
Time bar (total: 9.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 1.1s | 8 256× | 0 | valid |
ival-cos: 231.0ms (36.6% of total)ival-sin: 222.0ms (35.2% of total)ival-mult: 131.0ms (20.8% of total)ival-add: 36.0ms (5.7% of total)ival-true: 6.0ms (1% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | (*.f64 z (cos.f64 y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x (sin.f64 y)) |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 50.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-cos: 12.0ms (34.7% of total)ival-sin: 11.0ms (31.8% of total)ival-mult: 9.0ms (26% 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 |
| 180× | associate-*r* |
| 160× | unsub-neg |
| 142× | associate-*l* |
| 136× | distribute-lft-neg-in |
| 110× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 87 |
| 1 | 79 | 81 |
| 2 | 139 | 81 |
| 3 | 307 | 81 |
| 4 | 458 | 81 |
| 5 | 693 | 81 |
| 6 | 871 | 81 |
| 7 | 957 | 81 |
| 8 | 1038 | 81 |
| 9 | 1104 | 81 |
| 10 | 1118 | 81 |
| 11 | 1123 | 81 |
| 12 | 1125 | 81 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 16 | 9 |
| 0 | 16 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (cos.f64 y)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 x (sin.f64 y)) | |
| cost-diff | 128 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 8× | lower-fma.f64 |
| 8× | lower-fma.f32 |
| 8× | lower-*.f32 |
| 4× | *-commutative |
| 4× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 16 | 24 |
| 0 | 16 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
| Outputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
z |
(cos.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.00390625 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) | |
| accuracy | 0.1015625 | (*.f64 z (cos.f64 y)) | |
| accuracy | 0.12109375 | (*.f64 x (sin.f64 y)) |
| 23.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-sin: 6.0ms (39.5% of total)ival-cos: 5.0ms (32.9% of total)ival-mult: 3.0ms (19.7% of total)ival-add: 1.0ms (6.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 x (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 | |
|---|---|---|---|---|
| 2.0ms | z | @ | 0 | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | z | @ | inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | y | @ | inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | x | @ | 0 | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | z | @ | -inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1× | egg-herbie |
| 12 858× | lower-fma.f64 |
| 12 858× | lower-fma.f32 |
| 4 718× | lower-*.f64 |
| 4 718× | lower-*.f32 |
| 2 178× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 682 |
| 1 | 344 | 678 |
| 2 | 981 | 668 |
| 3 | 2637 | 662 |
| 4 | 4654 | 662 |
| 5 | 6949 | 662 |
| 0 | 8182 | 606 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
| Outputs |
|---|
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
z |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y x)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(*.f64 z (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(*.f64 z (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
| 11 480× | lower-fma.f64 |
| 11 480× | lower-fma.f32 |
| 4 168× | lower-*.f32 |
| 4 164× | lower-*.f64 |
| 4 070× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 29 | 21 |
| 2 | 185 | 21 |
| 3 | 1836 | 21 |
| 0 | 8391 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y))) (hypot.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 9/2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 9/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (hypot.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (hypot.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3/2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)))) |
(*.f64 (/.f64 (hypot.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (neg.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (pow.f64 (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (pow.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (-.f64 (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)))) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (hypot.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 9/2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 9/2 binary64))) (-.f64 (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)))) (pow.f64 (-.f64 (hypot.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (hypot.f64 (*.f64 (cos.f64 y) z) (*.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))) (pow.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (-.f64 (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (fma.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (-.f64 (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y))) #s(literal -1 binary64)) (hypot.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3/2 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) |
(*.f64 (hypot.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 9/2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 9/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (hypot.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 3 binary64))) (-.f64 (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)))))) |
(*.f64 (hypot.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 9/2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 9/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y))) (-.f64 (hypot.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 3 binary64)))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (hypot.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3/2 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y))) (/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (-.f64 (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y))))) |
(*.f64 (hypot.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3/2 binary64))) (pow.f64 (-.f64 (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) (*.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) (+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
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(fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(fma.f64 (*.f64 (*.f64 (sin.f64 y) x) x) (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 (*.f64 (sin.f64 y) x) (/.f64 (*.f64 (sin.f64 y) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (sin.f64 y) (/.f64 (*.f64 (*.f64 (sin.f64 y) x) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (fma.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64))))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (fma.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (*.f64 (-.f64 (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)) (*.f64 (-.f64 (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))) (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y))))) (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64)) (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) #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 6 binary64)) (fma.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (-.f64 (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (-.f64 (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(-.f64 (*.f64 (sin.f64 y) x) (*.f64 (neg.f64 z) (cos.f64 y))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (sin.f64 y)))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 x))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64))) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 y) x))) |
(sin.f64 y) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (cos.f64 y)))) |
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (cos.f64 y))) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (neg.f64 z) (cos.f64 y))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (cos.f64 y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z))) |
(cos.f64 y) |
Compiled 8 261 to 574 computations (93.1% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 266 | 16 | 282 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 267 | 16 | 283 |
| Status | Accuracy | Program |
|---|---|---|
| 46.9% | (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) | |
| ▶ | 65.0% | (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))))) |
| 54.9% | (fma.f64 (*.f64 (*.f64 (sin.f64 y) x) x) (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) | |
| ▶ | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 58.2% | (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) | |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
| 77.6% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| 56.4% | (+.f64 #s(approx (* x (sin y)) (*.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)) (*.f64 z (cos.f64 y))) | |
| 65.7% | (+.f64 #s(approx (* x (sin y)) (*.f64 y x)) (*.f64 z (cos.f64 y))) | |
| 58.1% | (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) | |
| 46.2% | (exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #s(literal -1 binary64))) | |
| 53.6% | #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)) | |
| 53.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) | |
| ▶ | 54.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| ▶ | 41.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
| 58.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
Compiled 538 to 358 computations (33.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (sin.f64 y) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) | |
| cost-diff | 128 | (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) | |
| cost-diff | 41920 | (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))))) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) | |
| cost-diff | 7168 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) | |
| 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 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 20 336× | lower-fma.f32 |
| 20 328× | lower-fma.f64 |
| 3 024× | lower-*.f32 |
| 3 018× | lower-*.f64 |
| 2 306× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 227 |
| 0 | 50 | 194 |
| 1 | 81 | 194 |
| 2 | 140 | 193 |
| 3 | 391 | 193 |
| 4 | 1027 | 193 |
| 5 | 2505 | 193 |
| 6 | 3481 | 193 |
| 7 | 3760 | 193 |
| 8 | 3902 | 193 |
| 9 | 3931 | 193 |
| 10 | 3944 | 193 |
| 11 | 4883 | 193 |
| 12 | 5327 | 193 |
| 13 | 5375 | 193 |
| 14 | 5503 | 193 |
| 15 | 5567 | 193 |
| 16 | 5567 | 193 |
| 17 | 5596 | 193 |
| 18 | 5596 | 193 |
| 19 | 5612 | 193 |
| 20 | 5792 | 193 |
| 21 | 7047 | 193 |
| 0 | 8390 | 193 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(cos.f64 y) |
y |
z |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
#s(approx (+ (* x (sin y)) (* z (cos y))) (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 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(cos.f64 y) |
y |
z |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
#s(literal -1 binary64) |
(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 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
x |
(/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(neg.f64 z) |
z |
(cos.f64 y) |
(*.f64 (sin.f64 y) x) |
(neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) z) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(cos.f64 y) |
y |
z |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
x |
#s(approx (+ (* x (sin y)) (* z (cos y))) (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 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(cos.f64 y) |
y |
z |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
x |
#s(literal -1 binary64) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
x |
(/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) |
(neg.f64 z) |
z |
(cos.f64 y) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2109375 | (pow.f64 (sin.f64 y) #s(literal 2 binary64)) | |
| accuracy | 1.1344713170184861 | (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))))) | |
| accuracy | 5.712802160772668 | (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) | |
| accuracy | 19.951143828539127 | (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) | |
| accuracy | 0.0546875 | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) | |
| accuracy | 0.12109375 | (*.f64 (sin.f64 y) x) | |
| accuracy | 0.1484375 | (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) | |
| accuracy | 0.26171875 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.12109375 | (*.f64 (sin.f64 y) x) | |
| accuracy | 37.48666720874832 | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) | |
| accuracy | 0 | (fma.f64 y x z) | |
| accuracy | 28.975934808412713 | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.0546875 | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) | |
| accuracy | 0.12109375 | (*.f64 (sin.f64 y) x) |
| 131.0ms | 256× | 0 | valid |
Compiled 231 to 31 computations (86.6% saved)
ival-mult: 37.0ms (32.7% of total)ival-div: 31.0ms (27.4% of total)ival-cos: 22.0ms (19.4% of total)ival-sin: 6.0ms (5.3% of total)ival-add: 5.0ms (4.4% of total)ival-pow2: 5.0ms (4.4% of total)ival-pow: 4.0ms (3.5% of total)ival-neg: 2.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation:binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation:binary64>) () ()) |
#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation:binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (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 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation:binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (*.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))))) (patch (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))))) #<representation:binary64>) () ()) |
#s(alt (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) #<representation:binary64>) () ()) |
#s(alt (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #<representation:binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (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 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation:binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (* -1 (* z (cos y)))) x))))) (taylor -inf x) (#s(alt (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))))) (patch (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))))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (* -1 (* z (cos y)))) x))))) (taylor -inf x) (#s(alt (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))))) (patch (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))))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (taylor -inf x) (#s(alt (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) (taylor -inf x) (#s(alt (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) (taylor -inf x) (#s(alt (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3)) (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) (taylor -inf x) (#s(alt (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (pow (sin y) 2)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* x (pow (sin y) 2)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* x (pow (sin y) 2)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* x (pow (sin y) 2)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) x)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3))) x)) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation:binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | z | @ | -inf | ((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* (pow (sin y) 2) x) (pow (sin y) 2) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) |
| 6.0ms | x | @ | inf | ((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* (pow (sin y) 2) x) (pow (sin y) 2) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) |
| 6.0ms | y | @ | inf | ((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* (pow (sin y) 2) x) (pow (sin y) 2) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) |
| 4.0ms | z | @ | 0 | ((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* (pow (sin y) 2) x) (pow (sin y) 2) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) |
| 4.0ms | y | @ | -inf | ((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* (pow (sin y) 2) x) (pow (sin y) 2) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) |
| 1× | egg-herbie |
| 8 208× | lower-fma.f64 |
| 8 208× | lower-fma.f32 |
| 6 086× | lower-*.f64 |
| 6 086× | lower-*.f32 |
| 2 822× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 619 | 5682 |
| 1 | 2153 | 5432 |
| 2 | 7535 | 5410 |
| 0 | 8077 | 5116 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x y) |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x (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 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) |
(* (pow z 2) (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* x (sin y))))) |
(* (pow z 2) (- (* z (+ (* -1 (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3)))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(* (pow z 2) (- (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))) |
(* (pow z 2) (+ (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2))) (/ (pow (cos y) 2) (* x (sin y))))) |
(* (pow z 2) (+ (* z (- (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
z |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(/ 1 (* z (cos y))) |
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z) |
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z) |
(* z (cos y)) |
(* z (- (/ (* x (sin y)) z) (* -1 (cos y)))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (* -1 (cos y)))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (* -1 (cos y)))) |
(* z (cos y)) |
(* z (- (/ (* x (sin y)) z) (* -1 (cos y)))) |
(* z (- (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (* -1 (cos y)))) |
(* z (- (+ (/ (* x (sin y)) z) (+ (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))) (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2))))) (* -1 (cos y)))) |
(* -1 (* z (cos y))) |
(* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))) |
(* z (- (+ (* -1 (cos y)) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (/ (* x (sin y)) z))) |
(* z (- (+ (* -1 (cos y)) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2))))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
z |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(/ 1 (* z (cos y))) |
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(* z (cos y)) |
(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) (cos y)))) |
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z)) (* x (sin y))) z)) (cos y)))) |
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z)) (* x (sin y))) z)) (cos y)))) |
(* z (cos y)) |
(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) (cos y)))) |
(* -1 (* z (- (* -1 (/ (+ (* x (sin y)) (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) z)) (cos y)))) |
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))))) z)) (* x (sin y))) z)) (cos y)))) |
(* -1 (* z (cos y))) |
(* -1 (* z (+ (cos y) (/ (* x (sin y)) z)))) |
(* -1 (* z (+ (cos y) (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) (* x (sin y))) z))))) |
(* -1 (* z (+ (cos y) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y)))) z)) (* x (sin y))) z))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
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 (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(/ 1 z) |
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z)) |
(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (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)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)) |
z |
(- (* x y) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (/ (pow x 2) z))) z)))) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (+ (* y (- (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x))) (/ (pow x 3) (pow z 2)))) (/ (pow x 2) z)))) z)))) (* -1 z)) |
z |
(- (* x y) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* 1/2 z) (/ (pow x 2) z)) z)))) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* 1/2 z) (+ (* y (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x)))) (/ (pow x 2) z))) z)))) (* -1 z)) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2))))) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2))))))) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x))))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3)))) |
(* -1 z) |
(+ (* -1 z) (* -1 (* x y))) |
(+ (* -1 z) (* y (- (* y (- z (+ (* 1/2 z) (/ (pow x 2) z)))) x))) |
(+ (* -1 z) (* y (- (* y (- (+ z (* -1 (* y (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x)))))) (+ (* 1/2 z) (/ (pow x 2) z)))) x))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x y) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(+ (* x (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)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(+ (* x (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)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(/ 1 (* z (cos y))) |
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y)))) |
(+ (* x (- (/ (* 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)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))) |
(* z (cos y)) |
(- (* x (sin y)) (* -1 (* z (cos y)))) |
(- (* x (+ (sin y) (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))))) (* -1 (* z (cos y)))) |
(- (* x (+ (sin y) (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))))) (* -1 (* z (cos y)))) |
(* z (cos y)) |
(- (* x (sin y)) (* -1 (* z (cos y)))) |
(- (* x (+ (sin y) (/ (* x (pow (sin y) 2)) (* z (cos y))))) (* -1 (* z (cos y)))) |
(- (* x (+ (sin y) (* x (+ (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 2))) (/ (pow (sin y) 2) (* z (cos y))))))) (* -1 (* z (cos y)))) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* -1 (* z (cos y))) |
(+ (* -1 (* x (sin y))) (* -1 (* z (cos y)))) |
(+ (* -1 (* z (cos y))) (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* z (cos y)))) (sin y)))) |
(+ (* -1 (* z (cos y))) (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* z (cos y))))) (sin y)))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x y) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(/ 1 (* x (sin y))) |
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (pow x 2)))) (* -1 (/ (* z (cos y)) x)))) |
(* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (pow x 2)))) (* -1 (/ (* z (cos y)) x)))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) |
(/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3))))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 5) (pow (cos y) 5)) (* (pow x 3) (pow (sin y) 4)))))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))) |
(/ (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) x) |
(/ (- (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) x) |
(/ (- (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 5) (pow (cos y) 5)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))))) x) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(/ 1 (* x (sin y))) |
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (* -1 (* z (cos y)))) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (* -1 (* z (cos y)))) x))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) |
(* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3)) (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) x)) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3))) x)) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x)) |
| Outputs |
|---|
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x y) |
(*.f64 y x) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(* x (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 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) |
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(* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (pow x 2)))) (* -1 (/ (* z (cos y)) x)))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (-.f64 (sin.f64 y) (/.f64 #s(literal 0 binary64) (*.f64 x x)))) x) |
(* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (pow x 2)))) (* -1 (/ (* z (cos y)) x)))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (-.f64 (sin.f64 y) (/.f64 #s(literal 0 binary64) (*.f64 x x)))) x) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) |
(*.f64 (neg.f64 (*.f64 z (/.f64 z x))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y))) |
(/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (sin.f64 y)))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3))))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x) |
(/.f64 (neg.f64 (fma.f64 z (*.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y))) (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) x) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 5) (pow (cos y) 5)) (* (pow x 3) (pow (sin y) 4)))))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x) |
(/.f64 (fma.f64 (neg.f64 (*.f64 z z)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (fma.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) x) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 x)))) x) |
(* x (pow (sin y) 2)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(* x (pow (sin y) 2)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(* x (pow (sin y) 2)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(* x (pow (sin y) 2)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))) |
(*.f64 (*.f64 z z) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (sin.f64 y))) |
(/ (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) x) |
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (sin.f64 y))) x) |
(/ (- (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) x) |
(/.f64 (fma.f64 z (*.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y))) (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) x) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x)) x) |
(/ (- (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 5) (pow (cos y) 5)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))))) x) |
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (sin.f64 y))) (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) x) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 x))) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 z) x) y)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 z) x) y)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 z) x) y)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (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 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 (neg.f64 z) (/.f64 (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 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 (*.f64 z z)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) x))) (neg.f64 x))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))) |
(* -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 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))) |
(* -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 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) |
(*.f64 (neg.f64 (*.f64 z (/.f64 z x))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y))) |
(* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (sin.f64 y)))) x) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 z z) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) x) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (neg.f64 x))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3)) (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 z z) (/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 z #s(literal 3 binary64)) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)) x) (/.f64 (pow.f64 z #s(literal 5 binary64)) (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 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 x))) x)) (neg.f64 x)) |
(* x (pow (sin y) 2)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(* x (pow (sin y) 2)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(* x (pow (sin y) 2)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(* x (pow (sin y) 2)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))) |
(*.f64 (*.f64 z z) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (sin.f64 y))) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) x)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (sin.f64 y))) x) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 z z) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) x) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (neg.f64 x))) x) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3))) x)) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 z z) (/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 z #s(literal 3 binary64)) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)) x) (/.f64 (pow.f64 z #s(literal 5 binary64)) (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 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 x))) x))) x) |
| 5 464× | lower-fma.f32 |
| 5 456× | lower-fma.f64 |
| 4 668× | lower-/.f32 |
| 4 662× | lower-/.f64 |
| 3 956× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 148 |
| 0 | 50 | 115 |
| 1 | 187 | 115 |
| 2 | 1234 | 115 |
| 0 | 8368 | 115 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(cos.f64 y) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(fma.f64 y x z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #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))))) |
(neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (hypot.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3/2 binary64)))) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (-.f64 (hypot.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) (/.f64 (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -2 binary64)))) #s(literal -1 binary64))) |
Compiled 119 561 to 3 698 computations (96.9% saved)
33 alts after pruning (30 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 532 | 29 | 2 561 |
| Fresh | 10 | 1 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 544 | 33 | 2 577 |
| Status | Accuracy | Program |
|---|---|---|
| 82.0% | (fma.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (cos.f64 y)) #s(literal -1 binary64)) (/.f64 z (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) | |
| ▶ | 93.5% | (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))) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
| 70.0% | (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 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (neg.f64 z)))) | |
| 34.7% | (fma.f64 (*.f64 (exp.f64 (*.f64 (log.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 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 57.6% | (fma.f64 (cos.f64 y) z #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) | |
| ▶ | 65.7% | (fma.f64 (cos.f64 y) z #s(approx (* (sin y) x) (*.f64 y x))) |
| 77.6% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) | |
| 50.3% | (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) | |
| ▶ | 50.3% | (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) #s(literal 2 binary64)) |
| 31.6% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) | |
| 36.7% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (/.f64 (neg.f64 x) z) (/.f64 y z) (/.f64 #s(literal 1 binary64) z)))) | |
| 34.7% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)))) | |
| 58.3% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.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)))) | |
| 58.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) | |
| 37.8% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z))) | |
| 56.4% | (+.f64 #s(approx (* x (sin y)) (*.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)) (*.f64 z (cos.f64 y))) | |
| 53.6% | #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (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)) | |
| 53.9% | #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) | |
| 92.7% | #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) | |
| 92.0% | #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) | |
| 58.3% | #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) | |
| ✓ | 54.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 54.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) | |
| 54.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (+.f64 (*.f64 x y) z)) | |
| 24.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x)) | |
| ✓ | 41.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
| 52.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z))) | |
| 50.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) | |
| ▶ | 52.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
| ▶ | 19.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
| 19.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) | |
| 19.3% | #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 892 to 678 computations (24% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) | |
| cost-diff | 7104 | (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (* (sin y) x) (*.f64 y x)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) z #s(approx (* (sin y) x) (*.f64 y x))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) | |
| cost-diff | 1280 | (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (* y x) z) (*.f64 y x)) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) | |
| cost-diff | 0 | (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | (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))) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))) | |
| cost-diff | 128 | (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) | |
| cost-diff | 576 | (/.f64 z #s(literal -1 binary64)) |
| 2 824× | lower-fma.f32 |
| 2 814× | lower-fma.f64 |
| 2 488× | lower-*.f32 |
| 2 472× | lower-*.f64 |
| 1 624× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 320 |
| 0 | 73 | 320 |
| 1 | 126 | 314 |
| 2 | 240 | 311 |
| 3 | 591 | 309 |
| 4 | 2024 | 295 |
| 5 | 3937 | 295 |
| 6 | 4874 | 295 |
| 7 | 5612 | 295 |
| 8 | 6074 | 295 |
| 9 | 6180 | 295 |
| 10 | 6207 | 295 |
| 11 | 7023 | 295 |
| 12 | 7410 | 295 |
| 13 | 7463 | 295 |
| 14 | 7489 | 295 |
| 15 | 7506 | 295 |
| 16 | 7514 | 295 |
| 17 | 7514 | 295 |
| 0 | 8206 | 288 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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))) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
x |
(/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(neg.f64 z) |
z |
(cos.f64 y) |
(*.f64 (sin.f64 y) x) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(/.f64 z #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) |
(*.f64 x (sin.f64 y)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (+ (* y x) z) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) |
(neg.f64 z) |
z |
(fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) |
(neg.f64 x) |
x |
(/.f64 y z) |
y |
#s(literal -1 binary64) |
(fma.f64 (cos.f64 y) z #s(approx (* (sin y) x) (*.f64 y x))) |
(cos.f64 y) |
y |
z |
#s(approx (* (sin y) x) (*.f64 y x)) |
(*.f64 y x) |
x |
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) #s(literal 2 binary64)) |
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
z |
(cos.f64 y) |
y |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
#s(literal 2 binary64) |
| Outputs |
|---|
(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))) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) (*.f64 x x) (*.f64 (*.f64 (/.f64 (cos.f64 y) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))) (cos.f64 y)) (*.f64 z z))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
x |
(/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(/.f64 x (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) |
(neg.f64 z) |
z |
(cos.f64 y) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(*.f64 (*.f64 (/.f64 (cos.f64 y) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))) (cos.f64 y)) (*.f64 z z)) |
(/.f64 z #s(literal -1 binary64)) |
(neg.f64 z) |
#s(literal -1 binary64) |
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 (*.f64 (cos.f64 y) z) (cos.f64 y)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) |
(*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) |
(*.f64 (*.f64 (cos.f64 y) z) (cos.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) |
(*.f64 x (sin.f64 y)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (+ (* y x) z) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 y x z))) |
#s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) |
#s(approx (+ (* y x) z) (fma.f64 y x z)) |
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) |
(fma.f64 y x z) |
(neg.f64 z) |
z |
(fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) |
(fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64)) |
(neg.f64 x) |
x |
(/.f64 y z) |
y |
#s(literal -1 binary64) |
(fma.f64 (cos.f64 y) z #s(approx (* (sin y) x) (*.f64 y x))) |
(cos.f64 y) |
y |
z |
#s(approx (* (sin y) x) (*.f64 y x)) |
(*.f64 y x) |
x |
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) #s(literal 2 binary64)) |
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
z |
(cos.f64 y) |
y |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0234375 | (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) | |
| accuracy | 0.05078125 | (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) | |
| accuracy | 0.05859375 | (*.f64 x (sin.f64 y)) | |
| accuracy | 0.270195019536884 | (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) #s(literal 2 binary64)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.0234375 | (fma.f64 (cos.f64 y) z #s(approx (* (sin y) x) (*.f64 y x))) | |
| accuracy | 14.38080888908803 | #s(approx (* (sin y) x) (*.f64 y x)) | |
| accuracy | 0 | #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) | |
| accuracy | 1.4421559392841161 | (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) | |
| accuracy | 2.873582154968327 | (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) | |
| accuracy | 14.209603486432165 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 13.777784388434732 | #s(approx (+ (* y x) z) (*.f64 y x)) | |
| accuracy | 14.209603486432165 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) | |
| accuracy | 0.09375 | (pow.f64 (sin.f64 y) #s(literal 2 binary64)) | |
| accuracy | 0.1171875 | (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) | |
| accuracy | 0.9672135633495192 | (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))) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))) | |
| accuracy | 3.579184546731033 | (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
| 55.0ms | 126× | 0 | invalid |
| 52.0ms | 130× | 0 | valid |
Compiled 286 to 38 computations (86.7% saved)
ival-mult: 19.0ms (27.6% of total)ival-div: 14.0ms (20.4% of total)ival-add: 12.0ms (17.5% of total)ival-sin: 9.0ms (13.1% of total)ival-cos: 5.0ms (7.3% of total)ival-pow2: 5.0ms (7.3% of total)ival-sqrt: 2.0ms (2.9% of total)ival-neg: 2.0ms (2.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 z #s(literal -1 binary64)) (patch (/.f64 z #s(literal -1 binary64)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) (patch (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) #<representation:binary64>) () ()) |
#s(alt (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))) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))) (patch (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))) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ (* y x) z) (*.f64 y x)) (patch #s(approx (+ (* y x) z) (*.f64 y x)) #<representation:binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation:binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) (patch #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) #<representation:binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (cos.f64 y) z #s(approx (* (sin y) x) (*.f64 y x))) (patch (fma.f64 (cos.f64 y) z #s(approx (* (sin y) x) (*.f64 y x))) #<representation:binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation:binary64>) () ()) |
#s(alt #s(approx (* (sin y) x) (*.f64 y x)) (patch #s(approx (* (sin y) x) (*.f64 y x)) #<representation:binary64>) () ()) |
#s(alt (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) #s(literal 2 binary64)) (patch (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) #s(literal 2 binary64)) #<representation:binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) (patch (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) #<representation:binary64>) () ()) |
#s(alt (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (patch (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #<representation:binary64>) () ()) |
#s(alt (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (patch (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) #<representation:binary64>) () ()) |
#s(alt (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (patch (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) #<representation:binary64>) () ()) |
#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 z #s(literal -1 binary64)) (patch (/.f64 z #s(literal -1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 z #s(literal -1 binary64)) (patch (/.f64 z #s(literal -1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 z #s(literal -1 binary64)) (patch (/.f64 z #s(literal -1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 z #s(literal -1 binary64)) (patch (/.f64 z #s(literal -1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (taylor 0 z) (#s(alt (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) (patch (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2)))) (* -1 (/ (pow (cos y) 2) (* x (sin y)))))) (taylor 0 z) (#s(alt (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) (patch (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (* z (+ (* -1 (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3)))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))))) (taylor 0 z) (#s(alt (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) (patch (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))))))) (taylor 0 z) (#s(alt (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) (patch (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (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))) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))) (patch (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))) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (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))) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))) (patch (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))) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (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))) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))) (patch (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))) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (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))) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))) (patch (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))) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 y x)) (patch #s(approx (+ (* y x) z) (*.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 y x)) (patch #s(approx (+ (* y x) z) (*.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 y x)) (patch #s(approx (+ (* y x) z) (*.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 y x)) (patch #s(approx (+ (* y x) z) (*.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) (patch #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) (patch #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) (patch #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) (patch #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation:binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | z | @ | 0 | ((/ z -1) (* (/ z -1) (/ (* (cos y) (* z (cos y))) (+ (* (neg z) (cos y)) (* x (sin y))))) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (* (/ z -1) (/ (* (cos y) (* z (cos y))) (+ (* (neg z) (cos y)) (* x (sin y)))))) (* (pow (sin y) 2) x) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (neg z) (+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (sqrt (+ (* z (cos y)) (* x (sin y)))) (+ (* z (cos y)) (* x (sin y))) (/ (* (cos y) (* z (cos y))) (+ (* (neg z) (cos y)) (* x (sin y)))) (pow (sin y) 2) (+ (* (neg x) (/ y z)) -1) (* x (sin y))) |
| 26.0ms | x | @ | inf | ((/ z -1) (* (/ z -1) (/ (* (cos y) (* z (cos y))) (+ (* (neg z) (cos y)) (* x (sin y))))) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (* (/ z -1) (/ (* (cos y) (* z (cos y))) (+ (* (neg z) (cos y)) (* x (sin y)))))) (* (pow (sin y) 2) x) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (neg z) (+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (sqrt (+ (* z (cos y)) (* x (sin y)))) (+ (* z (cos y)) (* x (sin y))) (/ (* (cos y) (* z (cos y))) (+ (* (neg z) (cos y)) (* x (sin y)))) (pow (sin y) 2) (+ (* (neg x) (/ y z)) -1) (* x (sin y))) |
| 9.0ms | z | @ | -inf | ((/ z -1) (* (/ z -1) (/ (* (cos y) (* z (cos y))) (+ (* (neg z) (cos y)) (* x (sin y))))) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (* (/ z -1) (/ (* (cos y) (* z (cos y))) (+ (* (neg z) (cos y)) (* x (sin y)))))) (* (pow (sin y) 2) x) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (neg z) (+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (sqrt (+ (* z (cos y)) (* x (sin y)))) (+ (* z (cos y)) (* x (sin y))) (/ (* (cos y) (* z (cos y))) (+ (* (neg z) (cos y)) (* x (sin y)))) (pow (sin y) 2) (+ (* (neg x) (/ y z)) -1) (* x (sin y))) |
| 6.0ms | y | @ | -inf | ((/ z -1) (* (/ z -1) (/ (* (cos y) (* z (cos y))) (+ (* (neg z) (cos y)) (* x (sin y))))) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (* (/ z -1) (/ (* (cos y) (* z (cos y))) (+ (* (neg z) (cos y)) (* x (sin y)))))) (* (pow (sin y) 2) x) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (neg z) (+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (sqrt (+ (* z (cos y)) (* x (sin y)))) (+ (* z (cos y)) (* x (sin y))) (/ (* (cos y) (* z (cos y))) (+ (* (neg z) (cos y)) (* x (sin y)))) (pow (sin y) 2) (+ (* (neg x) (/ y z)) -1) (* x (sin y))) |
| 5.0ms | x | @ | -inf | ((/ z -1) (* (/ z -1) (/ (* (cos y) (* z (cos y))) (+ (* (neg z) (cos y)) (* x (sin y))))) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (* (/ z -1) (/ (* (cos y) (* z (cos y))) (+ (* (neg z) (cos y)) (* x (sin y)))))) (* (pow (sin y) 2) x) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (neg z) (+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (sqrt (+ (* z (cos y)) (* x (sin y)))) (+ (* z (cos y)) (* x (sin y))) (/ (* (cos y) (* z (cos y))) (+ (* (neg z) (cos y)) (* x (sin y)))) (pow (sin y) 2) (+ (* (neg x) (/ y z)) -1) (* x (sin y))) |
| 1× | egg-herbie |
| 9 690× | lower-fma.f64 |
| 9 690× | lower-fma.f32 |
| 7 124× | lower-*.f64 |
| 7 124× | lower-*.f32 |
| 3 218× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 644 | 7066 |
| 1 | 2181 | 6815 |
| 2 | 7543 | 6774 |
| 0 | 8031 | 6405 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) |
(* (pow z 2) (+ (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2)))) (* -1 (/ (pow (cos y) 2) (* x (sin y)))))) |
(* (pow z 2) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (* z (+ (* -1 (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3)))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))))) |
(* (pow z 2) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))))))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x y) |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x y) |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x y) |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(sqrt (* x (sin y))) |
(+ (sqrt (* x (sin y))) (* 1/2 (* (sqrt (/ 1 (* x (sin y)))) (* z (cos y))))) |
(+ (sqrt (* x (sin y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow (sin y) 3)))) (* z (pow (cos y) 2)))) (* 1/2 (* (sqrt (/ 1 (* x (sin y)))) (cos y)))))) |
(+ (sqrt (* x (sin y))) (* z (+ (* 1/2 (* (sqrt (/ 1 (* x (sin y)))) (cos y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow (sin y) 3)))) (pow (cos y) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow (sin y) 5)))) (* z (pow (cos y) 3))))))))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(/ (* z (pow (cos y) 2)) (* x (sin y))) |
(* z (+ (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2))) (/ (pow (cos y) 2) (* x (sin y))))) |
(* z (+ (* z (- (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(* z (+ (* z (- (* z (- (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(* -1 (/ (* x y) z)) |
(/ (+ (* -1 z) (* -1 (* x y))) z) |
(/ (+ (* -1 z) (* -1 (* x y))) z) |
(/ (+ (* -1 z) (* -1 (* x y))) z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))))) |
(* z (+ (cos y) (+ (/ (* x (sin y)) z) (+ (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))) (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2))))))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))))) |
(* z (+ (cos y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
z |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
z |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
z |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(sqrt (* z (cos y))) |
(* z (+ (sqrt (/ (cos y) z)) (* 1/2 (* (* x (sin y)) (sqrt (/ 1 (* (pow z 3) (cos y)))))))) |
(* z (+ (sqrt (/ (cos y) z)) (+ (* -1/8 (* (* (pow x 2) (pow (sin y) 2)) (sqrt (/ 1 (* (pow z 5) (pow (cos y) 3)))))) (* 1/2 (* (* x (sin y)) (sqrt (/ 1 (* (pow z 3) (cos y))))))))) |
(* z (+ (sqrt (/ (cos y) z)) (+ (* -1/8 (* (* (pow x 2) (pow (sin y) 2)) (sqrt (/ 1 (* (pow z 5) (pow (cos y) 3)))))) (+ (* 1/16 (* (* (pow x 3) (pow (sin y) 3)) (sqrt (/ 1 (* (pow z 7) (pow (cos y) 5)))))) (* 1/2 (* (* x (sin y)) (sqrt (/ 1 (* (pow z 3) (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))) |
(* -1 (cos y)) |
(+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))) |
(- (+ (* -1 (cos y)) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (/ (* x (sin y)) z)) |
(- (+ (* -1 (cos y)) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2))))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) |
-1 |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ (* x (sin y)) (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))))) z)) (* x (sin y))) z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z)) (* x (sin y))) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z)) (* x (sin y))) z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
z |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
z |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* (sqrt (* z (cos y))) (pow (sqrt -1) 2))) |
(* -1 (* z (+ (* 1/2 (* (* x (sin y)) (sqrt (/ 1 (* (pow z 3) (cos y)))))) (* (sqrt (/ (cos y) z)) (pow (sqrt -1) 2))))) |
(* -1 (* z (+ (* -1/8 (* (/ (* (pow x 2) (pow (sin y) 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (cos y) 3)))))) (+ (* 1/2 (* (* x (sin y)) (sqrt (/ 1 (* (pow z 3) (cos y)))))) (* (sqrt (/ (cos y) z)) (pow (sqrt -1) 2)))))) |
(* -1 (* z (+ (* -1/8 (* (/ (* (pow x 2) (pow (sin y) 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (cos y) 3)))))) (+ (* 1/16 (* (/ (* (pow x 3) (pow (sin y) 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 (* (pow z 7) (pow (cos y) 5)))))) (+ (* 1/2 (* (* x (sin y)) (sqrt (/ 1 (* (pow z 3) (cos y)))))) (* (sqrt (/ (cos y) z)) (pow (sqrt -1) 2))))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (cos y)) |
(+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))) |
(+ (* -1 (cos y)) (* -1 (/ (+ (* x (sin y)) (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) z))) |
(+ (* -1 (cos y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))))) z)) (* x (sin y))) z))) |
-1 |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1 (* y (- z (+ (* 1/2 z) (/ (pow x 2) z)))))))) |
(+ z (* y (+ x (* y (+ (* -1 (- z (+ (* 1/2 z) (/ (pow x 2) z)))) (* y (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x))))))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* y (+ (* -1 (- z (+ (* 1/2 z) (/ (pow x 2) z)))) (* -1 (/ (pow x 2) z))))))) |
(+ z (* y (+ x (* y (+ (* -1 (- z (+ (* 1/2 z) (/ (pow x 2) z)))) (+ (* -1 (/ (pow x 2) z)) (* y (- (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x))) (/ (pow x 3) (pow z 2)))))))))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2))))) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2))))))) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x))))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(sqrt z) |
(+ (sqrt z) (* 1/2 (* (* x y) (sqrt (/ 1 z))))) |
(+ (sqrt z) (* y (+ (* 1/2 (* x (sqrt (/ 1 z)))) (* 1/2 (* (* y (- (* -1/2 z) (* 1/4 (/ (pow x 2) z)))) (sqrt (/ 1 z))))))) |
(+ (sqrt z) (* y (+ (* 1/2 (* x (sqrt (/ 1 z)))) (* y (+ (* 1/2 (* (sqrt (/ 1 z)) (- (* -1/2 z) (* 1/4 (/ (pow x 2) z))))) (* 1/2 (* (* y (- (* -1/6 x) (* 1/2 (/ (* x (- (* -1/2 z) (* 1/4 (/ (pow x 2) z)))) z)))) (sqrt (/ 1 z))))))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
-1 |
(- (* -1 (/ (* x y) z)) 1) |
(- (* y (- (* y (- 1/2 (/ (pow x 2) (pow z 2)))) (/ x z))) 1) |
(- (* y (- (* y (- (+ 1/2 (* -1 (* y (+ (* -1 (/ (* x (- 1/2 (/ (pow x 2) (pow z 2)))) z)) (+ (* -1/6 (/ x z)) (* 1/2 (/ x z))))))) (/ (pow x 2) (pow z 2)))) (/ x z))) 1) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3)))) |
-1 |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x y) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x y) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(sqrt (+ (* x (sin y)) (* z (cos y)))) |
(sqrt (+ (* x (sin y)) (* z (cos y)))) |
(sqrt (+ (* x (sin y)) (* z (cos y)))) |
(sqrt (+ (* 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)) (* z (cos y))) |
(/ (* z (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (* z (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (* z (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (* z (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(* -1 (/ (* x y) z)) |
(* y (- (* -1 (/ x z)) (/ 1 y))) |
(* y (- (* -1 (/ x z)) (/ 1 y))) |
(* y (- (* -1 (/ x z)) (/ 1 y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(sqrt (+ (* x (sin y)) (* z (cos y)))) |
(sqrt (+ (* x (sin y)) (* z (cos y)))) |
(sqrt (+ (* x (sin y)) (* z (cos y)))) |
(sqrt (+ (* 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)) (* z (cos y))) |
(/ (* z (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (* z (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (* z (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (* z (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(* -1 (/ (* x y) z)) |
(* -1 (* y (+ (/ 1 y) (/ x z)))) |
(* -1 (* y (+ (/ 1 y) (/ x z)))) |
(* -1 (* y (+ (/ 1 y) (/ x z)))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (+ (sin y) (/ (* x (pow (sin y) 2)) (* z (cos y))))) (* z (cos y))) |
(+ (* x (+ (sin y) (* x (+ (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 2))) (/ (pow (sin y) 2) (* z (cos y))))))) (* z (cos y))) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (+ (sin y) (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))))) (* z (cos y))) |
(+ (* x (+ (sin y) (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))))) (* z (cos y))) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(sqrt (* z (cos y))) |
(+ (sqrt (* z (cos y))) (* 1/2 (* (* x (sin y)) (sqrt (/ 1 (* z (cos y))))))) |
(+ (sqrt (* z (cos y))) (* x (+ (* -1/8 (* (* x (pow (sin y) 2)) (sqrt (/ 1 (* (pow z 3) (pow (cos y) 3)))))) (* 1/2 (* (sqrt (/ 1 (* z (cos y)))) (sin y)))))) |
(+ (sqrt (* z (cos y))) (* x (+ (* 1/2 (* (sqrt (/ 1 (* z (cos y)))) (sin y))) (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow z 3) (pow (cos y) 3)))) (pow (sin y) 2))) (* 1/16 (* (* x (pow (sin y) 3)) (sqrt (/ 1 (* (pow z 5) (pow (cos y) 5))))))))))) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* -1 (cos y)) |
(+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))) |
(+ (* -1 (cos y)) (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* (pow z 2) (cos y)))) (/ (sin y) z)))) |
(+ (* -1 (cos y)) (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* (pow z 2) (cos y))))) (/ (sin y) z)))) |
-1 |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) |
(/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) x) |
(/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))))) x) |
(/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 5) (pow (cos y) 5)) (* (pow x 3) (pow (sin y) 4))))))) 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 (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x y) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x y) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(sqrt (* x (sin y))) |
(* x (+ (sqrt (/ (sin y) x)) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (sin y)))) (* z (cos y)))))) |
(* x (+ (sqrt (/ (sin y) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (sin y) 3)))) (* (pow z 2) (pow (cos y) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (sin y)))) (* z (cos y))))))) |
(* x (+ (sqrt (/ (sin y) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (sin y) 3)))) (* (pow z 2) (pow (cos y) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (sin y) 5)))) (* (pow z 3) (pow (cos y) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (sin y)))) (* z (cos 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))) |
(/ (* z (pow (cos y) 2)) (* x (sin y))) |
(/ (+ (/ (* z (pow (cos y) 2)) (sin y)) (/ (* (pow z 2) (pow (cos y) 3)) (* x (pow (sin y) 2)))) x) |
(/ (- (+ (/ (* z (pow (cos y) 2)) (sin y)) (/ (* (pow z 3) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 2) (pow (cos y) 3)) (* x (pow (sin y) 2))))) x) |
(/ (- (+ (/ (* z (pow (cos y) 2)) (sin y)) (/ (* (pow z 4) (pow (cos y) 5)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 3) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))))) x) |
(* -1 (/ (* x y) z)) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) |
(* -1 (/ (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))))) x)) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3)) (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) x))) x)) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* (sqrt (* x (sin y))) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (sin y)))) (* z (cos y)))) (* (sqrt (/ (sin y) x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (sin y) 3)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (sin y)))) (* z (cos y)))) (* (sqrt (/ (sin y) x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (sin y) 3)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (sin y) 5)))) (/ (* (pow z 3) (pow (cos y) 3)) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (sin y)))) (* z (cos y)))) (* (sqrt (/ (sin y) x)) (pow (sqrt -1) 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))))) |
(/ (* z (pow (cos y) 2)) (* x (sin y))) |
(* -1 (/ (+ (* -1 (/ (* z (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow z 2) (pow (cos y) 3)) (* x (pow (sin y) 2))))) x)) |
(* -1 (/ (+ (* -1 (/ (* z (pow (cos y) 2)) (sin y))) (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 4)) (* x (pow (sin y) 3))) (* -1 (/ (* (pow z 2) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (/ (* z (pow (cos y) 2)) (sin y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 4) (pow (cos y) 5)) (* x (pow (sin y) 4)))) (/ (* (pow z 3) (pow (cos y) 4)) (pow (sin y) 3))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x)) |
(* -1 (/ (* x y) z)) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
| Outputs |
|---|
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) |
(*.f64 (neg.f64 (*.f64 z (/.f64 z x))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y))) |
(* (pow z 2) (+ (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2)))) (* -1 (/ (pow (cos y) 2) (* x (sin y)))))) |
(*.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) x) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (sin.f64 y)))) z) z) |
(* (pow z 2) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (* z (+ (* -1 (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3)))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))))) |
(*.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)))) z (/.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (sin.f64 y)) x)) (*.f64 z z)) |
(* (pow z 2) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) z (/.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x))) z (/.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (sin.f64 y)) x)) (*.f64 z z)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(* x y) |
(*.f64 x y) |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* x y)) |
(fma.f64 x y z) |
(* x y) |
(*.f64 x y) |
(+ z (* x y)) |
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(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) |
(*.f64 (neg.f64 (*.f64 z (/.f64 z x))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y))) |
(* -1 (/ (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) x)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (sin.f64 y))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))))) x)) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x)) |
(/.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (sin.f64 y)) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x)) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3)) (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) x))) x)) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x)) |
(/.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (sin.f64 y)) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)) x) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) x))) x)) (neg.f64 x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)))) |
(* x (pow (sin y) 2)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(* x (pow (sin y) 2)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(* x (pow (sin y) 2)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(* x (pow (sin y) 2)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)))) |
(* x y) |
(*.f64 x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 z) x) y) (neg.f64 x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 z) x) y) (neg.f64 x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 z) x) y) (neg.f64 x)) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 z) x) y) (neg.f64 x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 z) x) y) (neg.f64 x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 z) x) y) (neg.f64 x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)))) |
(* x y) |
(*.f64 x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 z) x) y) (neg.f64 x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 z) x) y) (neg.f64 x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 z) x) y) (neg.f64 x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)))) |
(* 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))))) |
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)))) |
(* -1 (* (sqrt (* x (sin y))) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (sin.f64 y) x))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (sin y)))) (* z (cos y)))) (* (sqrt (/ (sin y) x)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 y) z)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (sin y) 3)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (sin y)))) (* z (cos y)))) (* (sqrt (/ (sin y) x)) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 y) z)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) x)) #s(literal -1 binary64)))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (sin y) 3)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (sin y) 5)))) (/ (* (pow z 3) (pow (cos y) 3)) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (sin y)))) (* z (cos y)))) (* (sqrt (/ (sin y) x)) (pow (sqrt -1) 2))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 5 binary64))) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 y) z)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) x)) #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))))) |
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)))) |
(/ (* z (pow (cos y) 2)) (* x (sin y))) |
(*.f64 (/.f64 z (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) |
(* -1 (/ (+ (* -1 (/ (* z (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow z 2) (pow (cos y) 3)) (* x (pow (sin y) 2))))) x)) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 z (sin.f64 y)) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) z) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (* z (pow (cos y) 2)) (sin y))) (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 4)) (* x (pow (sin y) 3))) (* -1 (/ (* (pow z 2) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 z (sin.f64 y)) (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) x) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x))) x) |
(* -1 (/ (+ (* -1 (/ (* z (pow (cos y) 2)) (sin y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 4) (pow (cos y) 5)) (* x (pow (sin y) 4)))) (/ (* (pow z 3) (pow (cos y) 4)) (pow (sin y) 3))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 z (sin.f64 y)) (/.f64 (fma.f64 z (*.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)) x) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 x))) x))) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 x) (/.f64 y z)) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
| 4 446× | lower-/.f32 |
| 4 438× | lower-/.f64 |
| 4 232× | lower-*.f32 |
| 4 216× | lower-*.f64 |
| 3 470× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 236 |
| 0 | 73 | 236 |
| 1 | 269 | 221 |
| 2 | 1812 | 220 |
| 0 | 8346 | 216 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 z #s(literal -1 binary64)) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(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))) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (+ (* y x) z) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) |
(neg.f64 z) |
(fma.f64 (cos.f64 y) z #s(approx (* (sin y) x) (*.f64 y x))) |
(cos.f64 y) |
#s(approx (* (sin y) x) (*.f64 y x)) |
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) #s(literal 2 binary64)) |
(sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) |
(*.f64 x (sin.f64 y)) |
| Outputs |
|---|
(*.f64 #s(literal 1 binary64) (neg.f64 z)) |
(*.f64 (neg.f64 z) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 z #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) z) |
(*.f64 z #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z))) (neg.f64 (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) |
(/.f64 (*.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (neg.f64 z) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) z))) |
(/.f64 z #s(literal -1 binary64)) |
(neg.f64 (/.f64 z #s(literal 1 binary64))) |
(neg.f64 z) |
(-.f64 #s(literal 0 binary64) (/.f64 z #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) z) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (neg.f64 z)) |
(*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (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 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 (sin.f64 y) x))) |
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(*.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 -1 binary64)) |
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(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) (*.f64 (/.f64 y z) (*.f64 (neg.f64 x) #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y z) x) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y z) x) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y z) x) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (/.f64 y z) #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (*.f64 (neg.f64 x) y) (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 y z) (neg.f64 x) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) |
(fma.f64 x (neg.f64 (/.f64 y z)) #s(literal -1 binary64)) |
(fma.f64 y (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 x)) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 y z) x) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 y z) (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 y z) x)) |
(+.f64 (*.f64 (/.f64 y z) (neg.f64 x)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 y z) (neg.f64 x))) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
Compiled 64 588 to 3 980 computations (93.8% saved)
42 alts after pruning (37 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 719 | 17 | 1 736 |
| Fresh | 5 | 20 | 25 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 727 | 42 | 1 769 |
| Status | Accuracy | Program |
|---|---|---|
| 58.9% | (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) x) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) | |
| 82.0% | (fma.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (cos.f64 y)) #s(literal -1 binary64)) (/.f64 z (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) | |
| 93.3% | (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))) (/.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 #s(literal -1 binary64) z))) | |
| ▶ | 93.4% | (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))) (/.f64 (neg.f64 z) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)))) |
| 70.0% | (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 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (neg.f64 z)))) | |
| 81.4% | (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))) | |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 57.6% | (fma.f64 (cos.f64 y) z #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) | |
| ✓ | 65.7% | (fma.f64 (cos.f64 y) z #s(approx (* (sin y) x) (*.f64 y x))) |
| 53.4% | (fma.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z #s(approx (* (sin y) x) (*.f64 y x))) | |
| 53.4% | (fma.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z #s(approx (* (sin y) x) (*.f64 y x))) | |
| 53.6% | (fma.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z #s(approx (* (sin y) x) (*.f64 y x))) | |
| ▶ | 77.6% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) |
| 50.3% | (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) | |
| 23.6% | (pow.f64 (sqrt.f64 #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) | |
| 26.6% | (pow.f64 (sqrt.f64 #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 (cos.f64 y) z))) #s(literal 2 binary64)) | |
| 31.6% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) | |
| 36.7% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (/.f64 (neg.f64 x) z) (/.f64 y z) (/.f64 #s(literal 1 binary64) z)))) | |
| 58.3% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.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)))) | |
| 58.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) | |
| 37.8% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z))) | |
| 56.4% | (+.f64 #s(approx (* x (sin y)) (*.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)) (*.f64 z (cos.f64 y))) | |
| 53.9% | #s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) | |
| ▶ | 87.8% | #s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z)) |
| 58.3% | #s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 (cos.f64 y) z)) | |
| ▶ | 53.6% | #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (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)) |
| 92.7% | #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) | |
| 92.0% | #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) | |
| ✓ | 54.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 54.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) | |
| 24.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x)) | |
| ✓ | 41.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
| 52.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z))) | |
| 45.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 y z) (*.f64 (neg.f64 x) (neg.f64 z)) (*.f64 #s(literal 1 binary64) z)))) | |
| 30.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) | |
| 51.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) | |
| 50.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) | |
| 16.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 x) (/.f64 y z)))))) | |
| ▶ | 37.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
| ✓ | 19.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
| 19.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) | |
| 19.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
Compiled 1 229 to 903 computations (26.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) | |
| cost-diff | 0 | #s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z)) | |
| cost-diff | 704 | (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) x) | |
| cost-diff | 0 | #s(approx (cos y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) | |
| cost-diff | 0 | #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) | |
| cost-diff | 0 | (pow.f64 (sin.f64 y) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) | |
| cost-diff | 768 | (/.f64 (neg.f64 z) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) | |
| cost-diff | 5824 | (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) |
| 7 308× | lower-fma.f32 |
| 7 294× | lower-fma.f64 |
| 3 328× | lower-*.f32 |
| 3 314× | lower-*.f64 |
| 1 778× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 348 |
| 0 | 89 | 348 |
| 1 | 148 | 337 |
| 2 | 260 | 337 |
| 3 | 586 | 337 |
| 4 | 1316 | 327 |
| 5 | 3574 | 327 |
| 6 | 6669 | 327 |
| 0 | 8234 | 319 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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))) (/.f64 (neg.f64 z) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
x |
(/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(neg.f64 z) |
z |
(cos.f64 y) |
(*.f64 (sin.f64 y) x) |
(/.f64 (neg.f64 z) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) |
(/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))) |
(neg.f64 z) |
z |
#s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) |
#s(literal -1/6 binary64) |
(*.f64 y x) |
y |
x |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z)) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z) |
(fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) |
(sin.f64 y) |
y |
(/.f64 x z) |
x |
z |
(cos.f64 y) |
| Outputs |
|---|
(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))) (/.f64 (neg.f64 z) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)))) |
(neg.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))) (*.f64 x x) (/.f64 (*.f64 (cos.f64 y) z) (fma.f64 (/.f64 x (cos.f64 y)) (/.f64 (sin.f64 y) z) #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
x |
(/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(/.f64 x (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) |
(neg.f64 z) |
z |
(cos.f64 y) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(/.f64 (neg.f64 z) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) |
(/.f64 (*.f64 (*.f64 (cos.f64 y) z) z) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 x (cos.f64 y)) z)) |
(/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) |
(/.f64 (fma.f64 (/.f64 x (cos.f64 y)) (/.f64 (sin.f64 y) z) #s(literal -1 binary64)) (cos.f64 y)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* y x) z) (*.f64 #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) (neg.f64 z)))) |
#s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))) |
#s(approx (+ (* y x) z) (*.f64 #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) (neg.f64 z))) |
(*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))) |
(*.f64 #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) (neg.f64 z)) |
(neg.f64 z) |
z |
#s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (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 (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) |
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) y x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) |
(fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) |
#s(literal -1/6 binary64) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y))) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
y |
x |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z) |
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
(fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(sin.f64 y) |
y |
(/.f64 x z) |
x |
z |
(cos.f64 y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0 | #s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z)) | |
| accuracy | 1.9316928448128903 | (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) | |
| accuracy | 2.428403961042139 | (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.0234375 | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) | |
| accuracy | 0.05859375 | (*.f64 (sin.f64 y) x) | |
| accuracy | 12.973734646408204 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) | |
| accuracy | 0.01953125 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) | |
| accuracy | 0.0703125 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) | |
| accuracy | 14.42799691217166 | #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| accuracy | 0 | #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))) | |
| accuracy | 2.873582154968327 | (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))) | |
| accuracy | 14.209603486432165 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) | |
| accuracy | 18.89997150078591 | #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) | |
| accuracy | 0.09375 | (pow.f64 (sin.f64 y) #s(literal 2 binary64)) | |
| accuracy | 0.140625 | (pow.f64 (cos.f64 y) #s(literal 2 binary64)) | |
| accuracy | 0.9672135633495192 | (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))) (/.f64 (neg.f64 z) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)))) | |
| accuracy | 3.579184546731033 | (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
| 88.0ms | 126× | 0 | invalid |
| 83.0ms | 130× | 0 | valid |
Compiled 298 to 53 computations (82.2% saved)
ival-cos: 41.0ms (27.5% of total)ival-pow2: 29.0ms (19.4% of total)ival-mult: 26.0ms (17.4% of total)ival-add: 12.0ms (8% of total)ival-neg: 12.0ms (8% of total)ival-div: 11.0ms (7.4% of total)ival-sin: 6.0ms (4% of total)const: 4.0ms (2.7% of total)ival-pow: 4.0ms (2.7% of total)ival-sqrt: 2.0ms (1.3% 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 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (patch (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) #<representation:binary64>) () ()) |
#s(alt (/.f64 (neg.f64 z) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) (patch (/.f64 (neg.f64 z) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) #<representation:binary64>) () ()) |
#s(alt (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))) (patch #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))) #<representation:binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) #<representation:binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) #<representation:binary64>) () ()) |
#s(alt (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) #<representation:binary64>) () ()) |
#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation:binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation:binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z) (patch (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z) #<representation:binary64>) () ()) |
#s(alt #s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z)) (patch #s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z)) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) (patch (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) #<representation:binary64>) () ()) |
#s(alt (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))) (/.f64 (neg.f64 z) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)))) (patch (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))) (/.f64 (neg.f64 z) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)))) #<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>) () ()) |
#s(alt #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) #<representation:binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x (sin y)) (* z (pow (cos y) 2))) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (patch (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ z (cos y))) (/ (* x (sin y)) (pow (cos y) 2))) z) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (patch (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ z (cos y))) (/ (* x (sin y)) (pow (cos y) 2))) z) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (patch (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ z (cos y))) (/ (* x (sin y)) (pow (cos y) 2))) z) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (patch (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (taylor 0 z) (#s(alt (/.f64 (neg.f64 z) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) (patch (/.f64 (neg.f64 z) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2)))) (* -1 (/ (pow (cos y) 2) (* x (sin y)))))) (taylor 0 z) (#s(alt (/.f64 (neg.f64 z) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) (patch (/.f64 (neg.f64 z) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (* z (+ (* -1 (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3)))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))))) (taylor 0 z) (#s(alt (/.f64 (neg.f64 z) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) (patch (/.f64 (neg.f64 z) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))))))) (taylor 0 z) (#s(alt (/.f64 (neg.f64 z) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) (patch (/.f64 (neg.f64 z) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))) (patch #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))) (patch #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))) #<representation:binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (/ 1 x) (/ y z)))) (taylor -inf x) (#s(alt #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) #<representation:binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 85.0ms | x | @ | -inf | ((/ (+ (* (neg z) (cos y)) (* (sin y) x)) (* (pow (cos y) 2) z)) (/ (neg z) (/ (+ (* (neg z) (cos y)) (* (sin y) x)) (* (pow (cos y) 2) z))) (* (pow (sin y) 2) x) (pow (sin y) 2) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (neg z) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (* (+ (* (sin y) (/ x z)) (cos y)) z) (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (+ (* (sin y) (/ x z)) (cos y)) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (/ (neg z) (/ (+ (* (neg z) (cos y)) (* (sin y) x)) (* (pow (cos y) 2) z)))) (pow (cos y) 2) (+ (* (neg x) (/ y z)) -1) (cos y)) |
| 84.0ms | y | @ | 0 | ((/ (+ (* (neg z) (cos y)) (* (sin y) x)) (* (pow (cos y) 2) z)) (/ (neg z) (/ (+ (* (neg z) (cos y)) (* (sin y) x)) (* (pow (cos y) 2) z))) (* (pow (sin y) 2) x) (pow (sin y) 2) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (neg z) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (* (+ (* (sin y) (/ x z)) (cos y)) z) (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (+ (* (sin y) (/ x z)) (cos y)) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (/ (neg z) (/ (+ (* (neg z) (cos y)) (* (sin y) x)) (* (pow (cos y) 2) z)))) (pow (cos y) 2) (+ (* (neg x) (/ y z)) -1) (cos y)) |
| 5.0ms | y | @ | inf | ((/ (+ (* (neg z) (cos y)) (* (sin y) x)) (* (pow (cos y) 2) z)) (/ (neg z) (/ (+ (* (neg z) (cos y)) (* (sin y) x)) (* (pow (cos y) 2) z))) (* (pow (sin y) 2) x) (pow (sin y) 2) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (neg z) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (* (+ (* (sin y) (/ x z)) (cos y)) z) (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (+ (* (sin y) (/ x z)) (cos y)) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (/ (neg z) (/ (+ (* (neg z) (cos y)) (* (sin y) x)) (* (pow (cos y) 2) z)))) (pow (cos y) 2) (+ (* (neg x) (/ y z)) -1) (cos y)) |
| 5.0ms | y | @ | -inf | ((/ (+ (* (neg z) (cos y)) (* (sin y) x)) (* (pow (cos y) 2) z)) (/ (neg z) (/ (+ (* (neg z) (cos y)) (* (sin y) x)) (* (pow (cos y) 2) z))) (* (pow (sin y) 2) x) (pow (sin y) 2) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (neg z) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (* (+ (* (sin y) (/ x z)) (cos y)) z) (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (+ (* (sin y) (/ x z)) (cos y)) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (/ (neg z) (/ (+ (* (neg z) (cos y)) (* (sin y) x)) (* (pow (cos y) 2) z)))) (pow (cos y) 2) (+ (* (neg x) (/ y z)) -1) (cos y)) |
| 4.0ms | z | @ | 0 | ((/ (+ (* (neg z) (cos y)) (* (sin y) x)) (* (pow (cos y) 2) z)) (/ (neg z) (/ (+ (* (neg z) (cos y)) (* (sin y) x)) (* (pow (cos y) 2) z))) (* (pow (sin y) 2) x) (pow (sin y) 2) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* (neg z) (+ (* (neg x) (/ y z)) -1)) (neg z) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (* (+ (* (sin y) (/ x z)) (cos y)) z) (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (+ (* (sin y) (/ x z)) (cos y)) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (/ (neg z) (/ (+ (* (neg z) (cos y)) (* (sin y) x)) (* (pow (cos y) 2) z)))) (pow (cos y) 2) (+ (* (neg x) (/ y z)) -1) (cos y)) |
| 1× | egg-herbie |
| 9 706× | lower-fma.f64 |
| 9 706× | lower-fma.f32 |
| 6 468× | lower-*.f64 |
| 6 468× | lower-*.f32 |
| 2 366× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 563 | 6925 |
| 1 | 1912 | 6729 |
| 2 | 6529 | 6662 |
| 0 | 8214 | 6181 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* 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) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) |
(* (pow z 2) (+ (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2)))) (* -1 (/ (pow (cos y) 2) (* x (sin y)))))) |
(* (pow z 2) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (* z (+ (* -1 (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3)))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))))) |
(* (pow z 2) (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))))))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x y) |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x y) |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))) |
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))) |
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))) |
(* -1/6 (* x y)) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* 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))) |
(* -1 (/ (* x y) z)) |
(/ (+ (* -1 z) (* -1 (* x y))) z) |
(/ (+ (* -1 z) (* -1 (* x y))) z) |
(/ (+ (* -1 z) (* -1 (* x 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 (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))))) |
(* z (+ (cos y) (+ (/ (* x (sin y)) z) (+ (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))) (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2))))))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
z |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
z |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))) |
(* -1/2 (* y z)) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))) |
(* -1/2 z) |
(* z (- (* -1/6 (/ (* x y) z)) 1/2)) |
(* z (- (* -1/6 (/ (* x y) z)) 1/2)) |
(* z (- (* -1/6 (/ (* x y) z)) 1/2)) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* 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)) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))))) |
(* z (+ (cos y) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))))) |
-1 |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(/ -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 (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ (* x (sin y)) (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))))) z)) (* x (sin y))) z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
z |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1/2 (* y z)) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y)))) |
(* -1/2 z) |
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z))))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z))))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(cos y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z)) (* x (sin y))) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z)) (* x (sin y))) z))))) |
-1 |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
-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) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1 (* y (- z (+ (* 1/2 z) (/ (pow x 2) z)))))))) |
(+ z (* y (+ x (* y (+ (* -1 (- z (+ (* 1/2 z) (/ (pow x 2) z)))) (* y (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x))))))))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2))))) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2))))))) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x))))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3)))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
x |
(+ x (* -1/2 (* y z))) |
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))) |
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))) |
(* -1/2 z) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
1 |
(+ 1 (/ (* x y) z)) |
(+ 1 (* y (+ (* -1/2 y) (/ x z)))) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z)))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* y (+ (* -1 (- z (+ (* 1/2 z) (/ (pow x 2) z)))) (* -1 (/ (pow x 2) z))))))) |
(+ z (* y (+ x (* y (+ (* -1 (- z (+ (* 1/2 z) (/ (pow x 2) z)))) (+ (* -1 (/ (pow x 2) z)) (* y (- (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x))) (/ (pow x 3) (pow z 2)))))))))) |
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))) |
-1 |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(/ (+ (* -1 (* z (cos y))) (* x (sin y))) (* z (pow (cos y) 2))) |
(/ (+ (* -1 (* z (cos y))) (* x (sin y))) (* z (pow (cos y) 2))) |
(/ (+ (* -1 (* z (cos y))) (* x (sin y))) (* z (pow (cos y) 2))) |
(/ (+ (* -1 (* z (cos y))) (* x (sin y))) (* z (pow (cos y) 2))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x y) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* x y) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* -1/6 (* x (pow y 3))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2))))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3)))))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2))))) |
(* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2))))) |
(* -1/6 (* x y)) |
(* y (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* y (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* y (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* 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))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(* -1 (/ (* x y) z)) |
(* y (- (* -1 (/ x z)) (/ 1 y))) |
(* y (- (* -1 (/ x z)) (/ 1 y))) |
(* y (- (* -1 (/ x z)) (/ 1 y))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(/ (+ (* -1 (* z (cos y))) (* x (sin y))) (* z (pow (cos y) 2))) |
(/ (+ (* -1 (* z (cos y))) (* x (sin y))) (* z (pow (cos y) 2))) |
(/ (+ (* -1 (* z (cos y))) (* x (sin y))) (* z (pow (cos y) 2))) |
(/ (+ (* -1 (* z (cos y))) (* x (sin y))) (* z (pow (cos y) 2))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* -1/6 (* x (pow y 3))) |
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x)))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x))) |
(* -1/6 (* x y)) |
(* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(* -1 (/ (* x y) z)) |
(* -1 (* y (+ (/ 1 y) (/ x z)))) |
(* -1 (* y (+ (/ 1 y) (/ x z)))) |
(* -1 (* y (+ (/ 1 y) (/ x z)))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(/ -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 (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (+ (sin y) (/ (* x (pow (sin y) 2)) (* z (cos y))))) (* z (cos y))) |
(+ (* x (+ (sin y) (* x (+ (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 2))) (/ (pow (sin y) 2) (* z (cos y))))))) (* z (cos y))) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2))))))) |
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2))))))) |
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2))))))) |
(* -1/2 (* y z)) |
(+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2))))) |
(+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2))))) |
(+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2))))) |
(* -1/2 z) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(+ (* -1/2 z) (* -1/6 (* 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))) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(cos y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (+ (sin y) (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))))) (* z (cos y))) |
(+ (* x (+ (sin y) (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))))) (* z (cos y))) |
-1 |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(/ (* x (sin y)) (* z (pow (cos y) 2))) |
(* x (- (/ (sin y) (* z (pow (cos y) 2))) (/ 1 (* x (cos y))))) |
(* x (- (/ (sin y) (* z (pow (cos y) 2))) (/ 1 (* x (cos y))))) |
(* x (- (/ (sin y) (* z (pow (cos y) 2))) (/ 1 (* x (cos y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) |
(/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) x) |
(/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))))) x) |
(/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 5) (pow (cos y) 5)) (* (pow x 3) (pow (sin y) 4))))))) x) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x y) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x y) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (* y (+ 1 (* -1/6 (pow y 2))))) |
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x)))) |
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x)))) |
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))) |
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))) |
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))) |
(* -1/6 (* x y)) |
(* x (+ (* -1/2 (/ z x)) (* -1/6 y))) |
(* x (+ (* -1/2 (/ z x)) (* -1/6 y))) |
(* x (+ (* -1/2 (/ z x)) (* -1/6 y))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(/ (* x (sin y)) z) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* -1 (/ (* x y) z)) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(/ (* x (sin y)) (* 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)))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) |
(* -1 (/ (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))))) x)) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3)) (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) x))) x)) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x)) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (pow (sin y) 2)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1))) |
(* -1/6 (* x y)) |
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x))))) |
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x))))) |
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(/ (* x (sin y)) z) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (/ (* x y) z)) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
| Outputs |
|---|
(/ (* 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) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) |
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (sin.f64 y))) |
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(*.f64 (fma.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) x) |
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) x) |
(* -1/6 (* x y)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y x)) |
(* x (+ (* -1/2 (/ z x)) (* -1/6 y))) |
(*.f64 (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) x) |
(* x (+ (* -1/2 (/ z x)) (* -1/6 y))) |
(*.f64 (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) x) |
(* x (+ (* -1/2 (/ z x)) (* -1/6 y))) |
(*.f64 (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (+ (sin y) (/ (* 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) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (+ (sin y) (/ (* 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) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(/.f64 (neg.f64 (fma.f64 y x z)) z) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(/.f64 (neg.f64 (fma.f64 y x z)) z) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(/.f64 (neg.f64 (fma.f64 y x 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 (* x (+ (* -1 (/ (sin y) (* z (pow (cos y) 2)))) (/ 1 (* x (cos y)))))) |
(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))) |
(* -1 (* x (+ (* -1 (/ (sin y) (* z (pow (cos y) 2)))) (/ 1 (* x (cos y)))))) |
(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))) |
(* -1 (* x (+ (* -1 (/ (sin y) (* z (pow (cos y) 2)))) (/ 1 (* x (cos y)))))) |
(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))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) |
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (sin.f64 y))) |
(* -1 (/ (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) x)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (sin.f64 y))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))))) x)) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 z z) (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x)) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3)) (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) x))) x)) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 z z) (/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 z #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)) x) (/.f64 (pow.f64 z #s(literal 5 binary64)) (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 (sin.f64 y) #s(literal 3 binary64)))) x)) x)) (neg.f64 x)) |
(* x (pow (sin y) 2)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(* x (pow (sin y) 2)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(* x (pow (sin y) 2)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(* x (pow (sin y) 2)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 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 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) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (neg.f64 x) x) y) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) (neg.f64 x))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) (neg.f64 x))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) (neg.f64 x))) (neg.f64 x)) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (neg.f64 x) x) |
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 z x) y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (neg.f64 x) x) |
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 z x) y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (neg.f64 x) x) |
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 z x) y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (neg.f64 x) x) |
(* -1/6 (* x y)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y x)) |
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x))))) |
(*.f64 (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) x) |
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x))))) |
(*.f64 (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) x) |
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x))))) |
(*.f64 (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* 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 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(/.f64 (neg.f64 (fma.f64 y x z)) z) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(/.f64 (neg.f64 (fma.f64 y x z)) z) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(/.f64 (neg.f64 (fma.f64 y x z)) z) |
| 4 974× | lower-*.f32 |
| 4 960× | lower-*.f64 |
| 3 978× | lower-fma.f32 |
| 3 964× | lower-fma.f64 |
| 3 218× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 283 |
| 0 | 89 | 280 |
| 1 | 359 | 270 |
| 2 | 2504 | 270 |
| 0 | 8198 | 265 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) |
(/.f64 (neg.f64 z) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))) |
(neg.f64 z) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z) |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z)) |
(fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) |
(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))) (/.f64 (neg.f64 z) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)))) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
#s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) |
(cos.f64 y) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (cos.f64 y) (neg.f64 z)) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (hypot.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))) (*.f64 (*.f64 (cos.f64 y) (neg.f64 z)) (*.f64 x (sin.f64 y)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 z)) #s(literal -1 binary64))) |
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(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) (neg.f64 z)) (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 z) (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) (/.f64 (-.f64 (*.f64 (neg.f64 z) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) (pow.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (neg.f64 z) (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) (/.f64 (-.f64 (*.f64 (neg.f64 z) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) (pow.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) #s(literal 3 binary64))))) |
(fma.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) z) z) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))) |
(fma.f64 (/.f64 (neg.f64 z) (*.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal -2 binary64)))) z (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))) |
(fma.f64 (/.f64 (neg.f64 z) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 z)) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))) |
(fma.f64 (/.f64 (neg.f64 z) #s(literal 1 binary64)) (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 (cos.f64 y) (neg.f64 z)) (*.f64 x (sin.f64 y))) (/.f64 (neg.f64 z) (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (hypot.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3/2 binary64)))) (-.f64 (hypot.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))) (*.f64 (*.f64 (cos.f64 y) (neg.f64 z)) (*.f64 x (sin.f64 y)))) (/.f64 (neg.f64 z) (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)))) |
(fma.f64 (*.f64 (/.f64 (neg.f64 z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))) |
(fma.f64 (*.f64 (/.f64 (neg.f64 z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))) |
(fma.f64 (*.f64 (/.f64 x (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x (/.f64 (neg.f64 z) (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) (/.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) z)) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))) |
(fma.f64 (/.f64 (neg.f64 z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)))) |
(fma.f64 (pow.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) z) (neg.f64 z)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))) |
(fma.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) (pow.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))) |
(fma.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) (neg.f64 z) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))) |
(fma.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) (/.f64 (neg.f64 z) (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)))) |
(fma.f64 (/.f64 x (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (neg.f64 z) (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) (/.f64 (neg.f64 z) (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)))) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) (/.f64 (neg.f64 z) (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)))) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (/.f64 (neg.f64 z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))) |
(fma.f64 x (*.f64 (pow.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (/.f64 (neg.f64 z) (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)))) |
(fma.f64 x (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 x (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))) (/.f64 (neg.f64 z) (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)))) |
(fma.f64 (sin.f64 y) (*.f64 (sin.f64 y) (/.f64 (*.f64 x x) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))) (/.f64 (neg.f64 z) (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)))) |
(fma.f64 (neg.f64 z) (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))) |
(fma.f64 z (pow.f64 (*.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (neg.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) z))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))) (/.f64 (pow.f64 (*.f64 z (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) (*.f64 z (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) (/.f64 (neg.f64 z) (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)))) |
(+.f64 (/.f64 (neg.f64 z) (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y))))) |
(*.f64 (cos.f64 y) (cos.f64 y)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cos.f64 y))) |
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y))) #s(literal 2 binary64)) |
(exp.f64 (+.f64 (log.f64 (cos.f64 y)) (log.f64 (cos.f64 y)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
#s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y))) |
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 1 binary64)) |
(cos.f64 y) |
(exp.f64 (log.f64 (cos.f64 y))) |
Compiled 41 066 to 2 618 computations (93.6% saved)
47 alts after pruning (41 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 319 | 16 | 1 335 |
| Fresh | 7 | 25 | 32 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 330 | 47 | 1 377 |
| Status | Accuracy | Program |
|---|---|---|
| 58.9% | (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) x) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) | |
| 81.3% | (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))) (/.f64 (neg.f64 z) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) #s(approx (* (sin y) x) (*.f64 y x))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)))) | |
| 90.2% | (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))) (/.f64 (neg.f64 z) #s(approx (/ (+ (* (neg z) (cos y)) (* (sin y) x)) (* (pow (cos y) 2) z)) (/.f64 #s(literal -1 binary64) (cos.f64 y))))) | |
| 93.5% | (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))) (*.f64 (*.f64 (/.f64 (neg.f64 z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) | |
| 70.0% | (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 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (neg.f64 z)))) | |
| 81.4% | (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))) | |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 57.6% | (fma.f64 (cos.f64 y) z #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) | |
| ✓ | 65.7% | (fma.f64 (cos.f64 y) z #s(approx (* (sin y) x) (*.f64 y x))) |
| 53.4% | (fma.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z #s(approx (* (sin y) x) (*.f64 y x))) | |
| 53.4% | (fma.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z #s(approx (* (sin y) x) (*.f64 y x))) | |
| ✓ | 77.6% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) |
| 50.3% | (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) | |
| 23.6% | (pow.f64 (sqrt.f64 #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) | |
| 26.6% | (pow.f64 (sqrt.f64 #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 (cos.f64 y) z))) #s(literal 2 binary64)) | |
| 31.6% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) | |
| 36.7% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (fma.f64 (/.f64 (neg.f64 x) z) (/.f64 y z) (/.f64 #s(literal 1 binary64) z)))) | |
| 58.3% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.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)))) | |
| 58.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) | |
| 37.8% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z))) | |
| 56.4% | (+.f64 #s(approx (* x (sin y)) (*.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)) (*.f64 z (cos.f64 y))) | |
| 53.9% | #s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) | |
| 92.7% | #s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) | |
| 92.0% | #s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) | |
| 65.6% | #s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) #s(approx (cos y) #s(literal 1 binary64))) z)) | |
| 92.7% | #s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 (fma.f64 x (*.f64 (pow.f64 z #s(literal -1 binary64)) (sin.f64 y)) (cos.f64 y)) z)) | |
| 58.3% | #s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 (cos.f64 y) z)) | |
| 45.8% | #s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 #s(approx (+ (* (sin y) (/ x 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)) | |
| 47.2% | #s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 #s(approx (+ (* (sin y) (/ x z)) (cos y)) (fma.f64 (/.f64 x z) y #s(literal 1 binary64))) z)) | |
| 34.4% | #s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 #s(approx (+ (* (sin y) (/ x z)) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z)) | |
| 37.9% | #s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 #s(approx (+ (* (sin y) (/ x z)) (cos y)) #s(literal 1 binary64)) z)) | |
| 53.8% | #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x) y z)) | |
| 35.6% | #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) | |
| 19.3% | #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (neg.f64 x) x) y))) | |
| 35.6% | #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) | |
| ✓ | 54.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 54.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) | |
| 24.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x)) | |
| ✓ | 41.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
| 45.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 y z) (*.f64 (neg.f64 x) (neg.f64 z)) (*.f64 #s(literal 1 binary64) z)))) | |
| 22.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) | |
| 51.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) | |
| 50.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) | |
| 16.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 x) (/.f64 y z)))))) | |
| ✓ | 19.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
| 19.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) | |
| 19.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
Compiled 1 933 to 832 computations (57% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 #s(approx (+ (* (sin y) (/ x z)) (cos y)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (+.f64 (*.f64 x y) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x) y z)) |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 #s(approx (+ (* (sin y) (/ x z)) (cos y)) (fma.f64 (/.f64 x z) y #s(literal 1 binary64))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z))) |
(fma.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z #s(approx (* (sin y) x) (*.f64 y x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (neg.f64 x) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 x) (/.f64 y z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 y z) (*.f64 (neg.f64 x) (neg.f64 z)) (*.f64 #s(literal 1 binary64) z)))) |
(fma.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z #s(approx (* (sin y) x) (*.f64 y x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
(fma.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z #s(approx (* (sin y) x) (*.f64 y x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 #s(approx (+ (* (sin y) (/ x 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) (* (sin y) x)) -1) (fma.f64 (/.f64 (neg.f64 x) z) (/.f64 y z) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 (cos.f64 y) z)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z #s(approx (* (sin y) x) (*.f64 y x))) |
(+.f64 #s(approx (* x (sin y)) (*.f64 y x)) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 #s(approx (+ (* (sin y) (/ x z)) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z)) |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) #s(approx (cos y) #s(literal 1 binary64))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) |
(fma.f64 (cos.f64 y) z #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
(+.f64 #s(approx (* x (sin y)) (*.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)) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x)) |
(pow.f64 (sqrt.f64 #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 (cos.f64 y) z))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z)) |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 (fma.f64 x (*.f64 (pow.f64 z #s(literal -1 binary64)) (sin.f64 y)) (cos.f64 y)) z)) |
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.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))) |
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 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 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.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) (* (sin y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(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))) (/.f64 (neg.f64 z) #s(approx (/ (+ (* (neg z) (cos y)) (* (sin y) x)) (* (pow (cos y) 2) z)) (/.f64 #s(literal -1 binary64) (cos.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(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))) (/.f64 (neg.f64 z) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) #s(approx (* (sin y) x) (*.f64 y x))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) x) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (*.f64 (*.f64 (sin.f64 y) x) x) (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (*.f64 (*.f64 (/.f64 (neg.f64 z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 x (sin.f64 y)))) z) (pow.f64 (cos.f64 y) #s(literal 2 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))) (/.f64 (neg.f64 z) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (cos.f64 y)) #s(literal -1 binary64)) (/.f64 z (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(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))) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(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))) (/.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (*.f64 (exp.f64 (*.f64 (log.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))))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
4 calls:
| 57.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 39.0ms | y |
| 39.0ms | z |
| 20.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 #s(approx (+ (* (sin y) (/ x z)) (cos y)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (+.f64 (*.f64 x y) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x) y z)) |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 #s(approx (+ (* (sin y) (/ x z)) (cos y)) (fma.f64 (/.f64 x z) y #s(literal 1 binary64))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z))) |
(fma.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z #s(approx (* (sin y) x) (*.f64 y x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (neg.f64 x) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 x) (/.f64 y z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 y z) (*.f64 (neg.f64 x) (neg.f64 z)) (*.f64 #s(literal 1 binary64) z)))) |
(fma.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z #s(approx (* (sin y) x) (*.f64 y x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
(fma.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z #s(approx (* (sin y) x) (*.f64 y x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 #s(approx (+ (* (sin y) (/ x 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) (* (sin y) x)) -1) (fma.f64 (/.f64 (neg.f64 x) z) (/.f64 y z) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 (cos.f64 y) z)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z #s(approx (* (sin y) x) (*.f64 y x))) |
(+.f64 #s(approx (* x (sin y)) (*.f64 y x)) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 #s(approx (+ (* (sin y) (/ x z)) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z)) |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) #s(approx (cos y) #s(literal 1 binary64))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) |
(fma.f64 (cos.f64 y) z #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
(+.f64 #s(approx (* x (sin y)) (*.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)) (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
4 calls:
| 51.0ms | z |
| 16.0ms | x |
| 12.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 12.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.4% | 3 | x |
| 82.1% | 2 | y |
| 87.3% | 3 | z |
| 77.6% | 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 (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 #s(approx (+ (* (sin y) (/ x z)) (cos y)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (+.f64 (*.f64 x y) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x) y z)) |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 #s(approx (+ (* (sin y) (/ x z)) (cos y)) (fma.f64 (/.f64 x z) y #s(literal 1 binary64))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z))) |
(fma.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z #s(approx (* (sin y) x) (*.f64 y x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (neg.f64 x) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 x) (/.f64 y z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 y z) (*.f64 (neg.f64 x) (neg.f64 z)) (*.f64 #s(literal 1 binary64) z)))) |
(fma.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z #s(approx (* (sin y) x) (*.f64 y x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
(fma.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z #s(approx (* (sin y) x) (*.f64 y x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 #s(approx (+ (* (sin y) (/ x 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) (* (sin y) x)) -1) (fma.f64 (/.f64 (neg.f64 x) z) (/.f64 y z) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 (cos.f64 y) z)) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
3 calls:
| 17.0ms | x |
| 10.0ms | z |
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.0% | 3 | y |
| 74.2% | 3 | x |
| 73.3% | 3 | z |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 #s(approx (+ (* (sin y) (/ x z)) (cos y)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (+.f64 (*.f64 x y) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x) y z)) |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 #s(approx (+ (* (sin y) (/ x z)) (cos y)) (fma.f64 (/.f64 x z) y #s(literal 1 binary64))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z))) |
(fma.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z #s(approx (* (sin y) x) (*.f64 y x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (neg.f64 x) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 x) (/.f64 y z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 y z) (*.f64 (neg.f64 x) (neg.f64 z)) (*.f64 #s(literal 1 binary64) z)))) |
(fma.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z #s(approx (* (sin y) x) (*.f64 y x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
(fma.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z #s(approx (* (sin y) x) (*.f64 y x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 #s(approx (+ (* (sin y) (/ x 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) (* (sin y) x)) -1) (fma.f64 (/.f64 (neg.f64 x) z) (/.f64 y z) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (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:
| 35.0ms | y |
| 9.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.8% | 3 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 76.4% | 3 | y |
Compiled 10 to 11 computations (-10% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 #s(approx (+ (* (sin y) (/ x z)) (cos y)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (+.f64 (*.f64 x y) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x) y z)) |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 #s(approx (+ (* (sin y) (/ x z)) (cos y)) (fma.f64 (/.f64 x z) y #s(literal 1 binary64))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z))) |
(fma.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z #s(approx (* (sin y) x) (*.f64 y x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (neg.f64 x) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) #s(approx (+ (* (neg x) (/ y z)) -1) (*.f64 (neg.f64 x) (/.f64 y z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) #s(approx (+ (* (neg x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 y z) (*.f64 (neg.f64 x) (neg.f64 z)) (*.f64 #s(literal 1 binary64) z)))) |
(fma.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z #s(approx (* (sin y) x) (*.f64 y x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) |
(fma.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z #s(approx (* (sin y) x) (*.f64 y x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))) |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 #s(approx (+ (* (sin y) (/ x 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) (* (sin y) x)) -1) (fma.f64 (/.f64 (neg.f64 x) z) (/.f64 y z) (/.f64 #s(literal 1 binary64) z)))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
4 calls:
| 31.0ms | y |
| 9.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 9.0ms | x |
| 9.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.7% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 54.7% | 1 | z |
| 54.7% | 1 | x |
| 54.7% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 #s(approx (+ (* (sin y) (/ x 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 (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 #s(approx (+ (* (sin y) (/ x 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:
| 33.0ms | y |
| 2.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.9% | 3 | z |
| 37.9% | 1 | y |
| 37.9% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 43.8% | 3 | x |
Compiled 12 to 17 computations (-41.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
4 calls:
| 1.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 19.7% | 1 | y |
| 19.7% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 19.7% | 1 | z |
| 19.7% | 1 | x |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 3931732.349144982 | 4866011353.63946 |
| 10.0ms | -5.19520815792421e+129 | -2.998610309513139e+129 |
| 18.0ms | 192× | 0 | valid |
Compiled 168 to 206 computations (-22.6% saved)
ival-cos: 4.0ms (30.4% of total)ival-mult: 4.0ms (30.4% of total)ival-sin: 4.0ms (30.4% of total)ival-add: 1.0ms (7.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 89554.5687355619 | 76075858.34013847 |
| 10.0ms | -0.7582778136657264 | -0.44129955643508634 |
| 24.0ms | 192× | 0 | valid |
Compiled 228 to 230 computations (-0.9% saved)
ival-sin: 10.0ms (51.9% of total)ival-cos: 6.0ms (31.1% of total)ival-mult: 3.0ms (15.6% of total)ival-add: 1.0ms (5.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 1.4144096708080545e-6 | 89554.5687355619 |
| 1.0ms | -0.7582778136657264 | -0.44129955643508634 |
| 10.0ms | 160× | 0 | valid |
Compiled 292 to 280 computations (4.1% saved)
ival-mult: 2.0ms (33.6% of total)ival-sin: 2.0ms (33.6% of total)ival-add: 1.0ms (16.8% of total)ival-cos: 1.0ms (16.8% 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 |
|---|---|---|
| 22.0ms | 5.725417907803951e+96 | 1.3079403496777276e+102 |
| 14.0ms | -2.645238071654324e+211 | -4.006625316745726e+210 |
| 26.0ms | 240× | 0 | valid |
Compiled 162 to 239 computations (-47.5% saved)
ival-sin: 5.0ms (36.5% of total)ival-cos: 4.0ms (29.2% of total)ival-mult: 3.0ms (21.9% of total)ival-add: 1.0ms (7.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 12× | *-commutative-binary64-*.f64 |
| 2× | 1-exp-binary32-exp.f32 |
| 2× | 1-exp-binary64-exp.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 290 |
| 1 | 87 | 290 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(if (<=.f64 z #s(literal -4500000000000000145892582743499520794915180300603347678057176554040382855249592033071871617551187470880974849994584216093935534080 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 470000000 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (<=.f64 y #s(literal -8106479329266893/18014398509481984 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 90000 binary64)) #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)))) |
(if (<=.f64 y #s(literal -8106479329266893/18014398509481984 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 7926335344172073/72057594037927936 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 -4300000000000000022384893860175372062764503238709437008014997321188947858554188117510451962263234138092306034086930228556293007328983383036756414886844407990718690308112228095415526688790793522299600744703066112 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (if (<=.f64 x #s(literal 2199999999999999782439404452127040483509329997010504042239002985926386767141870567321406320211394560 binary64)) #s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 #s(approx (+ (* (sin y) (/ x 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 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
(if (<=.f64 z #s(literal -4500000000000000145892582743499520794915180300603347678057176554040382855249592033071871617551187470880974849994584216093935534080 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 470000000 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (<=.f64 z #s(literal -4500000000000000145892582743499520794915180300603347678057176554040382855249592033071871617551187470880974849994584216093935534080 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 470000000 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
(if (<=.f64 y #s(literal -8106479329266893/18014398509481984 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 90000 binary64)) #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)))) |
(if (<=.f64 y #s(literal -8106479329266893/18014398509481984 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 90000 binary64)) #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))))) |
(if (<=.f64 y #s(literal -8106479329266893/18014398509481984 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 7926335344172073/72057594037927936 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 -8106479329266893/18014398509481984 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 7926335344172073/72057594037927936 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 -4300000000000000022384893860175372062764503238709437008014997321188947858554188117510451962263234138092306034086930228556293007328983383036756414886844407990718690308112228095415526688790793522299600744703066112 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (if (<=.f64 x #s(literal 2199999999999999782439404452127040483509329997010504042239002985926386767141870567321406320211394560 binary64)) #s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 #s(approx (+ (* (sin y) (/ x 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 -4300000000000000022384893860175372062764503238709437008014997321188947858554188117510451962263234138092306034086930228556293007328983383036756414886844407990718690308112228095415526688790793522299600744703066112 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) (if (<=.f64 x #s(literal 2199999999999999782439404452127040483509329997010504042239002985926386767141870567321406320211394560 binary64)) #s(approx (pow (sqrt (+ (* z (cos y)) (* x (sin y)))) 2) (*.f64 #s(approx (+ (* (sin y) (/ x 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))) |
| 12 858× | lower-fma.f64 |
| 12 858× | lower-fma.f32 |
| 11 480× | lower-fma.f64 |
| 11 480× | lower-fma.f32 |
| 9 706× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 644 | 7066 |
| 1 | 2181 | 6815 |
| 2 | 7543 | 6774 |
| 0 | 8031 | 6405 |
| 0 | 619 | 5682 |
| 1 | 2153 | 5432 |
| 2 | 7535 | 5410 |
| 0 | 8077 | 5116 |
| 0 | 563 | 6925 |
| 1 | 1912 | 6729 |
| 2 | 6529 | 6662 |
| 0 | 8214 | 6181 |
| 0 | 30 | 148 |
| 0 | 50 | 115 |
| 1 | 187 | 115 |
| 2 | 1234 | 115 |
| 0 | 8368 | 115 |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 313 to 189 computations (39.6% saved)
Compiled 280 to 126 computations (55% saved)
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