
Time bar (total: 9.5s)
| 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)
| 1.4s | 8 256× | 0 | valid |
ival-sin: 311.0ms (30.1% of total)ival-cos: 270.0ms (26.2% of total)ival-mult: 239.0ms (23.2% of total)ival-add: 202.0ms (19.6% of total)ival-true: 7.0ms (0.7% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | (*.f64 z (cos.f64 y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x (sin.f64 y)) |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 54.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-mult: 11.0ms (31.8% of total)ival-sin: 11.0ms (31.8% of total)ival-cos: 10.0ms (28.9% of total)ival-add: 2.0ms (5.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 87 |
| 1 | 79 | 81 |
| 2 | 139 | 81 |
| 3 | 307 | 81 |
| 4 | 458 | 81 |
| 5 | 693 | 81 |
| 6 | 871 | 81 |
| 7 | 957 | 81 |
| 8 | 1038 | 81 |
| 9 | 1104 | 81 |
| 10 | 1118 | 81 |
| 11 | 1123 | 81 |
| 12 | 1125 | 81 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 16 | 9 |
| 0 | 16 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (cos.f64 y)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 x (sin.f64 y)) | |
| cost-diff | 128 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 16 | 24 |
| 0 | 16 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
| Outputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
z |
(cos.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.00390625 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) | |
| accuracy | 0.09375 | (*.f64 x (sin.f64 y)) | |
| accuracy | 0.12890625 | (*.f64 z (cos.f64 y)) |
| 27.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-sin: 8.0ms (41.2% of total)ival-cos: 6.0ms (30.9% of total)ival-mult: 4.0ms (20.6% of total)ival-add: 1.0ms (5.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* y (+ x (* -1/2 (* y z))))) (taylor 0 y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) (taylor 0 y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1/6 (* x (pow y 2))))) (taylor 0 y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) (taylor 0 y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) (taylor 0 y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1/2 (* (pow y 2) z))) (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (pow y 2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | z | @ | 0 | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | y | @ | inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | x | @ | 0 | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | y | @ | 0 | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 682 |
| 1 | 344 | 678 |
| 2 | 981 | 668 |
| 3 | 2637 | 662 |
| 4 | 4654 | 662 |
| 5 | 6949 | 662 |
| 0 | 8182 | 606 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
| Outputs |
|---|
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
z |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y x)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(*.f64 z (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(*.f64 z (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 29 | 21 |
| 2 | 185 | 21 |
| 3 | 1836 | 21 |
| 0 | 8391 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
| Outputs |
|---|
#<batchref> |
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Compiled 8 420 to 573 computations (93.2% saved)
18 alts after pruning (18 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 264 | 18 | 282 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 265 | 18 | 283 |
| Status | Accuracy | Program |
|---|---|---|
| 67.5% | (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) | |
| ▶ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| 41.5% | (/.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) #s(literal -1 binary64))) | |
| ▶ | 60.7% | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
| 45.4% | (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))))) | |
| 99.6% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) | |
| ▶ | 30.3% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
| 60.2% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64))))) | |
| 76.6% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| 19.3% | (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))))) | |
| 29.5% | (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))) | |
| 61.5% | (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) | |
| 41.5% | (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) | |
| 56.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| 56.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) | |
| ▶ | 57.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| ▶ | 40.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
| 61.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
Compiled 988 to 510 computations (48.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) | |
| cost-diff | 0 | (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) | |
| cost-diff | 40320 | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) x) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) | |
| cost-diff | 0 | (fma.f64 y x z) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 (cos.f64 y) z) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 346 |
| 0 | 58 | 325 |
| 1 | 86 | 325 |
| 2 | 154 | 323 |
| 3 | 390 | 323 |
| 4 | 1087 | 323 |
| 5 | 4080 | 323 |
| 0 | 8205 | 323 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(sin.f64 y) |
y |
x |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(fma.f64 y x z) |
y |
x |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(neg.f64 z) |
z |
(cos.f64 y) |
y |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
#s(literal -1 binary64) |
(pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
#s(literal 1 binary64) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
#s(literal 2 binary64) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64)) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(neg.f64 z) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(sin.f64 y) |
y |
x |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z)) |
(fma.f64 y x z) |
(fma.f64 x y z) |
y |
x |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
y |
x |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) |
(neg.f64 z) |
z |
(cos.f64 y) |
y |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
x |
#s(literal -1 binary64) |
(pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
y |
z |
#s(literal 2 binary64) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
x |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) |
(-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) |
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64)) |
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) |
(neg.f64 z) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.258476269536884 | (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) | |
| accuracy | 4.042950172471853 | (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) | |
| accuracy | 6.953786556028642 | (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) | |
| accuracy | 36.8062643605 | (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) | |
| accuracy | 0.258476269536884 | (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) | |
| accuracy | 1.0010194327031483 | (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) | |
| accuracy | 1.4023354933208232 | (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) | |
| accuracy | 23.897321659666737 | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.09375 | (*.f64 (sin.f64 y) x) | |
| accuracy | 38.35978762295846 | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) | |
| accuracy | 0 | (fma.f64 y x z) | |
| accuracy | 27.34457224403923 | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.04296875 | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) | |
| accuracy | 0.12890625 | (*.f64 (cos.f64 y) z) |
| 155.0ms | 256× | 0 | valid |
Compiled 347 to 35 computations (89.9% saved)
ival-pow: 27.0ms (33.1% of total)ival-div: 13.0ms (15.9% of total)ival-mult: 9.0ms (11% of total)ival-pow2: 8.0ms (9.8% of total)ival-sin: 6.0ms (7.4% of total)ival-add: 5.0ms (6.1% of total)ival-cos: 5.0ms (6.1% of total)ival-sub: 4.0ms (4.9% of total)exact: 1.0ms (1.2% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (patch (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (patch (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (sin y))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | x | @ | 0 | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (neg z) (/ 1 (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x))))) (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (* (cos y) z) 2) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (pow (* (sin y) x) 2) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4))) |
| 12.0ms | y | @ | 0 | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (neg z) (/ 1 (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x))))) (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (* (cos y) z) 2) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (pow (* (sin y) x) 2) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4))) |
| 10.0ms | z | @ | 0 | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (neg z) (/ 1 (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x))))) (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (* (cos y) z) 2) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (pow (* (sin y) x) 2) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4))) |
| 8.0ms | y | @ | inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (neg z) (/ 1 (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x))))) (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (* (cos y) z) 2) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (pow (* (sin y) x) 2) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4))) |
| 8.0ms | y | @ | -inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (neg z) (/ 1 (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x))))) (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (* (cos y) z) 2) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (pow (* (sin y) x) 2) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1014 | 10665 |
| 1 | 3516 | 10178 |
| 0 | 8337 | 9786 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x y) |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(/ 1 (* x (sin y))) |
(+ (/ 1 (* x (sin y))) (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))) |
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))) |
(* x (sin y)) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(+ (* x (sin y)) (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (+ (/ (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y))))) (* x (sin y))) (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2))))))) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(/ 1 (* x (sin y))) |
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) |
(+ (* z (+ (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))) (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))))) (/ 1 (* x (sin y)))) |
(+ (* z (+ (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3))))))) (/ 1 (* x (sin y)))) |
(* (pow x 2) (pow (sin y) 2)) |
(+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(* (pow z 2) (pow (cos y) 2)) |
(* (pow z 2) (pow (cos y) 2)) |
(* (pow z 2) (pow (cos y) 2)) |
(* (pow z 2) (pow (cos y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2))) |
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2))) |
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2))) |
(/ 1 (* (pow x 2) (pow (sin y) 2))) |
(+ (/ 1 (* (pow x 2) (pow (sin y) 2))) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 4) (pow (sin y) 4)))) |
(+ (* (pow z 2) (- (/ (* (pow z 2) (pow (cos y) 4)) (* (pow x 6) (pow (sin y) 6))) (* -1 (/ (pow (cos y) 2) (* (pow x 4) (pow (sin y) 4)))))) (/ 1 (* (pow x 2) (pow (sin y) 2)))) |
(+ (* (pow z 2) (- (* (pow z 2) (- (/ (* (pow z 2) (pow (cos y) 6)) (* (pow x 8) (pow (sin y) 8))) (* -1 (/ (pow (cos y) 4) (* (pow x 6) (pow (sin y) 6)))))) (* -1 (/ (pow (cos y) 2) (* (pow x 4) (pow (sin y) 4)))))) (/ 1 (* (pow x 2) (pow (sin y) 2)))) |
(* (pow x 3) (pow (sin y) 3)) |
(+ (* (pow x 2) (* z (* (cos y) (pow (sin y) 2)))) (* (pow x 3) (pow (sin y) 3))) |
(+ (* z (- (* x (* z (* (pow (cos y) 2) (sin y)))) (* -1 (* (pow x 2) (* (cos y) (pow (sin y) 2)))))) (* (pow x 3) (pow (sin y) 3))) |
(+ (* z (- (* z (- (* z (pow (cos y) 3)) (* -1 (* x (* (pow (cos y) 2) (sin y)))))) (* -1 (* (pow x 2) (* (cos y) (pow (sin y) 2)))))) (* (pow x 3) (pow (sin y) 3))) |
(* (pow x 4) (pow (sin y) 4)) |
(+ (* -1 (* (pow z 4) (pow (cos y) 4))) (* (pow x 4) (pow (sin y) 4))) |
(+ (* -1 (* (pow z 4) (pow (cos y) 4))) (* (pow x 4) (pow (sin y) 4))) |
(+ (* -1 (* (pow z 4) (pow (cos y) 4))) (* (pow x 4) (pow (sin y) 4))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
z |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(/ -1 (* z (cos y))) |
(/ (- (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z) |
(/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z) |
(/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (+ (/ 1 (cos y)) (+ (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))) z) |
(* -1 (* z (cos y))) |
(* z (+ (* -1 (cos y)) (/ (* x (sin y)) z))) |
(* z (+ (* -1 (cos y)) (/ (* x (sin y)) z))) |
(* z (+ (* -1 (cos y)) (/ (* x (sin y)) z))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (pow z 2)))) (* -1 (/ (* x (sin y)) z)))) |
(* z (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2))) (+ (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (cos y)) (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2)))) (pow z 3)))) (+ (* -1 (/ (* x (sin y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))))) |
(/ 1 (* z (cos y))) |
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z) |
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))) z) |
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))) z) |
(* (pow z 2) (pow (cos y) 2)) |
(* (pow z 2) (+ (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(* (pow z 2) (+ (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(* (pow z 2) (+ (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(* (pow z 2) (pow (cos y) 2)) |
(* (pow z 2) (pow (cos y) 2)) |
(* (pow z 2) (pow (cos y) 2)) |
(* (pow z 2) (pow (cos y) 2)) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(/ -1 (* (pow z 2) (pow (cos y) 2))) |
(/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4)))) (/ 1 (pow (cos y) 2))) (pow z 2)) |
(/ (- (* -1 (/ (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 6)))) (+ (/ 1 (pow (cos y) 2)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4))))) (pow z 2)) |
(/ (- (* -1 (/ (* (pow x 6) (pow (sin y) 6)) (* (pow z 6) (pow (cos y) 8)))) (+ (/ 1 (pow (cos y) 2)) (+ (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4))) (/ (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 6)))))) (pow z 2)) |
(* (pow z 3) (pow (cos y) 3)) |
(* (pow z 3) (+ (/ (* x (* (pow (cos y) 2) (sin y))) z) (pow (cos y) 3))) |
(* (pow z 3) (- (+ (/ (* (pow x 2) (* (cos y) (pow (sin y) 2))) (pow z 2)) (pow (cos y) 3)) (* -1 (/ (* x (* (pow (cos y) 2) (sin y))) z)))) |
(* (pow z 3) (- (+ (/ (* (pow x 3) (pow (sin y) 3)) (pow z 3)) (pow (cos y) 3)) (+ (* -1 (/ (* x (* (pow (cos y) 2) (sin y))) z)) (* -1 (/ (* (pow x 2) (* (cos y) (pow (sin y) 2))) (pow z 2)))))) |
(* -1 (* (pow z 4) (pow (cos y) 4))) |
(* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4))) |
(* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4))) |
(* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
z |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(/ -1 (* z (cos y))) |
(* -1 (/ (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(* -1 (* z (cos y))) |
(* -1 (* z (+ (cos y) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (cos y) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (cos y) (* -1 (/ (* x (sin y)) z))))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) (* -1 (* x (sin y)))) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (* z (cos y)))) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2)))) (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y)))) z)) (* -1 (* x (sin y)))) z))))) |
(/ 1 (* z (cos y))) |
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* x (sin y)) (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3)))) z)) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* x (sin y)) (pow (cos y) 2))) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4)))) z))) z)) (/ 1 (cos y))) z)) |
(* (pow z 2) (pow (cos y) 2)) |
(* (pow z 2) (+ (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(* (pow z 2) (+ (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(* (pow z 2) (+ (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(* (pow z 2) (pow (cos y) 2)) |
(* (pow z 2) (pow (cos y) 2)) |
(* (pow z 2) (pow (cos y) 2)) |
(* (pow z 2) (pow (cos y) 2)) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(/ -1 (* (pow z 2) (pow (cos y) 2))) |
(/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4)))) (/ 1 (pow (cos y) 2))) (pow z 2)) |
(/ (- (* -1 (/ (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 6)))) (+ (/ 1 (pow (cos y) 2)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4))))) (pow z 2)) |
(/ (- (* -1 (/ (* (pow x 6) (pow (sin y) 6)) (* (pow z 6) (pow (cos y) 8)))) (+ (/ 1 (pow (cos y) 2)) (+ (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4))) (/ (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 6)))))) (pow z 2)) |
(* (pow z 3) (pow (cos y) 3)) |
(* -1 (* (pow z 3) (+ (* -1 (/ (* x (* (pow (cos y) 2) (sin y))) z)) (* -1 (pow (cos y) 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (- (/ (* (pow x 2) (* (cos y) (pow (sin y) 2))) z) (* -1 (* x (* (pow (cos y) 2) (sin y))))) z)) (* -1 (pow (cos y) 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) z)) (* (pow x 2) (* (cos y) (pow (sin y) 2)))) z)) (* -1 (* x (* (pow (cos y) 2) (sin y))))) z)) (* -1 (pow (cos y) 3))))) |
(* -1 (* (pow z 4) (pow (cos y) 4))) |
(* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4))) |
(* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4))) |
(* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
z |
(+ z (* x y)) |
(+ z (* y (- (* y (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x)))) |
(+ z (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) z)) (+ (* -1/2 x) (* 1/6 x))))) (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z))) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x)))) |
(/ -1 z) |
(- (* -1 (/ (* x y) (pow z 2))) (/ 1 z)) |
(- (* y (- (* -1 (* y (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)) |
(- (* y (- (* y (- (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3)))) z))))) (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)) |
(* -1 z) |
(+ (* -1 z) (* x y)) |
(+ (* -1 z) (* y (+ x (* 1/2 (* y z))))) |
(+ (* -1 z) (* y (+ x (* y (+ (* -1/6 (* x y)) (* 1/2 z)))))) |
z |
(+ z (* x y)) |
(+ z (* y (- (* y (- (* -2 z) (+ (* -1 (/ (+ (* -1 (* z (+ (* -1 (pow z 2)) (pow x 2)))) (* 1/2 (pow z 3))) (pow z 2))) (* -1 (/ (pow x 2) z))))) (* -1 x)))) |
(+ z (* y (- (* y (- (+ (* -2 z) (* -1 (* y (+ (* -1 (/ (* x (+ (* -1 (* z (+ (* -1 (pow z 2)) (pow x 2)))) (* 1/2 (pow z 3)))) (pow z 3))) (+ (* -1 (/ (* x (- (* -2 z) (+ (* -1 (/ (+ (* -1 (* z (+ (* -1 (pow z 2)) (pow x 2)))) (* 1/2 (pow z 3))) (pow z 2))) (* -1 (/ (pow x 2) z))))) z)) (* -1 (/ (+ (* -1/6 (* x (pow z 2))) (* x (+ (* -1 (pow z 2)) (pow x 2)))) (pow z 2)))))))) (+ (* -1 (/ (+ (* -1 (* z (+ (* -1 (pow z 2)) (pow x 2)))) (* 1/2 (pow z 3))) (pow z 2))) (* -1 (/ (pow x 2) z))))) (* -1 x)))) |
(/ 1 z) |
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z)) |
(+ (* y (+ (* -1 (/ x (pow z 2))) (* y (+ (* -1 (/ (+ (* -1 (* z (+ (* -1 (pow z 2)) (pow x 2)))) (* 1/2 (pow z 3))) (pow z 4))) (* 2 (/ 1 z)))))) (/ 1 z)) |
(+ (* y (+ (* -1 (/ x (pow z 2))) (* y (+ (* -1 (/ (+ (* -1 (* z (+ (* -1 (pow z 2)) (pow x 2)))) (* 1/2 (pow z 3))) (pow z 4))) (+ (* 2 (/ 1 z)) (* y (- (* -1 (/ (+ (* -1/6 (* x (pow z 2))) (* x (+ (* -1 (pow z 2)) (pow x 2)))) (pow z 4))) (* 2 (/ x (pow z 2)))))))))) (/ 1 z)) |
(pow z 2) |
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (pow x 2))) (pow z 2)) |
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 1/3 (pow z 2)))) (pow x 2)))) (pow z 2)) |
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (+ (* 1/3 (pow z 2)) (* (pow y 2) (+ (* -2/45 (pow z 2)) (* 2/45 (pow x 2))))))) (pow x 2)))) (pow z 2)) |
(pow z 2) |
(+ (* -1 (* (pow y 2) (pow z 2))) (pow z 2)) |
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2))))) (pow z 2)) |
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2)))))) (pow z 2)) |
(* -1 (pow z 2)) |
(- (* (pow y 2) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2)) |
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow x 2)) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2)) |
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow x 2)) (* (pow y 2) (- (* 2/45 (pow x 2)) (* -2/45 (pow z 2))))) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2)) |
(/ -1 (pow z 2)) |
(- (* -1 (* (pow y 2) (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))))) (/ 1 (pow z 2))) |
(- (* (pow y 2) (- (* (pow y 2) (- (* 1/3 (/ 1 (pow z 2))) (+ (* -1/3 (/ (pow x 2) (pow z 4))) (/ (* (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2))))) (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))))) (/ 1 (pow z 2))) |
(- (* (pow y 2) (- (* (pow y 2) (- (+ (* -1 (* (pow y 2) (+ (* -1 (/ (* (- (* 1/3 (/ 1 (pow z 2))) (+ (* -1/3 (/ (pow x 2) (pow z 4))) (/ (* (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2)))) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2))) (+ (* 2/45 (/ 1 (pow z 2))) (+ (* 2/45 (/ (pow x 2) (pow z 4))) (/ (* (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))) (- (* -1/3 (pow x 2)) (* 1/3 (pow z 2)))) (pow z 2))))))) (* 1/3 (/ 1 (pow z 2)))) (+ (* -1/3 (/ (pow x 2) (pow z 4))) (/ (* (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2))))) (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))))) (/ 1 (pow z 2))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2))) |
(pow z 3) |
(+ (* x (* y (pow z 2))) (pow z 3)) |
(+ (* y (- (* y (- (* -2 (pow z 3)) (+ (* -1 (* (pow x 2) z)) (* -1/2 (pow z 3))))) (* -1 (* x (pow z 2))))) (pow z 3)) |
(+ (* y (- (* y (- (+ (* -2 (pow z 3)) (* -1 (* y (+ (* -1 (/ (* x (- (* -2 (pow z 3)) (+ (* -1 (* (pow x 2) z)) (* -1/2 (pow z 3))))) z)) (+ (* -1/2 (* x (pow z 2))) (* 1/6 (* x (pow z 2)))))))) (+ (* -1 (* (pow x 2) z)) (* -1/2 (pow z 3))))) (* -1 (* x (pow z 2))))) (pow z 3)) |
(* -1 (pow z 4)) |
(- (* 2 (* (pow y 2) (pow z 4))) (pow z 4)) |
(- (* (pow y 2) (- (* (pow y 2) (- (pow x 4) (* 5/3 (pow z 4)))) (* -2 (pow z 4)))) (pow z 4)) |
(- (* (pow y 2) (- (* (pow y 2) (- (+ (* (pow y 2) (- (* -2/3 (pow x 4)) (* -34/45 (pow z 4)))) (pow x 4)) (* 5/3 (pow z 4)))) (* -2 (pow z 4)))) (pow z 4)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x y) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ 1 (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ 1 (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ 1 (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ 1 (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))))) |
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))))) |
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))))) |
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))))) |
(/ (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))) |
(/ (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))) |
(/ (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))) |
(/ (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))) |
(+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(* (pow z 2) (pow (cos y) 2)) |
(* (pow z 2) (pow (cos y) 2)) |
(* (pow z 2) (pow (cos y) 2)) |
(* (pow z 2) (pow (cos y) 2)) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(/ 1 (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) |
(/ 1 (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) |
(/ 1 (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) |
(/ 1 (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) |
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) |
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) |
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ 1 (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ 1 (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ 1 (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ 1 (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))))) |
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))))) |
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))))) |
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))))) |
(/ (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))) |
(/ (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))) |
(/ (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))) |
(/ (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))) |
(+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(* (pow z 2) (pow (cos y) 2)) |
(* (pow z 2) (pow (cos y) 2)) |
(* (pow z 2) (pow (cos y) 2)) |
(* (pow z 2) (pow (cos y) 2)) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(/ 1 (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) |
(/ 1 (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) |
(/ 1 (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) |
(/ 1 (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) |
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) |
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) |
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(/ -1 (* z (cos y))) |
(- (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y)))) |
(- (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3)))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))) |
(- (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))) |
(* -1 (* z (cos y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y)))))) (* -1 (sin y)))) (* z (cos y))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2)))) (+ (/ (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))) (* z (cos y))) (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2))))))) (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y)))))) (* -1 (sin y)))) (* z (cos y))) |
(/ 1 (* z (cos y))) |
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y)))) |
(+ (* x (+ (* -1 (/ (sin y) (* (pow z 2) (pow (cos y) 2)))) (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))))) (/ 1 (* z (cos y)))) |
(+ (* x (+ (* -1 (/ (sin y) (* (pow z 2) (pow (cos y) 2)))) (* x (+ (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3))))))) (/ 1 (* z (cos y)))) |
(* (pow z 2) (pow (cos y) 2)) |
(+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(/ -1 (* (pow z 2) (pow (cos y) 2))) |
(- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 4) (pow (cos y) 4)))) (/ 1 (* (pow z 2) (pow (cos y) 2)))) |
(- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (pow (sin y) 4)) (* (pow z 6) (pow (cos y) 6)))) (/ (pow (sin y) 2) (* (pow z 4) (pow (cos y) 4))))) (/ 1 (* (pow z 2) (pow (cos y) 2)))) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (pow (sin y) 6)) (* (pow z 8) (pow (cos y) 8)))) (/ (pow (sin y) 4) (* (pow z 6) (pow (cos y) 6))))) (/ (pow (sin y) 2) (* (pow z 4) (pow (cos y) 4))))) (/ 1 (* (pow z 2) (pow (cos y) 2)))) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow z 3) (pow (cos y) 3)) |
(+ (* x (* (pow z 2) (* (pow (cos y) 2) (sin y)))) (* (pow z 3) (pow (cos y) 3))) |
(+ (* x (- (* x (* z (* (cos y) (pow (sin y) 2)))) (* -1 (* (pow z 2) (* (pow (cos y) 2) (sin y)))))) (* (pow z 3) (pow (cos y) 3))) |
(+ (* x (- (* x (- (* x (pow (sin y) 3)) (* -1 (* z (* (cos y) (pow (sin y) 2)))))) (* -1 (* (pow z 2) (* (pow (cos y) 2) (sin y)))))) (* (pow z 3) (pow (cos y) 3))) |
(* -1 (* (pow z 4) (pow (cos y) 4))) |
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) |
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) |
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x y) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(/ 1 (* x (sin y))) |
(/ (+ (/ 1 (sin y)) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2))))) x) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) x) |
(* x (sin y)) |
(* x (+ (sin y) (* -1 (/ (* z (cos y)) x)))) |
(* x (+ (sin y) (* -1 (/ (* z (cos y)) x)))) |
(* x (+ (sin y) (* -1 (/ (* z (cos y)) x)))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (pow x 2)))) (* -1 (/ (* z (cos y)) x)))) |
(* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (+ (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) (pow x 3)))) (+ (* -1 (/ (* z (cos y)) x)) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y))))))) |
(/ 1 (* x (sin y))) |
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x) |
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3))))) x) |
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) x) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (+ (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2))) |
(* (pow x 2) (+ (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2))) |
(* (pow x 2) (+ (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2))) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(/ 1 (* (pow x 2) (pow (sin y) 2))) |
(/ (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (pow x 2)) |
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4))))) (pow x 2)) |
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 6) (pow (cos y) 6)) (* (pow x 6) (pow (sin y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))))) (pow x 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 3) (pow (sin y) 3)) |
(* (pow x 3) (+ (/ (* z (* (cos y) (pow (sin y) 2))) x) (pow (sin y) 3))) |
(* (pow x 3) (- (+ (/ (* (pow z 2) (* (pow (cos y) 2) (sin y))) (pow x 2)) (pow (sin y) 3)) (* -1 (/ (* z (* (cos y) (pow (sin y) 2))) x)))) |
(* (pow x 3) (- (+ (/ (* (pow z 3) (pow (cos y) 3)) (pow x 3)) (pow (sin y) 3)) (+ (* -1 (/ (* z (* (cos y) (pow (sin y) 2))) x)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (sin y))) (pow x 2)))))) |
(* (pow x 4) (pow (sin y) 4)) |
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4))) |
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4))) |
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(/ 1 (* x (sin y))) |
(* -1 (/ (- (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x)))) |
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x)))) |
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x)))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (* -1 (* z (cos y)))) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (* x (sin y)))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) (* -1 (* z (cos y)))) x))))) |
(/ 1 (* x (sin y))) |
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* z (cos y)) (pow (sin y) 2))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3)))) x)) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* z (cos y)) (pow (sin y) 2))) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) x))) x)) (/ 1 (sin y))) x)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (+ (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2))) |
(* (pow x 2) (+ (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2))) |
(* (pow x 2) (+ (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2))) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(/ 1 (* (pow x 2) (pow (sin y) 2))) |
(/ (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (pow x 2)) |
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4))))) (pow x 2)) |
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 6) (pow (cos y) 6)) (* (pow x 6) (pow (sin y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))))) (pow x 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 3) (pow (sin y) 3)) |
(* -1 (* (pow x 3) (+ (* -1 (/ (* z (* (cos y) (pow (sin y) 2))) x)) (* -1 (pow (sin y) 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (/ (* (pow z 2) (* (pow (cos y) 2) (sin y))) x) (* -1 (* z (* (cos y) (pow (sin y) 2))))) x)) (* -1 (pow (sin y) 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) x)) (* (pow z 2) (* (pow (cos y) 2) (sin y)))) x)) (* -1 (* z (* (cos y) (pow (sin y) 2))))) x)) (* -1 (pow (sin y) 3))))) |
(* (pow x 4) (pow (sin y) 4)) |
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4))) |
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4))) |
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4))) |
| Outputs |
|---|
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x y) |
(*.f64 y x) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(+ (/ 1 (* x (sin y))) (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) |
(fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))) |
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (cos.f64 y) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x)))) z (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) z (/.f64 (cos.f64 y) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x)))) z (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
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(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x)) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* z (cos y)) (pow (sin y) 2))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3)))) x)) (/ 1 (sin y))) x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* z (cos y)) (pow (sin y) 2))) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) x))) x)) (/ 1 (sin y))) x)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) x))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 z z) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (+ (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 z z) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (+ (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 z z) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(/ 1 (* (pow x 2) (pow (sin y) 2))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(/ (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 x x)) |
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4))))) (pow x 2)) |
(/.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 z z) x)) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (*.f64 x x)) |
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 6) (pow (cos y) 6)) (* (pow x 6) (pow (sin y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))))) (pow x 2)) |
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sin.f64 y) #s(literal 8 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 z z) x)) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))))) (*.f64 x x)) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x)) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x)) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x)) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x)) |
(* (pow x 3) (pow (sin y) 3)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (* z (* (cos y) (pow (sin y) 2))) x)) (* -1 (pow (sin y) 3))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 z (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (/ (* (pow z 2) (* (pow (cos y) 2) (sin y))) x) (* -1 (* z (* (cos y) (pow (sin y) 2))))) x)) (* -1 (pow (sin y) 3))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 (fma.f64 (*.f64 z z) (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) x) (*.f64 (*.f64 (cos.f64 y) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) x)) (* (pow z 2) (* (pow (cos y) 2) (sin y)))) x)) (* -1 (* z (* (cos y) (pow (sin y) 2))))) x)) (* -1 (pow (sin y) 3))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 z z)))) x) #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 y) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) |
(* (pow x 4) (pow (sin y) 4)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4))) |
(*.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4))) |
(*.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4))) |
(*.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 266 |
| 0 | 58 | 214 |
| 1 | 241 | 187 |
| 2 | 1562 | 187 |
| 0 | 8506 | 187 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(sin.f64 y) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(fma.f64 y x z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) x) |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(neg.f64 z) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) |
(pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) |
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Compiled 132 316 to 6 580 computations (95% saved)
27 alts after pruning (24 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 886 | 23 | 2 909 |
| Fresh | 12 | 1 | 13 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 900 | 27 | 2 927 |
| Status | Accuracy | Program |
|---|---|---|
| 67.5% | (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) | |
| 56.7% | (fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| 76.6% | (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| 36.6% | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) | |
| 32.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) | |
| 33.4% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)))) | |
| ▶ | 61.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) |
| ▶ | 39.2% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(literal 1 binary64) z))) |
| 51.5% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) | |
| 90.2% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) | |
| ▶ | 93.1% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
| 61.6% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (cos.f64 y) z)) | |
| 56.5% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) | |
| ✓ | 57.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 19.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) | |
| 57.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) | |
| ✓ | 40.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
| 21.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x)) | |
| 22.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x)) | |
| 55.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z))) | |
| 55.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)))) | |
| 48.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) | |
| ▶ | 22.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
| ▶ | 22.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
| 21.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) | |
| 22.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
Compiled 704 to 550 computations (21.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) | |
| cost-diff | 0 | #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) | |
| cost-diff | 0 | #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) | |
| cost-diff | 320 | (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) z) | |
| cost-diff | 0 | #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(literal 1 binary64) z)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(literal 1 binary64) z))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (* y x) z) (*.f64 y x)) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) z) | |
| cost-diff | 0 | (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) | |
| cost-diff | 0 | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) | |
| cost-diff | 704 | (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 531 |
| 0 | 94 | 531 |
| 1 | 151 | 526 |
| 2 | 281 | 518 |
| 3 | 728 | 516 |
| 4 | 1973 | 495 |
| 5 | 4655 | 495 |
| 0 | 8069 | 477 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
x |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (+ (* y x) z) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(literal 1 binary64) z))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
#s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) |
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(literal -1/5040 binary64) |
(*.f64 #s(literal 1/120 binary64) x) |
#s(literal 1/120 binary64) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))) |
(/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) |
(fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) |
(/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
x |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(cos.f64 y) |
y |
#s(literal 2 binary64) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
z |
(/.f64 #s(literal -1 binary64) (cos.f64 y)) |
#s(literal -1 binary64) |
(neg.f64 z) |
| Outputs |
|---|
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) |
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
x |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* y x) z) (*.f64 y x)) |
#s(approx (+ (* y x) z) (*.f64 x y)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(literal 1 binary64) z))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) #s(literal -1/6 binary64)))) (*.f64 x y)))) |
#s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) |
#s(approx (* (sin y) x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) #s(literal -1/6 binary64)))) (*.f64 x y))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) #s(literal -1/6 binary64)))) (*.f64 x y)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) #s(literal -1/6 binary64)))) (*.f64 y y) x) |
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) #s(literal -1/6 binary64)))) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) x) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(literal -1/5040 binary64) |
(*.f64 #s(literal 1/120 binary64) x) |
#s(literal 1/120 binary64) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (sin.f64 y) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))) |
#s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (sin.f64 y) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))) |
(/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) |
(/.f64 (fma.f64 (/.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (sin.f64 y) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) |
(fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) |
(fma.f64 (/.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (sin.f64 y) (/.f64 #s(literal -1 binary64) (cos.f64 y))) |
(/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
x |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(cos.f64 y) |
y |
#s(literal 2 binary64) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
z |
(/.f64 #s(literal -1 binary64) (cos.f64 y)) |
#s(literal -1 binary64) |
(neg.f64 z) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.15625 | (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) | |
| accuracy | 0.185878759768442 | (pow.f64 (cos.f64 y) #s(literal 2 binary64)) | |
| accuracy | 0.24609375 | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) | |
| accuracy | 24.622761748337975 | #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))) | |
| accuracy | 0.33984375 | (*.f64 #s(literal -1/6 binary64) x) | |
| accuracy | 8.572101090242933 | (*.f64 (*.f64 y y) x) | |
| accuracy | 27.902999386918985 | #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) | |
| accuracy | 38.35978762295846 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) z) | |
| accuracy | 0.24609375 | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(literal 1 binary64) z))) | |
| accuracy | 38.65125430853102 | #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(literal 1 binary64) z)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 27.34457224403923 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) | |
| accuracy | 31.85533005251216 | #s(approx (+ (* y x) z) (*.f64 y x)) | |
| accuracy | 0 | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) | |
| accuracy | 0.078125 | (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) | |
| accuracy | 0.11328125 | (/.f64 (sin.f64 y) z) | |
| accuracy | 4.375786620691441 | (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
| 159.0ms | 256× | 0 | valid |
Compiled 420 to 59 computations (86% saved)
ival-mult: 36.0ms (26.8% of total)ival-sin: 17.0ms (12.7% of total)ival-pow: 16.0ms (11.9% of total)const: 15.0ms (11.2% of total)ival-div: 14.0ms (10.4% of total)ival-cos: 12.0ms (8.9% of total)ival-add: 10.0ms (7.4% of total)ival-pow2: 7.0ms (5.2% of total)ival-sub: 4.0ms (3% of total)ival-neg: 2.0ms (1.5% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) (patch (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) (patch (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 y) z) (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* y x) z) (*.f64 y x)) (patch #s(approx (+ (* y x) z) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(literal 1 binary64) z))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(literal 1 binary64) z)) (patch #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (patch (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) (patch #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))) (patch #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) (patch (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (patch (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/6 binary64) x) (patch (*.f64 #s(literal -1/6 binary64) x) #<representation binary64>) () ()) |
#s(alt (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) (patch (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) (patch (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) (patch (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) (patch (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) z) (taylor 0 z) (#s(alt (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) (patch (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (/ (sin y) (* (pow z 2) (pow (cos y) 2))) (/ 1 (* x (* z (cos y))))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) (patch (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1 (/ (sin y) (* z (pow (cos y) 2)))) (/ 1 (* x (cos y)))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (patch (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) #<representation binary64>) () ())) ()) |
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#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>) () ())) ()) |
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#s(alt (* -1/6 x) (taylor -inf x) (#s(alt (*.f64 #s(literal -1/6 binary64) x) (patch (*.f64 #s(literal -1/6 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor -inf x) (#s(alt (*.f64 #s(literal -1/6 binary64) x) (patch (*.f64 #s(literal -1/6 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor -inf x) (#s(alt (*.f64 #s(literal -1/6 binary64) x) (patch (*.f64 #s(literal -1/6 binary64) x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | x | @ | inf | ((* (+ (* x (/ (sin y) z)) (cos y)) z) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* x (/ (sin y) z)) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (/ 1 (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x))))) (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/ 1 z) (+ (* (* (* y y) x) -1/5040) (* 1/120 x)) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (+ (* (+ (* (+ (* (* (* y y) x) -1/5040) (* 1/120 x)) (* y y)) (* -1/6 x)) (* y y)) x) (/ 1 (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x))))) (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/ (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (neg z)) (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (* (* y y) x) (* -1/6 x) (pow (cos y) 2)) |
| 34.0ms | y | @ | inf | ((* (+ (* x (/ (sin y) z)) (cos y)) z) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* x (/ (sin y) z)) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (/ 1 (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x))))) (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/ 1 z) (+ (* (* (* y y) x) -1/5040) (* 1/120 x)) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (+ (* (+ (* (+ (* (* (* y y) x) -1/5040) (* 1/120 x)) (* y y)) (* -1/6 x)) (* y y)) x) (/ 1 (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x))))) (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/ (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (neg z)) (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (* (* y y) x) (* -1/6 x) (pow (cos y) 2)) |
| 19.0ms | z | @ | inf | ((* (+ (* x (/ (sin y) z)) (cos y)) z) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* x (/ (sin y) z)) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (/ 1 (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x))))) (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/ 1 z) (+ (* (* (* y y) x) -1/5040) (* 1/120 x)) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (+ (* (+ (* (+ (* (* (* y y) x) -1/5040) (* 1/120 x)) (* y y)) (* -1/6 x)) (* y y)) x) (/ 1 (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x))))) (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/ (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (neg z)) (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (* (* y y) x) (* -1/6 x) (pow (cos y) 2)) |
| 8.0ms | y | @ | -inf | ((* (+ (* x (/ (sin y) z)) (cos y)) z) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* x (/ (sin y) z)) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (/ 1 (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x))))) (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/ 1 z) (+ (* (* (* y y) x) -1/5040) (* 1/120 x)) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (+ (* (+ (* (+ (* (* (* y y) x) -1/5040) (* 1/120 x)) (* y y)) (* -1/6 x)) (* y y)) x) (/ 1 (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x))))) (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/ (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (neg z)) (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (* (* y y) x) (* -1/6 x) (pow (cos y) 2)) |
| 6.0ms | x | @ | -inf | ((* (+ (* x (/ (sin y) z)) (cos y)) z) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* x (/ (sin y) z)) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (/ 1 (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x))))) (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/ 1 z) (+ (* (* (* y y) x) -1/5040) (* 1/120 x)) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (+ (* (+ (* (+ (* (* (* y y) x) -1/5040) (* 1/120 x)) (* y y)) (* -1/6 x)) (* y y)) x) (/ 1 (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x))))) (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/ (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (neg z)) (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (* (* y y) x) (* -1/6 x) (pow (cos y) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 611 | 9407 |
| 1 | 2150 | 8711 |
| 0 | 8161 | 8277 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(/ (* x (sin y)) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x y) |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(+ (* x (sin y)) (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (+ (/ (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y))))) (* x (sin y))) (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2))))))) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(/ 1 (* x (sin y))) |
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) |
(+ (* z (+ (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))) (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))))) (/ 1 (* x (sin y)))) |
(+ (* z (+ (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3))))))) (/ 1 (* x (sin y)))) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(+ (* x (sin y)) (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (+ (/ (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y))))) (* x (sin y))) (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2))))))) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(/ 1 (* x (sin y))) |
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) |
(+ (* z (+ (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))) (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))))) (/ 1 (* x (sin y)))) |
(+ (* z (+ (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3))))))) (/ 1 (* x (sin y)))) |
(* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) |
(/ (+ (* -1 (/ (* x (sin y)) (pow (cos y) 2))) (/ z (cos y))) (pow z 2)) |
(/ (+ (* -1 (/ (* x (sin y)) (pow (cos y) 2))) (/ z (cos y))) (pow z 2)) |
(/ (+ (* -1 (/ (* x (sin y)) (pow (cos y) 2))) (/ z (cos y))) (pow z 2)) |
(/ (* x (sin y)) (* z (pow (cos y) 2))) |
(/ (+ (* -1 (/ z (cos y))) (/ (* x (sin y)) (pow (cos y) 2))) z) |
(/ (+ (* -1 (/ z (cos y))) (/ (* x (sin y)) (pow (cos y) 2))) z) |
(/ (+ (* -1 (/ z (cos y))) (/ (* x (sin y)) (pow (cos y) 2))) z) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(cos y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
z |
(* z (+ 1 (/ (* x y) z))) |
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(* z (+ 1 (/ (* x y) z))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
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(* z (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2))) (+ (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (cos y)) (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2)))) (pow z 3)))) (+ (* -1 (/ (* x (sin y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))))) |
(/ 1 (* z (cos y))) |
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z) |
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))) z) |
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))) z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
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(* z (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2))) (+ (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (cos y)) (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2)))) (pow z 3)))) (+ (* -1 (/ (* x (sin y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))))) |
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(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))) z) |
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))) z) |
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(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z) |
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z) |
(/ -1 (cos y)) |
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(- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) |
(* z (cos y)) |
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(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
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(* z (cos y)) |
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(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(cos y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(* z (cos y)) |
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(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
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z |
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(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) (* -1 (* x (sin y)))) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (* z (cos y)))) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2)))) (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y)))) z)) (* -1 (* x (sin y)))) z))))) |
(/ 1 (* z (cos y))) |
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* x (sin y)) (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3)))) z)) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* x (sin y)) (pow (cos y) 2))) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4)))) z))) z)) (/ 1 (cos y))) z)) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
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(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) (* -1 (* x (sin y)))) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (* z (cos y)))) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2)))) (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y)))) z)) (* -1 (* x (sin y)))) z))))) |
(/ 1 (* z (cos y))) |
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* x (sin y)) (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3)))) z)) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* x (sin y)) (pow (cos y) 2))) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4)))) z))) z)) (/ 1 (cos y))) z)) |
(/ 1 (* z (cos y))) |
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z)) |
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z)) |
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z)) |
(/ -1 (cos y)) |
(- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) |
(- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) |
(- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
z |
(+ z (* x y)) |
(+ z (* y (- (* y (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x)))) |
(+ z (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) z)) (+ (* -1/2 x) (* 1/6 x))))) (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z))) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x)))) |
1 |
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(+ 1 (* y (+ (* -1/2 y) (/ x z)))) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z)))) |
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(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
z |
(+ z (* x y)) |
(+ z (* y (- (* y (- (* -2 z) (+ (* -1 (/ (+ (* -1 (* z (+ (* -1 (pow z 2)) (pow x 2)))) (* 1/2 (pow z 3))) (pow z 2))) (* -1 (/ (pow x 2) z))))) (* -1 x)))) |
(+ z (* y (- (* y (- (+ (* -2 z) (* -1 (* y (+ (* -1 (/ (* x (+ (* -1 (* z (+ (* -1 (pow z 2)) (pow x 2)))) (* 1/2 (pow z 3)))) (pow z 3))) (+ (* -1 (/ (* x (- (* -2 z) (+ (* -1 (/ (+ (* -1 (* z (+ (* -1 (pow z 2)) (pow x 2)))) (* 1/2 (pow z 3))) (pow z 2))) (* -1 (/ (pow x 2) z))))) z)) (* -1 (/ (+ (* -1/6 (* x (pow z 2))) (* x (+ (* -1 (pow z 2)) (pow x 2)))) (pow z 2)))))))) (+ (* -1 (/ (+ (* -1 (* z (+ (* -1 (pow z 2)) (pow x 2)))) (* 1/2 (pow z 3))) (pow z 2))) (* -1 (/ (pow x 2) z))))) (* -1 x)))) |
(/ 1 z) |
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z)) |
(+ (* y (+ (* -1 (/ x (pow z 2))) (* y (+ (* -1 (/ (+ (* -1 (* z (+ (* -1 (pow z 2)) (pow x 2)))) (* 1/2 (pow z 3))) (pow z 4))) (* 2 (/ 1 z)))))) (/ 1 z)) |
(+ (* y (+ (* -1 (/ x (pow z 2))) (* y (+ (* -1 (/ (+ (* -1 (* z (+ (* -1 (pow z 2)) (pow x 2)))) (* 1/2 (pow z 3))) (pow z 4))) (+ (* 2 (/ 1 z)) (* y (- (* -1 (/ (+ (* -1/6 (* x (pow z 2))) (* x (+ (* -1 (pow z 2)) (pow x 2)))) (pow z 4))) (* 2 (/ x (pow z 2)))))))))) (/ 1 z)) |
(* 1/120 x) |
(+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)) |
(+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)) |
(+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
z |
(+ z (* x y)) |
(+ z (* y (- (* y (- (* -2 z) (+ (* -1 (/ (+ (* -1 (* z (+ (* -1 (pow z 2)) (pow x 2)))) (* 1/2 (pow z 3))) (pow z 2))) (* -1 (/ (pow x 2) z))))) (* -1 x)))) |
(+ z (* y (- (* y (- (+ (* -2 z) (* -1 (* y (+ (* -1 (/ (* x (+ (* -1 (* z (+ (* -1 (pow z 2)) (pow x 2)))) (* 1/2 (pow z 3)))) (pow z 3))) (+ (* -1 (/ (* x (- (* -2 z) (+ (* -1 (/ (+ (* -1 (* z (+ (* -1 (pow z 2)) (pow x 2)))) (* 1/2 (pow z 3))) (pow z 2))) (* -1 (/ (pow x 2) z))))) z)) (* -1 (/ (+ (* -1/6 (* x (pow z 2))) (* x (+ (* -1 (pow z 2)) (pow x 2)))) (pow z 2)))))))) (+ (* -1 (/ (+ (* -1 (* z (+ (* -1 (pow z 2)) (pow x 2)))) (* 1/2 (pow z 3))) (pow z 2))) (* -1 (/ (pow x 2) z))))) (* -1 x)))) |
(/ 1 z) |
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z)) |
(+ (* y (+ (* -1 (/ x (pow z 2))) (* y (+ (* -1 (/ (+ (* -1 (* z (+ (* -1 (pow z 2)) (pow x 2)))) (* 1/2 (pow z 3))) (pow z 4))) (* 2 (/ 1 z)))))) (/ 1 z)) |
(+ (* y (+ (* -1 (/ x (pow z 2))) (* y (+ (* -1 (/ (+ (* -1 (* z (+ (* -1 (pow z 2)) (pow x 2)))) (* 1/2 (pow z 3))) (pow z 4))) (+ (* 2 (/ 1 z)) (* y (- (* -1 (/ (+ (* -1/6 (* x (pow z 2))) (* x (+ (* -1 (pow z 2)) (pow x 2)))) (pow z 4))) (* 2 (/ x (pow z 2)))))))))) (/ 1 z)) |
(/ 1 z) |
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z)) |
(+ (* y (+ (* -1 (/ x (pow z 2))) (* 1/2 (/ y z)))) (/ 1 z)) |
(+ (* y (+ (* -1 (/ x (pow z 2))) (* y (+ (* -1 (* y (- (* -1/6 (/ x (pow z 2))) (* -1 (/ x (pow z 2)))))) (* 1/2 (/ 1 z)))))) (/ 1 z)) |
-1 |
(- (/ (* x y) z) 1) |
(- (* y (+ (* -1/2 y) (/ x z))) 1) |
(- (* y (+ (* y (- (* y (- (* -1/6 (/ x z)) (* -1 (/ x z)))) 1/2)) (/ x z))) 1) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
1 |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x y) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))))) |
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))))) |
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))))) |
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))))) |
(/ (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))) |
(/ (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))) |
(/ (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))) |
(/ (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))) |
(* -1/5040 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(* (pow y 2) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(* (pow y 2) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* -1/5040 (* x (pow y 6))) |
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6)))))) |
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))))) |
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))))) |
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))))) |
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))))) |
(/ (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))) |
(/ (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))) |
(/ (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))) |
(/ (* (+ (* -1 (* z (cos y))) (* x (sin y))) (+ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))) |
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z)) |
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z)) |
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z)) |
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z)) |
(- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) |
(- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) |
(- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) |
(- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
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(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* z (cos y)) (pow (sin y) 2))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3)))) x)) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* z (cos y)) (pow (sin y) 2))) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) x))) x)) (/ 1 (sin y))) x)) |
(* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) |
(* -1 (* x (- (/ (sin y) (* (pow z 2) (pow (cos y) 2))) (/ 1 (* x (* z (cos y))))))) |
(* -1 (* x (- (/ (sin y) (* (pow z 2) (pow (cos y) 2))) (/ 1 (* x (* z (cos y))))))) |
(* -1 (* x (- (/ (sin y) (* (pow z 2) (pow (cos y) 2))) (/ 1 (* x (* z (cos y))))))) |
(/ (* x (sin y)) (* z (pow (cos y) 2))) |
(* -1 (* x (+ (* -1 (/ (sin y) (* z (pow (cos y) 2)))) (/ 1 (* x (cos y)))))) |
(* -1 (* x (+ (* -1 (/ (sin y) (* z (pow (cos y) 2)))) (/ 1 (* x (cos y)))))) |
(* -1 (* x (+ (* -1 (/ (sin y) (* z (pow (cos y) 2)))) (/ 1 (* x (cos y)))))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
| Outputs |
|---|
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(/ (* x (sin y)) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x y) |
(*.f64 y x) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) z (cos.f64 y)) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (+ (/ (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y))))) (* x (sin y))) (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2))))))) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (-.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))) #s(literal 0 binary64)) z (cos.f64 y)) z (*.f64 (sin.f64 y) x)) |
(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) (*.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (cos.f64 y) x) x))) |
(+ (* z (+ (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))) (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))))) (/ 1 (* x (sin y)))) |
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(+ (* z (+ (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3))))))) (/ 1 (* x (sin y)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) z (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) z (cos.f64 y)) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (+ (/ (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y))))) (* x (sin y))) (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2))))))) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (-.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))) #s(literal 0 binary64)) z (cos.f64 y)) z (*.f64 (sin.f64 y) x)) |
(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) (*.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (cos.f64 y) x) x))) |
(+ (* z (+ (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))) (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))))) (/ 1 (* x (sin y)))) |
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(+ (* z (+ (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3))))))) (/ 1 (* x (sin y)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) z (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) |
(*.f64 (/.f64 (/.f64 (/.f64 (sin.f64 y) z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (neg.f64 x)) |
(/ (+ (* -1 (/ (* x (sin y)) (pow (cos y) 2))) (/ z (cos y))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (*.f64 z z)) |
(/ (+ (* -1 (/ (* x (sin y)) (pow (cos y) 2))) (/ z (cos y))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (*.f64 z z)) |
(/ (+ (* -1 (/ (* x (sin y)) (pow (cos y) 2))) (/ z (cos y))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (*.f64 z z)) |
(/ (* x (sin y)) (* z (pow (cos y) 2))) |
(*.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z)) |
(/ (+ (* -1 (/ z (cos y))) (/ (* x (sin y)) (pow (cos y) 2))) z) |
(/.f64 (fma.f64 (sin.f64 y) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 z) (cos.f64 y))) z) |
(/ (+ (* -1 (/ z (cos y))) (/ (* x (sin y)) (pow (cos y) 2))) z) |
(/.f64 (fma.f64 (sin.f64 y) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 z) (cos.f64 y))) z) |
(/ (+ (* -1 (/ z (cos y))) (/ (* x (sin y)) (pow (cos y) 2))) z) |
(/.f64 (fma.f64 (sin.f64 y) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 z) (cos.f64 y))) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
z |
(* z (+ 1 (/ (* x y) z))) |
(*.f64 (fma.f64 (/.f64 y z) x #s(literal 1 binary64)) z) |
(* z (+ 1 (/ (* x y) z))) |
(*.f64 (fma.f64 (/.f64 y z) x #s(literal 1 binary64)) z) |
(* z (+ 1 (/ (* x y) z))) |
(*.f64 (fma.f64 (/.f64 y z) x #s(literal 1 binary64)) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (pow z 2)))) (* -1 (/ (* x (sin y)) z)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2))) (+ (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (cos y)) (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2)))) (pow z 3)))) (+ (* -1 (/ (* x (sin y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (-.f64 (cos.f64 y) (/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (fma.f64 (/.f64 x (cos.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (pow.f64 z #s(literal 3 binary64))))) z) |
(/ 1 (* z (cos y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)) |
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z))) z) |
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))) z) |
(/.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z)))) z) |
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))) z) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z))))) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (pow z 2)))) (* -1 (/ (* x (sin y)) z)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2))) (+ (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))))) (cos y)) (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 2)))) (pow z 3)))) (+ (* -1 (/ (* x (sin y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (-.f64 (cos.f64 y) (/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (fma.f64 (/.f64 x (cos.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (pow.f64 z #s(literal 3 binary64))))) z) |
(/ 1 (* z (cos y))) |
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(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z) |
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(*.f64 #s(literal -1/6 binary64) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(/ (* x (sin y)) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(*.f64 (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)) x) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(*.f64 (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)) x) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(*.f64 (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (* -1 (* z (cos y)))) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (* x (sin y)))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) (* -1 (* z (cos y)))) x))))) |
(*.f64 x (+.f64 (/.f64 (fma.f64 (cos.f64 y) z (neg.f64 (*.f64 (neg.f64 z) (*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y))))) x) (sin.f64 y))) |
(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x)) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* z (cos y)) (pow (sin y) 2))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3)))) x)) (/ 1 (sin y))) x)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* z (cos y)) (pow (sin y) 2))) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) x))) x)) (/ 1 (sin y))) x)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) x))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) |
(* -1 (* x (- (* 1/5040 (pow y 2)) 1/120))) |
(*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* 1/5040 (pow y 2)) 1/120))) |
(*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* 1/5040 (pow y 2)) 1/120))) |
(*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* 1/5040 (pow y 2)) 1/120))) |
(*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (neg.f64 x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) (neg.f64 x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (* -1 (* z (cos y)))) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (* x (sin y)))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) (* -1 (* z (cos y)))) x))))) |
(*.f64 x (+.f64 (/.f64 (fma.f64 (cos.f64 y) z (neg.f64 (*.f64 (neg.f64 z) (*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 y)) (cos.f64 y))))) x) (sin.f64 y))) |
(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x)) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* z (cos y)) (pow (sin y) 2))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3)))) x)) (/ 1 (sin y))) x)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* z (cos y)) (pow (sin y) 2))) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) x))) x)) (/ 1 (sin y))) x)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) x))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) |
(* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) |
(*.f64 (/.f64 (/.f64 (/.f64 (sin.f64 y) z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (neg.f64 x)) |
(* -1 (* x (- (/ (sin y) (* (pow z 2) (pow (cos y) 2))) (/ 1 (* x (* z (cos y))))))) |
(*.f64 (-.f64 (/.f64 (/.f64 (/.f64 (sin.f64 y) z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)) x)) (neg.f64 x)) |
(* -1 (* x (- (/ (sin y) (* (pow z 2) (pow (cos y) 2))) (/ 1 (* x (* z (cos y))))))) |
(*.f64 (-.f64 (/.f64 (/.f64 (/.f64 (sin.f64 y) z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)) x)) (neg.f64 x)) |
(* -1 (* x (- (/ (sin y) (* (pow z 2) (pow (cos y) 2))) (/ 1 (* x (* z (cos y))))))) |
(*.f64 (-.f64 (/.f64 (/.f64 (/.f64 (sin.f64 y) z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)) x)) (neg.f64 x)) |
(/ (* x (sin y)) (* z (pow (cos y) 2))) |
(*.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z)) |
(* -1 (* x (+ (* -1 (/ (sin y) (* z (pow (cos y) 2)))) (/ 1 (* x (cos y)))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x) (/.f64 (/.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (sin y) (* z (pow (cos y) 2)))) (/ 1 (* x (cos y)))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x) (/.f64 (/.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (sin y) (* z (pow (cos y) 2)))) (/ 1 (* x (cos y)))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x) (/.f64 (/.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 442 |
| 0 | 94 | 442 |
| 1 | 406 | 315 |
| 2 | 3015 | 315 |
| 0 | 8227 | 306 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(/.f64 (sin.f64 y) z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (+ (* y x) z) (*.f64 y x)) |
(*.f64 y x) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
#s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) |
#s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))) |
(/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) |
(fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) |
(*.f64 (*.f64 y y) x) |
(*.f64 #s(literal -1/6 binary64) x) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
| Outputs |
|---|
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Compiled 22 057 to 2 356 computations (89.3% saved)
38 alts after pruning (32 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 970 | 17 | 987 |
| Fresh | 4 | 15 | 19 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 976 | 38 | 1 014 |
| Status | Accuracy | Program |
|---|---|---|
| 67.5% | (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) | |
| 56.7% | (fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| 76.6% | (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| 36.6% | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) | |
| ▶ | 35.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 x z) z) (/.f64 #s(literal 1 binary64) z)))) |
| ▶ | 33.4% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)))) |
| 37.2% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(approx (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal -1 binary64))) (neg.f64 z)))) | |
| 38.2% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(approx (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (fma.f64 (/.f64 y z) x #s(literal -1 binary64))) (neg.f64 z)))) | |
| 61.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(approx (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) | |
| 61.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (fma.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (pow.f64 (cos.f64 y) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 y))))))) | |
| ✓ | 39.2% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(literal 1 binary64) z))) |
| 37.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) #s(approx (/ (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (neg z)) (/.f64 (-.f64 (/.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (*.f64 z z))))) | |
| 51.5% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) | |
| 81.4% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (fma.f64 (/.f64 (sin.f64 y) z) x (neg.f64 (cos.f64 y))))) | |
| 73.9% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64))))) | |
| ▶ | 90.2% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
| 89.3% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z)) | |
| ✓ | 93.1% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
| 61.6% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (cos.f64 y) z)) | |
| 50.8% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) z)) | |
| ▶ | 50.8% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
| 55.3% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z)) | |
| ▶ | 39.3% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) |
| 56.5% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* x (/ (sin y) z)) (cos y)) z) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))) | |
| ✓ | 57.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 19.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) | |
| 57.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) | |
| ✓ | 40.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
| 21.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x)) | |
| 22.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x)) | |
| 55.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z))) | |
| 48.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) | |
| ✓ | 22.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
| 21.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) | |
| 22.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) -1/5040) (* 1/120 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) | |
| 22.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) | |
| 22.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 #s(approx (+ (* (+ (* (+ (* (* (* y y) x) -1/5040) (* 1/120 x)) (* y y)) (* -1/6 x)) (* y y)) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) y))) |
Compiled 1 074 to 820 computations (23.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) | |
| cost-diff | 0 | #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)))) | |
| cost-diff | 6272 | (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (fma.f64 (neg.f64 y) (/.f64 (/.f64 x z) z) (/.f64 #s(literal 1 binary64) z)) | |
| cost-diff | 0 | #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 x z) z) (/.f64 #s(literal 1 binary64) z))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 x z) z) (/.f64 #s(literal 1 binary64) z)))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z) | |
| cost-diff | 0 | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)) | |
| cost-diff | 0 | #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z) | |
| cost-diff | 0 | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) | |
| cost-diff | 0 | (/.f64 (cos.f64 y) x) | |
| cost-diff | 0 | (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) | |
| cost-diff | 704 | (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 558 |
| 0 | 88 | 558 |
| 1 | 147 | 551 |
| 2 | 269 | 545 |
| 3 | 616 | 539 |
| 4 | 1427 | 495 |
| 5 | 4341 | 495 |
| 0 | 8143 | 481 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(/.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
z |
(sin.f64 y) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) |
(*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z) |
#s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
(*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z) |
#s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) |
#s(literal -1/2 binary64) |
y |
(/.f64 x z) |
x |
z |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 x z) z) (/.f64 #s(literal 1 binary64) z)))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 x z) z) (/.f64 #s(literal 1 binary64) z))) |
(fma.f64 (neg.f64 y) (/.f64 (/.f64 x z) z) (/.f64 #s(literal 1 binary64) z)) |
(neg.f64 y) |
y |
(/.f64 (/.f64 x z) z) |
(/.f64 x z) |
x |
z |
(/.f64 #s(literal 1 binary64) z) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) |
(fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
z |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
(/.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
#s(literal -1 binary64) |
(neg.f64 x) |
| Outputs |
|---|
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(/.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
z |
(sin.f64 y) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) |
(*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z) |
#s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
(*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z) |
#s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) |
#s(literal -1/2 binary64) |
y |
(/.f64 x z) |
x |
z |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 x z) z) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (/.f64 (/.f64 y z) z) (neg.f64 x) (/.f64 #s(literal 1 binary64) z)))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 x z) z) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (/.f64 (/.f64 y z) z) (neg.f64 x) (/.f64 #s(literal 1 binary64) z))) |
(fma.f64 (neg.f64 y) (/.f64 (/.f64 x z) z) (/.f64 #s(literal 1 binary64) z)) |
(fma.f64 (/.f64 (/.f64 y z) z) (neg.f64 x) (/.f64 #s(literal 1 binary64) z)) |
(neg.f64 y) |
y |
(/.f64 (/.f64 x z) z) |
(/.f64 x z) |
x |
z |
(/.f64 #s(literal 1 binary64) z) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (fma.f64 (/.f64 (/.f64 z (sin.f64 y)) x) (cos.f64 y) #s(literal -1 binary64))) x))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))) |
#s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (fma.f64 (/.f64 (/.f64 z (sin.f64 y)) x) (cos.f64 y) #s(literal -1 binary64))) x)) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (fma.f64 (/.f64 (/.f64 z (sin.f64 y)) x) (cos.f64 y) #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (/.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x) (cos.f64 y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
z |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
(/.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
#s(literal -1 binary64) |
(neg.f64 x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.350971933111071 | (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) | |
| accuracy | 4.172018767111547 | (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) | |
| accuracy | 4.430077101155777 | (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) | |
| accuracy | 39.07898791145195 | #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))) | |
| accuracy | 0.1015625 | (/.f64 (/.f64 x z) z) | |
| accuracy | 0.24609375 | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 x z) z) (/.f64 #s(literal 1 binary64) z)))) | |
| accuracy | 6.659125077596881 | (fma.f64 (neg.f64 y) (/.f64 (/.f64 x z) z) (/.f64 #s(literal 1 binary64) z)) | |
| accuracy | 39.595012003653 | #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 x z) z) (/.f64 #s(literal 1 binary64) z))) | |
| accuracy | 0.01171875 | (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) | |
| accuracy | 2.412174194671793 | (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64)) | |
| accuracy | 4.375786620691441 | (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z) | |
| accuracy | 27.25256580395777 | #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) | |
| accuracy | 0 | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) | |
| accuracy | 4.375786620691441 | (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z) | |
| accuracy | 38.89702184687326 | #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) | |
| accuracy | 0 | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) | |
| accuracy | 0.09375 | (/.f64 (cos.f64 y) x) | |
| accuracy | 0.10546875 | (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) | |
| accuracy | 6.2221104272678165 | (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
| 299.0ms | 256× | 0 | valid |
Compiled 435 to 55 computations (87.4% saved)
ival-mult: 151.0ms (61.3% of total)ival-div: 38.0ms (15.4% of total)ival-pow: 24.0ms (9.7% of total)ival-add: 9.0ms (3.7% of total)ival-pow2: 7.0ms (2.8% of total)ival-sin: 6.0ms (2.4% of total)ival-cos: 6.0ms (2.4% of total)ival-neg: 4.0ms (1.6% of total)ival-sub: 2.0ms (0.8% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) (patch (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) (patch (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (cos.f64 y) x) (patch (/.f64 (cos.f64 y) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z) (patch (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) (patch #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z) (patch (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) (patch #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 x z) z) (/.f64 #s(literal 1 binary64) z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 x z) z) (/.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 x z) z) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 x z) z) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 y) (/.f64 (/.f64 x z) z) (/.f64 #s(literal 1 binary64) z)) (patch (fma.f64 (neg.f64 y) (/.f64 (/.f64 x z) z) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) (patch (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))) (patch #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (patch (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) (patch (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 x z) z) (patch (/.f64 (/.f64 x z) z) #<representation binary64>) () ()) |
#s(alt (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (patch (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) (patch (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) (patch (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (sin y) (/ (* z (cos y)) x)) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) (patch (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z) (patch (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z) (patch (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z) (patch (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) z) (taylor 0 z) (#s(alt #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) (patch #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (sin y)) (* z (cos y))) z) (taylor 0 z) (#s(alt #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) (patch #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)) (patch #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z) (patch (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z) (patch (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z) (patch (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z) (patch (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) z) (taylor 0 z) (#s(alt #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) (patch #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (sin y)) (* z (cos y))) z) (taylor 0 z) (#s(alt #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) (patch #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (sin y)) (* z (cos y))) z) (taylor 0 z) (#s(alt #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) (patch #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (sin y)) (* z (cos y))) z) (taylor 0 z) (#s(alt #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) (patch #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* z (cos y)) (pow (sin y) 2))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3)))) x)) (/ 1 (sin y))) x)) (taylor -inf x) (#s(alt #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))) (patch #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* z (cos y)) (pow (sin y) 2))) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) x))) x)) (/ 1 (sin y))) x)) (taylor -inf x) (#s(alt #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))) (patch #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (sin y)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (patch (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (patch (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (patch (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (patch (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) (patch (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) (/ 1 z)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) (patch (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) (/ 1 z)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) (patch (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) (/ 1 z)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) (patch (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow z 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x z) z) (patch (/.f64 (/.f64 x z) z) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow z 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x z) z) (patch (/.f64 (/.f64 x z) z) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow z 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x z) z) (patch (/.f64 (/.f64 x z) z) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow z 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x z) z) (patch (/.f64 (/.f64 x z) z) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 38.0ms | z | @ | inf | ((* (+ (* (/ (cos y) x) z) (sin y)) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (* (+ (* x (/ (sin y) z)) (cos y)) z) (+ (* x (/ (sin y) z)) (cos y)) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (* (+ (* x (/ (sin y) z)) (cos y)) z) (+ (* x (/ (sin y) z)) (cos y)) (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (/ 1 (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x))))) (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (+ (* (neg y) (/ (/ x z) z)) (/ 1 z)) (neg y) (/ (+ (* (/ z (pow (sin y) 2)) (/ (cos y) x)) (/ -1 (sin y))) (neg x)) (/ 1 (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x))))) (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (+ (* (/ z (pow (sin y) 2)) (/ (cos y) x)) (/ -1 (sin y))) (+ (* -1/2 y) (/ x z)) (/ (/ x z) z) (/ z (pow (sin y) 2))) |
| 14.0ms | x | @ | 0 | ((* (+ (* (/ (cos y) x) z) (sin y)) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (* (+ (* x (/ (sin y) z)) (cos y)) z) (+ (* x (/ (sin y) z)) (cos y)) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (* (+ (* x (/ (sin y) z)) (cos y)) z) (+ (* x (/ (sin y) z)) (cos y)) (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (/ 1 (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x))))) (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (+ (* (neg y) (/ (/ x z) z)) (/ 1 z)) (neg y) (/ (+ (* (/ z (pow (sin y) 2)) (/ (cos y) x)) (/ -1 (sin y))) (neg x)) (/ 1 (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x))))) (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (+ (* (/ z (pow (sin y) 2)) (/ (cos y) x)) (/ -1 (sin y))) (+ (* -1/2 y) (/ x z)) (/ (/ x z) z) (/ z (pow (sin y) 2))) |
| 8.0ms | y | @ | inf | ((* (+ (* (/ (cos y) x) z) (sin y)) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (* (+ (* x (/ (sin y) z)) (cos y)) z) (+ (* x (/ (sin y) z)) (cos y)) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (* (+ (* x (/ (sin y) z)) (cos y)) z) (+ (* x (/ (sin y) z)) (cos y)) (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (/ 1 (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x))))) (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (+ (* (neg y) (/ (/ x z) z)) (/ 1 z)) (neg y) (/ (+ (* (/ z (pow (sin y) 2)) (/ (cos y) x)) (/ -1 (sin y))) (neg x)) (/ 1 (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x))))) (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (+ (* (/ z (pow (sin y) 2)) (/ (cos y) x)) (/ -1 (sin y))) (+ (* -1/2 y) (/ x z)) (/ (/ x z) z) (/ z (pow (sin y) 2))) |
| 8.0ms | y | @ | -inf | ((* (+ (* (/ (cos y) x) z) (sin y)) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (* (+ (* x (/ (sin y) z)) (cos y)) z) (+ (* x (/ (sin y) z)) (cos y)) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (* (+ (* x (/ (sin y) z)) (cos y)) z) (+ (* x (/ (sin y) z)) (cos y)) (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (/ 1 (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x))))) (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (+ (* (neg y) (/ (/ x z) z)) (/ 1 z)) (neg y) (/ (+ (* (/ z (pow (sin y) 2)) (/ (cos y) x)) (/ -1 (sin y))) (neg x)) (/ 1 (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x))))) (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (+ (* (/ z (pow (sin y) 2)) (/ (cos y) x)) (/ -1 (sin y))) (+ (* -1/2 y) (/ x z)) (/ (/ x z) z) (/ z (pow (sin y) 2))) |
| 5.0ms | x | @ | -inf | ((* (+ (* (/ (cos y) x) z) (sin y)) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (* (+ (* x (/ (sin y) z)) (cos y)) z) (+ (* x (/ (sin y) z)) (cos y)) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (* (+ (* x (/ (sin y) z)) (cos y)) z) (+ (* x (/ (sin y) z)) (cos y)) (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (/ 1 (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x))))) (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (+ (* (neg y) (/ (/ x z) z)) (/ 1 z)) (neg y) (/ (+ (* (/ z (pow (sin y) 2)) (/ (cos y) x)) (/ -1 (sin y))) (neg x)) (/ 1 (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x))))) (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (+ (* (/ z (pow (sin y) 2)) (/ (cos y) x)) (/ -1 (sin y))) (+ (* -1/2 y) (/ x z)) (/ (/ x z) z) (/ z (pow (sin y) 2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 656 | 11233 |
| 1 | 2222 | 10442 |
| 0 | 8338 | 9938 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(sin y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(/ (* x (sin y)) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(/ (* x (sin y)) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/ (* x y) z) |
(/ (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))) z) |
(/ (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))) z) |
(/ (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))) z) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(+ (* x (sin y)) (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (+ (/ (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y))))) (* x (sin y))) (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2))))))) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(/ 1 (* x (sin y))) |
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) |
(+ (* z (+ (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))) (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))))) (/ 1 (* x (sin y)))) |
(+ (* z (+ (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3))))))) (/ 1 (* x (sin y)))) |
(* -1 (/ (* x y) (pow z 2))) |
(/ (+ z (* -1 (* x y))) (pow z 2)) |
(/ (+ z (* -1 (* x y))) (pow z 2)) |
(/ (+ z (* -1 (* x y))) (pow z 2)) |
(/ 1 (* x (sin y))) |
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) |
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) |
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(+ (* x (sin y)) (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (+ (/ (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y))))) (* x (sin y))) (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2))))))) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(/ 1 (* x (sin y))) |
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) |
(+ (* z (+ (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))) (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))))) (/ 1 (* x (sin y)))) |
(+ (* z (+ (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3))))))) (/ 1 (* x (sin y)))) |
(/ -1 (sin y)) |
(- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) |
(- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) |
(- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) |
(/ x z) |
(/ (+ x (* -1/2 (* y z))) z) |
(/ (+ x (* -1/2 (* y z))) z) |
(/ (+ x (* -1/2 (* y z))) z) |
(/ x (pow z 2)) |
(/ x (pow z 2)) |
(/ x (pow z 2)) |
(/ x (pow z 2)) |
(/ z (pow (sin y) 2)) |
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(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x) |
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3))))) x) |
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) x) |
(* -1 (/ (* x y) (pow z 2))) |
(* x (+ (* -1 (/ y (pow z 2))) (/ 1 (* x z)))) |
(* x (+ (* -1 (/ y (pow z 2))) (/ 1 (* x z)))) |
(* x (+ (* -1 (/ y (pow z 2))) (/ 1 (* x z)))) |
(/ 1 (* x (sin y))) |
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x) |
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x) |
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (pow x 2)))) (* -1 (/ (* z (cos y)) x)))) |
(* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (+ (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) (pow x 3)))) (+ (* -1 (/ (* z (cos y)) x)) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y))))))) |
(/ 1 (* x (sin y))) |
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x) |
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3))))) x) |
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) x) |
(/ -1 (sin y)) |
(- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) |
(- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) |
(- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) |
(/ x z) |
(* x (+ (* -1/2 (/ y x)) (/ 1 z))) |
(* x (+ (* -1/2 (/ y x)) (/ 1 z))) |
(* x (+ (* -1/2 (/ y x)) (/ 1 z))) |
(/ x (pow z 2)) |
(/ x (pow z 2)) |
(/ x (pow z 2)) |
(/ x (pow z 2)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(sin y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(/ (* x (sin y)) z) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(/ (* x (sin y)) z) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(/ (* x y) z) |
(* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ 1 (* -1/2 (pow y 2))) x))))) |
(* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ 1 (* -1/2 (pow y 2))) x))))) |
(* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ 1 (* -1/2 (pow y 2))) x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (* -1 (* z (cos y)))) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (* x (sin y)))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) (* -1 (* z (cos y)))) x))))) |
(/ 1 (* x (sin y))) |
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* z (cos y)) (pow (sin y) 2))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3)))) x)) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* z (cos y)) (pow (sin y) 2))) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) x))) x)) (/ 1 (sin y))) x)) |
(* -1 (/ (* x y) (pow z 2))) |
(* -1 (* x (- (/ y (pow z 2)) (/ 1 (* x z))))) |
(* -1 (* x (- (/ y (pow z 2)) (/ 1 (* x z))))) |
(* -1 (* x (- (/ y (pow z 2)) (/ 1 (* x z))))) |
(/ 1 (* x (sin y))) |
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x)) |
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x)) |
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (* -1 (* z (cos y)))) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (* x (sin y)))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) (* -1 (* z (cos y)))) x))))) |
(/ 1 (* x (sin y))) |
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* z (cos y)) (pow (sin y) 2))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3)))) x)) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* z (cos y)) (pow (sin y) 2))) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) x))) x)) (/ 1 (sin y))) x)) |
(/ -1 (sin y)) |
(- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) |
(- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) |
(- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) |
(/ x z) |
(* -1 (* x (- (* 1/2 (/ y x)) (/ 1 z)))) |
(* -1 (* x (- (* 1/2 (/ y x)) (/ 1 z)))) |
(* -1 (* x (- (* 1/2 (/ y x)) (/ 1 z)))) |
(/ x (pow z 2)) |
(/ x (pow z 2)) |
(/ x (pow z 2)) |
(/ x (pow z 2)) |
| Outputs |
|---|
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(sin y) |
(sin.f64 y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(/ (* x (sin y)) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(/ (* x (sin y)) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))) z) |
(/.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z) z) |
(/ (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))) z) |
(/.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z) z) |
(/ (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))) z) |
(/.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z) z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) z (cos.f64 y)) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (+ (/ (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y))))) (* x (sin y))) (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2))))))) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (-.f64 (fma.f64 (cos.f64 y) (/.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))) #s(literal 0 binary64)) z (cos.f64 y)) z (*.f64 (sin.f64 y) x)) |
(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) |
(fma.f64 (/.f64 (neg.f64 z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (cos.f64 y) x) x) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(+ (* z (+ (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))) (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))))) (/ 1 (* x (sin y)))) |
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(+ (* z (+ (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3))))))) (/ 1 (* x (sin y)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) z (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(* -1 (/ (* x y) (pow z 2))) |
(*.f64 (/.f64 (/.f64 (neg.f64 y) z) z) x) |
(/ (+ z (* -1 (* x y))) (pow z 2)) |
(/.f64 (/.f64 (-.f64 z (*.f64 y x)) z) z) |
(/ (+ z (* -1 (* x y))) (pow z 2)) |
(/.f64 (/.f64 (-.f64 z (*.f64 y x)) z) z) |
(/ (+ z (* -1 (* x y))) (pow z 2)) |
(/.f64 (/.f64 (-.f64 z (*.f64 y x)) z) z) |
(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) |
(fma.f64 (/.f64 (neg.f64 z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (cos.f64 y) x) x) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) |
(fma.f64 (/.f64 (neg.f64 z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (cos.f64 y) x) x) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) |
(fma.f64 (/.f64 (neg.f64 z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (cos.f64 y) x) x) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) z (cos.f64 y)) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (+ (/ (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y))))) (* x (sin y))) (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2))))))) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (-.f64 (fma.f64 (cos.f64 y) (/.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))) #s(literal 0 binary64)) z (cos.f64 y)) z (*.f64 (sin.f64 y) x)) |
(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) |
(fma.f64 (/.f64 (neg.f64 z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (cos.f64 y) x) x) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(+ (* z (+ (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))) (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))))) (/ 1 (* x (sin y)))) |
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(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (* -1 (* z (cos y)))) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))))) (* x (sin y)))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) (* -1 (* z (cos y)))) x))))) |
(*.f64 x (+.f64 (/.f64 (fma.f64 (cos.f64 y) z (neg.f64 (*.f64 (neg.f64 z) (*.f64 (cos.f64 y) (/.f64 #s(literal 0 binary64) (sin.f64 y)))))) x) (sin.f64 y))) |
(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x)) |
(/.f64 (fma.f64 (/.f64 (cos.f64 y) x) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* z (cos y)) (pow (sin y) 2))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3)))) x)) (/ 1 (sin y))) x)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* z (cos y)) (pow (sin y) 2))) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) x))) x)) (/ 1 (sin y))) x)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) x))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) |
(/ -1 (sin y)) |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
(- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) |
(fma.f64 (/.f64 (cos.f64 y) x) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) |
(fma.f64 (/.f64 (cos.f64 y) x) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) |
(fma.f64 (/.f64 (cos.f64 y) x) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/ x z) |
(/.f64 x z) |
(* -1 (* x (- (* 1/2 (/ y x)) (/ 1 z)))) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
(* -1 (* x (- (* 1/2 (/ y x)) (/ 1 z)))) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
(* -1 (* x (- (* 1/2 (/ y x)) (/ 1 z)))) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
(/ x (pow z 2)) |
(/.f64 (/.f64 x z) z) |
(/ x (pow z 2)) |
(/.f64 (/.f64 x z) z) |
(/ x (pow z 2)) |
(/.f64 (/.f64 x z) z) |
(/ x (pow z 2)) |
(/.f64 (/.f64 x z) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 507 |
| 0 | 88 | 507 |
| 1 | 391 | 440 |
| 2 | 3096 | 434 |
| 0 | 8731 | 428 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(/.f64 (cos.f64 y) x) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) |
(*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z) |
#s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
(*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z) |
#s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 x z) z) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 x z) z) (/.f64 #s(literal 1 binary64) z))) |
(fma.f64 (neg.f64 y) (/.f64 (/.f64 x z) z) (/.f64 #s(literal 1 binary64) z)) |
(neg.f64 y) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)))) |
#s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))) |
(fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) |
(/.f64 (/.f64 x z) z) |
(/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
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Compiled 24 539 to 2 782 computations (88.7% saved)
50 alts after pruning (42 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 173 | 21 | 1 194 |
| Fresh | 6 | 21 | 27 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 182 | 50 | 1 232 |
| Status | Accuracy | Program |
|---|---|---|
| 56.7% | (fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| 76.6% | (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| 32.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) | |
| 21.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (*.f64 (neg.f64 y) (/.f64 x z)) z z) (*.f64 z z)))) | |
| 21.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(approx (+ (* (/ z (pow (sin y) 2)) (/ (cos y) x)) (/ -1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 z x) #s(literal -1/6 binary64))) y #s(literal -1 binary64)) y (/.f64 z x)) y) y)) (neg.f64 x)))) | |
| 21.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(approx (+ (* (/ z (pow (sin y) 2)) (/ (cos y) x)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 z x) y) y) y)) (neg.f64 x)))) | |
| 39.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(approx (+ (* (/ z (pow (sin y) 2)) (/ (cos y) x)) (/ -1 (sin y))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)))) | |
| 37.2% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(approx (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal -1 binary64))) (neg.f64 z)))) | |
| 61.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(approx (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) | |
| ✓ | 39.2% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(literal 1 binary64) z))) |
| 3.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) #s(approx (/ (+ (* (/ z (pow (sin y) 2)) (/ (cos y) x)) (/ -1 (sin y))) (neg x)) (/.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 x x) y) y))))) | |
| 37.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) #s(approx (/ (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (neg z)) (/.f64 (-.f64 (/.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (*.f64 z z))))) | |
| 38.2% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) #s(approx (+ (* (neg y) (/ (/ x z) z)) (/ 1 z)) (/.f64 (/.f64 (-.f64 z (*.f64 y x)) z) z)))) | |
| 3.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) #s(approx (+ (* (neg y) (/ (/ x z) z)) (/ 1 z)) (*.f64 (/.f64 (/.f64 (neg.f64 y) z) z) x)))) | |
| 30.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) #s(approx (+ (* (neg y) (/ (/ x z) z)) (/ 1 z)) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 x z) z)) y)))) | |
| 51.5% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) | |
| 81.4% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (fma.f64 (/.f64 (sin.f64 y) z) x (neg.f64 (cos.f64 y))))) | |
| 73.9% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64))))) | |
| ✓ | 90.2% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
| 90.1% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y))) z (sin.f64 y)) x)) | |
| 89.3% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z)) | |
| 90.2% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x)) | |
| ✓ | 93.1% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
| 61.6% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (cos.f64 y) z)) | |
| 52.7% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 z x) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 z x))) x)) | |
| 52.1% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x)) | |
| 35.5% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) | |
| 90.1% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) z)) x)) | |
| 50.8% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) z)) | |
| 55.3% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z)) | |
| 51.6% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (/.f64 x z) y #s(literal 1 binary64))) z)) | |
| 20.1% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (/.f64 (*.f64 y x) z))) z)) | |
| 24.2% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 (/.f64 x z) y) #s(literal 1/2 binary64))) (*.f64 y y)))) z)) | |
| 10.1% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 x z) y) #s(literal 1/2 binary64)) y) y))) z)) | |
| 3.3% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) z)) | |
| ✓ | 39.3% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) |
| 56.5% | #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* (/ (cos y) x) z) (sin y)) x) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))) | |
| ✓ | 57.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 19.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) | |
| 57.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) | |
| ✓ | 40.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
| 21.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x)) | |
| 22.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x)) | |
| 48.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) | |
| ✓ | 22.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
| 21.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) | |
| 22.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) -1/5040) (* 1/120 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) | |
| 22.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) | |
| 22.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 #s(approx (+ (* (+ (* (+ (* (* (* y y) x) -1/5040) (* 1/120 x)) (* y y)) (* -1/6 x)) (* y y)) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) y))) |
Compiled 2 079 to 956 computations (54% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* x (/ (sin y) z)) (cos y)) z) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* (/ (cos y) x) z) (sin y)) x) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (/.f64 (*.f64 y x) z))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (/.f64 x z) y #s(literal 1 binary64))) z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) #s(approx (/ (+ (* (/ z (pow (sin y) 2)) (/ (cos y) x)) (/ -1 (sin y))) (neg x)) (/.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 x x) y) y))))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 x z) y) #s(literal 1/2 binary64)) y) y))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) #s(approx (+ (* (neg y) (/ (/ x z) z)) (/ 1 z)) (*.f64 (/.f64 (/.f64 (neg.f64 y) z) z) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) #s(approx (+ (* (neg y) (/ (/ x z) z)) (/ 1 z)) (/.f64 (/.f64 (-.f64 z (*.f64 y x)) z) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(approx (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (fma.f64 (/.f64 y z) x #s(literal -1 binary64))) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 #s(approx (+ (* (+ (* (+ (* (* (* y y) x) -1/5040) (* 1/120 x)) (* y y)) (* -1/6 x)) (* y y)) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) y))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 z x) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 z x))) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) -1/5040) (* 1/120 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(approx (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal -1 binary64))) (neg.f64 z)))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (*.f64 (neg.f64 y) (/.f64 x z)) z z) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 x z) z) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 (/.f64 x z) y) #s(literal 1/2 binary64))) (*.f64 y y)))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(approx (+ (* (/ z (pow (sin y) 2)) (/ (cos y) x)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 z x) y) y) y)) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) #s(approx (+ (* (neg y) (/ (/ x z) z)) (/ 1 z)) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 x z) z)) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(approx (+ (* (/ z (pow (sin y) 2)) (/ (cos y) x)) (/ -1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 z x) #s(literal -1/6 binary64))) y #s(literal -1 binary64)) y (/.f64 z x)) y) y)) (neg.f64 x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(approx (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(approx (+ (* (/ z (pow (sin y) 2)) (/ (cos y) x)) (/ -1 (sin y))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y))) z (sin.f64 y)) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) z)) x)) |
(fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) #s(approx (/ (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (neg z)) (/.f64 (-.f64 (/.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (fma.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (pow.f64 (cos.f64 y) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 y))))))) |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (fma.f64 (/.f64 (sin.f64 y) z) x (neg.f64 (cos.f64 y))))) |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(/.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64))))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
4 calls:
| 49.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 48.0ms | x |
| 48.0ms | z |
| 30.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* x (/ (sin y) z)) (cos y)) z) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* (/ (cos y) x) z) (sin y)) x) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (/.f64 (*.f64 y x) z))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (/.f64 x z) y #s(literal 1 binary64))) z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) #s(approx (/ (+ (* (/ z (pow (sin y) 2)) (/ (cos y) x)) (/ -1 (sin y))) (neg x)) (/.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 x x) y) y))))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 x z) y) #s(literal 1/2 binary64)) y) y))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) #s(approx (+ (* (neg y) (/ (/ x z) z)) (/ 1 z)) (*.f64 (/.f64 (/.f64 (neg.f64 y) z) z) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) #s(approx (+ (* (neg y) (/ (/ x z) z)) (/ 1 z)) (/.f64 (/.f64 (-.f64 z (*.f64 y x)) z) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(approx (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (fma.f64 (/.f64 y z) x #s(literal -1 binary64))) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 #s(approx (+ (* (+ (* (+ (* (* (* y y) x) -1/5040) (* 1/120 x)) (* y y)) (* -1/6 x)) (* y y)) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) y))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 z x) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 z x))) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) -1/5040) (* 1/120 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(approx (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal -1 binary64))) (neg.f64 z)))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (*.f64 (neg.f64 y) (/.f64 x z)) z z) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 x z) z) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 (/.f64 x z) y) #s(literal 1/2 binary64))) (*.f64 y y)))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(approx (+ (* (/ z (pow (sin y) 2)) (/ (cos y) x)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 z x) y) y) y)) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) #s(approx (+ (* (neg y) (/ (/ x z) z)) (/ 1 z)) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 x z) z)) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(approx (+ (* (/ z (pow (sin y) 2)) (/ (cos y) x)) (/ -1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 z x) #s(literal -1/6 binary64))) y #s(literal -1 binary64)) y (/.f64 z x)) y) y)) (neg.f64 x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(approx (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(approx (+ (* (/ z (pow (sin y) 2)) (/ (cos y) x)) (/ -1 (sin y))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
4 calls:
| 36.0ms | y |
| 15.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 15.0ms | z |
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.4% | 3 | x |
| 83.2% | 2 | y |
| 88.6% | 3 | z |
| 79.8% | 3 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* x (/ (sin y) z)) (cos y)) z) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* (/ (cos y) x) z) (sin y)) x) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (/.f64 (*.f64 y x) z))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (/.f64 x z) y #s(literal 1 binary64))) z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) #s(approx (/ (+ (* (/ z (pow (sin y) 2)) (/ (cos y) x)) (/ -1 (sin y))) (neg x)) (/.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 x x) y) y))))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 x z) y) #s(literal 1/2 binary64)) y) y))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) #s(approx (+ (* (neg y) (/ (/ x z) z)) (/ 1 z)) (*.f64 (/.f64 (/.f64 (neg.f64 y) z) z) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) #s(approx (+ (* (neg y) (/ (/ x z) z)) (/ 1 z)) (/.f64 (/.f64 (-.f64 z (*.f64 y x)) z) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(approx (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (fma.f64 (/.f64 y z) x #s(literal -1 binary64))) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 #s(approx (+ (* (+ (* (+ (* (* (* y y) x) -1/5040) (* 1/120 x)) (* y y)) (* -1/6 x)) (* y y)) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) y))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 z x) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 z x))) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) -1/5040) (* 1/120 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(approx (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal -1 binary64))) (neg.f64 z)))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (*.f64 (neg.f64 y) (/.f64 x z)) z z) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 x z) z) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 (/.f64 x z) y) #s(literal 1/2 binary64))) (*.f64 y y)))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(approx (+ (* (/ z (pow (sin y) 2)) (/ (cos y) x)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 z x) y) y) y)) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) #s(approx (+ (* (neg y) (/ (/ x z) z)) (/ 1 z)) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 x z) z)) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(approx (+ (* (/ z (pow (sin y) 2)) (/ (cos y) x)) (/ -1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 z x) #s(literal -1/6 binary64))) y #s(literal -1 binary64)) y (/.f64 z x)) y) y)) (neg.f64 x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 (cos.f64 y) z)) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
3 calls:
| 26.0ms | z |
| 23.0ms | x |
| 12.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.9% | 4 | y |
| 78.3% | 4 | z |
| 81.2% | 3 | x |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* x (/ (sin y) z)) (cos y)) z) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* (/ (cos y) x) z) (sin y)) x) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (/.f64 (*.f64 y x) z))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (/.f64 x z) y #s(literal 1 binary64))) z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) #s(approx (/ (+ (* (/ z (pow (sin y) 2)) (/ (cos y) x)) (/ -1 (sin y))) (neg x)) (/.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 x x) y) y))))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 x z) y) #s(literal 1/2 binary64)) y) y))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) #s(approx (+ (* (neg y) (/ (/ x z) z)) (/ 1 z)) (*.f64 (/.f64 (/.f64 (neg.f64 y) z) z) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) #s(approx (+ (* (neg y) (/ (/ x z) z)) (/ 1 z)) (/.f64 (/.f64 (-.f64 z (*.f64 y x)) z) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(approx (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (fma.f64 (/.f64 y z) x #s(literal -1 binary64))) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 #s(approx (+ (* (+ (* (+ (* (* (* y y) x) -1/5040) (* 1/120 x)) (* y y)) (* -1/6 x)) (* y y)) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) y))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 z x) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 z x))) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) -1/5040) (* 1/120 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(approx (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal -1 binary64))) (neg.f64 z)))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (*.f64 (neg.f64 y) (/.f64 x z)) z z) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 x z) z) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 (/.f64 x z) y) #s(literal 1/2 binary64))) (*.f64 y y)))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(approx (+ (* (/ z (pow (sin y) 2)) (/ (cos y) x)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 z x) y) y) y)) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) #s(approx (+ (* (neg y) (/ (/ x z) z)) (/ 1 z)) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 x z) z)) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(approx (+ (* (/ z (pow (sin y) 2)) (/ (cos y) x)) (/ -1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 z x) #s(literal -1/6 binary64))) y #s(literal -1 binary64)) y (/.f64 z x)) y) y)) (neg.f64 x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
2 calls:
| 12.0ms | x |
| 12.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.3% | 3 | x |
| 81.0% | 3 | y |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* x (/ (sin y) z)) (cos y)) z) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) #s(approx (* (+ (* (/ (cos y) x) z) (sin y)) x) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (/.f64 (*.f64 y x) z))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (/.f64 x z) y #s(literal 1 binary64))) z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) #s(approx (/ (+ (* (/ z (pow (sin y) 2)) (/ (cos y) x)) (/ -1 (sin y))) (neg x)) (/.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 x x) y) y))))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 x z) y) #s(literal 1/2 binary64)) y) y))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) #s(approx (+ (* (neg y) (/ (/ x z) z)) (/ 1 z)) (*.f64 (/.f64 (/.f64 (neg.f64 y) z) z) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) #s(approx (+ (* (neg y) (/ (/ x z) z)) (/ 1 z)) (/.f64 (/.f64 (-.f64 z (*.f64 y x)) z) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(approx (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (fma.f64 (/.f64 y z) x #s(literal -1 binary64))) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 #s(approx (+ (* (+ (* (+ (* (* (* y y) x) -1/5040) (* 1/120 x)) (* y y)) (* -1/6 x)) (* y y)) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) y))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 z x) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 z x))) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) -1/5040) (* 1/120 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(approx (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal -1 binary64))) (neg.f64 z)))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 (*.f64 (neg.f64 y) (/.f64 x z)) z z) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 x z) z) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 (/.f64 x z) y) #s(literal 1/2 binary64))) (*.f64 y y)))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(approx (+ (* (/ z (pow (sin y) 2)) (/ (cos y) x)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 z x) y) y) y)) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) #s(approx (+ (* (neg y) (/ (/ x z) z)) (/ 1 z)) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 (/.f64 x z) z)) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (/ (- (pow (* (sin y) x) 4) (pow (* (cos y) z) 4)) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/.f64 #s(approx (+ (* (/ z (pow (sin y) 2)) (/ (cos y) x)) (/ -1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 z x) #s(literal -1/6 binary64))) y #s(literal -1 binary64)) y (/.f64 z x)) y) y)) (neg.f64 x)))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
4 calls:
| 13.0ms | y |
| 13.0ms | x |
| 12.0ms | z |
| 12.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.3% | 1 | x |
| 57.3% | 1 | z |
| 57.3% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 57.3% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
4 calls:
| 2.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.5% | 3 | z |
| 48.1% | 3 | x |
| 43.0% | 3 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 39.3% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
4 calls:
| 2.0ms | z |
| 1.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 22.0% | 1 | y |
| 22.0% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 22.0% | 1 | z |
| 22.0% | 1 | x |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 163530931217928.7 | 163485098582447260.0 |
| 19.0ms | -1.0085338566247062e-69 | -3.477385104408033e-77 |
| 24.0ms | 272× | 0 | valid |
Compiled 233 to 286 computations (-22.7% saved)
ival-sin: 6.0ms (37% of total)ival-cos: 5.0ms (30.8% of total)ival-mult: 4.0ms (24.7% of total)ival-add: 1.0ms (6.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 1.7423567390961589e-12 | 2.611815227751534e-11 |
| 15.0ms | -1840.7699126061598 | -131.3806831064602 |
| 26.0ms | -1.8877837379171343e+264 | -3.0902495037874457e+255 |
| 55.0ms | 336× | 0 | valid |
Compiled 342 to 368 computations (-7.6% saved)
ival-cos: 27.0ms (59% of total)ival-sin: 11.0ms (24% of total)ival-mult: 6.0ms (13.1% of total)ival-add: 2.0ms (4.4% 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 |
|---|---|---|
| 1.0ms | 1.7423567390961589e-12 | 2.611815227751534e-11 |
| 1.0ms | -1840.7699126061598 | -131.3806831064602 |
Compiled 252 to 242 computations (4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 163485098582447260.0 | 1.2404439580992177e+21 |
| 47.0ms | -6.934710567051028e+95 | -1.529558089039776e+71 |
| 53.0ms | 304× | 0 | valid |
Compiled 202 to 299 computations (-48% saved)
ival-cos: 28.0ms (68.2% of total)ival-sin: 7.0ms (17% of total)ival-mult: 4.0ms (9.7% of total)ival-add: 1.0ms (2.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 309 |
| 1 | 82 | 309 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(if (<=.f64 x #s(literal -2864581841720371/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) (if (<=.f64 x #s(literal 165000000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)))) |
(if (<=.f64 y #s(literal -229999999999999996727833135880778124664565052487913150623676182900198837923415882174819991059951866758626531136541399554709066036332483566304159458788682535934903593338133413284085648250851644601324235213996225987289093618649991654249567249180069480383878612910080 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal -135 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 2011652563838743/77371252455336267181195264 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))) |
(if (<=.f64 y #s(literal -135 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 2011652563838743/77371252455336267181195264 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(if (<=.f64 x #s(literal -7600000000000000242823390079118667589327990513118807879664992299724064748368388437219213312 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (if (<=.f64 x #s(literal 1080000000000000000000 binary64)) #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(if (<=.f64 x #s(literal -2864581841720371/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) (if (<=.f64 x #s(literal 165000000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)))) |
(if (<=.f64 x #s(literal -2864581841720371/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) (if (<=.f64 x #s(literal 165000000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)))) |
(if (<=.f64 y #s(literal -229999999999999996727833135880778124664565052487913150623676182900198837923415882174819991059951866758626531136541399554709066036332483566304159458788682535934903593338133413284085648250851644601324235213996225987289093618649991654249567249180069480383878612910080 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal -135 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 2011652563838743/77371252455336267181195264 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))) |
(if (<=.f64 y #s(literal -229999999999999996727833135880778124664565052487913150623676182900198837923415882174819991059951866758626531136541399554709066036332483566304159458788682535934903593338133413284085648250851644601324235213996225987289093618649991654249567249180069480383878612910080 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal -135 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 2011652563838743/77371252455336267181195264 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))) |
(if (<=.f64 y #s(literal -135 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 2011652563838743/77371252455336267181195264 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (<=.f64 y #s(literal -135 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 2011652563838743/77371252455336267181195264 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(if (<=.f64 x #s(literal -7600000000000000242823390079118667589327990513118807879664992299724064748368388437219213312 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (if (<=.f64 x #s(literal 1080000000000000000000 binary64)) #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))))) |
(if (<=.f64 x #s(literal -7600000000000000242823390079118667589327990513118807879664992299724064748368388437219213312 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) (if (<=.f64 x #s(literal 1080000000000000000000 binary64)) #s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1014 | 10665 |
| 1 | 3516 | 10178 |
| 0 | 8337 | 9786 |
| 0 | 611 | 9407 |
| 1 | 2150 | 8711 |
| 0 | 8161 | 8277 |
| 0 | 109 | 682 |
| 1 | 344 | 678 |
| 2 | 981 | 668 |
| 3 | 2637 | 662 |
| 4 | 4654 | 662 |
| 5 | 6949 | 662 |
| 0 | 8182 | 606 |
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 29 | 21 |
| 2 | 185 | 21 |
| 3 | 1836 | 21 |
| 0 | 8391 | 20 |
| 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 281 to 159 computations (43.4% saved)
Compiled 308 to 116 computations (62.3% saved)
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