
Time bar (total: 12.7s)
| 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-sin: 219.0ms (37.7% of total)ival-cos: 170.0ms (29.2% of total)ival-mult: 116.0ms (20% of total)ival-add: 67.0ms (11.5% of total)ival-true: 6.0ms (1% of total)ival-assert: 3.0ms (0.5% 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 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
| 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 |
| 81.0ms | 512× | 0 | valid |
Compiled 76 to 36 computations (52.6% saved)
ival-add: 34.0ms (52.9% of total)ival-cos: 11.0ms (17.1% of total)ival-sin: 11.0ms (17.1% of total)ival-mult: 7.0ms (10.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 8 computations (33.3% 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 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) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| ✓ | accuracy | 99.8% | (*.f64 z (cos.f64 y)) |
| ✓ | accuracy | 99.8% | (*.f64 x (sin.f64 y)) |
| 29.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-cos: 10.0ms (47.9% of total)ival-sin: 6.0ms (28.7% of total)ival-mult: 3.0ms (14.4% of total)ival-add: 1.0ms (4.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))> |
#<alt (*.f64 x (sin.f64 y))> |
#<alt (sin.f64 y)> |
#<alt (*.f64 z (cos.f64 y))> |
#<alt (cos.f64 y)> |
| Outputs |
|---|
#<alt (* z (cos y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* x (sin y))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (sin y))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))> |
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* x (sin y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))> |
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))> |
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt z> |
#<alt (+ z (* -1/2 (* (pow y 2) z)))> |
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))> |
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+ (* x (sin y)) (* z (cos y))) |
| 1.0ms | z | @ | inf | (+ (* x (sin y)) (* z (cos y))) |
| 1.0ms | z | @ | 0 | (+ (* x (sin y)) (* z (cos y))) |
| 1.0ms | y | @ | -inf | (+ (* x (sin y)) (* z (cos y))) |
| 0.0ms | y | @ | 0 | (+ (* x (sin y)) (* z (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 | 991 | 668 |
| 3 | 2652 | 662 |
| 4 | 4669 | 662 |
| 5 | 6964 | 662 |
| 0 | 8196 | 606 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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))) |
(* 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) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* 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 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
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)))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos 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))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
| Outputs |
|---|
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
z |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 y (fma.f64 (*.f64 y x) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #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 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
| 1× | batch-egg-rewrite |
| 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 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) |
(+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(+.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) #s(literal -1 binary64))) |
(-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) (neg.f64 z))) |
(-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) (neg.f64 x) (*.f64 z (cos.f64 y)))) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (pow.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))))) (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(fma.f64 x (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 (sin.f64 y) (/.f64 (*.f64 x (*.f64 x (sin.f64 y))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(fma.f64 (*.f64 x (sin.f64 y)) (/.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
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(*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 x z) (cos.f64 y))) #s(literal 3 binary64))))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 x z) (cos.f64 y))) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) |
(*.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 9 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 x z) (cos.f64 y))) #s(literal 3 binary64)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (-.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 x z) (cos.f64 y))) #s(literal 3 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) |
(exp.f64 (log.f64 (*.f64 x (sin.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) #s(literal 1 binary64))) |
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (sin.f64 y)))) |
(sin.f64 y) |
(exp.f64 (log.f64 (*.f64 z (cos.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) (neg.f64 z))) |
(neg.f64 (*.f64 (cos.f64 y) (neg.f64 z))) |
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) (neg.f64 z))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z))) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (cos.f64 y)))) |
(cos.f64 y) |
Compiled 10 212 to 557 computations (94.5% saved)
18 alts after pruning (18 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 264 | 18 | 282 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 265 | 18 | 283 |
| Status | Accuracy | Program |
|---|---|---|
| 53.4% | (fma.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) | |
| 53.2% | (fma.f64 (*.f64 x (*.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) | |
| ▶ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
| 99.8% | (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) | |
| 53.4% | (fma.f64 x (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) | |
| 41.3% | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) | |
| ▶ | 41.7% | (/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) |
| 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) | |
| 55.3% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 58.2% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 76.0% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| ▶ | 54.7% | (+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) |
| 56.8% | (+.f64 (exp.f64 (log.f64 (*.f64 x (sin.f64 y)))) (*.f64 z (cos.f64 y))) | |
| 50.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) | |
| 50.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)) | |
| ▶ | 51.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| ▶ | 59.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
| 40.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) |
Compiled 810 to 434 computations (46.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| ✓ | cost-diff | 6720 | (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
| ✓ | cost-diff | 0 | #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 x (sin.f64 y)) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 z (cos.f64 y)) |
| ✓ | cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
| ✓ | cost-diff | 0 | (fma.f64 y x z) |
| ✓ | cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 z (cos.f64 y)) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
| 14 288× | lower-fma.f32 |
| 14 278× | lower-fma.f64 |
| 4 872× | lower-*.f32 |
| 4 852× | lower-*.f64 |
| 1 604× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 315 |
| 0 | 71 | 313 |
| 1 | 138 | 313 |
| 2 | 365 | 313 |
| 3 | 1033 | 313 |
| 4 | 2552 | 309 |
| 5 | 4560 | 307 |
| 0 | 8262 | 298 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(sin.f64 y) |
y |
x |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(fma.f64 y x z) |
y |
x |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
y |
(+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
#s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)) |
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z) |
(*.f64 z (*.f64 y y)) |
z |
(*.f64 y y) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) |
(*.f64 y #s(literal -1/720 binary64)) |
#s(literal -1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) |
(-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(*.f64 z z) |
z |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) |
(cos.f64 (+.f64 y y)) |
(+.f64 y y) |
y |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(*.f64 x x) |
x |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(sin.f64 y) |
y |
x |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(fma.f64 y x z) |
y |
x |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
y |
(+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) |
(fma.f64 (sin.f64 y) x #s(approx (* z (cos y)) (fma.f64 (*.f64 y (*.f64 y z)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
x |
(sin.f64 y) |
y |
#s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)) |
#s(approx (* z (cos y)) (fma.f64 (*.f64 y (*.f64 y z)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)) |
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z) |
(fma.f64 (*.f64 y (*.f64 y z)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 y z)) |
z |
(*.f64 y y) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) |
(*.f64 y #s(literal -1/720 binary64)) |
#s(literal -1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (-.f64 z x) (*.f64 (cos.f64 (+.f64 y y)) (fma.f64 z z (*.f64 x x))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) |
(-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (-.f64 z x) (*.f64 (cos.f64 (+.f64 y y)) (fma.f64 z z (*.f64 x x))))) |
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
(*.f64 z z) |
z |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) |
(cos.f64 (+.f64 y y)) |
(+.f64 y y) |
y |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
(*.f64 x x) |
x |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) |
(-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) |
(-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 94.5% | (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
| ✓ | accuracy | 87.9% | (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
| ✓ | accuracy | 75.8% | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| ✓ | accuracy | 54.9% | (/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) |
| ✓ | accuracy | 99.6% | (*.f64 y #s(literal -1/720 binary64)) |
| ✓ | accuracy | 99.6% | (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z) |
| ✓ | accuracy | 87.9% | (*.f64 z (*.f64 y y)) |
| ✓ | accuracy | 50.6% | #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 z (cos.f64 y)) |
| ✓ | accuracy | 59.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
| ✓ | accuracy | 100.0% | (fma.f64 y x z) |
| ✓ | accuracy | 51.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 99.9% | (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
| ✓ | accuracy | 99.8% | (*.f64 z (cos.f64 y)) |
| 68.0ms | 133× | 0 | valid |
| 61.0ms | 81× | 1 | valid |
| 53.0ms | 41× | 2 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 277 to 39 computations (85.9% saved)
ival-mult: 66.0ms (44.3% of total)ival-cos: 27.0ms (18.1% of total)ival-add: 20.0ms (13.4% of total)adjust: 12.0ms (8.1% of total)const: 8.0ms (5.4% of total)ival-sin: 7.0ms (4.7% of total)ival-sub: 5.0ms (3.4% of total)ival-div: 3.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))> |
#<alt (sin.f64 y)> |
#<alt (*.f64 z (cos.f64 y))> |
#<alt (cos.f64 y)> |
#<alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))> |
#<alt (fma.f64 y x z)> |
#<alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))> |
#<alt (+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)))> |
#<alt (*.f64 x (sin.f64 y))> |
#<alt #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))> |
#<alt (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))> |
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))> |
#<alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))> |
#<alt (/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))> |
#<alt (*.f64 z (*.f64 y y))> |
#<alt (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)> |
#<alt (*.f64 y #s(literal -1/720 binary64))> |
#<alt (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))> |
| Outputs |
|---|
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))> |
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* x (sin y))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (sin y))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* x (sin y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt z> |
#<alt (+ z (* -1/2 (* (pow y 2) z)))> |
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))> |
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (* z (cos y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* x (sin y))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (sin y))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))> |
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* x (sin y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (* x y)> |
#<alt (* y (+ x (/ z y)))> |
#<alt (* y (+ x (/ z y)))> |
#<alt (* y (+ x (/ z y)))> |
#<alt (* x y)> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (* x y)> |
#<alt (* x (+ y (/ z x)))> |
#<alt (* x (+ y (/ z x)))> |
#<alt (* x (+ y (/ z x)))> |
#<alt (* x y)> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))> |
#<alt (* x y)> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt z> |
#<alt (* z (+ 1 (/ (* x y) z)))> |
#<alt (* z (+ 1 (/ (* x y) z)))> |
#<alt (* z (+ 1 (/ (* x y) z)))> |
#<alt z> |
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))> |
#<alt (* z (cos y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* x (sin y))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (sin y))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))> |
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* x (sin y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* z (cos y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* x (sin y))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (sin y))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))> |
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* x (sin y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))> |
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))> |
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt z> |
#<alt (+ z (* -1/2 (* (pow y 2) z)))> |
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))> |
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))> |
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))> |
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))> |
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))> |
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))> |
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))> |
#<alt (pow z 2)> |
#<alt (+ (* (pow y 2) (- (* -1 (pow z 2)) (pow x 2))) (pow z 2))> |
#<alt (+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (* 1/3 (pow z 2)) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2))> |
#<alt (+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (+ (* 1/3 (pow z 2)) (* (pow y 2) (- (* -2/45 (pow z 2)) (* 2/45 (pow x 2))))) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2))> |
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))> |
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))> |
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))> |
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))> |
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (+ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (+ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (+ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))> |
#<alt (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))> |
#<alt 1> |
#<alt (+ 1 (* -1 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))> |
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))> |
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))> |
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))> |
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))> |
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))> |
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))> |
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))> |
#<alt (+ (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))> |
#<alt (+ (* z (- (* z (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (+ (* z (- (* z (- (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (/ (* z (* (cos y) (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3))))))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))> |
#<alt (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))> |
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))> |
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (- (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow z 3) (cos y)))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))> |
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (sin y) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* z (cos y))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* y (- (* y (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))> |
#<alt (+ z (* y (- (* y (- (+ (* -1 z) (* -1 (* y (+ (* -1 (/ (* x (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) z)) (+ (* -1/2 x) (* 1/6 x)))))) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))> |
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))> |
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))> |
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))> |
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))> |
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))> |
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))> |
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))> |
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))> |
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))> |
#<alt (+ (* x (- (* x (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))> |
#<alt (+ (* x (- (* x (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (/ (* x (* (sin y) (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y)))))))) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))> |
#<alt (* -1 (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y)))> |
#<alt (* x (+ (* -1 (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2)))) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y)))))> |
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y)))) (+ (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (* (pow x 2) (pow (sin y) 3))))))> |
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (+ (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y))) (/ (* z (* (cos y) (- (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3))))) (* (pow x 3) (sin y))))) (+ (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (* (pow x 2) (pow (sin y) 3))))))> |
#<alt (* -1 (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y)))> |
#<alt (* -1 (* x (- (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) x)) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) x)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (cos y) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))))) (* x (sin y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) x)) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) x)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))> |
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))> |
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))> |
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))> |
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))> |
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))> |
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))> |
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))> |
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) 1)))> |
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) 1)))> |
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) 1)))> |
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) 1)))> |
#<alt z> |
#<alt (+ z (* -1/2 (* (pow y 2) z)))> |
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))> |
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))> |
#<alt (* -1/720 (* (pow y 6) z))> |
#<alt (* (pow y 6) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))> |
#<alt (* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))> |
#<alt (* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (/ z (pow y 6))))))> |
#<alt (* -1/720 (* (pow y 6) z))> |
#<alt (* (pow y 6) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))> |
#<alt (* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))> |
#<alt (* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (/ z (pow y 6))))))> |
#<alt (* -1/720 y)> |
#<alt (* -1/720 y)> |
#<alt (* -1/720 y)> |
#<alt (* -1/720 y)> |
#<alt (* -1/720 y)> |
#<alt (* -1/720 y)> |
#<alt (* -1/720 y)> |
#<alt (* -1/720 y)> |
#<alt (* -1/720 y)> |
#<alt (* -1/720 y)> |
#<alt (* -1/720 y)> |
#<alt (* -1/720 y)> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))> |
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))> |
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))> |
114 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | y | @ | 0 | (* y -1/720) |
| 4.0ms | z | @ | 0 | (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) |
| 3.0ms | y | @ | 0 | (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) |
| 1.0ms | z | @ | inf | (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) |
| 1.0ms | z | @ | 0 | (+ (* (* z (* y y)) (+ (* (* y y) (+ (* y (* y -1/720)) 1/24)) -1/2)) z) |
| 1× | egg-herbie |
| 8 624× | lower-fma.f64 |
| 8 624× | lower-fma.f32 |
| 7 342× | lower-*.f64 |
| 7 342× | lower-*.f32 |
| 2 226× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 489 | 5955 |
| 1 | 1659 | 5864 |
| 2 | 5830 | 5831 |
| 0 | 8272 | 5316 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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))) |
(* 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) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* 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)) |
(* -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))))) |
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)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
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)))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos 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))) |
(cos y) |
(cos y) |
(cos y) |
(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) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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))) |
(* 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) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* 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 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x y) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* y (+ x (/ 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))))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x y) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (+ y (/ 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 y) |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
z |
(* z (+ 1 (/ (* x y) z))) |
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(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (sin y) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* z (cos y))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z))))) |
z |
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(* -1 (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y))) |
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(* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y)))) (+ (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (* (pow x 2) (pow (sin y) 3)))))) |
(* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (+ (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y))) (/ (* z (* (cos y) (- (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3))))) (* (pow x 3) (sin y))))) (+ (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (* (pow x 2) (pow (sin y) 3)))))) |
(* -1 (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y))) |
(* -1 (* x (- (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y)))))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) x)) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) x)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y)))))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (cos y) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))))) (* x (sin y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) x)) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) x)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y)))))) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
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(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) 1))) |
(* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) 1))) |
(* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) 1))) |
(* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) 1))) |
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)))))) |
(* -1/720 (* (pow y 6) z)) |
(* (pow y 6) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))) |
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))) |
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (/ z (pow y 6)))))) |
(* -1/720 (* (pow y 6) z)) |
(* (pow y 6) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))) |
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))) |
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (/ z (pow y 6)))))) |
(* -1/720 y) |
(* -1/720 y) |
(* -1/720 y) |
(* -1/720 y) |
(* -1/720 y) |
(* -1/720 y) |
(* -1/720 y) |
(* -1/720 y) |
(* -1/720 y) |
(* -1/720 y) |
(* -1/720 y) |
(* -1/720 y) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
| Outputs |
|---|
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) y) (*.f64 z #s(literal -1/2 binary64))) x) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) y) (*.f64 z #s(literal -1/2 binary64))) x) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
z |
(+ 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) |
(* y (+ x (/ z y))) |
(*.f64 y (+.f64 x (/.f64 z y))) |
(* y (+ x (/ z y))) |
(*.f64 y (+.f64 x (/.f64 z y))) |
(* y (+ x (/ z y))) |
(*.f64 y (+.f64 x (/.f64 z y))) |
(* x y) |
(*.f64 x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(*.f64 y (+.f64 x (/.f64 z y))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(*.f64 y (+.f64 x (/.f64 z y))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(*.f64 y (+.f64 x (/.f64 z y))) |
z |
(+ 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) |
(* x (+ y (/ z x))) |
(*.f64 x (+.f64 y (/.f64 z x))) |
(* x (+ y (/ z x))) |
(*.f64 x (+.f64 y (/.f64 z x))) |
(* x (+ y (/ z x))) |
(*.f64 x (+.f64 y (/.f64 z x))) |
(* x y) |
(*.f64 x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 x (+.f64 y (/.f64 z x))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 x (+.f64 y (/.f64 z x))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 x (+.f64 y (/.f64 z x))) |
(* 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) |
z |
(* z (+ 1 (/ (* x y) z))) |
(*.f64 z (fma.f64 y (/.f64 x z) #s(literal 1 binary64))) |
(* z (+ 1 (/ (* x y) z))) |
(*.f64 z (fma.f64 y (/.f64 x z) #s(literal 1 binary64))) |
(* z (+ 1 (/ (* x y) z))) |
(*.f64 z (fma.f64 y (/.f64 x z) #s(literal 1 binary64))) |
z |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (neg.f64 z)) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (neg.f64 z)) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (neg.f64 z)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) y) (*.f64 z #s(literal -1/2 binary64))) x) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
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z |
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(fma.f64 z (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) |
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(fma.f64 z (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) |
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(fma.f64 z (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) |
(* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) 1))) |
(*.f64 (neg.f64 z) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y (neg.f64 y)) #s(literal -1 binary64))) |
(* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) 1))) |
(*.f64 (neg.f64 z) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y (neg.f64 y)) #s(literal -1 binary64))) |
(* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) 1))) |
(*.f64 (neg.f64 z) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y (neg.f64 y)) #s(literal -1 binary64))) |
(* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) 1))) |
(*.f64 (neg.f64 z) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y (neg.f64 y)) #s(literal -1 binary64))) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z) |
(* -1/720 (* (pow y 6) z)) |
(*.f64 z (*.f64 #s(literal -1/720 binary64) (pow.f64 y #s(literal 6 binary64)))) |
(* (pow y 6) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 z (/.f64 #s(literal 1/24 binary64) (*.f64 y y)) (*.f64 z #s(literal -1/720 binary64)))) |
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 z (/.f64 #s(literal 1/24 binary64) (*.f64 y y)) (*.f64 z #s(literal -1/720 binary64))))) |
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (/ z (pow y 6)))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 z (/.f64 #s(literal 1/24 binary64) (*.f64 y y)) (fma.f64 z #s(literal -1/720 binary64) (/.f64 z (pow.f64 y #s(literal 6 binary64))))))) |
(* -1/720 (* (pow y 6) z)) |
(*.f64 z (*.f64 #s(literal -1/720 binary64) (pow.f64 y #s(literal 6 binary64)))) |
(* (pow y 6) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 z (/.f64 #s(literal 1/24 binary64) (*.f64 y y)) (*.f64 z #s(literal -1/720 binary64)))) |
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 z (/.f64 #s(literal 1/24 binary64) (*.f64 y y)) (*.f64 z #s(literal -1/720 binary64))))) |
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (/ z (pow y 6)))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 z (/.f64 #s(literal 1/24 binary64) (*.f64 y y)) (fma.f64 z #s(literal -1/720 binary64) (/.f64 z (pow.f64 y #s(literal 6 binary64))))))) |
(* -1/720 y) |
(*.f64 y #s(literal -1/720 binary64)) |
(* -1/720 y) |
(*.f64 y #s(literal -1/720 binary64)) |
(* -1/720 y) |
(*.f64 y #s(literal -1/720 binary64)) |
(* -1/720 y) |
(*.f64 y #s(literal -1/720 binary64)) |
(* -1/720 y) |
(*.f64 y #s(literal -1/720 binary64)) |
(* -1/720 y) |
(*.f64 y #s(literal -1/720 binary64)) |
(* -1/720 y) |
(*.f64 y #s(literal -1/720 binary64)) |
(* -1/720 y) |
(*.f64 y #s(literal -1/720 binary64)) |
(* -1/720 y) |
(*.f64 y #s(literal -1/720 binary64)) |
(* -1/720 y) |
(*.f64 y #s(literal -1/720 binary64)) |
(* -1/720 y) |
(*.f64 y #s(literal -1/720 binary64)) |
(* -1/720 y) |
(*.f64 y #s(literal -1/720 binary64)) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))) |
(*.f64 y (*.f64 y (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x x)))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) (*.f64 #s(literal 2/45 binary64) (*.f64 x (*.f64 x (*.f64 y y))))) (*.f64 x x))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 2/45 binary64)) (*.f64 #s(literal -1/315 binary64) (*.f64 x (*.f64 x (*.f64 y y))))) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
| 1× | batch-egg-rewrite |
| 4 824× | lower-*.f32 |
| 4 804× | lower-*.f64 |
| 4 792× | lower-/.f32 |
| 4 790× | lower-/.f64 |
| 3 822× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 217 |
| 0 | 71 | 188 |
| 1 | 281 | 162 |
| 2 | 2205 | 162 |
| 0 | 8137 | 161 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(fma.f64 y x z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) |
(*.f64 x (sin.f64 y)) |
#s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)) |
(-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) |
(*.f64 z (*.f64 y y)) |
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z) |
(*.f64 y #s(literal -1/720 binary64)) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
| Outputs |
|---|
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))) |
(+.f64 (/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))) (/.f64 (-.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (neg.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))) |
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(-.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) (fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) (fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))) |
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(*.f64 (/.f64 (*.f64 x x) (cos.f64 y)) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (cos.f64 y))) |
(*.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) |
(*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (*.f64 x x) (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 binary64))))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64))) (/.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 binary64))))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
Compiled 51 553 to 2 148 computations (95.8% saved)
36 alts after pruning (33 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 185 | 32 | 1 217 |
| Fresh | 12 | 1 | 13 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 199 | 36 | 1 235 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
| 76.0% | (fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| ▶ | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 41.8% | (/.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) z (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 x x)))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) | |
| 46.1% | (/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) | |
| 22.5% | (/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) | |
| 29.4% | (/.f64 #s(approx (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) | |
| 16.4% | (/.f64 #s(approx (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) | |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
| 50.3% | (+.f64 (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) | |
| 50.3% | (+.f64 (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) | |
| 50.2% | (+.f64 (*.f64 x #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) | |
| 99.1% | #s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))) | |
| 59.2% | #s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))) | |
| 26.4% | #s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 y)))) | |
| 91.9% | #s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (*.f64 z (fma.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))))) | |
| 50.6% | #s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) | |
| 92.4% | #s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))) | |
| 89.5% | #s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))) | |
| 40.4% | #s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y))) | |
| ▶ | 50.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)) |
| ✓ | 51.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| ▶ | 19.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
| 27.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x)))) | |
| 29.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z))) | |
| 51.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (+.f64 (*.f64 y x) z)) | |
| 29.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) | |
| ✓ | 59.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
| 36.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 36.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 36.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) | |
| 38.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| 44.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 z (fma.f64 y (/.f64 x z) #s(literal 1 binary64))))) | |
| ▶ | 17.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| 36.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z))) | |
| 36.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) |
Compiled 1 447 to 802 computations (44.6% 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 (sin.f64 y) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
| ✓ | cost-diff | 0 | (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))) |
| ✓ | cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
| ✓ | cost-diff | 320 | (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))) |
| ✓ | cost-diff | 0 | (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z) |
| ✓ | cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)) |
| ✓ | cost-diff | 0 | (*.f64 x y) |
| ✓ | cost-diff | 0 | #s(approx (+ (* y x) z) (*.f64 x y)) |
| ✓ | cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| ✓ | 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)) |
| 48 752× | lower-fma.f32 |
| 48 738× | lower-fma.f64 |
| 3 544× | lower-*.f32 |
| 3 526× | lower-*.f64 |
| 3 440× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 310 |
| 0 | 67 | 300 |
| 1 | 119 | 276 |
| 2 | 230 | 276 |
| 3 | 423 | 276 |
| 4 | 619 | 273 |
| 5 | 1017 | 273 |
| 6 | 1329 | 273 |
| 7 | 1866 | 273 |
| 8 | 2828 | 273 |
| 9 | 3766 | 273 |
| 10 | 4860 | 273 |
| 11 | 5749 | 273 |
| 12 | 6595 | 273 |
| 13 | 6781 | 273 |
| 14 | 6989 | 273 |
| 15 | 7158 | 273 |
| 16 | 7274 | 273 |
| 17 | 7274 | 273 |
| 18 | 7294 | 273 |
| 19 | 7294 | 273 |
| 20 | 7294 | 273 |
| 0 | 8638 | 268 |
| 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))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* y x) z) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z) |
y |
(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) |
(fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) |
z |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 y x) #s(literal -1/6 binary64)) |
(*.f64 y x) |
x |
#s(literal -1/6 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
(/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))) |
(fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) |
z |
(*.f64 z z) |
(*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))) |
(*.f64 y x) |
y |
x |
(*.f64 y (*.f64 x (*.f64 y x))) |
(*.f64 x (*.f64 y x)) |
(fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))) |
(*.f64 z (-.f64 z (*.f64 y x))) |
(-.f64 z (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
z |
(cos.f64 y) |
y |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
| Outputs |
|---|
(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))) #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 (+ (* y x) z) (*.f64 x y)) |
#s(approx (+ (* y x) z) (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z) |
y |
(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) |
(fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) |
z |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 y x) #s(literal -1/6 binary64)) |
(*.f64 y x) |
x |
#s(literal -1/6 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x (*.f64 y (*.f64 y (*.f64 y x)))))) (fma.f64 y (*.f64 x (-.f64 (*.f64 y x) z)) (*.f64 z z)))) |
(/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))) |
(/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x (*.f64 y (*.f64 y (*.f64 y x)))))) (fma.f64 y (*.f64 x (-.f64 (*.f64 y x) z)) (*.f64 z z))) |
(fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) |
(fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x (*.f64 y (*.f64 y (*.f64 y x)))))) |
z |
(*.f64 z z) |
(*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))) |
(*.f64 x (*.f64 x (*.f64 y (*.f64 y (*.f64 y x))))) |
(*.f64 y x) |
y |
x |
(*.f64 y (*.f64 x (*.f64 y x))) |
(*.f64 x (*.f64 y x)) |
(fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))) |
(fma.f64 y (*.f64 x (-.f64 (*.f64 y x) z)) (*.f64 z z)) |
(*.f64 z (-.f64 z (*.f64 y x))) |
(-.f64 z (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
z |
(cos.f64 y) |
y |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
| ✓ | accuracy | 99.8% | (*.f64 (sin.f64 y) x) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
| ✓ | accuracy | 94.7% | (*.f64 y (*.f64 x (*.f64 y x))) |
| ✓ | accuracy | 91.6% | (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))) |
| ✓ | accuracy | 51.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
| ✓ | accuracy | 37.0% | (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))) |
| ✓ | accuracy | 100.0% | (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) |
| ✓ | accuracy | 99.9% | (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) |
| ✓ | accuracy | 50.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)) |
| ✓ | accuracy | 100.0% | (*.f64 x y) |
| ✓ | accuracy | 54.0% | #s(approx (+ (* y x) z) (*.f64 x y)) |
| ✓ | accuracy | 51.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| ✓ | accuracy | 99.8% | (*.f64 (sin.f64 y) x) |
| 91.0ms | 256× | 0 | valid |
Compiled 265 to 39 computations (85.3% saved)
ival-mult: 37.0ms (52.2% of total)ival-add: 12.0ms (16.9% of total)ival-cos: 7.0ms (9.9% of total)ival-sin: 6.0ms (8.5% of total)ival-div: 5.0ms (7% of total)const: 4.0ms (5.6% of total)ival-sub: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))> |
#<alt (cos.f64 y)> |
#<alt (*.f64 (sin.f64 y) x)> |
#<alt (sin.f64 y)> |
#<alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))> |
#<alt #s(approx (+ (* y x) z) (*.f64 x y))> |
#<alt (*.f64 x y)> |
#<alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z))> |
#<alt (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)> |
#<alt (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x)> |
#<alt (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64)))> |
#<alt (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))> |
#<alt #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))))> |
#<alt (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))> |
#<alt (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))> |
#<alt (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))> |
#<alt (*.f64 (*.f64 y x) #s(literal -1/6 binary64))> |
#<alt (*.f64 y (*.f64 x (*.f64 y x)))> |
| Outputs |
|---|
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))> |
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* x (sin y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* z (cos y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* x (sin y))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (sin y))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))> |
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))> |
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (* z (cos y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* x (sin y))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (sin y))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))> |
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* x (sin y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (* x y)> |
#<alt (* y (+ x (/ z y)))> |
#<alt (* y (+ x (/ z y)))> |
#<alt (* y (+ x (/ z y)))> |
#<alt (* x y)> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (* x y)> |
#<alt (* x (+ y (/ z x)))> |
#<alt (* x (+ y (/ z x)))> |
#<alt (* x (+ y (/ z x)))> |
#<alt (* x y)> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))> |
#<alt (* x y)> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt z> |
#<alt (* z (+ 1 (/ (* x y) z)))> |
#<alt (* z (+ 1 (/ (* x y) z)))> |
#<alt (* z (+ 1 (/ (* x y) z)))> |
#<alt z> |
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* z (cos y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* x (sin y))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (sin y))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))> |
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* x (sin y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))> |
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))> |
#<alt (* -1/6 (* x (pow y 3)))> |
#<alt (* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))> |
#<alt (* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))> |
#<alt (* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3))))))> |
#<alt (* -1/6 (* x (pow y 3)))> |
#<alt (* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x))))> |
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))> |
#<alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))> |
#<alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))> |
#<alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))> |
#<alt (* z (+ 1 (* -1/2 (pow y 2))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))> |
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))> |
#<alt (+ z (* -1/2 (* (pow y 2) z)))> |
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))> |
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))> |
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))> |
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))> |
#<alt (* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))> |
#<alt (* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))> |
#<alt (* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))> |
#<alt (* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))> |
#<alt x> |
#<alt (+ x (* -1/2 (* y z)))> |
#<alt (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))> |
#<alt (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))> |
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x)))> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))> |
#<alt (+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))> |
#<alt (+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))> |
#<alt (* -1/2 (* y z))> |
#<alt (* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))> |
#<alt (* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))> |
#<alt (* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))> |
#<alt (* -1/2 (* y z))> |
#<alt (+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))> |
#<alt (+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))> |
#<alt (+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))> |
#<alt (* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))> |
#<alt (* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))> |
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))> |
#<alt (* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))> |
#<alt (* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))> |
#<alt (* -1/6 (* x y))> |
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))> |
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))> |
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))> |
#<alt (* -1/2 z)> |
#<alt (* z (- (* -1/6 (/ (* x y) z)) 1/2))> |
#<alt (* z (- (* -1/6 (/ (* x y) z)) 1/2))> |
#<alt (* z (- (* -1/6 (/ (* x y) z)) 1/2))> |
#<alt (* -1/2 z)> |
#<alt (* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))> |
#<alt (* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))> |
#<alt (* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))> |
#<alt (* -1/2 z)> |
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))> |
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))> |
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))> |
#<alt (* -1/6 (* x y))> |
#<alt (* y (+ (* -1/2 (/ z y)) (* -1/6 x)))> |
#<alt (* y (+ (* -1/2 (/ z y)) (* -1/6 x)))> |
#<alt (* y (+ (* -1/2 (/ z y)) (* -1/6 x)))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y)))))> |
#<alt (* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y)))))> |
#<alt (* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y)))))> |
#<alt (* -1/2 z)> |
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))> |
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))> |
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))> |
#<alt (* -1/6 (* x y))> |
#<alt (* x (+ (* -1/2 (/ z x)) (* -1/6 y)))> |
#<alt (* x (+ (* -1/2 (/ z x)) (* -1/6 y)))> |
#<alt (* x (+ (* -1/2 (/ z x)) (* -1/6 y)))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))> |
#<alt (* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))> |
#<alt (* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))> |
#<alt (pow z 2)> |
#<alt (+ (* -1 (* x (* y z))) (pow z 2))> |
#<alt (+ (* y (+ (* -1 (* x z)) (* (pow x 2) y))) (pow z 2))> |
#<alt (+ (* y (+ (* -1 (* x z)) (* (pow x 2) y))) (pow z 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (pow x 2)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (pow z 2) (pow y 2)) (pow x 2))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (pow z 2) (pow y 2)) (pow x 2))))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (pow x 2)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (* x z)) y)) (pow x 2)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (* x z)) y)) (pow x 2)))> |
#<alt (pow z 2)> |
#<alt (+ (* -1 (* x (* y z))) (pow z 2))> |
#<alt (+ (* x (+ (* -1 (* y z)) (* x (pow y 2)))) (pow z 2))> |
#<alt (+ (* x (+ (* -1 (* y z)) (* x (pow y 2)))) (pow z 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (+ (* -1 (/ (* y z) x)) (pow y 2)))> |
#<alt (* (pow x 2) (+ (* -1 (/ (* y z) x)) (+ (/ (pow z 2) (pow x 2)) (pow y 2))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (* y z) x)) (+ (/ (pow z 2) (pow x 2)) (pow y 2))))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (+ (* -1 (/ (* y z) x)) (pow y 2)))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) x)) (* y z)) x)) (pow y 2)))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) x)) (* y z)) x)) (pow y 2)))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (+ (* -1 (* x (* y z))) (* (pow x 2) (pow y 2)))> |
#<alt (+ (* z (+ z (* -1 (* x y)))) (* (pow x 2) (pow y 2)))> |
#<alt (+ (* z (+ z (* -1 (* x y)))) (* (pow x 2) (pow y 2)))> |
#<alt (pow z 2)> |
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))> |
#<alt (* (pow z 2) (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z)))> |
#<alt (* (pow z 2) (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z)))> |
#<alt (pow z 2)> |
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))> |
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y)) z))))> |
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y)) z))))> |
#<alt (* z (cos y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* x (sin y))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (sin y))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))> |
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* x (sin y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* x y)> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt z> |
#<alt (* z (+ 1 (/ (* x y) z)))> |
#<alt (* z (- (+ 1 (* -1 (/ (+ (* -1 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))) (pow z 2)))) (* -1 (/ (* x y) z))))> |
#<alt (* z (- (+ 1 (* -1 (/ (* x (* y (+ (* -1 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))))) (pow z 3)))) (+ (* -1 (/ (* x y) z)) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* (pow x 2) (pow y 2)) (pow z 2))))))> |
#<alt z> |
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (/ (* (pow x 2) (pow y 2)) z)) (* -1 (* x y))) z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (* y (+ (* -1 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))))) z)) (+ (* -1 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2)))) z)) (* -1 (* x y))) z)) 1)))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* y (- (* -1 (* y (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)))) (* -1 x))))> |
#<alt (+ z (* y (- (* y (- (* -1 (/ (* x (* y (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)))) z)) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)))) (* -1 x))))> |
#<alt (* x y)> |
#<alt (* y (+ x (/ z y)))> |
#<alt (* y (- (+ x (* -1 (/ (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)) (pow y 2)))) (* -1 (/ z y))))> |
#<alt (* y (- (+ x (* -1 (/ (* z (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))) (* x (pow y 3))))) (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (* x (pow y 2)))) (/ (pow z 2) (* x (pow y 2)))))))> |
#<alt (* x y)> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (pow z 2) (* x y))) (/ (pow z 2) (* x y))) (* -1 z)) y)))))> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))) (* x y))) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))) y)) (* -1 z)) y)))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x (- (* -1 (* x (+ (* -1 (/ (pow y 2) z)) (/ (pow y 2) z)))) (* -1 y))))> |
#<alt (+ z (* x (- (* x (- (* -1 (/ (* x (* y (+ (* -1 (/ (pow y 2) z)) (/ (pow y 2) z)))) z)) (+ (* -1 (/ (pow y 2) z)) (/ (pow y 2) z)))) (* -1 y))))> |
#<alt (* x y)> |
#<alt (* x (+ y (/ z x)))> |
#<alt (* x (- (+ y (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y)) (pow x 2)))) (* -1 (/ z x))))> |
#<alt (* x (- (+ y (* -1 (/ (* z (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y))) (* (pow x 3) y)))) (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (/ (pow z 2) (* (pow x 2) y))))))> |
#<alt (* x y)> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 2) (* x y))) (/ (pow z 2) (* x y))) (* -1 z)) x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y))) (* x y))) (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y))) x)) (* -1 z)) x)))))> |
#<alt (* (pow x 3) (pow y 3))> |
#<alt (+ (* (pow x 3) (pow y 3)) (pow z 3))> |
#<alt (+ (* (pow x 3) (pow y 3)) (pow z 3))> |
#<alt (+ (* (pow x 3) (pow y 3)) (pow z 3))> |
#<alt (pow z 3)> |
#<alt (* (pow z 3) (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3))))> |
#<alt (* (pow z 3) (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3))))> |
#<alt (* (pow z 3) (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3))))> |
#<alt (pow z 3)> |
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))> |
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))> |
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))> |
#<alt (pow z 3)> |
#<alt (+ (* (pow x 3) (pow y 3)) (pow z 3))> |
#<alt (+ (* (pow x 3) (pow y 3)) (pow z 3))> |
#<alt (+ (* (pow x 3) (pow y 3)) (pow z 3))> |
#<alt (* (pow x 3) (pow y 3))> |
#<alt (* (pow y 3) (+ (/ (pow z 3) (pow y 3)) (pow x 3)))> |
#<alt (* (pow y 3) (+ (/ (pow z 3) (pow y 3)) (pow x 3)))> |
#<alt (* (pow y 3) (+ (/ (pow z 3) (pow y 3)) (pow x 3)))> |
#<alt (* (pow x 3) (pow y 3))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* -1 (pow x 3)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* -1 (pow x 3)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* -1 (pow x 3)))))> |
#<alt (pow z 3)> |
#<alt (+ (* (pow x 3) (pow y 3)) (pow z 3))> |
#<alt (+ (* (pow x 3) (pow y 3)) (pow z 3))> |
#<alt (+ (* (pow x 3) (pow y 3)) (pow z 3))> |
#<alt (* (pow x 3) (pow y 3))> |
#<alt (* (pow x 3) (+ (/ (pow z 3) (pow x 3)) (pow y 3)))> |
#<alt (* (pow x 3) (+ (/ (pow z 3) (pow x 3)) (pow y 3)))> |
#<alt (* (pow x 3) (+ (/ (pow z 3) (pow x 3)) (pow y 3)))> |
#<alt (* (pow x 3) (pow y 3))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1 (pow y 3)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1 (pow y 3)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1 (pow y 3)))))> |
#<alt (* x (sin y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))> |
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* x (sin y))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (sin y))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (/ 1 (* x (sin y)))> |
#<alt (+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))> |
#<alt (+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))> |
#<alt (+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))> |
#<alt (/ 1 (* z (cos y)))> |
#<alt (/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)> |
#<alt (/ (- (+ (/ 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)> |
#<alt (/ (- (+ (* -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)> |
#<alt (/ 1 (* z (cos y)))> |
#<alt (* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))> |
#<alt (* -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))> |
#<alt (* -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))> |
#<alt (/ 1 z)> |
#<alt (+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))> |
#<alt (+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))> |
#<alt (+ (* 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))> |
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))> |
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))> |
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))> |
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))> |
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))> |
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))> |
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))> |
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))> |
#<alt (/ 1 (* z (cos y)))> |
#<alt (+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))> |
#<alt (+ (* 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))))> |
#<alt (+ (* 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))))> |
#<alt (/ 1 (* x (sin y)))> |
#<alt (/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)> |
#<alt (/ (- (+ (/ 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)> |
#<alt (/ (- (+ (* -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)> |
#<alt (/ 1 (* x (sin y)))> |
#<alt (* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x))> |
#<alt (* -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))> |
#<alt (* -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))> |
#<alt (* x (sin y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))> |
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* x (sin y))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (sin y))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
156 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | (+ (* y (* x (* y x))) (* z (- z (* y x)))) |
| 3.0ms | x | @ | 0 | (+ (* y (* x (* y x))) (* z (- z (* y x)))) |
| 2.0ms | z | @ | inf | (/ 1 (+ (* z (cos y)) (* (sin y) x))) |
| 1.0ms | y | @ | -inf | (+ (* y (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x)) z) |
| 1.0ms | z | @ | 0 | (/ (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (+ (* y (* x (* y x))) (* z (- z (* y x))))) |
| 1× | egg-herbie |
| 9 580× | lower-fma.f64 |
| 9 580× | lower-fma.f32 |
| 6 328× | lower-*.f64 |
| 6 328× | lower-*.f32 |
| 2 632× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 640 | 6512 |
| 1 | 2239 | 6176 |
| 0 | 8229 | 5737 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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))) |
(* 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) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* 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 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* 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) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(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) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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))) |
(* 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) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* 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 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x y) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* y (+ x (/ 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))))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x y) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (+ y (/ 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 y) |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
z |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
z |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* 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) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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))) |
(* 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) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* 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 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* 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))))))) |
(* -1/6 (* 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 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)))) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* 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 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(+ z (* -1/2 (* (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))))))) |
(* 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)))) |
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1))))) |
x |
(+ x (* -1/2 (* y z))) |
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))) |
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))) |
(* -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 (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))) |
(+ 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))))) |
(* -1/2 (* 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 (* 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 (* 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))))) |
(* 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 (* 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)) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(* -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)) |
(* -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))))) |
(* -1/2 z) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(* -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))) |
(* -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))))) |
(* -1/2 z) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(* -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))) |
(* -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))))) |
(pow z 2) |
(+ (* -1 (* x (* y z))) (pow z 2)) |
(+ (* y (+ (* -1 (* x z)) (* (pow x 2) y))) (pow z 2)) |
(+ (* y (+ (* -1 (* x z)) (* (pow x 2) y))) (pow z 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (pow x 2))) |
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (pow z 2) (pow y 2)) (pow x 2)))) |
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (pow z 2) (pow y 2)) (pow x 2)))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (pow x 2))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (* x z)) y)) (pow x 2))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (* x z)) y)) (pow x 2))) |
(pow z 2) |
(+ (* -1 (* x (* y z))) (pow z 2)) |
(+ (* x (+ (* -1 (* y z)) (* x (pow y 2)))) (pow z 2)) |
(+ (* x (+ (* -1 (* y z)) (* x (pow y 2)))) (pow z 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (* -1 (/ (* y z) x)) (pow y 2))) |
(* (pow x 2) (+ (* -1 (/ (* y z) x)) (+ (/ (pow z 2) (pow x 2)) (pow y 2)))) |
(* (pow x 2) (+ (* -1 (/ (* y z) x)) (+ (/ (pow z 2) (pow x 2)) (pow y 2)))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (* -1 (/ (* y z) x)) (pow y 2))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) x)) (* y z)) x)) (pow y 2))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) x)) (* y z)) x)) (pow y 2))) |
(* (pow x 2) (pow y 2)) |
(+ (* -1 (* x (* y z))) (* (pow x 2) (pow y 2))) |
(+ (* z (+ z (* -1 (* x y)))) (* (pow x 2) (pow y 2))) |
(+ (* z (+ z (* -1 (* x y)))) (* (pow x 2) (pow y 2))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* x y) z)))) |
(* (pow z 2) (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z))) |
(* (pow z 2) (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* x y) z)))) |
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y)) z)))) |
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y)) z)))) |
(* 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) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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))) |
(* 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) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* 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 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* x y) |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
z |
(* z (+ 1 (/ (* x y) z))) |
(* z (- (+ 1 (* -1 (/ (+ (* -1 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))) (pow z 2)))) (* -1 (/ (* x y) z)))) |
(* z (- (+ 1 (* -1 (/ (* x (* y (+ (* -1 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))))) (pow z 3)))) (+ (* -1 (/ (* x y) z)) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* (pow x 2) (pow y 2)) (pow z 2)))))) |
z |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (/ (* (pow x 2) (pow y 2)) z)) (* -1 (* x y))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (* y (+ (* -1 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))))) z)) (+ (* -1 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2)))) z)) (* -1 (* x y))) z)) 1))) |
z |
(+ z (* x y)) |
(+ z (* y (- (* -1 (* y (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)))) (* -1 x)))) |
(+ z (* y (- (* y (- (* -1 (/ (* x (* y (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)))) z)) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)))) (* -1 x)))) |
(* x y) |
(* y (+ x (/ z y))) |
(* y (- (+ x (* -1 (/ (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)) (pow y 2)))) (* -1 (/ z y)))) |
(* y (- (+ x (* -1 (/ (* z (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))) (* x (pow y 3))))) (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (* x (pow y 2)))) (/ (pow z 2) (* x (pow y 2))))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (pow z 2) (* x y))) (/ (pow z 2) (* x y))) (* -1 z)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))) (* x y))) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))) y)) (* -1 z)) y))))) |
z |
(+ z (* x y)) |
(+ z (* x (- (* -1 (* x (+ (* -1 (/ (pow y 2) z)) (/ (pow y 2) z)))) (* -1 y)))) |
(+ z (* x (- (* x (- (* -1 (/ (* x (* y (+ (* -1 (/ (pow y 2) z)) (/ (pow y 2) z)))) z)) (+ (* -1 (/ (pow y 2) z)) (/ (pow y 2) z)))) (* -1 y)))) |
(* x y) |
(* x (+ y (/ z x))) |
(* x (- (+ y (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y)) (pow x 2)))) (* -1 (/ z x)))) |
(* x (- (+ y (* -1 (/ (* z (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y))) (* (pow x 3) y)))) (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (/ (pow z 2) (* (pow x 2) y)))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 2) (* x y))) (/ (pow z 2) (* x y))) (* -1 z)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y))) (* x y))) (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y))) x)) (* -1 z)) x))))) |
(* (pow x 3) (pow y 3)) |
(+ (* (pow x 3) (pow y 3)) (pow z 3)) |
(+ (* (pow x 3) (pow y 3)) (pow z 3)) |
(+ (* (pow x 3) (pow y 3)) (pow z 3)) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) |
(* (pow z 3) (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) |
(* (pow z 3) (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) |
(pow z 3) |
(* -1 (* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1))) |
(* -1 (* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1))) |
(* -1 (* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1))) |
(pow z 3) |
(+ (* (pow x 3) (pow y 3)) (pow z 3)) |
(+ (* (pow x 3) (pow y 3)) (pow z 3)) |
(+ (* (pow x 3) (pow y 3)) (pow z 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow y 3) (+ (/ (pow z 3) (pow y 3)) (pow x 3))) |
(* (pow y 3) (+ (/ (pow z 3) (pow y 3)) (pow x 3))) |
(* (pow y 3) (+ (/ (pow z 3) (pow y 3)) (pow x 3))) |
(* (pow x 3) (pow y 3)) |
(* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* -1 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* -1 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* -1 (pow x 3))))) |
(pow z 3) |
(+ (* (pow x 3) (pow y 3)) (pow z 3)) |
(+ (* (pow x 3) (pow y 3)) (pow z 3)) |
(+ (* (pow x 3) (pow y 3)) (pow z 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (+ (/ (pow z 3) (pow x 3)) (pow y 3))) |
(* (pow x 3) (+ (/ (pow z 3) (pow x 3)) (pow y 3))) |
(* (pow x 3) (+ (/ (pow z 3) (pow x 3)) (pow y 3))) |
(* (pow x 3) (pow y 3)) |
(* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1 (pow y 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1 (pow y 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1 (pow y 3))))) |
(* 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) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* 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 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* 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))))))) |
(+ (* 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))) |
(* 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) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(/ 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)))) |
(/ 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) |
(/ 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)) |
(/ 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)) |
(/ 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)))) |
(/ 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)))) |
(/ 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)))) |
(/ 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) |
(/ 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)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin 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)) |
(* -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 |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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))) |
(* 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) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
| Outputs |
|---|
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
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(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* -1/6 (* x y)) |
(*.f64 x (*.f64 y #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 x (*.f64 y #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 x (*.f64 y #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 x (*.f64 y #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 x (*.f64 y #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 x (*.f64 y #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 x (*.f64 y #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 x (*.f64 y #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 x (*.f64 y #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 x (*.f64 y #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 x (*.f64 y #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 x (*.f64 y #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 x (*.f64 y #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 x (*.f64 y #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 x (*.f64 y #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 x (*.f64 y #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 x (*.f64 y #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 x (*.f64 y #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 x (*.f64 y #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 x (*.f64 y #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 x (*.f64 y #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 x (*.f64 y #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 x (*.f64 y #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 x (*.f64 y #s(literal -1/6 binary64))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
| 1× | batch-egg-rewrite |
| 7 326× | lower-fma.f32 |
| 7 312× | lower-fma.f64 |
| 4 332× | lower-*.f32 |
| 4 314× | lower-*.f64 |
| 3 968× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 248 |
| 0 | 67 | 213 |
| 1 | 261 | 179 |
| 2 | 1804 | 179 |
| 0 | 8150 | 174 |
| 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))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* y x) z) (*.f64 x y)) |
(*.f64 x y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z) |
(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) |
(fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) |
(fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
(/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))) |
(fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(*.f64 (*.f64 y x) #s(literal -1/6 binary64)) |
(*.f64 y (*.f64 x (*.f64 y x))) |
| Outputs |
|---|
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (neg.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(+.f64 (*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(fma.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (neg.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) |
(neg.f64 (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))))) |
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) |
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(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) |
(*.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) |
(*.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))) |
(*.f64 y (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 x (*.f64 y #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y x) #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y x)) |
(*.f64 (*.f64 x #s(literal -1/6 binary64)) y) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) x) |
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (*.f64 y x)) #s(literal 2 binary64)) |
(*.f64 y (*.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y x) (*.f64 y x)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(*.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (neg.f64 (*.f64 y x)) (neg.f64 (*.f64 y x))) |
(*.f64 (*.f64 y (*.f64 y x)) x) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
Compiled 47 098 to 2 380 computations (94.9% saved)
60 alts after pruning (54 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 424 | 31 | 1 455 |
| Fresh | 5 | 23 | 28 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 431 | 60 | 1 491 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
| 76.0% | (fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 48.0% | (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 46.1% | (/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) | |
| 22.5% | (/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) | |
| 29.4% | (/.f64 #s(approx (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) | |
| 16.4% | (/.f64 #s(approx (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) | |
| 50.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)))) | |
| 59.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (*.f64 z (cos.f64 y))))) | |
| 40.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (*.f64 x (sin.f64 y))))) | |
| 37.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z))) | |
| 32.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* (sin y) x))) (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y (/.f64 x (*.f64 z z)))))) | |
| 50.3% | (+.f64 (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) | |
| 50.3% | (+.f64 (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) | |
| 50.2% | (+.f64 (*.f64 x #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) | |
| ▶ | 99.1% | #s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))) |
| 59.2% | #s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))) | |
| 26.4% | #s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 y)))) | |
| 91.9% | #s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (*.f64 z (fma.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))))) | |
| 50.6% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) | |
| 92.4% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))) | |
| 89.5% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))) | |
| ▶ | 40.4% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 x (sin.f64 y))) |
| ▶ | 50.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) y z)) |
| 21.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (*.f64 y (*.f64 y (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z))))) | |
| ✓ | 50.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)) |
| 50.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))))) x) z)) | |
| 45.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y #s(approx (+ (* z -1/2) (* (* y x) -1/6)) (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (*.f64 y #s(literal -1/6 binary64))))) x) z)) | |
| 50.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y #s(approx (+ (* z -1/2) (* (* y x) -1/6)) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)) | |
| 36.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) z)) | |
| ✓ | 51.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 19.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 (*.f64 y (*.f64 y x)) x))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) | |
| 15.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (fma.f64 (-.f64 z (*.f64 y x)) z (*.f64 y (*.f64 y (*.f64 x x)))))) | |
| 4.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 (*.f64 y y) (fma.f64 x x (/.f64 (*.f64 z (neg.f64 x)) y)))))) | |
| 5.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (fma.f64 z (neg.f64 y) (*.f64 x (*.f64 y y))))))) | |
| ▶ | 6.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))))) |
| 14.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))))))) | |
| 27.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x)))) | |
| 15.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 y x)))) (fma.f64 y x z)) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) | |
| 29.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z))) | |
| 9.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (*.f64 (*.f64 z (*.f64 z z)) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) | |
| 5.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (/.f64 (*.f64 z z) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) | |
| 21.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 y x))) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 z (*.f64 y x))))) | |
| 51.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (+.f64 (*.f64 y x) z)) | |
| 29.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) | |
| ✓ | 59.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
| 36.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 36.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 36.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) | |
| ▶ | 38.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
| 49.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (+ (* y (* x (* y x))) (* z (- z (* y x))))) (*.f64 z (fma.f64 x (*.f64 y #s(literal 0 binary64)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))))) | |
| 16.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x)) z) (*.f64 (fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x) y))) | |
| 2.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x)) z) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) (*.f64 x #s(literal -1/6 binary64)))))) | |
| 3.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x)) z) (*.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) (*.f64 y y)))) | |
| 16.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x)) z) (*.f64 y (fma.f64 (*.f64 x y) (*.f64 y #s(literal -1/6 binary64)) x)))) | |
| 44.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 z (fma.f64 y (/.f64 x z) #s(literal 1 binary64))))) | |
| ✓ | 17.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| 36.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z))) | |
| 36.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) |
Compiled 2 518 to 1 323 computations (47.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 x (sin.f64 y)) |
| ✓ | cost-diff | 0 | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 x (sin.f64 y))) |
| ✓ | cost-diff | 0 | (*.f64 z z) |
| ✓ | cost-diff | 0 | (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y))))) |
| ✓ | cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))))) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) y z) |
| ✓ | cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) y z)) |
| ✓ | cost-diff | 0 | #s(approx (cos y) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) |
| ✓ | cost-diff | 0 | #s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))) |
| ✓ | cost-diff | 13888 | (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) |
| 9 656× | lower-fma.f32 |
| 9 644× | lower-fma.f64 |
| 4 472× | lower-*.f32 |
| 4 442× | lower-*.f64 |
| 1 542× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 469 |
| 0 | 108 | 462 |
| 1 | 209 | 438 |
| 2 | 450 | 438 |
| 3 | 1077 | 420 |
| 4 | 2518 | 412 |
| 5 | 5855 | 412 |
| 0 | 8119 | 401 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))) |
(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) |
z |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(*.f64 y #s(literal -2 binary64)) |
y |
#s(literal -2 binary64) |
(cos.f64 y) |
(*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
x |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(sin.f64 y) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(*.f64 z #s(approx (cos y) #s(literal 1 binary64))) |
z |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) y z)) |
(fma.f64 (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) y z) |
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) |
y |
(fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) |
(*.f64 x #s(literal -1/6 binary64)) |
x |
#s(literal -1/6 binary64) |
(*.f64 z #s(literal -1/2 binary64)) |
z |
#s(literal -1/2 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))))) |
(/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y))))) |
(fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) |
z |
(*.f64 z z) |
(*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))) |
(*.f64 y x) |
y |
x |
(*.f64 y (*.f64 x (*.f64 y x))) |
(*.f64 x (*.f64 y x)) |
#s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(*.f64 x (*.f64 y y)) |
(*.f64 y y) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 x (sin.f64 y))) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
| Outputs |
|---|
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))) |
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (fma.f64 (sin.f64 y) (/.f64 x (cos.f64 y)) z)) (cos.f64 y))) |
(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (fma.f64 (sin.f64 y) (/.f64 x (cos.f64 y)) z)) (cos.f64 y)) |
z |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(*.f64 y #s(literal -2 binary64)) |
y |
#s(literal -2 binary64) |
(cos.f64 y) |
(*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
x |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(sin.f64 y) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(*.f64 z #s(approx (cos y) #s(literal 1 binary64))) |
z |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) y z)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y (*.f64 x #s(literal -1/6 binary64)))) x) z)) |
(fma.f64 (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) y z) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y (*.f64 x #s(literal -1/6 binary64)))) x) z) |
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) |
(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y (*.f64 x #s(literal -1/6 binary64)))) x) |
y |
(fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) |
(fma.f64 z #s(literal -1/2 binary64) (*.f64 y (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 x #s(literal -1/6 binary64)) |
x |
#s(literal -1/6 binary64) |
(*.f64 z #s(literal -1/2 binary64)) |
z |
#s(literal -1/2 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 y x)))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 y (*.f64 y x)))))) |
(/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y))))) |
(/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 y x)))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 y (*.f64 y x))))) |
(fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) |
(fma.f64 z (*.f64 z z) (*.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 y x)))))) |
z |
(*.f64 z z) |
(*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))) |
(*.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 y x))))) |
(*.f64 y x) |
y |
x |
(*.f64 y (*.f64 x (*.f64 y x))) |
(*.f64 x (*.f64 y (*.f64 y x))) |
(*.f64 x (*.f64 y x)) |
(*.f64 y (*.f64 x x)) |
#s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))) |
#s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 y (*.f64 y x)))) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(*.f64 x (*.f64 y (*.f64 y x))) |
(*.f64 x (*.f64 y y)) |
(*.f64 y (*.f64 y x)) |
(*.f64 y y) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 x (sin.f64 y))) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 x (sin.f64 y)) |
| ✓ | accuracy | 40.5% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 x (sin.f64 y))) |
| ✓ | accuracy | 86.7% | (*.f64 x (*.f64 y y)) |
| ✓ | accuracy | 61.6% | #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))) |
| ✓ | accuracy | 51.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))))) |
| ✓ | accuracy | 37.0% | (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y))))) |
| ✓ | accuracy | 99.9% | (fma.f64 (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) y z) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal -1/6 binary64)) |
| ✓ | accuracy | 50.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) y z)) |
| ✓ | accuracy | 99.8% | (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) |
| ✓ | accuracy | 59.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
| ✓ | accuracy | 54.7% | #s(approx (cos y) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.6% | (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) |
| ✓ | accuracy | 99.6% | (pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.4% | (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
| 144.0ms | 202× | 0 | valid |
| 58.0ms | 54× | 1 | valid |
Compiled 368 to 64 computations (82.6% saved)
ival-mult: 57.0ms (36.3% of total)ival-add: 29.0ms (18.5% of total)ival-cos: 25.0ms (15.9% of total)ival-sin: 12.0ms (7.6% of total)ival-div: 11.0ms (7% of total)adjust: 6.0ms (3.8% of total)ival-pow2: 6.0ms (3.8% of total)ival-sub: 5.0ms (3.2% of total)const: 4.0ms (2.5% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))> |
#<alt #s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))))> |
#<alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))> |
#<alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))> |
#<alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))> |
#<alt (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))> |
#<alt #s(approx (cos y) #s(literal 1 binary64))> |
#<alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) y z))> |
#<alt (fma.f64 (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) y z)> |
#<alt (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x)> |
#<alt (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))> |
#<alt #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y))))))> |
#<alt (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))))> |
#<alt (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))))> |
#<alt (*.f64 z z)> |
#<alt #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 x (sin.f64 y)))> |
#<alt (*.f64 x (sin.f64 y))> |
#<alt (sin.f64 y)> |
#<alt (pow.f64 (cos.f64 y) #s(literal 2 binary64))> |
#<alt (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))> |
#<alt (*.f64 x #s(literal -1/6 binary64))> |
#<alt #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y))))> |
#<alt (*.f64 x (*.f64 y y))> |
| Outputs |
|---|
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))> |
#<alt (+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))> |
#<alt (* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2))))))> |
#<alt (* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2))))))> |
#<alt (* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2))))))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* y (+ x (* y (- (* -1 z) (* -1/2 z))))))> |
#<alt (+ z (* y (+ x (* y (- (+ (* -1 z) (* y (- (* -7/6 x) (* -1 x)))) (* -1/2 z))))))> |
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))> |
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))> |
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))> |
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))> |
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))> |
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))> |
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))> |
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))> |
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))> |
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))> |
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))> |
#<alt (* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))> |
#<alt (* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))> |
#<alt (* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))> |
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))> |
#<alt (* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))> |
#<alt (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))> |
#<alt (+ (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))> |
#<alt (+ (* z (- (* z (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (+ (* z (- (* z (- (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (/ (* z (* (cos y) (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3))))))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))> |
#<alt (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))> |
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))> |
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (- (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow z 3) (cos y)))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))> |
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (sin y) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* z (cos y))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* y (- (* y (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))> |
#<alt (+ z (* y (- (* y (- (+ (* -1 z) (* -1 (* y (+ (* -1 (/ (* x (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) z)) (+ (* -1/2 x) (* 1/6 x)))))) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))> |
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))> |
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))> |
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))> |
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))> |
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))> |
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))> |
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))> |
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))> |
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))> |
#<alt (+ (* x (- (* x (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))> |
#<alt (+ (* x (- (* x (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (/ (* x (* (sin y) (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y)))))))) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))> |
#<alt (* -1 (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y)))> |
#<alt (* x (+ (* -1 (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2)))) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y)))))> |
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y)))) (+ (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (* (pow x 2) (pow (sin y) 3))))))> |
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (+ (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y))) (/ (* z (* (cos y) (- (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3))))) (* (pow x 3) (sin y))))) (+ (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (* (pow x 2) (pow (sin y) 3))))))> |
#<alt (* -1 (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y)))> |
#<alt (* -1 (* x (- (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) x)) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) x)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (cos y) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))))) (* x (sin y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) x)) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) x)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))> |
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))> |
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))> |
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))> |
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))> |
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))> |
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))> |
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))> |
#<alt 1> |
#<alt (+ 1 (* -1 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (* z (cos y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* x (sin y))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (sin y))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))> |
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* x (sin y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt z> |
#<alt (+ z (* -1/2 (* (pow y 2) z)))> |
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))> |
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (* z (cos y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* x (sin y))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (sin y))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))> |
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* x (sin y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))> |
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))> |
#<alt (* -1/6 (* x (pow y 3)))> |
#<alt (* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))> |
#<alt (* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))> |
#<alt (* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3))))))> |
#<alt (* -1/6 (* x (pow y 3)))> |
#<alt (* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x))))> |
#<alt (+ z (* -1/2 (* (pow y 2) z)))> |
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))> |
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))> |
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))> |
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))> |
#<alt (* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))> |
#<alt (* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))> |
#<alt (* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))> |
#<alt (* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))> |
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))> |
#<alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))> |
#<alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))> |
#<alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))> |
#<alt (* z (+ 1 (* -1/2 (pow y 2))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))> |
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))> |
#<alt x> |
#<alt (+ x (* -1/2 (* y z)))> |
#<alt (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))> |
#<alt (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))> |
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x)))> |
#<alt (* -1/2 (* y z))> |
#<alt (+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))> |
#<alt (+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))> |
#<alt (+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))> |
#<alt (* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))> |
#<alt (* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))> |
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))> |
#<alt (* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))> |
#<alt (* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))> |
#<alt (+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))> |
#<alt (+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))> |
#<alt (* -1/2 (* y z))> |
#<alt (* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))> |
#<alt (* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))> |
#<alt (* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))> |
#<alt (* -1/2 z)> |
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))> |
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))> |
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))> |
#<alt (* -1/6 (* x y))> |
#<alt (* y (+ (* -1/2 (/ z y)) (* -1/6 x)))> |
#<alt (* y (+ (* -1/2 (/ z y)) (* -1/6 x)))> |
#<alt (* y (+ (* -1/2 (/ z y)) (* -1/6 x)))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y)))))> |
#<alt (* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y)))))> |
#<alt (* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y)))))> |
#<alt (* -1/2 z)> |
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))> |
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))> |
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))> |
#<alt (* -1/6 (* x y))> |
#<alt (* x (+ (* -1/2 (/ z x)) (* -1/6 y)))> |
#<alt (* x (+ (* -1/2 (/ z x)) (* -1/6 y)))> |
#<alt (* x (+ (* -1/2 (/ z x)) (* -1/6 y)))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))> |
#<alt (* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))> |
#<alt (* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))> |
#<alt (* -1/6 (* x y))> |
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))> |
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))> |
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))> |
#<alt (* -1/2 z)> |
#<alt (* z (- (* -1/6 (/ (* x y) z)) 1/2))> |
#<alt (* z (- (* -1/6 (/ (* x y) z)) 1/2))> |
#<alt (* z (- (* -1/6 (/ (* x y) z)) 1/2))> |
#<alt (* -1/2 z)> |
#<alt (* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))> |
#<alt (* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))> |
#<alt (* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))> |
#<alt (* z (cos y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* x (sin y))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (sin y))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))> |
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* x (sin y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* x y)> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt z> |
#<alt (* z (+ 1 (/ (* x y) z)))> |
#<alt (* z (- (+ 1 (* -1 (/ (+ (* -1 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))) (pow z 2)))) (* -1 (/ (* x y) z))))> |
#<alt (* z (- (+ 1 (* -1 (/ (* x (* y (+ (* -1 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))))) (pow z 3)))) (+ (* -1 (/ (* x y) z)) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* (pow x 2) (pow y 2)) (pow z 2))))))> |
#<alt z> |
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (/ (* (pow x 2) (pow y 2)) z)) (* -1 (* x y))) z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (* y (+ (* -1 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))))) z)) (+ (* -1 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2)))) z)) (* -1 (* x y))) z)) 1)))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* y (- (* -1 (* y (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)))) (* -1 x))))> |
#<alt (+ z (* y (- (* y (- (* -1 (/ (* x (* y (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)))) z)) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)))) (* -1 x))))> |
#<alt (* x y)> |
#<alt (* y (+ x (/ z y)))> |
#<alt (* y (- (+ x (* -1 (/ (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)) (pow y 2)))) (* -1 (/ z y))))> |
#<alt (* y (- (+ x (* -1 (/ (* z (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))) (* x (pow y 3))))) (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (* x (pow y 2)))) (/ (pow z 2) (* x (pow y 2)))))))> |
#<alt (* x y)> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (pow z 2) (* x y))) (/ (pow z 2) (* x y))) (* -1 z)) y)))))> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))) (* x y))) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))) y)) (* -1 z)) y)))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x (- (* -1 (* x (+ (* -1 (/ (pow y 2) z)) (/ (pow y 2) z)))) (* -1 y))))> |
#<alt (+ z (* x (- (* x (- (* -1 (/ (* x (* y (+ (* -1 (/ (pow y 2) z)) (/ (pow y 2) z)))) z)) (+ (* -1 (/ (pow y 2) z)) (/ (pow y 2) z)))) (* -1 y))))> |
#<alt (* x y)> |
#<alt (* x (+ y (/ z x)))> |
#<alt (* x (- (+ y (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y)) (pow x 2)))) (* -1 (/ z x))))> |
#<alt (* x (- (+ y (* -1 (/ (* z (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y))) (* (pow x 3) y)))) (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (/ (pow z 2) (* (pow x 2) y))))))> |
#<alt (* x y)> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 2) (* x y))) (/ (pow z 2) (* x y))) (* -1 z)) x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y))) (* x y))) (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y))) x)) (* -1 z)) x)))))> |
#<alt (* (pow x 3) (pow y 3))> |
#<alt (+ (* (pow x 3) (pow y 3)) (pow z 3))> |
#<alt (+ (* (pow x 3) (pow y 3)) (pow z 3))> |
#<alt (+ (* (pow x 3) (pow y 3)) (pow z 3))> |
#<alt (pow z 3)> |
#<alt (* (pow z 3) (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3))))> |
#<alt (* (pow z 3) (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3))))> |
#<alt (* (pow z 3) (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3))))> |
#<alt (pow z 3)> |
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))> |
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))> |
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))> |
#<alt (pow z 3)> |
#<alt (+ (* (pow x 3) (pow y 3)) (pow z 3))> |
#<alt (+ (* (pow x 3) (pow y 3)) (pow z 3))> |
#<alt (+ (* (pow x 3) (pow y 3)) (pow z 3))> |
#<alt (* (pow x 3) (pow y 3))> |
#<alt (* (pow y 3) (+ (/ (pow z 3) (pow y 3)) (pow x 3)))> |
#<alt (* (pow y 3) (+ (/ (pow z 3) (pow y 3)) (pow x 3)))> |
#<alt (* (pow y 3) (+ (/ (pow z 3) (pow y 3)) (pow x 3)))> |
#<alt (* (pow x 3) (pow y 3))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* -1 (pow x 3)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* -1 (pow x 3)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* -1 (pow x 3)))))> |
#<alt (pow z 3)> |
#<alt (+ (* (pow x 3) (pow y 3)) (pow z 3))> |
#<alt (+ (* (pow x 3) (pow y 3)) (pow z 3))> |
#<alt (+ (* (pow x 3) (pow y 3)) (pow z 3))> |
#<alt (* (pow x 3) (pow y 3))> |
#<alt (* (pow x 3) (+ (/ (pow z 3) (pow x 3)) (pow y 3)))> |
#<alt (* (pow x 3) (+ (/ (pow z 3) (pow x 3)) (pow y 3)))> |
#<alt (* (pow x 3) (+ (/ (pow z 3) (pow x 3)) (pow y 3)))> |
#<alt (* (pow x 3) (pow y 3))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1 (pow y 3)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1 (pow y 3)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1 (pow y 3)))))> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (pow z 2)> |
#<alt (* x (sin y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))> |
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* x (sin y))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (sin y))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))> |
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))> |
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt 1> |
#<alt (+ 1 (* -1 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))> |
#<alt (pow (cos y) 2)> |
#<alt (pow (cos y) 2)> |
#<alt (pow (cos y) 2)> |
#<alt (pow (cos y) 2)> |
#<alt (pow (cos y) 2)> |
#<alt (pow (cos y) 2)> |
#<alt (pow (cos y) 2)> |
#<alt (pow (cos y) 2)> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))> |
#<alt (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))> |
#<alt (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))> |
#<alt (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))> |
#<alt (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))> |
#<alt (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))> |
#<alt (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))> |
#<alt (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (pow z 2)> |
#<alt (+ (* -1 (* x (* y z))) (pow z 2))> |
#<alt (+ (* y (+ (* -1 (* x z)) (* (pow x 2) y))) (pow z 2))> |
#<alt (+ (* y (+ (* -1 (* x z)) (* (pow x 2) y))) (pow z 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (pow x 2)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (pow z 2) (pow y 2)) (pow x 2))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (pow z 2) (pow y 2)) (pow x 2))))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (pow x 2)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (* x z)) y)) (pow x 2)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (* x z)) y)) (pow x 2)))> |
#<alt (pow z 2)> |
#<alt (+ (* -1 (* x (* y z))) (pow z 2))> |
#<alt (+ (* x (+ (* -1 (* y z)) (* x (pow y 2)))) (pow z 2))> |
#<alt (+ (* x (+ (* -1 (* y z)) (* x (pow y 2)))) (pow z 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (+ (* -1 (/ (* y z) x)) (pow y 2)))> |
#<alt (* (pow x 2) (+ (* -1 (/ (* y z) x)) (+ (/ (pow z 2) (pow x 2)) (pow y 2))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (* y z) x)) (+ (/ (pow z 2) (pow x 2)) (pow y 2))))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (+ (* -1 (/ (* y z) x)) (pow y 2)))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) x)) (* y z)) x)) (pow y 2)))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) x)) (* y z)) x)) (pow y 2)))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (+ (* -1 (* x (* y z))) (* (pow x 2) (pow y 2)))> |
#<alt (+ (* z (+ z (* -1 (* x y)))) (* (pow x 2) (pow y 2)))> |
#<alt (+ (* z (+ z (* -1 (* x y)))) (* (pow x 2) (pow y 2)))> |
#<alt (pow z 2)> |
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))> |
#<alt (* (pow z 2) (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z)))> |
#<alt (* (pow z 2) (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z)))> |
#<alt (pow z 2)> |
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))> |
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y)) z))))> |
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y)) z))))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
150 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | y | @ | -inf | (+ (* z (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (* x (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ (sin y) (pow (cos y) 2))))) |
| 4.0ms | y | @ | inf | (+ (* z (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (* x (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ (sin y) (pow (cos y) 2))))) |
| 2.0ms | z | @ | 0 | (+ (* z (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (* x (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ (sin y) (pow (cos y) 2))))) |
| 1.0ms | x | @ | 0 | (+ (* z (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (* x (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ (sin y) (pow (cos y) 2))))) |
| 1.0ms | z | @ | inf | (+ (* z (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (* x (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ (sin y) (pow (cos y) 2))))) |
| 1× | egg-herbie |
| 10 884× | lower-fma.f64 |
| 10 884× | lower-fma.f32 |
| 7 668× | lower-*.f64 |
| 7 668× | lower-*.f32 |
| 3 804× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 788 | 8220 |
| 1 | 2848 | 7789 |
| 0 | 9012 | 7208 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))))) |
(* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))))) |
(* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))))) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y)))))) |
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y)))))) |
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y)))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* y (- (* -1 z) (* -1/2 z)))))) |
(+ z (* y (+ x (* y (- (+ (* -1 z) (* y (- (* -7/6 x) (* -1 x)))) (* -1/2 z)))))) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))) |
(* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))) |
(* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))) |
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))))) |
(* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))))) |
(* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))))) |
(/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) |
(+ (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) |
(+ (* z (- (* z (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) |
(+ (* z (- (* z (- (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (/ (* z (* (cos y) (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3))))))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) |
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) |
(* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3))))))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (- (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow z 3) (cos y)))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3))))))) |
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) |
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y)))))) |
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z))))) |
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (sin y) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* z (cos y))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z))))) |
z |
(+ z (* x y)) |
(+ z (* y (- (* y (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x)))) |
(+ z (* y (- (* y (- (+ (* -1 z) (* -1 (* y (+ (* -1 (/ (* x (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) z)) (+ (* -1/2 x) (* 1/6 x)))))) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x)))) |
(/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y)))) |
(/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y)))) |
(/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y)))) |
(/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y)))) |
(/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y)))) |
(/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y)))) |
(/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y)))) |
(/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y)))) |
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) |
(+ (* x (- (* x (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) |
(+ (* x (- (* x (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (/ (* x (* (sin y) (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y)))))))) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) |
(* -1 (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y))) |
(* x (+ (* -1 (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2)))) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y))))) |
(* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y)))) (+ (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (* (pow x 2) (pow (sin y) 3)))))) |
(* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (+ (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y))) (/ (* z (* (cos y) (- (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3))))) (* (pow x 3) (sin y))))) (+ (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (* (pow x 2) (pow (sin y) 3)))))) |
(* -1 (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y))) |
(* -1 (* x (- (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y)))))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) x)) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) x)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y)))))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (cos y) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))))) (* x (sin y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) x)) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) x)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin 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))) |
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y)) |
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y)) |
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y)) |
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y)) |
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y)) |
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y)) |
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y)) |
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y)) |
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))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 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) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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))) |
(* 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) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* 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 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
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)))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos 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))) |
(cos y) |
(cos y) |
(cos y) |
(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) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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))) |
(* 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) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* 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 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* 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))))))) |
(* -1/6 (* 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 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)))) |
(+ 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))))))) |
(* 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)))) |
(* -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))))) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* 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 (* 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))) |
x |
(+ x (* -1/2 (* y z))) |
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))) |
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))) |
(* -1/6 (* 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 (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))) |
(* -1/2 (* 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))))) |
(* 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 (* 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))) |
(+ 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))))) |
(* -1/2 (* 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 (* 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) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(* -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))) |
(* -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))))) |
(* -1/2 z) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(* -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))) |
(* -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))))) |
(* -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))) |
(* -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)) |
(* -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)) |
(+ (* 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))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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))) |
(* 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) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* 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 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* x y) |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
z |
(* z (+ 1 (/ (* x y) z))) |
(* z (- (+ 1 (* -1 (/ (+ (* -1 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))) (pow z 2)))) (* -1 (/ (* x y) z)))) |
(* z (- (+ 1 (* -1 (/ (* x (* y (+ (* -1 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))))) (pow z 3)))) (+ (* -1 (/ (* x y) z)) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* (pow x 2) (pow y 2)) (pow z 2)))))) |
z |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (/ (* (pow x 2) (pow y 2)) z)) (* -1 (* x y))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (* y (+ (* -1 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))))) z)) (+ (* -1 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2)))) z)) (* -1 (* x y))) z)) 1))) |
z |
(+ z (* x y)) |
(+ z (* y (- (* -1 (* y (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)))) (* -1 x)))) |
(+ z (* y (- (* y (- (* -1 (/ (* x (* y (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)))) z)) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)))) (* -1 x)))) |
(* x y) |
(* y (+ x (/ z y))) |
(* y (- (+ x (* -1 (/ (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)) (pow y 2)))) (* -1 (/ z y)))) |
(* y (- (+ x (* -1 (/ (* z (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))) (* x (pow y 3))))) (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (* x (pow y 2)))) (/ (pow z 2) (* x (pow y 2))))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (pow z 2) (* x y))) (/ (pow z 2) (* x y))) (* -1 z)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))) (* x y))) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))) y)) (* -1 z)) y))))) |
z |
(+ z (* x y)) |
(+ z (* x (- (* -1 (* x (+ (* -1 (/ (pow y 2) z)) (/ (pow y 2) z)))) (* -1 y)))) |
(+ z (* x (- (* x (- (* -1 (/ (* x (* y (+ (* -1 (/ (pow y 2) z)) (/ (pow y 2) z)))) z)) (+ (* -1 (/ (pow y 2) z)) (/ (pow y 2) z)))) (* -1 y)))) |
(* x y) |
(* x (+ y (/ z x))) |
(* x (- (+ y (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y)) (pow x 2)))) (* -1 (/ z x)))) |
(* x (- (+ y (* -1 (/ (* z (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y))) (* (pow x 3) y)))) (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (/ (pow z 2) (* (pow x 2) y)))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 2) (* x y))) (/ (pow z 2) (* x y))) (* -1 z)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y))) (* x y))) (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y))) x)) (* -1 z)) x))))) |
(* (pow x 3) (pow y 3)) |
(+ (* (pow x 3) (pow y 3)) (pow z 3)) |
(+ (* (pow x 3) (pow y 3)) (pow z 3)) |
(+ (* (pow x 3) (pow y 3)) (pow z 3)) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) |
(* (pow z 3) (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) |
(* (pow z 3) (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) |
(pow z 3) |
(* -1 (* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1))) |
(* -1 (* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1))) |
(* -1 (* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1))) |
(pow z 3) |
(+ (* (pow x 3) (pow y 3)) (pow z 3)) |
(+ (* (pow x 3) (pow y 3)) (pow z 3)) |
(+ (* (pow x 3) (pow y 3)) (pow z 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow y 3) (+ (/ (pow z 3) (pow y 3)) (pow x 3))) |
(* (pow y 3) (+ (/ (pow z 3) (pow y 3)) (pow x 3))) |
(* (pow y 3) (+ (/ (pow z 3) (pow y 3)) (pow x 3))) |
(* (pow x 3) (pow y 3)) |
(* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* -1 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* -1 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* -1 (pow x 3))))) |
(pow z 3) |
(+ (* (pow x 3) (pow y 3)) (pow z 3)) |
(+ (* (pow x 3) (pow y 3)) (pow z 3)) |
(+ (* (pow x 3) (pow y 3)) (pow z 3)) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (+ (/ (pow z 3) (pow x 3)) (pow y 3))) |
(* (pow x 3) (+ (/ (pow z 3) (pow x 3)) (pow y 3))) |
(* (pow x 3) (+ (/ (pow z 3) (pow x 3)) (pow y 3))) |
(* (pow x 3) (pow y 3)) |
(* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1 (pow y 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1 (pow y 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1 (pow y 3))))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(* 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) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* 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 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* 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))))))) |
(+ (* 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))) |
(* 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) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* 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)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
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))) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)) |
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)) |
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)) |
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)) |
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)) |
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)) |
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)) |
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(pow z 2) |
(+ (* -1 (* x (* y z))) (pow z 2)) |
(+ (* y (+ (* -1 (* x z)) (* (pow x 2) y))) (pow z 2)) |
(+ (* y (+ (* -1 (* x z)) (* (pow x 2) y))) (pow z 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (pow x 2))) |
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (pow z 2) (pow y 2)) (pow x 2)))) |
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (pow z 2) (pow y 2)) (pow x 2)))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (pow x 2))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (* x z)) y)) (pow x 2))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (* x z)) y)) (pow x 2))) |
(pow z 2) |
(+ (* -1 (* x (* y z))) (pow z 2)) |
(+ (* x (+ (* -1 (* y z)) (* x (pow y 2)))) (pow z 2)) |
(+ (* x (+ (* -1 (* y z)) (* x (pow y 2)))) (pow z 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (* -1 (/ (* y z) x)) (pow y 2))) |
(* (pow x 2) (+ (* -1 (/ (* y z) x)) (+ (/ (pow z 2) (pow x 2)) (pow y 2)))) |
(* (pow x 2) (+ (* -1 (/ (* y z) x)) (+ (/ (pow z 2) (pow x 2)) (pow y 2)))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (* -1 (/ (* y z) x)) (pow y 2))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) x)) (* y z)) x)) (pow y 2))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) x)) (* y z)) x)) (pow y 2))) |
(* (pow x 2) (pow y 2)) |
(+ (* -1 (* x (* y z))) (* (pow x 2) (pow y 2))) |
(+ (* z (+ z (* -1 (* x y)))) (* (pow x 2) (pow y 2))) |
(+ (* z (+ z (* -1 (* x y)))) (* (pow x 2) (pow y 2))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* x y) z)))) |
(* (pow z 2) (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z))) |
(* (pow z 2) (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* x y) z)))) |
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y)) z)))) |
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y)) z)))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
| Outputs |
|---|
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
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(*.f64 x (sin.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 y (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (*.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #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 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow y 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 y y)) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #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 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) |
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)) |
(/.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)) |
(/.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)) |
(/.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)) |
(/.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)) |
(/.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)) |
(/.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)) |
(/.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)) |
(/.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(pow z 2) |
(*.f64 z z) |
(+ (* -1 (* x (* y z))) (pow z 2)) |
(*.f64 z (-.f64 z (*.f64 x y))) |
(+ (* y (+ (* -1 (* x z)) (* (pow x 2) y))) (pow z 2)) |
(fma.f64 x (*.f64 x (*.f64 y y)) (*.f64 z (-.f64 z (*.f64 x y)))) |
(+ (* y (+ (* -1 (* x z)) (* (pow x 2) y))) (pow z 2)) |
(fma.f64 x (*.f64 x (*.f64 y y)) (*.f64 z (-.f64 z (*.f64 x y)))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (pow x 2))) |
(*.f64 y (*.f64 y (fma.f64 x (/.f64 z (neg.f64 y)) (*.f64 x x)))) |
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (pow z 2) (pow y 2)) (pow x 2)))) |
(*.f64 (*.f64 y y) (-.f64 (fma.f64 x x (/.f64 (*.f64 z z) (*.f64 y y))) (/.f64 (*.f64 x z) y))) |
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (pow z 2) (pow y 2)) (pow x 2)))) |
(*.f64 (*.f64 y y) (-.f64 (fma.f64 x x (/.f64 (*.f64 z z) (*.f64 y y))) (/.f64 (*.f64 x z) y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (pow x 2))) |
(*.f64 y (*.f64 y (fma.f64 x (/.f64 z (neg.f64 y)) (*.f64 x x)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (* x z)) y)) (pow x 2))) |
(*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 x z) (/.f64 (*.f64 z z) y)) y))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (* x z)) y)) (pow x 2))) |
(*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 x z) (/.f64 (*.f64 z z) y)) y))) |
(pow z 2) |
(*.f64 z z) |
(+ (* -1 (* x (* y z))) (pow z 2)) |
(*.f64 z (-.f64 z (*.f64 x y))) |
(+ (* x (+ (* -1 (* y z)) (* x (pow y 2)))) (pow z 2)) |
(fma.f64 x (*.f64 x (*.f64 y y)) (*.f64 z (-.f64 z (*.f64 x y)))) |
(+ (* x (+ (* -1 (* y z)) (* x (pow y 2)))) (pow z 2)) |
(fma.f64 x (*.f64 x (*.f64 y y)) (*.f64 z (-.f64 z (*.f64 x y)))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (+ (* -1 (/ (* y z) x)) (pow y 2))) |
(*.f64 x (*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) (*.f64 y y)))) |
(* (pow x 2) (+ (* -1 (/ (* y z) x)) (+ (/ (pow z 2) (pow x 2)) (pow y 2)))) |
(*.f64 (*.f64 x x) (-.f64 (fma.f64 y y (/.f64 (*.f64 z z) (*.f64 x x))) (/.f64 (*.f64 y z) x))) |
(* (pow x 2) (+ (* -1 (/ (* y z) x)) (+ (/ (pow z 2) (pow x 2)) (pow y 2)))) |
(*.f64 (*.f64 x x) (-.f64 (fma.f64 y y (/.f64 (*.f64 z z) (*.f64 x x))) (/.f64 (*.f64 y z) x))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (+ (* -1 (/ (* y z) x)) (pow y 2))) |
(*.f64 x (*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) (*.f64 y y)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) x)) (* y z)) x)) (pow y 2))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 y y) (/.f64 (-.f64 (*.f64 y z) (/.f64 (*.f64 z z) x)) x))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) x)) (* y z)) x)) (pow y 2))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 y y) (/.f64 (-.f64 (*.f64 y z) (/.f64 (*.f64 z z) x)) x))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(+ (* -1 (* x (* y z))) (* (pow x 2) (pow y 2))) |
(*.f64 x (fma.f64 x (*.f64 y y) (*.f64 y (neg.f64 z)))) |
(+ (* z (+ z (* -1 (* x y)))) (* (pow x 2) (pow y 2))) |
(fma.f64 x (*.f64 x (*.f64 y y)) (*.f64 z (-.f64 z (*.f64 x y)))) |
(+ (* z (+ z (* -1 (* x y)))) (* (pow x 2) (pow y 2))) |
(fma.f64 x (*.f64 x (*.f64 y y)) (*.f64 z (-.f64 z (*.f64 x y)))) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (* -1 (/ (* x y) z)))) |
(*.f64 z (*.f64 z (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal 1 binary64)))) |
(* (pow z 2) (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z))) |
(*.f64 (*.f64 z z) (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 z z)) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal 1 binary64)))) |
(* (pow z 2) (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z))) |
(*.f64 (*.f64 z z) (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 z z)) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal 1 binary64)))) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (* -1 (/ (* x y) z)))) |
(*.f64 z (*.f64 z (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal 1 binary64)))) |
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y)) z)))) |
(*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 x x) (/.f64 (*.f64 y y) z))) z))) |
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y)) z)))) |
(*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 x x) (/.f64 (*.f64 y y) z))) z))) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
| 1× | batch-egg-rewrite |
| 5 212× | lower-*.f32 |
| 5 182× | lower-*.f64 |
| 4 664× | lower-fma.f32 |
| 4 652× | lower-fma.f64 |
| 2 658× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 377 |
| 0 | 108 | 370 |
| 1 | 424 | 314 |
| 2 | 3239 | 308 |
| 0 | 8298 | 300 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) |
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(*.f64 z #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) y z)) |
(fma.f64 (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) y z) |
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) |
(fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))))) |
(/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y))))) |
(fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) |
(*.f64 z z) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 x (sin.f64 y))) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(*.f64 x #s(literal -1/6 binary64)) |
#s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))) |
(*.f64 x (*.f64 y y)) |
| Outputs |
|---|
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (tan.f64 y) (cos.f64 y)) x)) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
(+.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (tan.f64 y) (cos.f64 y)) x))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (tan.f64 y) (cos.f64 y)) x)))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (tan.f64 y) (cos.f64 y)) x)) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (tan.f64 y) (cos.f64 y)) x))))) |
(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (tan.f64 y) (cos.f64 y)) x))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (tan.f64 y) (cos.f64 y)) x))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (tan.f64 y) (cos.f64 y)) x) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (tan.f64 y) (cos.f64 y)) x))) |
(fma.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (tan.f64 y) (cos.f64 y))) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
(fma.f64 (/.f64 (tan.f64 y) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (tan.f64 y) (cos.f64 y))) x (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (/.f64 (tan.f64 y) (cos.f64 y)) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (tan.f64 y) (cos.f64 y)) x))) |
(fma.f64 (*.f64 x (/.f64 (tan.f64 y) (cos.f64 y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (tan.f64 y) (cos.f64 y)) x)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (tan.f64 y) (cos.f64 y)) x)) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) (pow.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (tan.f64 y) (cos.f64 y)) x)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (tan.f64 y) (cos.f64 y)) x))) (-.f64 (pow.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (tan.f64 y) (cos.f64 y)) x)) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (tan.f64 y) (cos.f64 y)) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (tan.f64 y) (cos.f64 y)) x)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (tan.f64 y) (cos.f64 y)) x)) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) (pow.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (tan.f64 y) (cos.f64 y)) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (tan.f64 y) (cos.f64 y)) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (tan.f64 y) (cos.f64 y)) x)) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (tan.f64 y) (cos.f64 y)) x)) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (tan.f64 y) (cos.f64 y)) x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (tan.f64 y) (cos.f64 y)) x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (tan.f64 y) (cos.f64 y)) x)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (tan.f64 y) (cos.f64 y)) x)) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) (pow.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (tan.f64 y) (cos.f64 y)) x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (tan.f64 y) (cos.f64 y)) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (tan.f64 y) (cos.f64 y)) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (tan.f64 y) (cos.f64 y)) x)) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (/.f64 (cos.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (sin.f64 y)) z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 (cos.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (/.f64 (cos.f64 y) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (sin.f64 y)) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 (cos.f64 y) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (cos.f64 y) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (sin.f64 y)) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (sin.f64 y)) (cos.f64 y))) |
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(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (tan.f64 y)) |
(*.f64 (sin.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (tan.f64 y) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(*.f64 x #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 y (*.f64 x (*.f64 y x)))) |
(*.f64 y (*.f64 y x)) |
(*.f64 x (*.f64 y y)) |
(*.f64 (*.f64 y x) y) |
(*.f64 (*.f64 y y) x) |
Compiled 31 150 to 1 984 computations (93.6% saved)
62 alts after pruning (53 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 002 | 22 | 1 024 |
| Fresh | 18 | 31 | 49 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 5 | 6 |
| Total | 1 022 | 62 | 1 084 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
| 76.0% | (fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 46.1% | (/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) | |
| 29.4% | (/.f64 #s(approx (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) | |
| 59.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (*.f64 z (cos.f64 y))))) | |
| 40.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (*.f64 x (sin.f64 y))))) | |
| 37.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z))) | |
| 32.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* (sin y) x))) (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y (/.f64 x (*.f64 z z)))))) | |
| 50.3% | (+.f64 (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) | |
| 50.3% | (+.f64 (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) | |
| 50.2% | (+.f64 (*.f64 x #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) | |
| 99.1% | #s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (tan.f64 y) (cos.f64 y)) x)))) | |
| 59.2% | #s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) | |
| 26.8% | #s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))) | |
| 59.2% | #s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))) | |
| 26.4% | #s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 y)))) | |
| 26.8% | #s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (*.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))) | |
| 50.6% | #s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (+ (* z (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (* x (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ (sin y) (pow (cos y) 2))))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))) | |
| 92.4% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))) | |
| 89.5% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))) | |
| ✓ | 40.4% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 x (sin.f64 y))) |
| 16.6% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 x #s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y)))) | |
| 16.5% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 x #s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y)))) | |
| 16.5% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x)))) | |
| ✓ | 50.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) y z)) |
| 50.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 y #s(approx (+ (* y (* x -1/6)) (* z -1/2)) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) y z)) | |
| 21.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (*.f64 y (*.f64 y (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z))))) | |
| 36.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* y (+ (* y (* x -1/6)) (* z -1/2))) x) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) y z)) | |
| 35.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* y (+ (* y (* x -1/6)) (* z -1/2))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)))) y z)) | |
| 45.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y #s(approx (+ (* z -1/2) (* (* y x) -1/6)) (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (*.f64 y #s(literal -1/6 binary64))))) x) z)) | |
| ✓ | 51.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 19.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 (*.f64 y (*.f64 y x)) x))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) | |
| 5.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (fma.f64 z (neg.f64 y) (*.f64 x (*.f64 y y))))))) | |
| 9.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 (*.f64 y x) y))))) | |
| 5.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) (*.f64 y y))))))) | |
| ✓ | 6.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))))) |
| 14.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))))))) | |
| 27.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x)))) | |
| 15.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 y x)))) (fma.f64 y x z)) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) | |
| 29.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z))) | |
| 1.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (*.f64 (*.f64 z (*.f64 z z)) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))))) | |
| 5.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (/.f64 (*.f64 z z) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) | |
| 3.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 y (*.f64 y y))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))))) | |
| 2.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (*.f64 z (*.f64 z z))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))))) | |
| 21.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 y x))) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 z (*.f64 y x))))) | |
| 51.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (+.f64 (*.f64 y x) z)) | |
| 29.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) | |
| ✓ | 59.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
| 36.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 36.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 36.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| ✓ | 38.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
| 43.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (+ (* y (* x (* y x))) (* z (- z (* y x))))) (fma.f64 (*.f64 x z) (/.f64 y z) z))) | |
| 49.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (+ (* y (* x (* y x))) (* z (- z (* y x))))) (*.f64 z (fma.f64 x (*.f64 y #s(literal 0 binary64)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))))) | |
| 3.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* y (+ (* y (* x -1/6)) (* z -1/2))) x) y) z) (*.f64 x (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))) | |
| 3.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x)) z) (*.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) (*.f64 y y)))) | |
| 16.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x)) z) (*.f64 y (fma.f64 (*.f64 x y) (*.f64 y #s(literal -1/6 binary64)) x)))) | |
| 44.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 z (fma.f64 y (/.f64 x z) #s(literal 1 binary64))))) | |
| ✓ | 17.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| 36.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) | |
| 36.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))) |
Compiled 3 223 to 1 001 computations (68.9% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (+.f64 (*.f64 y x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* y (+ (* y (* x -1/6)) (* z -1/2))) x) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (+ (* z (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (* x (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ (sin y) (pow (cos y) 2))))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x)) z) (*.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) (*.f64 y y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* y (+ (* y (* x -1/6)) (* z -1/2))) x) y) z) (*.f64 x (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x)) z) (*.f64 y (fma.f64 (*.f64 x y) (*.f64 y #s(literal -1/6 binary64)) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* y (+ (* y (* x -1/6)) (* z -1/2))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 z (fma.f64 y (/.f64 x z) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (+ (* y (* x (* y x))) (* z (- z (* y x))))) (fma.f64 (*.f64 x z) (/.f64 y z) z))) |
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#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) |
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (*.f64 z (fma.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))))) |
(fma.f64 x (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(fma.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(fma.f64 (*.f64 x (*.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
4 calls:
| 58.0ms | y |
| 55.0ms | z |
| 55.0ms | x |
| 27.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (+.f64 (*.f64 y x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* y (+ (* y (* x -1/6)) (* z -1/2))) x) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (+ (* z (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (* x (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ (sin y) (pow (cos y) 2))))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x)) z) (*.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) (*.f64 y y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* y (+ (* y (* x -1/6)) (* z -1/2))) x) y) z) (*.f64 x (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x)) z) (*.f64 y (fma.f64 (*.f64 x y) (*.f64 y #s(literal -1/6 binary64)) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* y (+ (* y (* x -1/6)) (* z -1/2))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 z (fma.f64 y (/.f64 x z) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (+ (* y (* x (* y x))) (* z (- z (* y x))))) (fma.f64 (*.f64 x z) (/.f64 y z) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y #s(approx (+ (* z -1/2) (* (* y x) -1/6)) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 y #s(approx (+ (* y (* x -1/6)) (* z -1/2)) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) y z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x)) z) (*.f64 (fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) y z)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 x #s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (+ (* y (* x (* y x))) (* z (- z (* y x))))) (*.f64 z (fma.f64 x (*.f64 y #s(literal 0 binary64)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (*.f64 z (*.f64 z z))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x)) z) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y #s(approx (+ (* z -1/2) (* (* y x) -1/6)) (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (*.f64 y #s(literal -1/6 binary64))))) x) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 x #s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* (sin y) x))) (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y (/.f64 x (*.f64 z z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))))) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 y (*.f64 y y))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 y x))) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 z (*.f64 y x))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 (*.f64 y x) y))))) |
(+.f64 (*.f64 x #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (*.f64 y (*.f64 y (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (fma.f64 z (neg.f64 y) (*.f64 x (*.f64 y y))))))) |
(+.f64 (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (fma.f64 (-.f64 z (*.f64 y x)) z (*.f64 y (*.f64 y (*.f64 x x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 (*.f64 y (*.f64 y x)) x))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 y x)))) (fma.f64 y x z)) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) (*.f64 y y))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 (*.f64 y y) (fma.f64 x x (/.f64 (*.f64 z (neg.f64 x)) y)))))) |
(+.f64 (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (*.f64 (*.f64 z (*.f64 z z)) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (/.f64 (*.f64 z z) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (*.f64 (*.f64 z (*.f64 z z)) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 x (sin.f64 y))) |
(fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (*.f64 x (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (*.f64 z (cos.f64 y))))) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) |
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
4 calls:
| 52.0ms | x |
| 30.0ms | z |
| 20.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 20.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (+.f64 (*.f64 y x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* y (+ (* y (* x -1/6)) (* z -1/2))) x) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (+ (* z (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (* x (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ (sin y) (pow (cos y) 2))))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x)) z) (*.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) (*.f64 y y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* y (+ (* y (* x -1/6)) (* z -1/2))) x) y) z) (*.f64 x (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x)) z) (*.f64 y (fma.f64 (*.f64 x y) (*.f64 y #s(literal -1/6 binary64)) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* y (+ (* y (* x -1/6)) (* z -1/2))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 z (fma.f64 y (/.f64 x z) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (+ (* y (* x (* y x))) (* z (- z (* y x))))) (fma.f64 (*.f64 x z) (/.f64 y z) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y #s(approx (+ (* z -1/2) (* (* y x) -1/6)) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 y #s(approx (+ (* y (* x -1/6)) (* z -1/2)) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) y z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x)) z) (*.f64 (fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) y z)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 x #s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (+ (* y (* x (* y x))) (* z (- z (* y x))))) (*.f64 z (fma.f64 x (*.f64 y #s(literal 0 binary64)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (*.f64 z (*.f64 z z))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x)) z) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y #s(approx (+ (* z -1/2) (* (* y x) -1/6)) (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (*.f64 y #s(literal -1/6 binary64))))) x) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 x #s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* (sin y) x))) (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y (/.f64 x (*.f64 z z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))))) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 y (*.f64 y y))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 y x))) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 z (*.f64 y x))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 (*.f64 y x) y))))) |
(+.f64 (*.f64 x #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (*.f64 y (*.f64 y (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (fma.f64 z (neg.f64 y) (*.f64 x (*.f64 y y))))))) |
(+.f64 (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (fma.f64 (-.f64 z (*.f64 y x)) z (*.f64 y (*.f64 y (*.f64 x x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 (*.f64 y (*.f64 y x)) x))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 y x)))) (fma.f64 y x z)) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) (*.f64 y y))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 (*.f64 y y) (fma.f64 x x (/.f64 (*.f64 z (neg.f64 x)) y)))))) |
(+.f64 (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (*.f64 (*.f64 z (*.f64 z z)) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (/.f64 (*.f64 z z) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (*.f64 (*.f64 z (*.f64 z z)) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 x (sin.f64 y))) |
(fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (*.f64 x (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (*.f64 z (cos.f64 y))))) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
4 calls:
| 49.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 41.0ms | x |
| 40.0ms | z |
| 20.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.0% | 3 | x |
| 83.2% | 2 | y |
| 87.9% | 3 | z |
| 78.1% | 2 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (+.f64 (*.f64 y x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* y (+ (* y (* x -1/6)) (* z -1/2))) x) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (+ (* z (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (* x (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ (sin y) (pow (cos y) 2))))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x)) z) (*.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) (*.f64 y y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* y (+ (* y (* x -1/6)) (* z -1/2))) x) y) z) (*.f64 x (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x)) z) (*.f64 y (fma.f64 (*.f64 x y) (*.f64 y #s(literal -1/6 binary64)) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* y (+ (* y (* x -1/6)) (* z -1/2))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 z (fma.f64 y (/.f64 x z) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (+ (* y (* x (* y x))) (* z (- z (* y x))))) (fma.f64 (*.f64 x z) (/.f64 y z) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y #s(approx (+ (* z -1/2) (* (* y x) -1/6)) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 y #s(approx (+ (* y (* x -1/6)) (* z -1/2)) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) y z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x)) z) (*.f64 (fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) y z)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 x #s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (+ (* y (* x (* y x))) (* z (- z (* y x))))) (*.f64 z (fma.f64 x (*.f64 y #s(literal 0 binary64)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (*.f64 z (*.f64 z z))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x)) z) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y #s(approx (+ (* z -1/2) (* (* y x) -1/6)) (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (*.f64 y #s(literal -1/6 binary64))))) x) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 x #s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* (sin y) x))) (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y (/.f64 x (*.f64 z z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))))) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 y (*.f64 y y))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 y x))) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 z (*.f64 y x))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 (*.f64 y x) y))))) |
(+.f64 (*.f64 x #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (*.f64 y (*.f64 y (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (fma.f64 z (neg.f64 y) (*.f64 x (*.f64 y y))))))) |
(+.f64 (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (fma.f64 (-.f64 z (*.f64 y x)) z (*.f64 y (*.f64 y (*.f64 x x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 (*.f64 y (*.f64 y x)) x))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 y x)))) (fma.f64 y x z)) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) (*.f64 y y))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 (*.f64 y y) (fma.f64 x x (/.f64 (*.f64 z (neg.f64 x)) y)))))) |
(+.f64 (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (*.f64 (*.f64 z (*.f64 z z)) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (/.f64 (*.f64 z z) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (*.f64 (*.f64 z (*.f64 z z)) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 x (sin.f64 y))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) |
(+.f64 (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
3 calls:
| 42.0ms | z |
| 41.0ms | y |
| 18.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.2% | 4 | y |
| 73.9% | 3 | x |
| 77.2% | 3 | z |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (+.f64 (*.f64 y x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* y (+ (* y (* x -1/6)) (* z -1/2))) x) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (+ (* z (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (* x (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ (sin y) (pow (cos y) 2))))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x)) z) (*.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) (*.f64 y y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* y (+ (* y (* x -1/6)) (* z -1/2))) x) y) z) (*.f64 x (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x)) z) (*.f64 y (fma.f64 (*.f64 x y) (*.f64 y #s(literal -1/6 binary64)) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* y (+ (* y (* x -1/6)) (* z -1/2))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 z (fma.f64 y (/.f64 x z) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (+ (* y (* x (* y x))) (* z (- z (* y x))))) (fma.f64 (*.f64 x z) (/.f64 y z) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y #s(approx (+ (* z -1/2) (* (* y x) -1/6)) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 y #s(approx (+ (* y (* x -1/6)) (* z -1/2)) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) y z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x)) z) (*.f64 (fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) y z)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 x #s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (+ (* y (* x (* y x))) (* z (- z (* y x))))) (*.f64 z (fma.f64 x (*.f64 y #s(literal 0 binary64)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (*.f64 z (*.f64 z z))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x)) z) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y #s(approx (+ (* z -1/2) (* (* y x) -1/6)) (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (*.f64 y #s(literal -1/6 binary64))))) x) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 x #s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* (sin y) x))) (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y (/.f64 x (*.f64 z z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))))) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 y (*.f64 y y))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 y x))) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 z (*.f64 y x))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 (*.f64 y x) y))))) |
(+.f64 (*.f64 x #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (*.f64 y (*.f64 y (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (fma.f64 z (neg.f64 y) (*.f64 x (*.f64 y y))))))) |
(+.f64 (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (fma.f64 (-.f64 z (*.f64 y x)) z (*.f64 y (*.f64 y (*.f64 x x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 (*.f64 y (*.f64 y x)) x))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 y x)))) (fma.f64 y x z)) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) (*.f64 y y))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 (*.f64 y y) (fma.f64 x x (/.f64 (*.f64 z (neg.f64 x)) y)))))) |
(+.f64 (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (*.f64 (*.f64 z (*.f64 z z)) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (/.f64 (*.f64 z z) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (*.f64 (*.f64 z (*.f64 z z)) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) |
(+.f64 (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) |
3 calls:
| 51.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 17.0ms | z |
| 17.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.0% | 3 | z |
| 51.5% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 74.8% | 3 | y |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (+.f64 (*.f64 y x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* y (+ (* y (* x -1/6)) (* z -1/2))) x) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (+ (* z (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (* x (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ (sin y) (pow (cos y) 2))))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x)) z) (*.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) (*.f64 y y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* y (+ (* y (* x -1/6)) (* z -1/2))) x) y) z) (*.f64 x (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x)) z) (*.f64 y (fma.f64 (*.f64 x y) (*.f64 y #s(literal -1/6 binary64)) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* y (+ (* y (* x -1/6)) (* z -1/2))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 z (fma.f64 y (/.f64 x z) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (+ (* y (* x (* y x))) (* z (- z (* y x))))) (fma.f64 (*.f64 x z) (/.f64 y z) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y #s(approx (+ (* z -1/2) (* (* y x) -1/6)) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 y #s(approx (+ (* y (* x -1/6)) (* z -1/2)) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) y z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x)) z) (*.f64 (fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x) y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) y z)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 x #s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (+ (* y (* x (* y x))) (* z (- z (* y x))))) (*.f64 z (fma.f64 x (*.f64 y #s(literal 0 binary64)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (*.f64 z (*.f64 z z))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* y x) -1/6))) x)) z) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) #s(approx (* x (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y #s(approx (+ (* z -1/2) (* (* y x) -1/6)) (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (*.f64 y #s(literal -1/6 binary64))))) x) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* (sin y) x)) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x)))) (*.f64 x #s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* (sin y) x))) (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y (/.f64 x (*.f64 z z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))))) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 y (*.f64 y y))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 y x))) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 z (*.f64 y x))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 (*.f64 y x) y))))) |
(+.f64 (*.f64 x #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (*.f64 y (*.f64 y (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (fma.f64 z (neg.f64 y) (*.f64 x (*.f64 y y))))))) |
(+.f64 (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (fma.f64 (-.f64 z (*.f64 y x)) z (*.f64 y (*.f64 y (*.f64 x x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 (*.f64 y (*.f64 y x)) x))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 y x)))) (fma.f64 y x z)) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) (*.f64 y y))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 (*.f64 y y) (fma.f64 x x (/.f64 (*.f64 z (neg.f64 x)) y)))))) |
(+.f64 (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (*.f64 (*.f64 z (*.f64 z z)) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)))) #s(approx (+ (* y (* x (* y x))) (* z (- z (* y x)))) (*.f64 x (*.f64 x (*.f64 y y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (/.f64 (*.f64 z z) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* z (* z z)) (* (* y x) (* y (* x (* y x))))) (*.f64 (*.f64 z (*.f64 z z)) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
3 calls:
| 111.0ms | x |
| 17.0ms | y |
| 17.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.5% | 1 | z |
| 51.5% | 1 | x |
| 51.5% | 1 | y |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
4 calls:
| 2.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.9% | 3 | x |
| 38.0% | 1 | y |
| 38.0% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 43.8% | 3 | z |
Compiled 24 to 17 computations (29.2% 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 x y))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
4 calls:
| 1.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 17.0% | 1 | y |
| 17.0% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 17.0% | 1 | x |
| 17.0% | 1 | z |
Compiled 24 to 17 computations (29.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 1.9153007126272786e-45 | 9.314797541394782e-30 |
| 106.0ms | -1.4434670722389509e+107 | -4.1401462377967977e+89 |
| 28.0ms | 320× | 0 | valid |
Compiled 435 to 294 computations (32.4% saved)
ival-sin: 8.0ms (39.2% of total)ival-cos: 6.0ms (29.4% of total)ival-mult: 4.0ms (19.6% of total)ival-add: 1.0ms (4.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 2.5499684890557816e+62 | 1.0330886158277083e+66 |
| 14.0ms | 0.27739869641040776 | 2834.176686299195 |
| 37.0ms | -168083714694478500.0 | -0.014215202539804265 |
| 69.0ms | 416× | 0 | valid |
Compiled 1 131 to 632 computations (44.1% saved)
ival-sin: 43.0ms (73.9% of total)ival-cos: 8.0ms (13.8% of total)ival-mult: 6.0ms (10.3% of total)ival-add: 2.0ms (3.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.27739869641040776 | 2834.176686299195 |
| 1.0ms | -168083714694478500.0 | -0.014215202539804265 |
Compiled 987 to 536 computations (45.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 3.0270433205981654e-145 | 7.28002376794211e-139 |
| 33.0ms | -5.029704144802138e-109 | -4.272997773785618e-115 |
| 40.0ms | 288× | 0 | valid |
Compiled 339 to 212 computations (37.5% saved)
ival-cos: 6.0ms (34.8% of total)ival-sin: 6.0ms (34.8% of total)ival-mult: 4.0ms (23.2% of total)ival-add: 1.0ms (5.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 18× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 338 |
| 1 | 85 | 338 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
(if (<=.f64 z #s(literal -259999999999999996364076119634662408499533395368501689564687160292885723069180268625533078811443200 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 7992587079153375/1427247692705959881058285969449495136382746624 binary64)) (fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
(if (<=.f64 y #s(literal -3/4 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 1080863910568919/2251799813685248 binary64)) (+.f64 (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) (if (<=.f64 y #s(literal 3100000000000000051478282555999601122097051073767861138441109504 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))) |
(if (<=.f64 y #s(literal -3/4 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 1080863910568919/2251799813685248 binary64)) (+.f64 (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(if (<=.f64 z #s(literal -4146143036252439/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) (if (<=.f64 z #s(literal 7798410141908373/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(if (<=.f64 z #s(literal -259999999999999996364076119634662408499533395368501689564687160292885723069180268625533078811443200 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 7992587079153375/1427247692705959881058285969449495136382746624 binary64)) (fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
(if (<=.f64 y #s(literal -3/4 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 1080863910568919/2251799813685248 binary64)) (+.f64 (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) (if (<=.f64 y #s(literal 3100000000000000051478282555999601122097051073767861138441109504 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))) |
(if (<=.f64 y #s(literal -3/4 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 1080863910568919/2251799813685248 binary64)) (+.f64 (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) (if (<=.f64 y #s(literal 3100000000000000051478282555999601122097051073767861138441109504 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))) |
(if (<=.f64 y #s(literal -3/4 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 1080863910568919/2251799813685248 binary64)) (+.f64 (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))))) |
(if (<=.f64 y #s(literal -3/4 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 1080863910568919/2251799813685248 binary64)) (+.f64 (*.f64 x #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(if (<=.f64 z #s(literal -4146143036252439/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) (if (<=.f64 z #s(literal 7798410141908373/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))))) |
(if (<=.f64 z #s(literal -4146143036252439/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) (if (<=.f64 z #s(literal 7798410141908373/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))))) |
#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))) |
| 12 858× | lower-fma.f64 |
| 12 858× | lower-fma.f32 |
| 11 480× | lower-fma.f64 |
| 11 480× | lower-fma.f32 |
| 8 624× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 489 | 5955 |
| 1 | 1659 | 5864 |
| 2 | 5830 | 5831 |
| 0 | 8272 | 5316 |
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 29 | 21 |
| 2 | 185 | 21 |
| 3 | 1836 | 21 |
| 0 | 8391 | 20 |
| 0 | 109 | 682 |
| 1 | 344 | 678 |
| 2 | 991 | 668 |
| 3 | 2652 | 662 |
| 4 | 4669 | 662 |
| 5 | 6964 | 662 |
| 0 | 8196 | 606 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 356 to 150 computations (57.9% saved)
Compiled 434 to 128 computations (70.5% saved)
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