
Time bar (total: 9.4s)
| 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)
| 1.5s | 8 256× | 0 | valid |
ival-sin: 532.0ms (46.3% of total)ival-cos: 369.0ms (32.1% of total)ival-mult: 197.0ms (17.1% of total)ival-add: 41.0ms (3.6% of total)ival-true: 7.0ms (0.6% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x (cos.f64 y)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 z (sin.f64 y)) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 55.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-sin: 11.0ms (32.2% of total)ival-cos: 10.0ms (29.2% of total)ival-mult: 10.0ms (29.2% of total)ival-add: 2.0ms (5.8% of total)ival-true: 1.0ms (2.9% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 162× | associate-*r* |
| 160× | unsub-neg |
| 146× | associate-*l* |
| 132× | distribute-lft-neg-in |
| 106× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 87 |
| 1 | 79 | 81 |
| 2 | 139 | 81 |
| 3 | 307 | 81 |
| 4 | 458 | 81 |
| 5 | 688 | 81 |
| 6 | 861 | 81 |
| 7 | 947 | 81 |
| 8 | 1025 | 81 |
| 9 | 1091 | 81 |
| 10 | 1105 | 81 |
| 11 | 1110 | 81 |
| 12 | 1112 | 81 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 16 | 9 |
| 0 | 16 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (sin.f64 y)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 x (cos.f64 y)) | |
| cost-diff | 128 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 8× | lower-fma.f64 |
| 8× | lower-fma.f32 |
| 8× | lower-*.f32 |
| 4× | *-commutative |
| 4× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 16 | 24 |
| 0 | 16 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
| Outputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.015625 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.09765625 | (*.f64 z (sin.f64 y)) | |
| accuracy | 0.09765625 | (*.f64 x (cos.f64 y)) |
| 25.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-cos: 6.0ms (38.7% of total)ival-sin: 5.0ms (32.3% of total)ival-mult: 3.0ms (19.4% of total)ival-add: 1.0ms (6.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (sin y) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (sin y) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (sin y) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y z)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ z (* -1/2 (* x y))))) (taylor 0 y) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) (taylor 0 y) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/2 (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) (taylor 0 y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (pow y 2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* -1/6 (* (pow y 2) z)))) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor inf y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor inf y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor inf y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor inf y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | z | @ | inf | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | z | @ | -inf | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | y | @ | inf | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | x | @ | 0 | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1× | egg-herbie |
| 14 080× | lower-fma.f64 |
| 14 080× | lower-fma.f32 |
| 3 812× | lower-*.f64 |
| 3 812× | lower-*.f32 |
| 2 968× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 620 |
| 1 | 295 | 616 |
| 2 | 891 | 610 |
| 3 | 2076 | 604 |
| 4 | 3745 | 604 |
| 5 | 6377 | 604 |
| 0 | 8794 | 554 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
x |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
| Outputs |
|---|
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
x |
(+ x (* y z)) |
(fma.f64 z y x) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
x |
(+ x (* -1/2 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 z (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(fma.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
| 11 480× | lower-fma.f64 |
| 11 480× | lower-fma.f32 |
| 4 168× | lower-*.f32 |
| 4 164× | lower-*.f64 |
| 4 068× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 29 | 19 |
| 2 | 185 | 19 |
| 3 | 1836 | 19 |
| 0 | 8386 | 18 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 8 272 to 560 computations (93.2% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 257 | 13 | 270 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 258 | 13 | 271 |
| Status | Accuracy | Program |
|---|---|---|
| 81.8% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) | |
| ▶ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
| 81.8% | (fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) | |
| ▶ | 52.3% | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
| 27.5% | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) | |
| ▶ | 36.4% | (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
| 53.7% | (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) | |
| 36.2% | (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) | |
| 54.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) | |
| 53.9% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) | |
| ▶ | 55.1% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
| 40.5% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) | |
| ▶ | 61.3% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
Compiled 560 to 330 computations (41.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sin.f64 y) z) | |
| cost-diff | 0 | (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) | |
| cost-diff | 0 | (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) | |
| cost-diff | 40320 | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 (cos.f64 y) x) | |
| cost-diff | 0 | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) | |
| cost-diff | 0 | (fma.f64 z y x) | |
| cost-diff | 0 | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) z) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
| 8 306× | lower-fma.f32 |
| 8 298× | lower-fma.f64 |
| 4 050× | lower-*.f32 |
| 4 046× | lower-*.f64 |
| 1 822× | 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 | 6838 | 258 |
| 0 | 8030 | 258 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(cos.f64 y) |
y |
x |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
z |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(fma.f64 z y x) |
z |
y |
x |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
#s(literal -1 binary64) |
(pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) z) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
#s(literal 3 binary64) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
(fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) |
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(cos.f64 y) |
y |
x |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
z |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(fma.f64 z y x) |
z |
y |
x |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
y |
x |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
x |
#s(literal -1 binary64) |
(pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) |
(+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) |
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
y |
z |
#s(literal 3 binary64) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) |
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
x |
(fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) |
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) |
(fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.125 | (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) | |
| accuracy | 0.22626879884221007 | (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) | |
| accuracy | 2.148431307490618 | (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) | |
| accuracy | 39.653368636076905 | (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) | |
| accuracy | 0.24123002930532603 | (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) | |
| accuracy | 0.26709167426678043 | (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) | |
| accuracy | 1.9453063074906176 | (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) | |
| accuracy | 30.073300404121856 | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.09765625 | (*.f64 (cos.f64 y) x) | |
| accuracy | 24.748357671236676 | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) | |
| accuracy | 0 | (fma.f64 z y x) | |
| accuracy | 28.734112572457693 | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.046875 | (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) | |
| accuracy | 0.09765625 | (*.f64 (sin.f64 y) z) |
| 180.0ms | 256× | 0 | valid |
Compiled 278 to 34 computations (87.8% saved)
ival-pow: 46.0ms (43.3% of total)ival-mult: 19.0ms (17.9% of total)ival-add: 10.0ms (9.4% of total)ival-cos: 8.0ms (7.5% of total)ival-sin: 7.0ms (6.6% of total)ival-pow2: 7.0ms (6.6% of total)ival-div: 4.0ms (3.8% of total)ival-sub: 3.0ms (2.8% of total)ival-neg: 2.0ms (1.9% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (patch (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 y) z) (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (cos.f64 y) x) (patch (*.f64 (cos.f64 y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (patch (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (patch (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (patch (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (patch (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) (patch (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 (sin.f64 y) z) (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 (sin.f64 y) z) (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 (sin.f64 y) z) (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 (sin.f64 y) z) (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (cos y))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.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 (cos y)) (taylor 0 z) (#s(alt (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (patch (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (patch (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) (taylor 0 z) (#s(alt (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (patch (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (- (* z (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) (taylor 0 z) (#s(alt (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (patch (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (pow (cos y) 3)) (taylor 0 z) (#s(alt (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (taylor 0 z) (#s(alt (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (taylor 0 z) (#s(alt (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (taylor 0 z) (#s(alt (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 3) (pow (sin y) 3)) (taylor 0 z) (#s(alt (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 3) (pow (sin y) 3)) (taylor 0 z) (#s(alt (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 3) (pow (sin y) 3)) (taylor 0 z) (#s(alt (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 3) (pow (sin y) 3)) (taylor 0 z) (#s(alt (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow (cos y) 2)) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 4) (pow (cos y) 6)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4))))) (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (pow (cos y) 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow (cos y) 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | inf | ((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) |
| 9.0ms | y | @ | -inf | ((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) |
| 8.0ms | z | @ | inf | ((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) |
| 8.0ms | y | @ | 0 | ((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) |
| 7.0ms | z | @ | 0 | ((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) |
| 1× | egg-herbie |
| 10 486× | lower-fma.f64 |
| 10 486× | lower-fma.f32 |
| 7 476× | lower-*.f64 |
| 7 476× | lower-*.f32 |
| 3 010× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 750 | 7679 |
| 1 | 2589 | 7256 |
| 0 | 8377 | 6909 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
x |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(/ 1 (* x (cos y))) |
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(+ (* x (cos y)) (* z (- (* z (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(* (pow x 3) (pow (cos y) 3)) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow x 2) (pow (cos y) 2)) |
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2))) |
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2))) |
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2))) |
(/ 1 (* (pow x 2) (pow (cos y) 2))) |
(+ (/ 1 (* (pow x 2) (pow (cos y) 2))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 4) (pow (cos y) 4)))) |
(+ (* (pow z 2) (- (/ (* (pow z 2) (pow (sin y) 4)) (* (pow x 6) (pow (cos y) 6))) (* -1 (/ (pow (sin y) 2) (* (pow x 4) (pow (cos y) 4)))))) (/ 1 (* (pow x 2) (pow (cos y) 2)))) |
(+ (* (pow z 2) (- (* (pow z 2) (- (/ (* (pow z 2) (pow (sin y) 6)) (* (pow x 8) (pow (cos y) 8))) (* -1 (/ (pow (sin y) 4) (* (pow x 6) (pow (cos y) 6)))))) (* -1 (/ (pow (sin y) 2) (* (pow x 4) (pow (cos y) 4)))))) (/ 1 (* (pow x 2) (pow (cos y) 2)))) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* y z) |
(* z (+ y (/ x z))) |
(* z (+ y (/ x z))) |
(* z (+ y (/ x z))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(/ -1 (* z (sin y))) |
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (pow z 2)))) (* -1 (/ (* x (cos y)) z)))) |
(* z (- (+ (sin y) (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* (pow z 3) (sin y))))) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (+ (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3)) (pow (sin y) 3))) |
(* (pow z 3) (+ (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3)) (pow (sin y) 3))) |
(* (pow z 3) (+ (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3)) (pow (sin y) 3))) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2))) |
(/ -1 (* (pow z 2) (pow (sin y) 2))) |
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 4)))) (/ 1 (pow (sin y) 2))) (pow z 2)) |
(/ (- (* -1 (/ (* (pow x 4) (pow (cos y) 4)) (* (pow z 4) (pow (sin y) 6)))) (+ (/ 1 (pow (sin y) 2)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 4))))) (pow z 2)) |
(/ (- (* -1 (/ (* (pow x 6) (pow (cos y) 6)) (* (pow z 6) (pow (sin y) 8)))) (+ (/ 1 (pow (sin y) 2)) (+ (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 4))) (/ (* (pow x 4) (pow (cos y) 4)) (* (pow z 4) (pow (sin y) 6)))))) (pow z 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* y z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(/ -1 (* z (sin y))) |
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (* -1 (* x (cos y)))) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* z (sin y)))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z)) (* -1 (* x (cos y)))) z))))) |
(* (pow z 3) (pow (sin y) 3)) |
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3))) (* -1 (pow (sin y) 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3))) (* -1 (pow (sin y) 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3))) (* -1 (pow (sin y) 3))))) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2))) |
(/ -1 (* (pow z 2) (pow (sin y) 2))) |
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 4)))) (/ 1 (pow (sin y) 2))) (pow z 2)) |
(/ (- (* -1 (/ (* (pow x 4) (pow (cos y) 4)) (* (pow z 4) (pow (sin y) 6)))) (+ (/ 1 (pow (sin y) 2)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 4))))) (pow z 2)) |
(/ (- (* -1 (/ (* (pow x 6) (pow (cos y) 6)) (* (pow z 6) (pow (sin y) 8)))) (+ (/ 1 (pow (sin y) 2)) (+ (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 4))) (/ (* (pow x 4) (pow (cos y) 4)) (* (pow z 4) (pow (sin y) 6)))))) (pow z 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
x |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
x |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
x |
(+ x (* y z)) |
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z)))) |
(+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1 (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) x)) (+ (* -1/2 z) (* 1/6 z)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z)))) |
(/ 1 x) |
(+ (/ 1 x) (/ (* y z) (pow x 2))) |
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
x |
(+ x (* y z)) |
(+ x (* y (- (* y (- (* -3/2 x) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) (* -1 z)))) |
(+ x (* y (- (* y (- (+ (* -3/2 x) (* y (- (/ (pow z 3) (pow x 2)) (+ (* -1 (/ (* z (- (* -3/2 x) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) x)) (+ (/ (* z (+ (* -1 (pow x 2)) (pow z 2))) (pow x 2)) (/ (* z (+ (* 1/6 x) (* 1/2 x))) x)))))) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) (* -1 z)))) |
(pow x 3) |
(+ (* -3/2 (* (pow x 3) (pow y 2))) (pow x 3)) |
(+ (* (pow y 2) (+ (* -3/2 (pow x 3)) (* y (pow z 3)))) (pow x 3)) |
(+ (* (pow y 2) (+ (* -3/2 (pow x 3)) (* y (+ (* 7/8 (* (pow x 3) y)) (pow z 3))))) (pow x 3)) |
(* (pow y 3) (pow z 3)) |
(* (pow y 3) (+ (* -1/2 (* (pow y 2) (pow z 3))) (pow z 3))) |
(* (pow y 3) (+ (* (pow y 2) (+ (* -1/2 (pow z 3)) (* 13/120 (* (pow y 2) (pow z 3))))) (pow z 3))) |
(* (pow y 3) (+ (* (pow y 2) (+ (* -1/2 (pow z 3)) (* (pow y 2) (+ (* -41/3024 (* (pow y 2) (pow z 3))) (* 13/120 (pow z 3)))))) (pow z 3))) |
(pow x 2) |
(+ (* (pow y 2) (- (* -1 (pow x 2)) (pow z 2))) (pow x 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow x 2)) (* (pow y 2) (- (* 1/3 (pow x 2)) (* -1/3 (pow z 2))))) (pow z 2))) (pow x 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow x 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 z 2))) (pow x 2)) |
(/ 1 (pow x 2)) |
(+ (* (pow y 2) (+ (/ 1 (pow x 2)) (/ (pow z 2) (pow x 4)))) (/ 1 (pow x 2))) |
(+ (* (pow y 2) (+ (* (pow y 2) (- (* -1/3 (/ (pow z 2) (pow x 4))) (+ (* 1/3 (/ 1 (pow x 2))) (/ (* (+ (/ 1 (pow x 2)) (/ (pow z 2) (pow x 4))) (- (* -1 (pow x 2)) (pow z 2))) (pow x 2))))) (+ (/ 1 (pow x 2)) (/ (pow z 2) (pow x 4))))) (/ 1 (pow x 2))) |
(+ (* (pow y 2) (+ (* (pow y 2) (- (+ (* -1/3 (/ (pow z 2) (pow x 4))) (* (pow y 2) (- (+ (* 2/45 (/ 1 (pow x 2))) (* 2/45 (/ (pow z 2) (pow x 4)))) (+ (/ (* (+ (/ 1 (pow x 2)) (/ (pow z 2) (pow x 4))) (- (* 1/3 (pow x 2)) (* -1/3 (pow z 2)))) (pow x 2)) (/ (* (- (* -1 (pow x 2)) (pow z 2)) (- (* -1/3 (/ (pow z 2) (pow x 4))) (+ (* 1/3 (/ 1 (pow x 2))) (/ (* (+ (/ 1 (pow x 2)) (/ (pow z 2) (pow x 4))) (- (* -1 (pow x 2)) (pow z 2))) (pow x 2))))) (pow x 2)))))) (+ (* 1/3 (/ 1 (pow x 2))) (/ (* (+ (/ 1 (pow x 2)) (/ (pow z 2) (pow x 4))) (- (* -1 (pow x 2)) (pow z 2))) (pow x 2))))) (+ (/ 1 (pow x 2)) (/ (pow z 2) (pow x 4))))) (/ 1 (pow x 2))) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2))) |
(pow x 2) |
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2)) |
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* 1/3 (* (pow x 2) (pow y 2))))) (pow x 2)) |
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -2/45 (* (pow x 2) (pow y 2))) (* 1/3 (pow x 2)))))) (pow x 2)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* y z) |
(* y (+ z (/ x y))) |
(* y (+ z (/ x y))) |
(* y (+ z (/ x y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) |
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) |
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) |
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) |
(/ 1 (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2)))) |
(/ 1 (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2)))) |
(/ 1 (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2)))) |
(/ 1 (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2)))) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (cos y) 2)) |
(* (pow x 2) (pow (cos y) 2)) |
(* (pow x 2) (pow (cos y) 2)) |
(* (pow x 2) (pow (cos y) 2)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* y z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (- (* z (sin y)) (* x (cos y))))) (* (pow x 2) (pow (cos y) 2)))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) |
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) |
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) |
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) |
(/ 1 (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2)))) |
(/ 1 (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2)))) |
(/ 1 (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2)))) |
(/ 1 (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2)))) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (cos y) 2)) |
(* (pow x 2) (pow (cos y) 2)) |
(* (pow x 2) (pow (cos y) 2)) |
(* (pow x 2) (pow (cos y) 2)) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* y z) |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(/ -1 (* z (sin y))) |
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* -1 (cos y)))) (* z (sin y))) |
(+ (* x (- (* x (- (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* z (sin y)))) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* -1 (cos y)))) (* z (sin y))) |
(* (pow z 3) (pow (sin y) 3)) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) |
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) |
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) |
(/ -1 (* (pow z 2) (pow (sin y) 2))) |
(- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 4) (pow (sin y) 4)))) (/ 1 (* (pow z 2) (pow (sin y) 2)))) |
(- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (pow (cos y) 4)) (* (pow z 6) (pow (sin y) 6)))) (/ (pow (cos y) 2) (* (pow z 4) (pow (sin y) 4))))) (/ 1 (* (pow z 2) (pow (sin y) 2)))) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (pow (cos y) 6)) (* (pow z 8) (pow (sin y) 8)))) (/ (pow (cos y) 4) (* (pow z 6) (pow (sin y) 6))))) (/ (pow (cos y) 2) (* (pow z 4) (pow (sin y) 4))))) (/ 1 (* (pow z 2) (pow (sin y) 2)))) |
(* (pow x 2) (pow (cos y) 2)) |
(* (pow x 2) (pow (cos y) 2)) |
(* (pow x 2) (pow (cos y) 2)) |
(* (pow x 2) (pow (cos y) 2)) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (/ (* y z) x))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(/ 1 (* x (cos y))) |
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (pow x 2)))) (* -1 (/ (* z (sin y)) x)))) |
(* x (- (+ (cos y) (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* (pow x 3) (cos y))))) (+ (* -1 (/ (* z (sin y)) x)) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y))))))) |
(* (pow x 3) (pow (cos y) 3)) |
(* (pow x 3) (+ (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3)) (pow (cos y) 3))) |
(* (pow x 3) (+ (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3)) (pow (cos y) 3))) |
(* (pow x 3) (+ (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3)) (pow (cos y) 3))) |
(* (pow x 2) (pow (cos y) 2)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2))) |
(/ 1 (* (pow x 2) (pow (cos y) 2))) |
(/ (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4)))) (pow x 2)) |
(/ (- (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 4) (pow (cos y) 6)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4))))) (pow x 2)) |
(/ (- (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 6) (pow (sin y) 6)) (* (pow x 6) (pow (cos y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 4) (pow (cos y) 6)))))) (pow x 2)) |
(* (pow x 2) (pow (cos y) 2)) |
(* (pow x 2) (pow (cos y) 2)) |
(* (pow x 2) (pow (cos y) 2)) |
(* (pow x 2) (pow (cos y) 2)) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
x |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(/ 1 (* x (cos y))) |
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (* -1 (* z (sin y)))) x))))) |
(* (pow x 3) (pow (cos y) 3)) |
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (* -1 (pow (cos y) 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (* -1 (pow (cos y) 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (* -1 (pow (cos y) 3))))) |
(* (pow x 2) (pow (cos y) 2)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2))) |
(/ 1 (* (pow x 2) (pow (cos y) 2))) |
(/ (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4)))) (pow x 2)) |
(/ (- (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 4) (pow (cos y) 6)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4))))) (pow x 2)) |
(/ (- (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 6) (pow (sin y) 6)) (* (pow x 6) (pow (cos y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 4) (pow (cos y) 6)))))) (pow x 2)) |
(* (pow x 2) (pow (cos y) 2)) |
(* (pow x 2) (pow (cos y) 2)) |
(* (pow x 2) (pow (cos y) 2)) |
(* (pow x 2) (pow (cos y) 2)) |
| Outputs |
|---|
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
x |
(+ x (* y z)) |
(fma.f64 z y x) |
(+ x (* y z)) |
(fma.f64 z y x) |
(+ x (* y z)) |
(fma.f64 z y x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(/ 1 (* x (cos y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)) |
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) |
(fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (sin.f64 y) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) z (/.f64 (sin.f64 y) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) z (sin.f64 y)) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (- (* z (- (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) x) (/.f64 z (cos.f64 y)) #s(literal 0 binary64))) z (sin.f64 y)) z (*.f64 (cos.f64 y) x)) |
(* (pow x 3) (pow (cos y) 3)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(+ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(* (pow z 3) (pow (sin y) 3)) |
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) |
(* (pow z 3) (pow (sin y) 3)) |
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) |
(* (pow z 3) (pow (sin y) 3)) |
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) |
(* (pow z 3) (pow (sin y) 3)) |
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) |
(* (pow x 2) (pow (cos y) 2)) |
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) |
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2))) |
(fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) |
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2))) |
(fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) |
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2))) |
(fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) |
(/ 1 (* (pow x 2) (pow (cos y) 2))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(+ (/ 1 (* (pow x 2) (pow (cos y) 2))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 4) (pow (cos y) 4)))) |
(fma.f64 (/.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+ (* (pow z 2) (- (/ (* (pow z 2) (pow (sin y) 4)) (* (pow x 6) (pow (cos y) 6))) (* -1 (/ (pow (sin y) 2) (* (pow x 4) (pow (cos y) 4)))))) (/ 1 (* (pow x 2) (pow (cos y) 2)))) |
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(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(/ (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 x x)) |
(/ (- (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 4) (pow (cos y) 6)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (*.f64 x x)) |
(/ (- (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 6) (pow (sin y) 6)) (* (pow x 6) (pow (cos y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 4) (pow (cos y) 6)))))) (pow x 2)) |
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal 8 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 z z) x)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))))) (*.f64 x x)) |
(* (pow x 2) (pow (cos y) 2)) |
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (pow (cos y) 2)) |
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (pow (cos y) 2)) |
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (pow (cos y) 2)) |
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) |
| 7 454× | lower-fma.f32 |
| 7 446× | lower-fma.f64 |
| 4 506× | lower-/.f32 |
| 4 502× | lower-/.f64 |
| 4 306× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 194 |
| 0 | 56 | 147 |
| 1 | 238 | 147 |
| 2 | 1618 | 147 |
| 0 | 8628 | 147 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(cos.f64 y) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(fma.f64 z y x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(neg.f64 z) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) |
(-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) |
(pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) |
| Outputs |
|---|
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Compiled 75 796 to 3 739 computations (95.1% saved)
26 alts after pruning (23 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 022 | 21 | 2 043 |
| Fresh | 6 | 2 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 030 | 26 | 2 056 |
| Status | Accuracy | Program |
|---|---|---|
| 81.8% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) | |
| 56.1% | (fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) | |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
| ▶ | 46.5% | (fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)) |
| 81.8% | (fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) | |
| 30.8% | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) #s(literal -1 binary64))) | |
| 17.9% | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64))) | |
| 21.0% | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)))) | |
| 52.3% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) | |
| ▶ | 92.4% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) |
| 89.7% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)) | |
| 40.5% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (sin.f64 y) z)) | |
| 53.9% | #s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) | |
| 54.2% | #s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) | |
| ✓ | 55.1% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
| 35.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) | |
| ✓ | 61.3% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
| 37.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| 37.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) | |
| 39.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| 52.5% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x))) | |
| 47.5% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) | |
| ▶ | 49.6% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) |
| 43.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) | |
| ▶ | 19.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
| ▶ | 37.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
Compiled 702 to 534 computations (23.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)) | |
| cost-diff | 320 | (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)) | |
| cost-diff | 12800 | (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) | |
| cost-diff | 0 | #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)) | |
| cost-diff | 0 | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) | |
| cost-diff | 320 | (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) | |
| cost-diff | 0 | (+.f64 (/.f64 x z) y) | |
| cost-diff | 0 | #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)) | |
| cost-diff | 0 | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) | |
| cost-diff | 832 | (*.f64 (+.f64 (/.f64 x z) y) z) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (+ (* z y) x) (*.f64 z y)) | |
| cost-diff | 0 | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) | |
| cost-diff | 0 | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) | |
| cost-diff | 704 | (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
| 7 590× | lower-fma.f32 |
| 7 582× | lower-fma.f64 |
| 3 116× | lower-*.f32 |
| 3 100× | lower-*.f64 |
| 2 538× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 287 |
| 0 | 78 | 277 |
| 1 | 124 | 271 |
| 2 | 215 | 265 |
| 3 | 470 | 263 |
| 4 | 1020 | 242 |
| 5 | 2897 | 236 |
| 6 | 6520 | 236 |
| 0 | 8224 | 225 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) |
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) |
z |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(cos.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* z y) x) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) |
#s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)) |
(*.f64 (+.f64 (/.f64 x z) y) z) |
(+.f64 (/.f64 x z) y) |
(/.f64 x z) |
x |
z |
y |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(literal 1/24 binary64) |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)) |
(cos.f64 y) |
y |
x |
(*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z) |
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)) |
(log.f64 (sin.f64 y)) |
(sin.f64 y) |
#s(literal 1 binary64) |
z |
| Outputs |
|---|
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) |
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
z |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(cos.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z))) |
#s(approx (+ (* z y) x) (*.f64 z y)) |
#s(approx (+ (* z y) x) (*.f64 y z)) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 y z x))) |
#s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)) |
#s(approx (+ (* z y) x) (fma.f64 y z x)) |
(*.f64 (+.f64 (/.f64 x z) y) z) |
(fma.f64 y z x) |
(+.f64 (/.f64 x z) y) |
(/.f64 x z) |
x |
z |
y |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) y) y #s(literal 1 binary64)) x))) |
#s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)) |
#s(approx (* (cos y) x) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) y) y #s(literal 1 binary64)) x)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) y) y #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) x) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(literal 1/24 binary64) |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(cos.f64 y) |
y |
x |
(*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z) |
(*.f64 (sin.f64 y) z) |
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(sin.f64 y) |
(*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)) |
(log.f64 (sin.f64 y)) |
(log.f64 (sin.f64 y)) |
(sin.f64 y) |
#s(literal 1 binary64) |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01953125 | (fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)) | |
| accuracy | 0.05859375 | (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z) | |
| accuracy | 0.2386829117467912 | (log.f64 (sin.f64 y)) | |
| accuracy | 1.4361586416542198 | (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) | |
| accuracy | 0.02734375 | (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) | |
| accuracy | 2.7041323924380865 | (*.f64 (*.f64 y y) x) | |
| accuracy | 11.682848412062883 | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) | |
| accuracy | 14.050225727218427 | #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)) | |
| accuracy | 0 | (+.f64 (/.f64 x z) y) | |
| accuracy | 0 | #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)) | |
| accuracy | 3.533546575488827 | (*.f64 (+.f64 (/.f64 x z) y) z) | |
| accuracy | 13.769524931804197 | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 13.769524931804197 | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) | |
| accuracy | 14.434386994545374 | #s(approx (+ (* z y) x) (*.f64 z y)) | |
| accuracy | 0 | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) | |
| accuracy | 0.0390625 | (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) | |
| accuracy | 0.0546875 | (/.f64 (sin.f64 y) x) | |
| accuracy | 3.106987121515414 | (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
| 77.0ms | 121× | 0 | valid |
| 71.0ms | 135× | 0 | invalid |
Compiled 211 to 46 computations (78.2% saved)
ival-mult: 65.0ms (55% of total)ival-add: 9.0ms (7.6% of total)const: 8.0ms (6.8% of total)ival-pow: 7.0ms (5.9% of total)ival-sin: 6.0ms (5.1% of total)ival-div: 5.0ms (4.2% of total)ival-cos: 5.0ms (4.2% of total)ival-pow2: 5.0ms (4.2% of total)ival-log: 3.0ms (2.5% of total)ival-exp: 2.0ms (1.7% of total)ival-sub: 1.0ms (0.8% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x) (patch (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (patch (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (/.f64 x z) y) z) (patch (*.f64 (+.f64 (/.f64 x z) y) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)) (patch #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 x z) y) (patch (+.f64 (/.f64 x z) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)) (patch #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) (patch (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) #<representation binary64>) () ()) |
#s(alt (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)) (patch (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)) (patch (fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ()) |
#s(alt (log.f64 (sin.f64 y)) (patch (log.f64 (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z) (patch (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x) (patch (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x) (patch (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x) (patch (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x) (patch (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor 0 z) (#s(alt (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (patch (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos y) (/ (* z (sin y)) x)) (taylor 0 z) (#s(alt (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (patch (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos y) (/ (* z (sin y)) x)) (taylor 0 z) (#s(alt (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (patch (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos y) (/ (* z (sin y)) x)) (taylor 0 z) (#s(alt (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (patch (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (*.f64 (+.f64 (/.f64 x z) y) z) (patch (*.f64 (+.f64 (/.f64 x z) y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt (*.f64 (+.f64 (/.f64 x z) y) z) (patch (*.f64 (+.f64 (/.f64 x z) y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt (*.f64 (+.f64 (/.f64 x z) y) z) (patch (*.f64 (+.f64 (/.f64 x z) y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt (*.f64 (+.f64 (/.f64 x z) y) z) (patch (*.f64 (+.f64 (/.f64 x z) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)) (patch #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)) (patch #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)) (patch #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)) (patch #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (+.f64 (/.f64 x z) y) (patch (+.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* y z)) z) (taylor 0 z) (#s(alt (+.f64 (/.f64 x z) y) (patch (+.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* y z)) z) (taylor 0 z) (#s(alt (+.f64 (/.f64 x z) y) (patch (+.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* y z)) z) (taylor 0 z) (#s(alt (+.f64 (/.f64 x z) y) (patch (+.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)) (patch #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)) (patch #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)) (patch #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (+.f64 (/.f64 x z) y) (patch (+.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) (/ 1 z)))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x z) y) (patch (+.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) (/ 1 z)))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x z) y) (patch (+.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) (/ 1 z)))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x z) y) (patch (+.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1/2 (* -1/24 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1/2 (* -1/24 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1/2 (* -1/24 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1/2 (* -1/24 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)) (patch #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)) (patch #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)) (patch #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)) (patch #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) (patch (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) (patch (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) (patch (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) (patch (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)) (patch (fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)) (patch (fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)) (patch (fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)) (patch (fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 54.0ms | y | @ | inf | ((* (+ (* z (/ (sin y) x)) (cos y)) x) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* z (/ (sin y) x)) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (* (+ (/ x z) y) z) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (/ x z) y) (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (+ (* (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (* y y)) x) (exp (* (log (sin y)) 1)) (* (log (sin y)) 1) (+ (* (cos y) x) (* (exp (* (log (sin y)) 1)) z)) (cos y) (* (* y y) x) (log (sin y)) (* (exp (* (log (sin y)) 1)) z)) |
| 36.0ms | z | @ | -inf | ((* (+ (* z (/ (sin y) x)) (cos y)) x) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* z (/ (sin y) x)) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (* (+ (/ x z) y) z) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (/ x z) y) (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (+ (* (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (* y y)) x) (exp (* (log (sin y)) 1)) (* (log (sin y)) 1) (+ (* (cos y) x) (* (exp (* (log (sin y)) 1)) z)) (cos y) (* (* y y) x) (log (sin y)) (* (exp (* (log (sin y)) 1)) z)) |
| 20.0ms | y | @ | -inf | ((* (+ (* z (/ (sin y) x)) (cos y)) x) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* z (/ (sin y) x)) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (* (+ (/ x z) y) z) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (/ x z) y) (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (+ (* (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (* y y)) x) (exp (* (log (sin y)) 1)) (* (log (sin y)) 1) (+ (* (cos y) x) (* (exp (* (log (sin y)) 1)) z)) (cos y) (* (* y y) x) (log (sin y)) (* (exp (* (log (sin y)) 1)) z)) |
| 13.0ms | x | @ | 0 | ((* (+ (* z (/ (sin y) x)) (cos y)) x) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* z (/ (sin y) x)) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (* (+ (/ x z) y) z) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (/ x z) y) (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (+ (* (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (* y y)) x) (exp (* (log (sin y)) 1)) (* (log (sin y)) 1) (+ (* (cos y) x) (* (exp (* (log (sin y)) 1)) z)) (cos y) (* (* y y) x) (log (sin y)) (* (exp (* (log (sin y)) 1)) z)) |
| 5.0ms | x | @ | -inf | ((* (+ (* z (/ (sin y) x)) (cos y)) x) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* z (/ (sin y) x)) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (* (+ (/ x z) y) z) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (/ x z) y) (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (+ (* (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (* y y)) x) (exp (* (log (sin y)) 1)) (* (log (sin y)) 1) (+ (* (cos y) x) (* (exp (* (log (sin y)) 1)) z)) (cos y) (* (* y y) x) (log (sin y)) (* (exp (* (log (sin y)) 1)) z)) |
| 1× | egg-herbie |
| 12 746× | lower-fma.f64 |
| 12 746× | lower-fma.f32 |
| 4 814× | lower-*.f64 |
| 4 814× | lower-*.f32 |
| 2 600× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 263 | 4398 |
| 1 | 834 | 4319 |
| 2 | 2400 | 4260 |
| 3 | 5862 | 4236 |
| 0 | 8442 | 3839 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
x |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
x |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
x |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
(/ x z) |
(/ (+ x (* y z)) z) |
(/ (+ x (* y z)) z) |
(/ (+ x (* y z)) z) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(/ (* z (sin y)) x) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* y z) |
(* z (+ y (/ x z))) |
(* z (+ y (/ x z))) |
(* z (+ y (/ x z))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* z (+ y (/ x z))) |
(* z (+ y (/ x z))) |
(* z (+ y (/ x z))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* y z) |
(* z (+ y (/ x z))) |
(* z (+ y (/ x z))) |
(* z (+ y (/ x z))) |
y |
(+ y (/ x z)) |
(+ y (/ x z)) |
(+ y (/ x z)) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(/ (* z (sin y)) x) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* y z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* y z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
y |
(+ y (/ x z)) |
(+ y (/ x z)) |
(+ y (/ x z)) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
x |
(+ x (* y z)) |
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z)))) |
(+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1 (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) x)) (+ (* -1/2 z) (* 1/6 z)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z)))) |
1 |
(+ 1 (/ (* y z) x)) |
(+ 1 (* y (+ (* -1/2 y) (/ z x)))) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x)))) |
(/ y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
x |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
x |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
x |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
(/ x z) |
(+ y (/ x z)) |
(+ y (/ x z)) |
(+ y (/ x z)) |
(* -1/2 x) |
(+ (* -1/2 x) (* 1/24 (* x (pow y 2)))) |
(+ (* -1/2 x) (* 1/24 (* x (pow y 2)))) |
(+ (* -1/2 x) (* 1/24 (* x (pow y 2)))) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
x |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
x |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
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)))) |
(log y) |
(+ (log y) (* -1/6 (pow y 2))) |
(+ (log y) (* (pow y 2) (- (* -1/180 (pow y 2)) 1/6))) |
(+ (log y) (* (pow y 2) (- (* (pow y 2) (- (* -1/2835 (pow y 2)) 1/180)) 1/6))) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(log y) |
(+ (log y) (* -1/6 (pow y 2))) |
(+ (log y) (* (pow y 2) (- (* -1/180 (pow y 2)) 1/6))) |
(+ (log y) (* (pow y 2) (- (* (pow y 2) (- (* -1/2835 (pow y 2)) 1/180)) 1/6))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* y z) |
(* y (+ z (/ x y))) |
(* y (+ z (/ x y))) |
(* y (+ z (/ x y))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y (+ z (/ x y))) |
(* y (+ z (/ x y))) |
(* y (+ z (/ x y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* y z) |
(* y (+ z (/ x y))) |
(* y (+ z (/ x y))) |
(* y (+ z (/ x y))) |
y |
(* y (+ 1 (/ x (* y z)))) |
(* y (+ 1 (/ x (* y z)))) |
(* y (+ 1 (/ x (* y z)))) |
(* 1/24 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 (/ x (pow y 2))) (* 1/24 x))) |
(* (pow y 2) (+ (* -1/2 (/ x (pow y 2))) (* 1/24 x))) |
(* (pow y 2) (+ (* -1/2 (/ x (pow y 2))) (* 1/24 x))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* 1/24 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (* 1/24 x))) |
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (+ (* 1/24 x) (/ x (pow y 4))))) |
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (+ (* 1/24 x) (/ x (pow y 4))))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(log (sin y)) |
(log (sin y)) |
(log (sin y)) |
(log (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(log (sin y)) |
(log (sin y)) |
(log (sin y)) |
(log (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* y z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* y z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
y |
(* -1 (* y (- (* -1 (/ x (* y z))) 1))) |
(* -1 (* y (- (* -1 (/ x (* y z))) 1))) |
(* -1 (* y (- (* -1 (/ x (* y z))) 1))) |
(* 1/24 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 (/ x (pow y 2))) (* 1/24 x))) |
(* (pow y 2) (+ (* -1/2 (/ x (pow y 2))) (* 1/24 x))) |
(* (pow y 2) (+ (* -1/2 (/ x (pow y 2))) (* 1/24 x))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* 1/24 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (* 1/24 x))) |
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (+ (* 1/24 x) (/ x (pow y 4))))) |
(* (pow y 4) (+ (* -1/2 (/ x (pow y 2))) (+ (* 1/24 x) (/ x (pow y 4))))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(log (sin y)) |
(log (sin y)) |
(log (sin y)) |
(log (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(log (sin y)) |
(log (sin y)) |
(log (sin y)) |
(log (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(/ (* z (sin y)) x) |
(/ (+ (* x (cos y)) (* z (sin y))) x) |
(/ (+ (* x (cos y)) (* z (sin y))) x) |
(/ (+ (* x (cos y)) (* z (sin y))) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* y z) |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
(* y z) |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* y z) |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
y |
(+ y (/ x z)) |
(+ y (/ x z)) |
(+ y (/ x z)) |
(* x (- (* 1/24 (pow y 2)) 1/2)) |
(* x (- (* 1/24 (pow y 2)) 1/2)) |
(* x (- (* 1/24 (pow y 2)) 1/2)) |
(* x (- (* 1/24 (pow y 2)) 1/2)) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (/ (* y z) x))) |
x |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (/ (* y z) x))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (/ (* y z) x))) |
(/ x z) |
(* x (+ (/ 1 z) (/ y x))) |
(* x (+ (/ 1 z) (/ y x))) |
(* x (+ (/ 1 z) (/ y x))) |
(* x (- (* 1/24 (pow y 2)) 1/2)) |
(* x (- (* 1/24 (pow y 2)) 1/2)) |
(* x (- (* 1/24 (pow y 2)) 1/2)) |
(* x (- (* 1/24 (pow y 2)) 1/2)) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
x |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
x |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(/ x z) |
(* -1 (* x (- (* -1 (/ y x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ y x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ y x)) (/ 1 z)))) |
(* -1 (* x (+ 1/2 (* -1/24 (pow y 2))))) |
(* -1 (* x (+ 1/2 (* -1/24 (pow y 2))))) |
(* -1 (* x (+ 1/2 (* -1/24 (pow y 2))))) |
(* -1 (* x (+ 1/2 (* -1/24 (pow y 2))))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* -1 (* x (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1))) |
(* -1 (* x (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1))) |
(* -1 (* x (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1))) |
(* -1 (* x (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
| Outputs |
|---|
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (/ (* z (sin y)) x)) |
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(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
| 7 380× | lower-fma.f32 |
| 7 372× | lower-fma.f64 |
| 4 406× | lower-*.f32 |
| 4 390× | lower-*.f64 |
| 3 440× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 256 |
| 0 | 78 | 248 |
| 1 | 283 | 219 |
| 2 | 1924 | 219 |
| 0 | 8346 | 215 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) |
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) |
(/.f64 (sin.f64 y) x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* z y) x) (*.f64 z y)) |
(*.f64 z y) |
(*.f64 (+.f64 (/.f64 x z) y) z) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) |
#s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)) |
(+.f64 (/.f64 x z) y) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) |
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)) |
(fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)) |
(cos.f64 y) |
(*.f64 (*.f64 y y) x) |
(log.f64 (sin.f64 y)) |
(*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z) |
| Outputs |
|---|
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Compiled 17 168 to 1 756 computations (89.8% saved)
31 alts after pruning (27 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 954 | 17 | 971 |
| Fresh | 8 | 10 | 18 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 966 | 31 | 997 |
| Status | Accuracy | Program |
|---|---|---|
| 81.8% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) | |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
| 34.3% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)) | |
| 30.8% | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) #s(literal -1 binary64))) | |
| 21.0% | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)))) | |
| 52.3% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))) | |
| 78.1% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y)))) | |
| 92.3% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 z (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (cos.f64 y)) x)) | |
| 87.6% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x)) | |
| ▶ | 87.5% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) x)) |
| 69.7% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x)) | |
| ▶ | 92.4% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x)) |
| 89.7% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)) | |
| 80.3% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y)) #s(literal -1 binary64))) x)) | |
| 40.5% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (sin.f64 y) z)) | |
| ▶ | 52.3% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x)) |
| ▶ | 33.1% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x)) |
| ▶ | 39.2% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) |
| 54.2% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* z (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))) | |
| 53.9% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* z (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))) | |
| ✓ | 55.1% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
| 35.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) | |
| ✓ | 61.3% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
| 37.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| 37.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) | |
| 52.5% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x))) | |
| 43.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) | |
| 33.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 #s(approx (+ (/ x z) y) (/.f64 x z)) z))) | |
| ✓ | 19.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
| 37.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) | |
| 37.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 #s(approx (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64))) (*.f64 y y) x))) |
Compiled 817 to 632 computations (22.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) | |
| cost-diff | 0 | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) x)) | |
| cost-diff | 704 | (*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) x) | |
| cost-diff | 6080 | (*.f64 (pow.f64 x #s(literal -1 binary64)) z) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 y) z) x) | |
| cost-diff | 0 | #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x) | |
| cost-diff | 0 | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x)) | |
| cost-diff | 0 | (fma.f64 (/.f64 y x) z #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x) | |
| cost-diff | 0 | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x)) | |
| cost-diff | 0 | #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) | |
| cost-diff | 0 | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) | |
| cost-diff | 704 | (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x) |
| 6 472× | lower-fma.f32 |
| 6 466× | lower-fma.f64 |
| 3 362× | lower-*.f32 |
| 3 350× | lower-*.f64 |
| 2 858× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 418 |
| 0 | 70 | 418 |
| 1 | 112 | 390 |
| 2 | 187 | 378 |
| 3 | 420 | 364 |
| 4 | 917 | 294 |
| 5 | 2829 | 294 |
| 6 | 7328 | 294 |
| 0 | 8521 | 285 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x)) |
(*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x) |
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) |
z |
(/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) |
#s(literal 1 binary64) |
(/.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(cos.f64 y) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x) |
#s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x)) |
(*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x) |
#s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) |
(fma.f64 (/.f64 y x) z #s(literal 1 binary64)) |
(/.f64 y x) |
y |
x |
z |
#s(literal 1 binary64) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x)) |
(*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x) |
#s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
x |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) x)) |
(*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) x) |
(fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) |
(sin.f64 y) |
y |
(*.f64 (pow.f64 x #s(literal -1 binary64)) z) |
(pow.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
z |
(cos.f64 y) |
| Outputs |
|---|
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) |
(*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
z |
(/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) |
(/.f64 (sin.f64 y) x) |
#s(literal 1 binary64) |
(/.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(cos.f64 y) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x) |
#s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x)) |
(*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x) |
#s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) |
(fma.f64 (/.f64 y x) z #s(literal 1 binary64)) |
(/.f64 y x) |
y |
x |
z |
#s(literal 1 binary64) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) z)) x)) |
(*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x) |
(*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) z)) x) |
#s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) |
#s(approx (+ (* z (/ (sin y) x)) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) z)) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(*.f64 (/.f64 (sin.f64 y) x) z) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
x |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) |
(*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) x) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(sin.f64 y) |
y |
(*.f64 (pow.f64 x #s(literal -1 binary64)) z) |
(/.f64 z x) |
(pow.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
z |
(cos.f64 y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) x)) | |
| accuracy | 0.234375 | (*.f64 (pow.f64 x #s(literal -1 binary64)) z) | |
| accuracy | 3.1459090262122174 | (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) | |
| accuracy | 4.8144073753424035 | (*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) x) | |
| accuracy | 0.09765625 | (*.f64 (sin.f64 y) z) | |
| accuracy | 2.2858250103376063 | (/.f64 (*.f64 (sin.f64 y) z) x) | |
| accuracy | 4.8144073753424035 | (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x) | |
| accuracy | 37.968068840182546 | #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) | |
| accuracy | 0 | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x)) | |
| accuracy | 2.610918357376044 | (fma.f64 (/.f64 y x) z #s(literal 1 binary64)) | |
| accuracy | 4.8144073753424035 | (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x) | |
| accuracy | 26.37096024742446 | #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) | |
| accuracy | 0 | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) | |
| accuracy | 4.8144073753424035 | (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x) | |
| accuracy | 38.95999123921925 | #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) | |
| accuracy | 0.0859375 | (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) | |
| accuracy | 0.1171875 | (/.f64 x (sin.f64 y)) | |
| accuracy | 0.6176106979731844 | (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) | |
| accuracy | 4.8144073753424035 | (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x) |
| 103.0ms | 256× | 0 | valid |
Compiled 315 to 38 computations (87.9% saved)
ival-mult: 17.0ms (24.9% of total)ival-pow: 15.0ms (21.9% of total)ival-div: 11.0ms (16.1% of total)ival-add: 6.0ms (8.8% of total)ival-sin: 6.0ms (8.8% of total)ival-cos: 5.0ms (7.3% of total)ival-pow2: 5.0ms (7.3% of total)ival-sub: 1.0ms (1.5% of total)ival-neg: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x) (patch (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) (patch (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) (patch #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x)) (patch #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x) (patch (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) (patch #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 y x) z #s(literal 1 binary64)) (patch (fma.f64 (/.f64 y x) z #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x) (patch (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) (patch #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (sin.f64 y) z) x) (patch (/.f64 (*.f64 (sin.f64 y) z) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (patch (*.f64 (pow.f64 x #s(literal -1 binary64)) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) x) (patch (*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) (patch (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (sin.f64 y)) (patch (/.f64 x (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 y) z) (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x) (patch (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x) (patch (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x) (patch (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x) (patch (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x)) #<representation binary64>) () ())) ()) |
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#s(alt (cos y) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) (patch (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos y) (/ (* z (sin y)) x)) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) (patch (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos y) (/ (* z (sin y)) x)) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) (patch (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos y) (/ (* z (sin y)) x)) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) (patch (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) 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 | |
|---|---|---|---|---|
| 43.0ms | x | @ | 0 | ((* (+ (* z (/ 1 (/ x (sin y)))) (cos y)) x) (/ 1 (/ x (sin y))) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* z (/ 1 (/ x (sin y)))) (cos y)) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* z (/ (sin y) x)) (cos y)) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* z (/ (sin y) x)) (cos y)) (+ (* (/ y x) z) 1) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* z (/ (sin y) x)) (cos y)) (/ (* (sin y) z) x) (* (pow x -1) z) (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* (sin y) (* (pow x -1) z)) (cos y)) (/ x (sin y)) (* (sin y) z)) |
| 26.0ms | x | @ | -inf | ((* (+ (* z (/ 1 (/ x (sin y)))) (cos y)) x) (/ 1 (/ x (sin y))) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* z (/ 1 (/ x (sin y)))) (cos y)) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* z (/ (sin y) x)) (cos y)) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* z (/ (sin y) x)) (cos y)) (+ (* (/ y x) z) 1) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* z (/ (sin y) x)) (cos y)) (/ (* (sin y) z) x) (* (pow x -1) z) (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* (sin y) (* (pow x -1) z)) (cos y)) (/ x (sin y)) (* (sin y) z)) |
| 22.0ms | x | @ | inf | ((* (+ (* z (/ 1 (/ x (sin y)))) (cos y)) x) (/ 1 (/ x (sin y))) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* z (/ 1 (/ x (sin y)))) (cos y)) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* z (/ (sin y) x)) (cos y)) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* z (/ (sin y) x)) (cos y)) (+ (* (/ y x) z) 1) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* z (/ (sin y) x)) (cos y)) (/ (* (sin y) z) x) (* (pow x -1) z) (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* (sin y) (* (pow x -1) z)) (cos y)) (/ x (sin y)) (* (sin y) z)) |
| 3.0ms | y | @ | -inf | ((* (+ (* z (/ 1 (/ x (sin y)))) (cos y)) x) (/ 1 (/ x (sin y))) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* z (/ 1 (/ x (sin y)))) (cos y)) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* z (/ (sin y) x)) (cos y)) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* z (/ (sin y) x)) (cos y)) (+ (* (/ y x) z) 1) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* z (/ (sin y) x)) (cos y)) (/ (* (sin y) z) x) (* (pow x -1) z) (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* (sin y) (* (pow x -1) z)) (cos y)) (/ x (sin y)) (* (sin y) z)) |
| 3.0ms | y | @ | inf | ((* (+ (* z (/ 1 (/ x (sin y)))) (cos y)) x) (/ 1 (/ x (sin y))) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* z (/ 1 (/ x (sin y)))) (cos y)) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* z (/ (sin y) x)) (cos y)) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* z (/ (sin y) x)) (cos y)) (+ (* (/ y x) z) 1) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* z (/ (sin y) x)) (cos y)) (/ (* (sin y) z) x) (* (pow x -1) z) (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* (sin y) (* (pow x -1) z)) (cos y)) (/ x (sin y)) (* (sin y) z)) |
| 1× | egg-herbie |
| 12 316× | lower-fma.f64 |
| 12 316× | lower-fma.f32 |
| 4 866× | lower-*.f64 |
| 4 866× | lower-*.f32 |
| 2 336× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 209 | 6490 |
| 1 | 680 | 6404 |
| 2 | 2122 | 6293 |
| 3 | 5604 | 6172 |
| 0 | 8286 | 5677 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
1 |
(+ 1 (/ (* y z) x)) |
(+ 1 (/ (* y z) x)) |
(+ 1 (/ (* y z) x)) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(/ (* z (sin y)) x) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(/ (* z (sin y)) x) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(/ (* z (sin y)) x) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(/ (* y z) x) |
(* z (+ (/ 1 z) (/ y x))) |
(* z (+ (/ 1 z) (/ y x))) |
(* z (+ (/ 1 z) (/ y x))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(/ (* z (sin y)) x) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(/ (* z (sin y)) x) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(/ (* z (sin y)) x) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(/ (* z (sin y)) x) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(/ (* z (sin y)) x) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(/ (* y z) x) |
(* -1 (* z (- (* -1 (/ y x)) (/ 1 z)))) |
(* -1 (* z (- (* -1 (/ y x)) (/ 1 z)))) |
(* -1 (* z (- (* -1 (/ y x)) (/ 1 z)))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(/ (* z (sin y)) x) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(/ (* z (sin y)) x) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(/ y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
x |
(+ x (* y z)) |
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z)))) |
(+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1 (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) x)) (+ (* -1/2 z) (* 1/6 z)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z)))) |
1 |
(+ 1 (/ (* y z) x)) |
(+ 1 (* y (+ (* -1/2 y) (/ z x)))) |
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(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
1 |
(+ 1 (/ (* y z) x)) |
(+ 1 (/ (* y z) x)) |
(+ 1 (/ (* y z) x)) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(/ x (sin y)) |
(/ x (sin y)) |
(/ x (sin y)) |
(/ x (sin y)) |
| Outputs |
|---|
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ (* y z) x)) |
(fma.f64 (/.f64 y x) z #s(literal 1 binary64)) |
(+ 1 (/ (* y z) x)) |
(fma.f64 (/.f64 y x) z #s(literal 1 binary64)) |
(+ 1 (/ (* y z) x)) |
(fma.f64 (/.f64 y x) z #s(literal 1 binary64)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(/ (* y z) x) |
(*.f64 (/.f64 y x) z) |
(* z (+ (/ 1 z) (/ y x))) |
(fma.f64 (/.f64 y x) z #s(literal 1 binary64)) |
(* z (+ (/ 1 z) (/ y x))) |
(fma.f64 (/.f64 y x) z #s(literal 1 binary64)) |
(* z (+ (/ 1 z) (/ y x))) |
(fma.f64 (/.f64 y x) z #s(literal 1 binary64)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(/ (* z (sin y)) x) |
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(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(/ x (sin y)) |
(/.f64 x (sin.f64 y)) |
(/ x (sin y)) |
(/.f64 x (sin.f64 y)) |
(/ x (sin y)) |
(/.f64 x (sin.f64 y)) |
(/ x (sin y)) |
(/.f64 x (sin.f64 y)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ (* y z) x)) |
(fma.f64 (/.f64 y x) z #s(literal 1 binary64)) |
(+ 1 (/ (* y z) x)) |
(fma.f64 (/.f64 y x) z #s(literal 1 binary64)) |
(+ 1 (/ (* y z) x)) |
(fma.f64 (/.f64 y x) z #s(literal 1 binary64)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(/ x (sin y)) |
(/.f64 x (sin.f64 y)) |
(/ x (sin y)) |
(/.f64 x (sin.f64 y)) |
(/ x (sin y)) |
(/.f64 x (sin.f64 y)) |
(/ x (sin y)) |
(/.f64 x (sin.f64 y)) |
| 6 882× | lower-fma.f32 |
| 6 876× | lower-fma.f64 |
| 4 476× | lower-*.f32 |
| 4 464× | lower-*.f64 |
| 3 764× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 385 |
| 0 | 70 | 362 |
| 1 | 254 | 335 |
| 2 | 1381 | 265 |
| 0 | 8523 | 260 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x)) |
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x) |
#s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x)) |
(*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x) |
#s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) |
(fma.f64 (/.f64 y x) z #s(literal 1 binary64)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x)) |
(*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x) |
#s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) z) |
(*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) x) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) x)) |
(fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) |
(/.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
| Outputs |
|---|
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Compiled 16 850 to 1 653 computations (90.2% saved)
34 alts after pruning (29 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 103 | 16 | 1 119 |
| Fresh | 9 | 13 | 22 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 116 | 34 | 1 150 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
| 34.3% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)) | |
| 30.8% | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) #s(literal -1 binary64))) | |
| 21.0% | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)))) | |
| 52.3% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))) | |
| 92.3% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))))) | |
| 89.7% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)) | |
| 78.1% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (pow.f64 (-.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y)) #s(literal -1 binary64)))) | |
| 80.3% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)))) x)) | |
| 40.5% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (sin.f64 y) z)) | |
| 52.4% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (*.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) x)) | |
| 29.2% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (sin.f64 y) (/.f64 x z))) x)) | |
| 16.9% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) z) (*.f64 y y) z) y)) x)) x)) | |
| 16.5% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) z) y)) x)) x)) | |
| 16.6% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 z y)) x)) x)) | |
| 33.1% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 z (/.f64 x (sin.f64 y)))) x)) | |
| 33.0% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 y)) z))) x)) | |
| 32.9% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (*.f64 (/.f64 z (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) x))) x)) | |
| 28.2% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (*.f64 (/.f64 z x) (sin.f64 y))) x)) | |
| 17.2% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (*.f64 (*.f64 (*.f64 (sin.f64 y) z) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))) x)) | |
| 16.4% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(approx (/ (* (sin y) z) x) (*.f64 (/.f64 y x) z))) x)) | |
| ✓ | 39.2% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) |
| 54.2% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))) | |
| 53.9% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))) | |
| ✓ | 55.1% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
| 35.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) | |
| ✓ | 61.3% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
| 37.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| 37.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) | |
| 43.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) | |
| 33.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 #s(approx (+ (/ x z) y) (/.f64 x z)) z))) | |
| ✓ | 19.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
| 37.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) | |
| 37.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 #s(approx (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64))) (*.f64 y y) x))) |
Compiled 1 500 to 665 computations (55.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 #s(approx (+ (/ x z) y) (/.f64 x z)) z))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* z (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(approx (/ (* (sin y) z) x) (*.f64 (/.f64 y x) z))) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 z y)) x)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 #s(approx (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64))) (*.f64 y y) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* z (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (*.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) z) y)) x)) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) z) (*.f64 y y) z) y)) x)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (sin.f64 y) z)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (*.f64 (/.f64 z x) (sin.f64 y))) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 z (/.f64 x (sin.f64 y)))) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (sin.f64 y) (/.f64 x z))) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 y)) z))) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (*.f64 (/.f64 z (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) x))) x)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y)) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (sin.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) z) (cos.f64 y)) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (*.f64 (*.f64 (*.f64 (sin.f64 y) z) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))) x)) |
(fma.f64 (cos.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) |
(fma.f64 (cos.f64 y) x (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) z)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 z (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (cos.f64 y)) x)) |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)))) |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y)))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)))) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (pow.f64 (-.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y)) #s(literal -1 binary64)))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y)) #s(literal -1 binary64))) x)) |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
4 calls:
| 50.0ms | y |
| 29.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 19.0ms | z |
| 19.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 #s(approx (+ (/ x z) y) (/.f64 x z)) z))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* z (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(approx (/ (* (sin y) z) x) (*.f64 (/.f64 y x) z))) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 z y)) x)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 #s(approx (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64))) (*.f64 y y) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* z (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (*.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) z) y)) x)) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) z) (*.f64 y y) z) y)) x)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (sin.f64 y) z)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (*.f64 (/.f64 z x) (sin.f64 y))) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 z (/.f64 x (sin.f64 y)))) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (sin.f64 y) (/.f64 x z))) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 y)) z))) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (*.f64 (/.f64 z (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) x))) x)) |
| Outputs |
|---|
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
4 calls:
| 31.0ms | x |
| 22.0ms | z |
| 11.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.0% | 3 | x |
| 82.8% | 5 | y |
| 84.9% | 4 | z |
| 74.5% | 2 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 #s(approx (+ (/ x z) y) (/.f64 x z)) z))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* z (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(approx (/ (* (sin y) z) x) (*.f64 (/.f64 y x) z))) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 z y)) x)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 #s(approx (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64))) (*.f64 y y) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* z (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (*.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) z) y)) x)) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) z) (*.f64 y y) z) y)) x)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (sin.f64 y) z)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (*.f64 (/.f64 z x) (sin.f64 y))) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x)) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
3 calls:
| 27.0ms | x |
| 10.0ms | y |
| 10.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.8% | 5 | y |
| 77.7% | 3 | x |
| 77.3% | 3 | z |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 #s(approx (+ (/ x z) y) (/.f64 x z)) z))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* z (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(approx (/ (* (sin y) z) x) (*.f64 (/.f64 y x) z))) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 z y)) x)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 #s(approx (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64))) (*.f64 y y) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* z (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (*.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) z) y)) x)) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) z) (*.f64 y y) z) y)) x)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
1 calls:
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.2% | 3 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 #s(approx (+ (/ x z) y) (/.f64 x z)) z))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (/ (+ (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (+ (* (- (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* z (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(approx (/ (* (sin y) z) x) (*.f64 (/.f64 y x) z))) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 z y)) x)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 #s(approx (+ (* (* (* y y) x) 1/24) (* -1/2 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64))) (*.f64 y y) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* z (/ (sin y) x)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (sin y) (* (pow x -1) z)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 (*.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) z) y)) x)) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) z) (*.f64 y y) z) y)) x)) x)) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
4 calls:
| 11.0ms | x |
| 9.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 8.0ms | z |
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.1% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 55.1% | 1 | z |
| 55.1% | 1 | x |
| 55.1% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
4 calls:
| 2.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.5% | 2 | z |
| 45.1% | 3 | x |
| 39.2% | 1 | y |
| 39.2% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
4 calls:
| 187.0ms | y |
| 1.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | z |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 19.2% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 19.2% | 1 | y |
| 19.2% | 1 | x |
| 19.2% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 40.0ms | 3.5640609947839067e+210 | 8.016539881809755e+211 |
| 16.0ms | 2.835358674494914e-118 | 5.507577148917324e-114 |
| 15.0ms | -1.4949328568645516e-77 | -2.5480489971327272e-79 |
| 57.0ms | 352× | 0 | valid |
Compiled 364 to 410 computations (-12.6% saved)
ival-sin: 33.0ms (69.1% of total)ival-cos: 8.0ms (16.8% of total)ival-mult: 5.0ms (10.5% of total)ival-add: 2.0ms (4.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 2.204165274072289e+46 | 2.035829072374667e+49 |
| 27.0ms | 9.008226899007368e-24 | 2.010068753454109e-17 |
| 23.0ms | -2.5329051108644894e+22 | -0.6247674050564954 |
| 22.0ms | -1.1801999814002038e+125 | -8.49869696152484e+120 |
| 68.0ms | 576× | 0 | valid |
Compiled 572 to 618 computations (-8% saved)
ival-cos: 16.0ms (38.6% of total)ival-sin: 14.0ms (33.8% of total)ival-mult: 8.0ms (19.3% of total)ival-add: 3.0ms (7.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 5.378079872519207e+35 | 7.439904517318026e+40 |
| 1.0ms | -2.5329051108644894e+22 | -0.6247674050564954 |
| 22.0ms | 144× | 0 | valid |
Compiled 412 to 394 computations (4.4% saved)
ival-cos: 5.0ms (41.1% of total)ival-sin: 4.0ms (32.8% of total)ival-mult: 2.0ms (16.4% of total)ival-add: 1.0ms (8.2% 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 |
|---|---|---|
| 18.0ms | 1.6618856668771316e+197 | 9.179122188013102e+203 |
| 13.0ms | 144× | 0 | valid |
Compiled 102 to 149 computations (-46.1% saved)
ival-cos: 3.0ms (33% of total)ival-sin: 3.0ms (33% of total)ival-mult: 2.0ms (22% of total)ival-add: 1.0ms (11% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 12× | *-commutative-binary64-*.f64 |
| 2× | 1-exp-binary32-exp.f32 |
| 2× | 1-exp-binary64-exp.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 358 |
| 1 | 87 | 358 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(if (<=.f64 z #s(literal -7822218149124427/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x)) (if (<=.f64 z #s(literal 6931674235302037/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 z #s(literal 53999999999999998108117647339352158979572959631654177918948342441663359659474391090197410120661245556482578665748280371018691253265989886440553287095976979320316021824875734793570546070902379635919091742539776000 binary64)) #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))))) |
(if (<=.f64 y #s(literal -700000000000000028432152238992263791968350198116514367468506117894741479384593636483425812087963657123686485164079127199744 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal -3152519739159347/4503599627370496 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 6490371073168535/324518553658426726783156020576256 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) (if (<=.f64 y #s(literal 65000000000000000821738837564785785656487968768 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)))))) |
(if (<=.f64 y #s(literal -3152519739159347/4503599627370496 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 540000000000000005198269871208529920 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(if (<=.f64 z #s(literal 719999999999999951013582760788984941914726182841223291792172979218462840924449467985551371638250185204677973415272527091777707591630753103658710207721516462903946942831615449516347989032270513330716672 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
(if (<=.f64 z #s(literal -7822218149124427/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x)) (if (<=.f64 z #s(literal 6931674235302037/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 z #s(literal 53999999999999998108117647339352158979572959631654177918948342441663359659474391090197410120661245556482578665748280371018691253265989886440553287095976979320316021824875734793570546070902379635919091742539776000 binary64)) #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))))) |
(if (<=.f64 z #s(literal -7822218149124427/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x)) (if (<=.f64 z #s(literal 6931674235302037/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 z #s(literal 53999999999999998108117647339352158979572959631654177918948342441663359659474391090197410120661245556482578665748280371018691253265989886440553287095976979320316021824875734793570546070902379635919091742539776000 binary64)) #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))))) |
(if (<=.f64 y #s(literal -700000000000000028432152238992263791968350198116514367468506117894741479384593636483425812087963657123686485164079127199744 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal -3152519739159347/4503599627370496 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 6490371073168535/324518553658426726783156020576256 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) (if (<=.f64 y #s(literal 65000000000000000821738837564785785656487968768 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)))))) |
(if (<=.f64 y #s(literal -700000000000000028432152238992263791968350198116514367468506117894741479384593636483425812087963657123686485164079127199744 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal -3152519739159347/4503599627370496 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 6490371073168535/324518553658426726783156020576256 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) (if (<=.f64 y #s(literal 65000000000000000821738837564785785656487968768 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))))) |
(if (<=.f64 y #s(literal -3152519739159347/4503599627370496 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 540000000000000005198269871208529920 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)))) |
(if (<=.f64 y #s(literal -3152519739159347/4503599627370496 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 540000000000000005198269871208529920 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(if (<=.f64 z #s(literal 719999999999999951013582760788984941914726182841223291792172979218462840924449467985551371638250185204677973415272527091777707591630753103658710207721516462903946942831615449516347989032270513330716672 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
| 14 080× | lower-fma.f64 |
| 14 080× | lower-fma.f32 |
| 12 746× | lower-fma.f64 |
| 12 746× | lower-fma.f32 |
| 11 480× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 620 |
| 1 | 295 | 616 |
| 2 | 891 | 610 |
| 3 | 2076 | 604 |
| 4 | 3745 | 604 |
| 5 | 6377 | 604 |
| 0 | 8794 | 554 |
| 0 | 263 | 4398 |
| 1 | 834 | 4319 |
| 2 | 2400 | 4260 |
| 3 | 5862 | 4236 |
| 0 | 8442 | 3839 |
| 0 | 750 | 7679 |
| 1 | 2589 | 7256 |
| 0 | 8377 | 6909 |
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 29 | 19 |
| 2 | 185 | 19 |
| 3 | 1836 | 19 |
| 0 | 8386 | 18 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 282 to 168 computations (40.4% saved)
Compiled 338 to 132 computations (60.9% saved)
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