos y)) x) |
(* z (+ (/ (cos y) x) (/ (sin y) z))) |
(* z (+ (/ (cos y) x) (/ (sin y) z))) |
(* z (+ (/ (cos y) x) (/ (sin y) z))) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(/ (* z (cos y)) x) |
(* z (+ (/ (cos y) x) (/ (sin y) z))) |
(* z (+ (/ (cos y) x) (/ (sin y) z))) |
(* z (+ (/ (cos y) x) (/ (sin y) z))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(cos y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(/ (* z (cos y)) x) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(/ (* z (cos y)) x) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
z |
(+ z (* x y)) |
(+ z (* y (- (* y (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x)))) |
(+ z (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) z)) (+ (* -1/2 x) (* 1/6 x))))) (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z))) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x)))) |
1 |
(+ 1 (/ (* x y) z)) |
(+ 1 (* y (+ (* -1/2 y) (/ x z)))) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z)))) |
(/ y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
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(/ (cos y) x) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(/ (* x (sin y)) z) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(sin y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(/ (* z (cos y)) x) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(sin y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
| Outputs |
|---|
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(/ (* x (sin y)) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(sin y) |
(sin.f64 y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(/ (* z (cos y)) x) |
(/.f64 (*.f64 (cos.f64 y) z) x) |
(/ (* z (cos y)) x) |
(/.f64 (*.f64 (cos.f64 y) z) x) |
(/ (* z (cos y)) x) |
(/.f64 (*.f64 (cos.f64 y) z) x) |
(/ (* z (cos y)) x) |
(/.f64 (*.f64 (cos.f64 y) z) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(sin y) |
(sin.f64 y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (/.f64 x z) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (/.f64 x z) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (/.f64 x z) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (/.f64 x z) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (/.f64 x z) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (/.f64 x z) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(/ (* z (cos y)) x) |
(/.f64 (*.f64 (cos.f64 y) z) x) |
(* z (+ (/ (cos y) x) (/ (sin y) z))) |
(*.f64 (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)) z) |
(* z (+ (/ (cos y) x) (/ (sin y) z))) |
(*.f64 (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)) z) |
(* z (+ (/ (cos y) x) (/ (sin y) z))) |
(*.f64 (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)) z) |
(/ (* z (cos y)) x) |
(/.f64 (*.f64 (cos.f64 y) z) x) |
(/ (* z (cos y)) x) |
(/.f64 (*.f64 (cos.f64 y) z) x) |
(/ (* z (cos y)) x) |
(/.f64 (*.f64 (cos.f64 y) z) x) |
(/ (* z (cos y)) x) |
(/.f64 (*.f64 (cos.f64 y) z) x) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(/ (* z (cos y)) x) |
(/.f64 (*.f64 (cos.f64 y) z) x) |
(* z (+ (/ (cos y) x) (/ (sin y) z))) |
(*.f64 (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)) z) |
(* z (+ (/ (cos y) x) (/ (sin y) z))) |
(*.f64 (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)) z) |
(* z (+ (/ (cos y) x) (/ (sin y) z))) |
(*.f64 (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
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(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
| 4 478× | lower-fma.f32 |
| 4 472× | lower-*.f32 |
| 4 470× | lower-fma.f64 |
| 4 456× | lower-*.f64 |
| 3 644× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 400 |
| 0 | 90 | 395 |
| 1 | 350 | 325 |
| 2 | 2502 | 325 |
| 0 | 8185 | 308 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(/.f64 (sin.f64 y) z) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x)) |
(*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x) |
#s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) |
(/.f64 (*.f64 (cos.f64 y) z) x) |
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) |
(*.f64 (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) x) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) x)) |
(fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) |
(*.f64 y y) |
(*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
(*.f64 (cos.f64 y) z) |
(/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) |
| Outputs |
|---|
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(*.f64 z (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z)) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (neg.f64 (cos.f64 y))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (neg.f64 (cos.f64 y))))) |
(/.f64 (neg.f64 (*.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (fma.f64 (/.f64 (sin.f64 y) z) x (neg.f64 (cos.f64 y)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (fma.f64 (/.f64 (sin.f64 y) z) x (neg.f64 (cos.f64 y)))) |
(/.f64 (*.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)))) |
(fma.f64 (exp.f64 (log.f64 z)) (cos.f64 y) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) |
(fma.f64 (exp.f64 (log.f64 z)) (cos.f64 y) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x))) |
(fma.f64 (pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 y)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) |
(fma.f64 (pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 y)) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x))) |
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) |
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64)) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x))) |
(fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) |
(fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x))) |
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) |
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x))) |
(fma.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z (*.f64 (cos.f64 y) z)) |
(fma.f64 (cos.f64 y) (exp.f64 (log.f64 z)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) |
(fma.f64 (cos.f64 y) (exp.f64 (log.f64 z)) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) |
(fma.f64 (cos.f64 y) z (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x))) |
(fma.f64 z (*.f64 (/.f64 (sin.f64 y) z) x) (*.f64 (cos.f64 y) z)) |
(fma.f64 z (cos.f64 y) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) |
(fma.f64 z (cos.f64 y) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x))) |
(+.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z) (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)) (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (neg.f64 (cos.f64 y))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (neg.f64 (cos.f64 y))) (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (neg.f64 (cos.f64 y)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (sin.f64 y) z) x (neg.f64 (cos.f64 y)))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (neg.f64 (cos.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (neg.f64 (cos.f64 y))) (fma.f64 (/.f64 (sin.f64 y) z) x (neg.f64 (cos.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64))) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (neg.f64 (cos.f64 y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (fma.f64 (/.f64 (sin.f64 y) z) x (neg.f64 (cos.f64 y)))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (neg.f64 (cos.f64 y))) (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (neg.f64 (cos.f64 y))) (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) z) (cos.f64 y)) |
(fma.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (/.f64 x z) (cos.f64 y)) |
(fma.f64 (/.f64 (neg.f64 (sin.f64 y)) z) (/.f64 x #s(literal -1 binary64)) (cos.f64 y)) |
(fma.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (cos.f64 y)) |
(fma.f64 (/.f64 x z) (/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (cos.f64 y)) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (cos.f64 y)) |
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (*.f64 (/.f64 (sin.f64 y) z) x)) |
(fma.f64 (*.f64 (sin.f64 y) x) (pow.f64 z #s(literal -1 binary64)) (cos.f64 y)) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(fma.f64 (sin.f64 y) (*.f64 (pow.f64 z #s(literal -1 binary64)) x) (cos.f64 y)) |
(fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x))) (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (sin.f64 y) z) x (neg.f64 (cos.f64 y)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (/.f64 (sin.f64 y) z) x (neg.f64 (cos.f64 y))))) |
(+.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)) |
(+.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (sin.f64 y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (sin.f64 y)) |
(*.f64 (neg.f64 (sin.f64 y)) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) z)) |
(*.f64 (sin.f64 y) (pow.f64 z #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 z (sin.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 z (sin.f64 y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 y)))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) z) |
(/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (sin.f64 y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (sin.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z (sin.f64 y)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (sin.f64 y)))) |
(/.f64 (sin.f64 y) z) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) z)) |
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (sin.f64 y) (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (sin.f64 y))) #s(literal -1 binary64))) |
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(fma.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 y (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 x) (neg.f64 y))) |
(fma.f64 (neg.f64 x) (neg.f64 y) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1/6 binary64)) (*.f64 y y))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 x) (neg.f64 y))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 x) (neg.f64 y))) |
(fma.f64 (*.f64 (neg.f64 y) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (*.f64 (neg.f64 x) (neg.f64 y))) |
(fma.f64 (*.f64 (neg.f64 y) x) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1/6 binary64)) (*.f64 y y))) |
(fma.f64 (neg.f64 y) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 (neg.f64 x) (neg.f64 y))) |
(fma.f64 (neg.f64 y) (*.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1/6 binary64)) (*.f64 y y))) |
(fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 x) (neg.f64 y))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) x) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1/6 binary64)) (*.f64 y y))) |
(fma.f64 x (*.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1/6 binary64)) (*.f64 y y))) |
(fma.f64 x (*.f64 (neg.f64 y) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 (neg.f64 x) (neg.f64 y))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1/6 binary64)) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1/6 binary64)) (*.f64 y y)) (*.f64 (neg.f64 x) (neg.f64 y)))) (/.f64 (pow.f64 (*.f64 (neg.f64 x) (neg.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1/6 binary64)) (*.f64 y y)) (*.f64 (neg.f64 x) (neg.f64 y))))) |
(+.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1/6 binary64)) (*.f64 y y))) |
(+.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1/6 binary64)) (*.f64 y y)) (*.f64 (neg.f64 x) (neg.f64 y))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal -1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(*.f64 (exp.f64 (log.f64 z)) (cos.f64 y)) |
(*.f64 (pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64))) |
(*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z))) |
(*.f64 (cos.f64 y) (exp.f64 (log.f64 z))) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z))) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (cos.f64 y)) x)) |
(*.f64 (/.f64 (sqrt.f64 (cos.f64 y)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) |
(*.f64 (neg.f64 (cos.f64 y)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (/.f64 (sqrt.f64 (cos.f64 y)) x)) |
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 x (cos.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (cos.f64 y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 y)))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 y))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (cos.f64 y)) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (cos.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (cos.f64 y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (cos.f64 y)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (cos.f64 y)))) |
(/.f64 (cos.f64 y) x) |
(neg.f64 (/.f64 (neg.f64 (cos.f64 y)) x)) |
(neg.f64 (/.f64 (cos.f64 y) (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (cos.f64 y) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (cos.f64 y))) #s(literal -1 binary64))) |
Compiled 16 698 to 2 210 computations (86.8% saved)
47 alts after pruning (41 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 098 | 22 | 1 120 |
| Fresh | 9 | 19 | 28 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 110 | 47 | 1 157 |
| Status | Accuracy | Program |
|---|---|---|
| 59.6% | (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) | |
| 48.5% | (fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| 72.3% | (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| 51.1% | (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) | |
| 16.9% | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) #s(literal -1 binary64))) | |
| 33.7% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) | |
| 32.0% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)))) | |
| 36.3% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))) | |
| 65.4% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) | |
| 38.8% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z))) | |
| 49.5% | (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) | |
| 68.6% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))) | |
| 77.2% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (fma.f64 (/.f64 (sin.f64 y) z) x (neg.f64 (cos.f64 y))))) | |
| 60.1% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x) (fma.f64 (/.f64 z x) (cos.f64 y) (neg.f64 (sin.f64 y))))) | |
| ✓ | 93.2% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
| 93.1% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (sin.f64 y))) (cos.f64 y)) z)) | |
| 65.5% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (cos.f64 y) z)) | |
| 40.1% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x) y)) x)) | |
| 30.9% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (/.f64 z x)) x)) | |
| 38.0% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) x)) x)) | |
| 29.4% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)) x)) x)) | |
| 29.4% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 #s(approx (* (cos y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) x)) x)) | |
| 48.9% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 z (/.f64 x (cos.f64 y)))) x)) | |
| 48.9% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 z (pow.f64 (cos.f64 y) #s(literal -1 binary64))))) x)) | |
| 48.9% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (cos.f64 y) z))) x)) | |
| 48.9% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z)) x)) | |
| 49.0% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (*.f64 (/.f64 z x) (cos.f64 y))) x)) | |
| 43.0% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)) | |
| 38.9% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) | |
| 47.6% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))) | |
| 47.8% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) x (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| 24.4% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) y) y)) y z)) | |
| 13.2% | #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 (neg.f64 x) (neg.f64 y))))) | |
| 13.2% | #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 y (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 x) (neg.f64 y))))) | |
| ✓ | 36.8% | #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
| 3.3% | #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) #s(approx (+ (* 1/6 (* y y)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) | |
| 3.1% | #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z))) | |
| 3.1% | #s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) #s(approx (* (+ (* -1/2 (* y y)) 1) z) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))) | |
| ✓ | 48.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 19.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) | |
| 48.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) | |
| ✓ | 36.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
| 47.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z))) | |
| ✓ | 13.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
| 13.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) | |
| 13.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
Compiled 1 851 to 857 computations (53.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) #s(approx (* (+ (* -1/2 (* y y)) 1) z) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 z x)) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (/.f64 z x)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)) (pow (* (sin y) x) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* z (/ (cos y) x)) (sin y)) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) #s(approx (+ (* 1/6 (* y y)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x) y z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) x (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 y (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 x) (neg.f64 y))))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 (neg.f64 x) (neg.f64 y))))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 #s(approx (* (cos y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) x)) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x) y)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) y) y)) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)) x)) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (*.f64 (/.f64 z x) (cos.f64 y))) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z)) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 z (/.f64 x (cos.f64 y)))) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (cos.f64 y) z))) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (sin.f64 y))) (cos.f64 y)) z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y))) (sin.f64 y)) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) x)) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (*.f64 z (cos.f64 y)) (pow.f64 x #s(literal -1 binary64)) (sin.f64 y)) x)) |
(fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 z (pow.f64 (cos.f64 y) #s(literal -1 binary64))))) x)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x) (sin.f64 y)) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))) |
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(fma.f64 (sin.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64))) z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 z (pow.f64 (cos.f64 y) #s(literal -1 binary64))) (sin.f64 y)) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)))) |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)))) |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x) (fma.f64 (/.f64 z x) (cos.f64 y) (neg.f64 (sin.f64 y))))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (fma.f64 (/.f64 (sin.f64 y) z) x (neg.f64 (cos.f64 y))))) |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
4 calls:
| 37.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 25.0ms | y |
| 22.0ms | x |
| 22.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) #s(approx (* (+ (* -1/2 (* y y)) 1) z) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 z x)) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (/.f64 z x)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)) (pow (* (sin y) x) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* z (/ (cos y) x)) (sin y)) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) #s(approx (+ (* 1/6 (* y y)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x) y z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) x (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 y (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 x) (neg.f64 y))))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 (neg.f64 x) (neg.f64 y))))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 #s(approx (* (cos y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) x)) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x) y)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) y) y)) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)) x)) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (*.f64 (/.f64 z x) (cos.f64 y))) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z)) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 z (/.f64 x (cos.f64 y)))) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
4 calls:
| 15.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 14.0ms | y |
| 14.0ms | z |
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.9% | 3 | x |
| 77.9% | 3 | y |
| 88.9% | 3 | z |
| 76.9% | 3 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) #s(approx (* (+ (* -1/2 (* y y)) 1) z) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 z x)) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (/.f64 z x)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)) (pow (* (sin y) x) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* z (/ (cos y) x)) (sin y)) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) #s(approx (+ (* 1/6 (* y y)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x) y z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) x (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 y (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 x) (neg.f64 y))))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 (neg.f64 x) (neg.f64 y))))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 #s(approx (* (cos y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) x)) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x) y)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) y) y)) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)) x)) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (cos.f64 y) z)) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
2 calls:
| 21.0ms | x |
| 12.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.4% | 3 | x |
| 76.7% | 3 | z |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) #s(approx (* (+ (* -1/2 (* y y)) 1) z) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 z x)) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (/.f64 z x)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)) (pow (* (sin y) x) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* z (/ (cos y) x)) (sin y)) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) #s(approx (+ (* 1/6 (* y y)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x) y z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) x (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 y (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 x) (neg.f64 y))))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 (neg.f64 x) (neg.f64 y))))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 #s(approx (* (cos y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) x)) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x) y)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) y) y)) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)) x)) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
4 calls:
| 12.0ms | y |
| 11.0ms | z |
| 10.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.0% | 3 | z |
| 65.5% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 76.4% | 3 | y |
| 71.0% | 3 | x |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) #s(approx (* (+ (* -1/2 (* y y)) 1) z) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 z x)) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (/.f64 z x)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)) (pow (* (sin y) x) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* z (/ (cos y) x)) (sin y)) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) #s(approx (+ (* 1/6 (* y y)) -1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x) y z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) x (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 y (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 x) (neg.f64 y))))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 (neg.f64 x) (neg.f64 y))))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 #s(approx (* (cos y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) x)) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (pow (sqrt (cos y)) 2) x)) (sin y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x) y)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) y) y)) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (cos y) x)) (sin y)) (/.f64 #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)) x)) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
4 calls:
| 16.0ms | x |
| 11.0ms | y |
| 9.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 9.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.7% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 48.7% | 1 | x |
| 48.7% | 1 | z |
| 48.7% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) |
| Outputs |
|---|
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
4 calls:
| 2.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.9% | 1 | y |
| 38.9% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 41.4% | 2 | x |
| 38.9% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
4 calls:
| 1.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 13.6% | 1 | z |
| 13.6% | 1 | y |
| 13.6% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 13.6% | 1 | x |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 4.632215584770135e+67 | 1.488038353196865e+69 |
| 26.0ms | -2.3021423109395683e+49 | -2.7682863072856605e+41 |
| 38.0ms | 256× | 0 | valid |
Compiled 220 to 270 computations (-22.7% saved)
ival-cos: 13.0ms (44.9% of total)ival-sin: 11.0ms (38% of total)ival-mult: 3.0ms (10.4% of total)ival-add: 1.0ms (3.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 4.680232928633961e+146 | 3.409813813675791e+147 |
| 17.0ms | -3.9972779945798045e+124 | -1.383007499242655e+120 |
| 21.0ms | 224× | 0 | valid |
Compiled 152 to 210 computations (-38.2% saved)
ival-sin: 6.0ms (40% of total)ival-cos: 4.0ms (26.7% of total)ival-mult: 4.0ms (26.7% of total)ival-add: 1.0ms (6.7% 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 |
|---|---|---|
| 17.0ms | 5.700094833642645e-13 | 0.11461427373429088 |
| 13.0ms | -7904641.069437709 | -2095028.9901360527 |
| 20.0ms | 240× | 0 | valid |
Compiled 162 to 209 computations (-29% saved)
ival-cos: 5.0ms (34.7% of total)ival-sin: 5.0ms (34.7% of total)ival-mult: 3.0ms (20.8% of total)ival-add: 1.0ms (6.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 4.680232928633961e+146 | 3.409813813675791e+147 |
| 7.0ms | 80× | 0 | valid |
Compiled 72 to 104 computations (-44.4% saved)
ival-sin: 2.0ms (41.4% of total)ival-cos: 1.0ms (20.7% of total)ival-mult: 1.0ms (20.7% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 10× | *-commutative-binary64-*.f64 |
| 2× | 1-exp-binary32-exp.f32 |
| 2× | 1-exp-binary64-exp.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 252 |
| 1 | 74 | 252 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(if (<=.f64 z #s(literal -819999999999999929724470997836857985376190464 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 450000000000000032639146371688155806771268484340934879983194569965568 binary64)) (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (<=.f64 x #s(literal -279999999999999996694469753260447842478086349313249325889386516480897399833268882517063917868882691201355854160827256930304 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (if (<=.f64 x #s(literal 539999999999999977470994873631207433375894433203171162421098382840266878529076456350394244714958285070173145504494041939190503353845103230235705344 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)))) |
(if (<=.f64 y #s(literal -2200000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 5718490662849961/36893488147419103232 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(if (<=.f64 x #s(literal 3199999999999999787627735359118791747552630218171077842525632124659835956804589448297552398506401745056568866397772249313852982157676790821687394304 binary64)) #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(if (<=.f64 z #s(literal -819999999999999929724470997836857985376190464 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 450000000000000032639146371688155806771268484340934879983194569965568 binary64)) (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (<=.f64 z #s(literal -819999999999999929724470997836857985376190464 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 450000000000000032639146371688155806771268484340934879983194569965568 binary64)) (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
(if (<=.f64 x #s(literal -279999999999999996694469753260447842478086349313249325889386516480897399833268882517063917868882691201355854160827256930304 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (if (<=.f64 x #s(literal 539999999999999977470994873631207433375894433203171162421098382840266878529076456350394244714958285070173145504494041939190503353845103230235705344 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)))) |
(if (<=.f64 x #s(literal -279999999999999996694469753260447842478086349313249325889386516480897399833268882517063917868882691201355854160827256930304 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) (if (<=.f64 x #s(literal 539999999999999977470994873631207433375894433203171162421098382840266878529076456350394244714958285070173145504494041939190503353845103230235705344 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))))) |
(if (<=.f64 y #s(literal -2200000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 5718490662849961/36893488147419103232 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (<=.f64 y #s(literal -2200000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 5718490662849961/36893488147419103232 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(if (<=.f64 x #s(literal 3199999999999999787627735359118791747552630218171077842525632124659835956804589448297552398506401745056568866397772249313852982157676790821687394304 binary64)) #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))) |
(if (<=.f64 x #s(literal 3199999999999999787627735359118791747552630218171077842525632124659835956804589448297552398506401745056568866397772249313852982157676790821687394304 binary64)) #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| 21 378× | lower-fma.f64 |
| 21 378× | lower-fma.f32 |
| 12 858× | lower-fma.f64 |
| 12 858× | lower-fma.f32 |
| 11 480× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 297 | 7013 |
| 1 | 946 | 6829 |
| 2 | 3023 | 6734 |
| 0 | 8375 | 6174 |
| 0 | 750 | 7700 |
| 1 | 2590 | 7309 |
| 0 | 8406 | 6956 |
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 29 | 21 |
| 2 | 185 | 21 |
| 3 | 1836 | 21 |
| 0 | 8391 | 20 |
| 0 | 109 | 682 |
| 1 | 344 | 678 |
| 2 | 981 | 668 |
| 3 | 2637 | 662 |
| 4 | 4654 | 662 |
| 5 | 6949 | 662 |
| 0 | 8182 | 606 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 216 to 136 computations (37% saved)
Compiled 226 to 102 computations (54.9% saved)
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