
Time bar (total: 12.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 1.1s | 8 256× | 0 | valid |
ival-cos: 270.0ms (39.7% of total)ival-sin: 247.0ms (36.3% of total)ival-mult: 117.0ms (17.2% of total)ival-add: 37.0ms (5.4% of total)ival-true: 6.0ms (0.9% of total)ival-assert: 3.0ms (0.4% 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 |
| 48.0ms | 512× | 0 | valid |
Compiled 76 to 36 computations (52.6% saved)
ival-cos: 11.0ms (34.7% of total)ival-sin: 11.0ms (34.7% of total)ival-mult: 7.0ms (22.1% of total)ival-add: 2.0ms (6.3% 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 x (sin.f64 y)) |
| ✓ | accuracy | 99.8% | (*.f64 z (cos.f64 y)) |
| 24.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-cos: 6.0ms (36.5% of total)ival-sin: 6.0ms (36.5% of total)ival-mult: 3.0ms (18.2% of total)ival-add: 1.0ms (6.1% 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 | @ | -inf | (+ (* x (sin y)) (* z (cos y))) |
| 1.0ms | x | @ | 0 | (+ (* x (sin y)) (* z (cos y))) |
| 1.0ms | z | @ | inf | (+ (* x (sin y)) (* z (cos y))) |
| 1.0ms | y | @ | -inf | (+ (* x (sin y)) (* z (cos y))) |
| 1.0ms | z | @ | 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)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 266 | 16 | 282 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 267 | 16 | 283 |
| Status | Accuracy | Program |
|---|---|---|
| 56.7% | (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))))))) | |
| 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))) |
| ▶ | 29.1% | (/.f64 (-.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 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 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) |
| 44.8% | (/.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))))) |
| 55.5% | (+.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))))) | |
| 53.9% | (+.f64 #s(approx (* x (sin y)) (*.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))) (*.f64 z (cos.f64 y))) | |
| 15.4% | (*.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))))) | |
| 44.7% | (*.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))))))) | |
| 29.1% | (*.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)))) | |
| 51.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) | |
| 51.5% | #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)) | |
| ▶ | 52.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| ▶ | 63.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
| 38.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) |
Compiled 920 to 454 computations (50.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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 | 14080 | (-.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 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))))))) |
| ✓ | cost-diff | 20416 | (/.f64 (-.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 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 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
| ✓ | 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 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 x (sin.f64 y)) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
| 10 222× | lower-fma.f32 |
| 10 216× | lower-fma.f64 |
| 4 942× | lower-*.f32 |
| 4 924× | lower-*.f64 |
| 2 056× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 346 |
| 0 | 63 | 340 |
| 1 | 114 | 320 |
| 2 | 313 | 310 |
| 3 | 1468 | 308 |
| 4 | 5247 | 308 |
| 0 | 8415 | 296 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
(cos.f64 y) |
y |
z |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(fma.f64 y x z) |
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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
z |
(cos.f64 y) |
y |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
(/.f64 (-.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 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 (*.f64 z (cos.f64 y)) (*.f64 x (sin.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 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (*.f64 (-.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))))))) |
(*.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 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 z (cos.f64 y)) (*.f64 x (sin.f64 y))) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
(*.f64 (-.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)))))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(*.f64 x x) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(pow.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
(cos.f64 y) |
y |
z |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(fma.f64 y x z) |
y |
x |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
z |
(cos.f64 y) |
y |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
z |
(cos.f64 y) |
y |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
(/.f64 (-.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 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 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))))) (fma.f64 (sin.f64 y) (neg.f64 x) (*.f64 (cos.f64 y) z))) |
(-.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 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))))))) |
(*.f64 (fma.f64 (sin.f64 y) (neg.f64 x) (*.f64 (cos.f64 y) z)) (fma.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))))) |
(*.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 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (fma.f64 (sin.f64 y) (neg.f64 x) (*.f64 (cos.f64 y) z)))) |
(*.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 z (cos.f64 y)) (*.f64 x (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 x) (*.f64 (cos.f64 y) z)) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
(*.f64 (-.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)))))) |
(*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (sin.f64 y) (neg.f64 x) (*.f64 (cos.f64 y) z)) (*.f64 x x))) |
(*.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 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(*.f64 x x) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(pow.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (sin.f64 y) (neg.f64 x) (*.f64 (cos.f64 y) z)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 91.4% | (-.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 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))))))) |
| ✓ | accuracy | 91.1% | (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
| ✓ | accuracy | 77.3% | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| ✓ | accuracy | 35.5% | (/.f64 (-.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 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 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
| ✓ | accuracy | 99.8% | (*.f64 x (sin.f64 y)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 z (cos.f64 y)) |
| ✓ | accuracy | 63.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
| ✓ | accuracy | 100.0% | (fma.f64 y x z) |
| ✓ | accuracy | 52.9% | #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 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
| ✓ | accuracy | 99.8% | (*.f64 x (sin.f64 y)) |
| 79.0ms | 48× | 2 | valid |
| 56.0ms | 78× | 1 | valid |
| 45.0ms | 130× | 0 | valid |
Compiled 343 to 35 computations (89.8% saved)
ival-sin: 47.0ms (31.4% of total)ival-cos: 34.0ms (22.7% of total)ival-mult: 30.0ms (20% of total)adjust: 13.0ms (8.7% of total)ival-add: 9.0ms (6% of total)ival-div: 7.0ms (4.7% of total)ival-sub: 5.0ms (3.3% of total)ival-pow2: 4.0ms (2.7% 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 x (sin.f64 y)))> |
#<alt (cos.f64 y)> |
#<alt (*.f64 x (sin.f64 y))> |
#<alt (sin.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 z (cos.f64 y))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))> |
#<alt (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))> |
#<alt (/.f64 (-.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 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 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))> |
#<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 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (*.f64 (-.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)))))))> |
#<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 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 (* 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 (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 (+ (* 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 (* 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 (* 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 (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))> |
#<alt (+ (* z (- (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))) (* -2 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))> |
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#<alt (pow z 3)> |
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#<alt (+ (* y (+ (* -1 (* x (pow z 2))) (* y (- (+ (* y (- (* (pow z 2) (+ x (* 1/6 x))) (* -1 (pow x 3)))) (* (pow z 2) (+ (* -1 z) (* -1/2 z)))) (* (pow x 2) z))))) (pow z 3))> |
#<alt (- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin 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)))) (- (* z (cos y)) (* x (sin 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)))) (- (* z (cos y)) (* x (sin 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)))) (- (* z (cos y)) (* x (sin 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))))) (- (* z (cos y)) (* x (sin 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))))) (- (* z (cos y)) (* x (sin 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))))) (- (* z (cos y)) (* x (sin 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))))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* z (cos y)) (* x (sin y))))))> |
#<alt (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (+ (* -1 (* x (* (pow z 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))))) (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))))> |
#<alt (+ (* x (+ (* -1 (* x (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))))) (* -1 (* (pow z 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))))) (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))))> |
#<alt (+ (* x (+ (* -1 (* (pow z 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* x (- (* x (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))))))) (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))))> |
#<alt (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (* (pow x 3) (- (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) x)) (* -1 (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))))> |
#<alt (* (pow x 3) (- (* -1 (/ (* (pow z 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow x 2))) (+ (* -1 (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) x))))> |
#<alt (* (pow x 3) (- (+ (* -1 (/ (* (pow z 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow x 2))) (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow x 3))) (+ (* -1 (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) x))))> |
#<alt (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (* -1 (* (pow x 3) (- (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) x) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (* (pow z 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) x)) (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))))) x)) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) x)) (* (pow z 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) x)) (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))))) x)) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 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 (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 (* (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))))))> |
111 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | y | @ | inf | (/ (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) |
| 4.0ms | z | @ | inf | (+ (* y x) z) |
| 4.0ms | y | @ | -inf | (/ (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) |
| 2.0ms | z | @ | inf | (/ (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) |
| 2.0ms | x | @ | inf | (/ (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) |
| 1× | egg-herbie |
| 9 980× | lower-fma.f64 |
| 9 980× | lower-fma.f32 |
| 7 616× | lower-*.f64 |
| 7 616× | lower-*.f32 |
| 4 192× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 833 | 8553 |
| 1 | 2926 | 7980 |
| 0 | 8800 | 7557 |
| 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 (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)) |
(+ (* 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))) |
(* 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)) |
(* 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)) |
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(/ (- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y)))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) |
(/ (- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y)))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) |
(/ (- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y)))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) |
(/ (- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y)))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) |
(/ (- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* z (cos y)) (* x (sin y)))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) |
(/ (- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* z (cos y)) (* x (sin y)))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) |
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(/ (- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* z (cos y)) (* x (sin y)))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) |
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(/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) |
(* -1 (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -2 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) x))))) |
(* -1 (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -1 (/ (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) (* 2 (/ (* z (* (cos y) (- (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -2 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))))) (sin y))))) x))) (* -2 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) x))))) |
(* -1 (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)) (+ (* 2 (/ (* 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 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) (* 2 (/ (* z (* (cos y) (- (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -2 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))))) (sin y))))))) (sin y))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -2 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))))) (pow (sin y) 2)))) x)) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) (* 2 (/ (* z (* (cos y) (- (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -2 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))))) (sin y))))) x))) (* -2 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) x))))) |
(* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) |
(- (* -1 (* (pow x 2) (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))))) (* -1 (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))))) |
(- (* z (- (* -1 (* x (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))))) (* (pow x 2) (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))))) (* -1 (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))))) |
(- (* z (- (* z (+ (* -1 (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))))) (* (pow x 2) (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))))) (* -1 (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))))) |
(* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(* (pow z 3) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) z)) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) |
(* (pow z 3) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) z)) (+ (* -1 (/ (* (pow x 2) (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow z 2))) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))))) |
(* (pow z 3) (- (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) z)) (+ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow z 3)))) (/ (* (pow x 2) (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow z 2)))) |
(* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(* -1 (* (pow z 3) (+ (* -1 (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) z)))) |
(* -1 (* (pow z 3) (+ (* -1 (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* -1 (/ (+ (* -1 (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (* (pow x 2) (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) z))) z))))) |
(* -1 (* (pow z 3) (+ (* -1 (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* -1 (/ (+ (* -1 (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (- (* -1 (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) z)) (* -1 (* (pow x 2) (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))))) z))) z))))) |
(pow z 3) |
(+ (* -1 (* x (* y (pow z 2)))) (pow z 3)) |
(+ (* y (+ (* -1 (* x (pow z 2))) (* y (- (* (pow z 2) (+ (* -1 z) (* -1/2 z))) (* (pow x 2) z))))) (pow z 3)) |
(+ (* y (+ (* -1 (* x (pow z 2))) (* y (- (+ (* y (- (* (pow z 2) (+ x (* 1/6 x))) (* -1 (pow x 3)))) (* (pow z 2) (+ (* -1 z) (* -1/2 z)))) (* (pow x 2) z))))) (pow z 3)) |
(- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin 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)))) (- (* z (cos y)) (* x (sin 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)))) (- (* z (cos y)) (* x (sin 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)))) (- (* z (cos y)) (* x (sin 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))))) (- (* z (cos y)) (* x (sin 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))))) (- (* z (cos y)) (* x (sin 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))))) (- (* z (cos y)) (* x (sin 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))))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* z (cos y)) (* x (sin y)))))) |
(* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(+ (* -1 (* x (* (pow z 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))))) (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) |
(+ (* x (+ (* -1 (* x (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))))) (* -1 (* (pow z 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))))) (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) |
(+ (* x (+ (* -1 (* (pow z 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* x (- (* x (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))))))) (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) |
(* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) |
(* (pow x 3) (- (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) x)) (* -1 (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))))) |
(* (pow x 3) (- (* -1 (/ (* (pow z 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow x 2))) (+ (* -1 (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) x)))) |
(* (pow x 3) (- (+ (* -1 (/ (* (pow z 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow x 2))) (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow x 3))) (+ (* -1 (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) x)))) |
(* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) |
(* -1 (* (pow x 3) (- (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) x) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (* (pow z 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) x)) (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))))) x)) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) x)) (* (pow z 2) (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))) x)) (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))))) x)) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 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 (neg (* -2 y))))) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3)))) |
(- 1/2 (* 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 (neg (* -2 y))))) |
(- 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(- 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(- 1/2 (* 1/2 (cos (neg (* -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) (- 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 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 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.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))))) |
(neg.f64 (*.f64 (neg.f64 z) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(neg.f64 (*.f64 (neg.f64 z) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(neg.f64 (*.f64 (neg.f64 z) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.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))))) |
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.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 (*.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 (*.f64 y 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) |
(* 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 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) 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 (*.f64 x (*.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 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/5040 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 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y 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) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
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(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos 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)) |
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z |
(+ z (* y (- (* -1 x) (* -2 x)))) |
(fma.f64 x y z) |
(+ z (* y (- (+ (* -1 x) (* y (- (* -1/2 z) (+ (* -2 (/ (* x (- (* -1 x) (* -2 x))) z)) (* 2 (/ (pow x 2) z)))))) (* -2 x)))) |
(fma.f64 y (fma.f64 y (-.f64 (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) z) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) z))) x) z) |
(+ z (* y (- (+ (* -1 x) (* y (- (+ (* -1/2 z) (* y (- (* 1/6 x) (+ (* -2 (/ (* x (- (* -1/2 z) (+ (* -2 (/ (* x (- (* -1 x) (* -2 x))) z)) (* 2 (/ (pow x 2) z))))) z)) (+ (* -1 (/ (pow x 3) (pow z 2))) (+ (* 1/3 x) (/ (* (+ (* -1 (pow z 2)) (pow x 2)) (- (* -1 x) (* -2 x))) (pow z 2)))))))) (+ (* -2 (/ (* x (- (* -1 x) (* -2 x))) z)) (* 2 (/ (pow x 2) z)))))) (* -2 x)))) |
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(/ (- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y)))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) |
(/.f64 (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (-.f64 (*.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 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))) (pow.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) |
(/ (- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y)))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) |
(/.f64 (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (-.f64 (*.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 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))) (pow.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) |
(/ (- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y)))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) |
(/.f64 (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (-.f64 (*.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 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))) (pow.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) |
(/ (- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (* 2 y)))) (- (* z (cos y)) (* x (sin y)))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) |
(/.f64 (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (-.f64 (*.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 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))) (pow.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) |
(/ (- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* z (cos y)) (* x (sin y)))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) |
(/.f64 (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (-.f64 (*.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 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))) (pow.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) |
(/ (- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* z (cos y)) (* x (sin y)))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) |
(/.f64 (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (-.f64 (*.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 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))) (pow.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) |
(/ (- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* z (cos y)) (* x (sin y)))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) |
(/.f64 (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (-.f64 (*.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 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))) (pow.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) |
(/ (- (* (pow z 2) (* (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* z (cos y)) (* x (sin y))))) (* (pow x 2) (* (- 1/2 (* 1/2 (cos (neg (* -2 y))))) (- (* z (cos y)) (* x (sin y)))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) |
(/.f64 (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (-.f64 (*.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 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))) (pow.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) |
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos 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)) |
(+ (* x (- (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))) (* -2 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos 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 (*.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 (- (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))) (* x (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (+ (* -2 (/ (* (sin y) (- (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))) (* -2 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (* z (cos y)))) (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3))))))) (* -2 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos 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 (fma.f64 x (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (neg.f64 (*.f64 z (cos.f64 y)))) (fma.f64 (*.f64 #s(literal -2 binary64) (sin.f64 y)) (/.f64 (/.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))) (*.f64 z (cos.f64 y))) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) (/.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)))))) |
(+ (* x (- (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))) (* x (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (* x (- (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (cos y) 2))) (+ (* -2 (/ (* (sin y) (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (+ (* -2 (/ (* (sin y) (- (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))) (* -2 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (* z (cos y)))) (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))))) (* z (cos y)))) (/ (* (pow (sin y) 2) (- (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))) (* -2 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (* (pow z 2) (pow (cos y) 2))))))) (+ (* -2 (/ (* (sin y) (- (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))) (* -2 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (* z (cos y)))) (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3))))))) (* -2 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) |
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(/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) |
(*.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))) |
(* x (- (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y)))) (+ (* -2 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))) |
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(* x (- (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (* 1/2 (/ 1 (sin y))))) (+ (* -2 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (+ (* -2 (/ (* z (* (cos y) (- (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -2 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))))) (* (pow x 2) (sin y)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3)))))))) |
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(* x (- (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (+ (* 1/2 (/ 1 (sin y))) (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (sin y) 2)))))) (+ (* -2 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (+ (* -2 (/ (* z (* (cos y) (- (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -2 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))))) (* (pow x 2) (sin y)))) (+ (* -2 (/ (* z (* (cos y) (- (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (+ (* -2 (/ (* z (* (cos y) (- (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -2 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))))) (sin y))) (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* (pow x 3) (sin y)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -2 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))))) (* (pow x 3) (pow (sin y) 2)))))))))) |
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(/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) |
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(* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) |
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1 |
#s(literal 1 binary64) |
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(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 x (*.f64 y y)) x) |
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))) |
(*.f64 (*.f64 y y) (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x (*.f64 y y)) x) (*.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 (*.f64 x x) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 x (*.f64 y y)) x))) (*.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 (*.f64 x x) #s(literal 2/45 binary64) (*.f64 #s(literal -1/315 binary64) (*.f64 (*.f64 x (*.f64 y y)) x))) (*.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) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) |
| 1× | batch-egg-rewrite |
| 4 854× | lower-fma.f32 |
| 4 848× | lower-fma.f64 |
| 4 454× | lower-*.f32 |
| 4 436× | lower-*.f64 |
| 4 224× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 212 |
| 0 | 63 | 157 |
| 1 | 233 | 121 |
| 2 | 1684 | 121 |
| 0 | 8574 | 121 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
(cos.f64 y) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(fma.f64 y x z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.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)))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(/.f64 (-.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 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 (*.f64 z (cos.f64 y)) (*.f64 x (sin.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 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (*.f64 (-.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))))))) |
(+.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 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
| Outputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.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 (cos.f64 y) z) (*.f64 x (sin.f64 y)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) (*.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 x (sin.f64 y)))) |
(+.f64 (*.f64 (*.f64 x (sin.f64 y)) #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 x (sin.f64 y)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) #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 (cos.f64 y) z) (*.f64 x (sin.f64 y)))) (/.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (/.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 (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))) (/.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.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 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (neg.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) #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 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) #s(literal 1 binary64))) |
(-.f64 (/.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 (cos.f64 y) z) (*.f64 x (sin.f64 y)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) (/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))) (fma.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))) #s(literal 2 binary64)))) (pow.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))) (*.f64 x x))) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))) (fma.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))) #s(literal 2 binary64)))) (pow.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))) (fma.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (pow.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))) (fma.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (pow.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))) |
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(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))) (fma.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) (/.f64 (pow.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))) (fma.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) (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))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 binary64)) (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))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (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 #s(literal 1/8 binary64) (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))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 binary64)) (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 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 binary64)) (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 #s(literal 1/8 binary64) (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 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 binary64)) (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 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.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))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 (/.f64 (*.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 #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 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.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))))))) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 y) (sin.f64 y)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (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 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.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 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 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 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 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) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) |
(*.f64 (neg.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) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) |
(*.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (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 #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 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #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))))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 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) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (*.f64 x x))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (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 x x) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.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 #s(literal 1 binary64) (/.f64 (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 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 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 x x)))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (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 #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 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (*.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))) |
(/.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 x x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (neg.f64 (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 (neg.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))))))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (*.f64 x x))) (neg.f64 (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 (neg.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 x x))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (*.f64 x x)) (*.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (*.f64 x x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (*.f64 x x)))))) |
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sin.f64 y) (neg.f64 x)) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(*.f64 x (*.f64 (sin.f64 y) (*.f64 x (sin.f64 y)))) |
(*.f64 (sin.f64 y) (*.f64 x (*.f64 x (sin.f64 y)))) |
(*.f64 (*.f64 x (sin.f64 y)) (*.f64 x (sin.f64 y))) |
(*.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (*.f64 (sin.f64 y) (neg.f64 x))) |
(*.f64 (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) x) |
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) x) (sin.f64 y)) |
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y)) x) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (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 #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 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (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 #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 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
Compiled 98 044 to 3 143 computations (96.8% saved)
39 alts after pruning (36 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 790 | 35 | 1 825 |
| Fresh | 10 | 1 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 802 | 39 | 1 841 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
| 51.9% | (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 20.9% | (/.f64 #s(approx (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (*.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (pow.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) | |
| 51.9% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 51.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)))) | |
| 52.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 x y z)))) | |
| 63.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y))))) | |
| 38.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 x (sin.f64 y))))) | |
| 35.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 (fma.f64 (neg.f64 z) (/.f64 (cos.f64 y) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x))) | |
| 63.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 (fma.f64 x (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) | |
| 42.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 #s(literal 1 binary64) z))) | |
| 35.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))) | |
| 53.9% | (+.f64 #s(approx (* x (sin y)) (*.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))) (*.f64 z (cos.f64 y))) | |
| 45.5% | (*.f64 (-.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))) | |
| 98.9% | #s(approx (/ (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) (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 (*.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))))) | |
| 62.9% | #s(approx (/ (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) (/.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))) | |
| 89.2% | #s(approx (/ (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) (*.f64 z (+.f64 (/.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))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))))) | |
| 27.8% | #s(approx (/ (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) (*.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)))) | |
| 51.5% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)) | |
| 51.7% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)) | |
| ▶ | 90.6% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))) |
| 83.2% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))) | |
| 38.6% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 x (sin.f64 y))) | |
| ✓ | 52.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 17.0% | #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 z (-.f64 z (*.f64 y x)) (*.f64 y (*.f64 x (*.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)))) | |
| 28.7% | #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))) | |
| ▶ | 28.6% | #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)))) |
| ✓ | 63.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
| 40.3% | #s(approx (+ (* x (sin y)) (* z (cos 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))))) | |
| 42.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| 46.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z))) | |
| ▶ | 51.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)))) |
| 39.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y))))) | |
| 44.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x))))) | |
| ▶ | 14.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| 40.5% | #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))) | |
| 40.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)) z))) |
Compiled 1 387 to 772 computations (44.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 y) z) |
| ✓ | cost-diff | 0 | (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
| ✓ | cost-diff | 0 | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))) |
| ✓ | cost-diff | 704 | (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
| ✓ | cost-diff | 0 | (fma.f64 y x z) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) |
| ✓ | cost-diff | 0 | #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)))) |
| ✓ | cost-diff | 2368 | (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))) |
| ✓ | cost-diff | 0 | (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))) |
| ✓ | cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)))) |
| ✓ | cost-diff | 1280 | (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 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 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 (cos.f64 y) z) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| 12 086× | lower-fma.f32 |
| 12 078× | lower-fma.f64 |
| 3 500× | lower-*.f32 |
| 3 486× | lower-*.f64 |
| 1 990× | lower-/.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 250 |
| 0 | 63 | 220 |
| 1 | 106 | 208 |
| 2 | 200 | 206 |
| 3 | 520 | 202 |
| 4 | 2280 | 192 |
| 5 | 5418 | 192 |
| 0 | 8269 | 192 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(sin.f64 y) |
y |
x |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) #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))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)))) |
#s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)) |
(fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) |
(neg.f64 x) |
x |
(/.f64 y z) |
y |
z |
#s(literal -1 binary64) |
(neg.f64 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)))) |
(*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))) |
(*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) |
(fma.f64 y x z) |
y |
x |
z |
(-.f64 (*.f64 y x) z) |
(*.f64 y x) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)) |
#s(literal 1 binary64) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
z |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
x |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
(cos.f64 y) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(sin.f64 y) |
y |
x |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (+ (* 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))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 y x z))) |
#s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))) |
#s(approx (+ (* y x) z) (fma.f64 y x z)) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)) |
(fma.f64 y x z) |
(fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) |
(fma.f64 y (/.f64 x (neg.f64 z)) #s(literal -1 binary64)) |
(neg.f64 x) |
x |
(/.f64 y z) |
y |
z |
#s(literal -1 binary64) |
(neg.f64 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 (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))) |
(fma.f64 y x z) |
(*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) |
(*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))) |
(fma.f64 y x z) |
y |
x |
z |
(-.f64 (*.f64 y x) z) |
(fma.f64 y x (neg.f64 z)) |
(*.f64 y x) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)) |
(/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
z |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) |
x |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
(cos.f64 y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 99.9% | (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 y) z) |
| ✓ | accuracy | 90.6% | (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
| ✓ | accuracy | 99.9% | (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)) |
| ✓ | accuracy | 52.9% | #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)))) |
| ✓ | accuracy | 46.5% | (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))) |
| ✓ | accuracy | 100.0% | #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))) |
| ✓ | accuracy | 96.9% | (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) |
| ✓ | accuracy | 92.2% | (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)) |
| ✓ | accuracy | 52.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)))) |
| ✓ | accuracy | 100.0% | (*.f64 x y) |
| ✓ | accuracy | 52.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| ✓ | accuracy | 48.1% | #s(approx (+ (* y x) z) (*.f64 x y)) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 99.9% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| ✓ | accuracy | 99.8% | (*.f64 (cos.f64 y) z) |
| 100.0ms | 256× | 0 | valid |
Compiled 192 to 35 computations (81.8% saved)
ival-mult: 32.0ms (39.1% of total)ival-neg: 19.0ms (23.2% of total)ival-div: 8.0ms (9.8% of total)ival-sin: 8.0ms (9.8% of total)ival-cos: 7.0ms (8.6% of total)ival-add: 6.0ms (7.3% of total)ival-sub: 1.0ms (1.2% 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 (cos.f64 y) z))> |
#<alt (sin.f64 y)> |
#<alt (*.f64 (cos.f64 y) z)> |
#<alt (cos.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 (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))> |
#<alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))))> |
#<alt #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)))> |
#<alt (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))> |
#<alt (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))> |
#<alt #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))))> |
#<alt (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))> |
#<alt (fma.f64 y x z)> |
#<alt (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))> |
#<alt #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))> |
#<alt (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))> |
#<alt (/.f64 (sin.f64 y) z)> |
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))> |
| 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)))> |
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#<alt (* -1 (pow z 2))> |
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) z)) 1))> |
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y))) z)) 1))> |
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y))) z)) 1))> |
#<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 (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 (* 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) (/ (* x (sin y)) z)))> |
#<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) (/ (* x (sin y)) z)))> |
#<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 (cos y)> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (/ (* x (sin y)) z)> |
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))> |
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))> |
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))> |
#<alt (/ (* x (sin y)) z)> |
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))> |
#<alt 1> |
#<alt (+ 1 (/ (* x y) z))> |
#<alt (+ 1 (* y (+ (* -1/2 y) (/ x z))))> |
#<alt (+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (/ (* x (sin y)) z)> |
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)> |
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)> |
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)> |
#<alt (cos y)> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (cos y)> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (/ y z)> |
#<alt (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))> |
#<alt (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))> |
#<alt (* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ -1 z)> |
#<alt (- (* -1 (/ (* x y) (pow z 2))) (/ 1 z))> |
#<alt (- (* y (- (* -1 (/ (* (pow x 2) y) (pow z 3))) (/ x (pow z 2)))) (/ 1 z))> |
#<alt (- (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (pow z 4))) (/ (pow x 2) (pow z 3)))) (/ x (pow z 2)))) (/ 1 z))> |
#<alt (/ 1 (* x y))> |
#<alt (/ (+ (/ 1 x) (/ z (* (pow x 2) y))) y)> |
#<alt (/ (- (+ (/ 1 x) (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* -1 (/ z (* (pow x 2) y)))) y)> |
#<alt (/ (- (+ (/ 1 x) (/ (pow z 3) (* (pow x 4) (pow y 3)))) (+ (* -1 (/ z (* (pow x 2) y))) (* -1 (/ (pow z 2) (* (pow x 3) (pow y 2)))))) y)> |
#<alt (/ 1 (* x y))> |
#<alt (* -1 (/ (- (* -1 (/ z (* (pow x 2) y))) (/ 1 x)) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* (pow x 3) y)) (* -1 (/ z (pow x 2)))) y)) (/ 1 x)) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* (pow x 4) y))) (/ (pow z 2) (pow x 3))) y)) (* -1 (/ z (pow x 2)))) y)) (/ 1 x)) y))> |
#<alt (/ -1 z)> |
#<alt (- (* -1 (/ (* x y) (pow z 2))) (/ 1 z))> |
#<alt (- (* x (- (* -1 (/ (* x (pow y 2)) (pow z 3))) (/ y (pow z 2)))) (/ 1 z))> |
#<alt (- (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow z 4))) (/ (pow y 2) (pow z 3)))) (/ y (pow z 2)))) (/ 1 z))> |
#<alt (/ 1 (* x y))> |
#<alt (/ (+ (/ 1 y) (/ z (* x (pow y 2)))) x)> |
#<alt (/ (- (+ (/ 1 y) (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* -1 (/ z (* x (pow y 2))))) x)> |
#<alt (/ (- (+ (/ 1 y) (/ (pow z 3) (* (pow x 3) (pow y 4)))) (+ (* -1 (/ z (* x (pow y 2)))) (* -1 (/ (pow z 2) (* (pow x 2) (pow y 3)))))) x)> |
#<alt (/ 1 (* x y))> |
#<alt (* -1 (/ (- (* -1 (/ z (* x (pow y 2)))) (/ 1 y)) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* x (pow y 3))) (* -1 (/ z (pow y 2)))) x)) (/ 1 y)) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* x (pow y 4)))) (/ (pow z 2) (pow y 3))) x)) (* -1 (/ z (pow y 2)))) x)) (/ 1 y)) x))> |
#<alt (/ 1 (* x y))> |
#<alt (+ (/ 1 (* x y)) (/ z (* (pow x 2) (pow y 2))))> |
#<alt (+ (* z (+ (/ 1 (* (pow x 2) (pow y 2))) (/ z (* (pow x 3) (pow y 3))))) (/ 1 (* x y)))> |
#<alt (+ (* z (+ (* z (+ (/ 1 (* (pow x 3) (pow y 3))) (/ z (* (pow x 4) (pow y 4))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))> |
#<alt (/ -1 z)> |
#<alt (/ (- (* -1 (/ (* x y) z)) 1) z)> |
#<alt (/ (- (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ 1 (/ (* x y) z))) z)> |
#<alt (/ (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ 1 (+ (/ (* x y) z) (/ (* (pow x 2) (pow y 2)) (pow z 2))))) z)> |
#<alt (/ -1 z)> |
#<alt (* -1 (/ (+ 1 (/ (* x y) z)) z))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y)) z))) z))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow y 3)) z) (* -1 (* (pow x 2) (pow y 2)))) z)) (* x y)) z))) z))> |
159 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | z | @ | inf | (* (+ (* (neg x) (/ y z)) -1) (neg z)) |
| 3.0ms | y | @ | -inf | (* x y) |
| 2.0ms | x | @ | inf | (/ 1 (- (* y x) z)) |
| 1.0ms | y | @ | inf | (* z (+ (* x (/ (sin y) z)) (cos y))) |
| 1.0ms | x | @ | inf | (* (+ (* (neg x) (/ y z)) -1) (neg z)) |
| 1× | egg-herbie |
| 11 462× | lower-fma.f64 |
| 11 462× | lower-fma.f32 |
| 5 230× | lower-*.f64 |
| 5 230× | lower-*.f32 |
| 3 172× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 433 | 5194 |
| 1 | 1392 | 5008 |
| 2 | 4342 | 4900 |
| 0 | 8221 | 4554 |
| 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 |
(+ 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)) |
(* 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)) |
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))) |
(* 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 |
(+ 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))))) |
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))))) |
(* 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))) |
(* 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))) |
-1 |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(* -1 (/ (* x y) z)) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(* x (- (* -1 (/ y z)) (/ 1 x))) |
(* -1 (/ (* x y) z)) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
(* -1 (* x (+ (/ 1 x) (/ y z)))) |
-1 |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(* -1 (/ (* x y) z)) |
(* y (- (* -1 (/ x z)) (/ 1 y))) |
(* y (- (* -1 (/ x z)) (/ 1 y))) |
(* y (- (* -1 (/ x z)) (/ 1 y))) |
(* -1 (/ (* x y) z)) |
(* -1 (* y (+ (/ 1 y) (/ x z)))) |
(* -1 (* y (+ (/ 1 y) (/ x z)))) |
(* -1 (* y (+ (/ 1 y) (/ x z)))) |
(* -1 (/ (* x y) z)) |
(/ (+ (* -1 z) (* -1 (* x y))) z) |
(/ (+ (* -1 z) (* -1 (* x y))) z) |
(/ (+ (* -1 z) (* -1 (* x y))) z) |
-1 |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
-1 |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
(- (* -1 (/ (* x y) z)) 1) |
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))) |
(* 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))))) |
(* -1 (pow z 2)) |
(+ (* -1 (pow z 2)) (* y (+ (* -1 (* x z)) (* x z)))) |
(+ (* -1 (pow z 2)) (* y (+ (* -1 (* x z)) (+ (* x z) (* (pow x 2) y))))) |
(+ (* -1 (pow z 2)) (* y (+ (* -1 (* x z)) (+ (* x z) (* (pow x 2) y))))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (* x z) y) (pow x 2)))) |
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ (* x z) y) (pow x 2))))) |
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ (* x z) y) (pow x 2))))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (* x z)) y)) (pow x 2))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (+ (* x z) (/ (pow z 2) y))) y)) (pow x 2))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (+ (* x z) (/ (pow z 2) y))) y)) (pow x 2))) |
(* -1 (pow z 2)) |
(+ (* -1 (pow z 2)) (* x (+ (* -1 (* y z)) (* y z)))) |
(+ (* -1 (pow z 2)) (* x (+ (* -1 (* y z)) (+ (* x (pow y 2)) (* y z))))) |
(+ (* -1 (pow z 2)) (* x (+ (* -1 (* y z)) (+ (* x (pow y 2)) (* y z))))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (* -1 (/ (* y z) x)) (+ (/ (* y z) x) (pow y 2)))) |
(* (pow x 2) (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (+ (/ (* y z) x) (pow y 2))))) |
(* (pow x 2) (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (+ (/ (* y z) x) (pow y 2))))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* y z)) (* y z)) x)) (pow y 2))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* y z)) (+ (* y z) (/ (pow z 2) x))) x)) (pow y 2))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* y z)) (+ (* y z) (/ (pow z 2) x))) x)) (pow y 2))) |
(* (pow x 2) (pow y 2)) |
(+ (* z (+ (* -1 (* x y)) (* x y))) (* (pow x 2) (pow y 2))) |
(+ (* z (+ (* -1 z) (+ (* -1 (* x y)) (* x y)))) (* (pow x 2) (pow y 2))) |
(+ (* z (+ (* -1 z) (+ (* -1 (* x y)) (* x y)))) (* (pow x 2) (pow y 2))) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (+ (* -1 (/ (* x y) z)) (/ (* x y) z)) 1)) |
(* (pow z 2) (- (+ (* -1 (/ (* x y) z)) (+ (/ (* x y) z) (/ (* (pow x 2) (pow y 2)) (pow z 2)))) 1)) |
(* (pow z 2) (- (+ (* -1 (/ (* x y) z)) (+ (/ (* x y) z) (/ (* (pow x 2) (pow y 2)) (pow z 2)))) 1)) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) z)) 1)) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y))) z)) 1)) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y))) z)) 1)) |
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 (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))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* x (sin y)) |
(+ (* 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))))) |
(cos y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(/ (* x (sin y)) z) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(/ (* x (sin y)) z) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
1 |
(+ 1 (/ (* x y) z)) |
(+ 1 (* y (+ (* -1/2 y) (/ x z)))) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x 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)) z)) |
(/ (* x (sin y)) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(cos y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(cos y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(/ y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ -1 z) |
(- (* -1 (/ (* x y) (pow z 2))) (/ 1 z)) |
(- (* y (- (* -1 (/ (* (pow x 2) y) (pow z 3))) (/ x (pow z 2)))) (/ 1 z)) |
(- (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (pow z 4))) (/ (pow x 2) (pow z 3)))) (/ x (pow z 2)))) (/ 1 z)) |
(/ 1 (* x y)) |
(/ (+ (/ 1 x) (/ z (* (pow x 2) y))) y) |
(/ (- (+ (/ 1 x) (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* -1 (/ z (* (pow x 2) y)))) y) |
(/ (- (+ (/ 1 x) (/ (pow z 3) (* (pow x 4) (pow y 3)))) (+ (* -1 (/ z (* (pow x 2) y))) (* -1 (/ (pow z 2) (* (pow x 3) (pow y 2)))))) y) |
(/ 1 (* x y)) |
(* -1 (/ (- (* -1 (/ z (* (pow x 2) y))) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* (pow x 3) y)) (* -1 (/ z (pow x 2)))) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* (pow x 4) y))) (/ (pow z 2) (pow x 3))) y)) (* -1 (/ z (pow x 2)))) y)) (/ 1 x)) y)) |
(/ -1 z) |
(- (* -1 (/ (* x y) (pow z 2))) (/ 1 z)) |
(- (* x (- (* -1 (/ (* x (pow y 2)) (pow z 3))) (/ y (pow z 2)))) (/ 1 z)) |
(- (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow z 4))) (/ (pow y 2) (pow z 3)))) (/ y (pow z 2)))) (/ 1 z)) |
(/ 1 (* x y)) |
(/ (+ (/ 1 y) (/ z (* x (pow y 2)))) x) |
(/ (- (+ (/ 1 y) (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* -1 (/ z (* x (pow y 2))))) x) |
(/ (- (+ (/ 1 y) (/ (pow z 3) (* (pow x 3) (pow y 4)))) (+ (* -1 (/ z (* x (pow y 2)))) (* -1 (/ (pow z 2) (* (pow x 2) (pow y 3)))))) x) |
(/ 1 (* x y)) |
(* -1 (/ (- (* -1 (/ z (* x (pow y 2)))) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* x (pow y 3))) (* -1 (/ z (pow y 2)))) x)) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* x (pow y 4)))) (/ (pow z 2) (pow y 3))) x)) (* -1 (/ z (pow y 2)))) x)) (/ 1 y)) x)) |
(/ 1 (* x y)) |
(+ (/ 1 (* x y)) (/ z (* (pow x 2) (pow y 2)))) |
(+ (* z (+ (/ 1 (* (pow x 2) (pow y 2))) (/ z (* (pow x 3) (pow y 3))))) (/ 1 (* x y))) |
(+ (* z (+ (* z (+ (/ 1 (* (pow x 3) (pow y 3))) (/ z (* (pow x 4) (pow y 4))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) |
(/ -1 z) |
(/ (- (* -1 (/ (* x y) z)) 1) z) |
(/ (- (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ 1 (/ (* x y) z))) z) |
(/ (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ 1 (+ (/ (* x y) z) (/ (* (pow x 2) (pow y 2)) (pow z 2))))) z) |
(/ -1 z) |
(* -1 (/ (+ 1 (/ (* x y) z)) z)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y)) z))) z)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow y 3)) z) (* -1 (* (pow x 2) (pow y 2)))) z)) (* x y)) z))) z)) |
| 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 (*.f64 x 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))) |
(* 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))) |
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(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(* -1 (/ (- (* -1 (/ z (* x (pow y 2)))) (/ 1 y)) x)) |
(-.f64 (/.f64 z (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (*.f64 x y))) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* x (pow y 3))) (* -1 (/ z (pow y 2)))) x)) (/ 1 y)) x)) |
(/.f64 (+.f64 (/.f64 z (*.f64 x (*.f64 y y))) (fma.f64 z (/.f64 z (*.f64 x (*.f64 x (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) y))) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* x (pow y 4)))) (/ (pow z 2) (pow y 3))) x)) (* -1 (/ z (pow y 2)))) x)) (/ 1 y)) x)) |
(/.f64 (+.f64 (+.f64 (/.f64 (*.f64 z (+.f64 (/.f64 (*.f64 z z) (*.f64 x (*.f64 (*.f64 y y) (*.f64 y y)))) (/.f64 z (*.f64 y (*.f64 y y))))) (*.f64 x x)) (/.f64 z (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)) x) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(+ (/ 1 (* x y)) (/ z (* (pow x 2) (pow y 2)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 z (*.f64 x (*.f64 x (*.f64 y y))))) |
(+ (* z (+ (/ 1 (* (pow x 2) (pow y 2))) (/ z (* (pow x 3) (pow y 3))))) (/ 1 (* x y))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (fma.f64 z (/.f64 z (*.f64 x (*.f64 x (*.f64 x (*.f64 y (*.f64 y y)))))) (/.f64 z (*.f64 x (*.f64 x (*.f64 y y)))))) |
(+ (* z (+ (* z (+ (/ 1 (* (pow x 3) (pow y 3))) (/ z (* (pow x 4) (pow y 4))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) |
(fma.f64 z (fma.f64 z (/.f64 z (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y y) (*.f64 y y)))) (/.f64 z (*.f64 x (*.f64 x (*.f64 x (*.f64 y (*.f64 y y))))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 z (*.f64 x (*.f64 x (*.f64 y y)))))) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ (- (* -1 (/ (* x y) z)) 1) z) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) z) |
(/ (- (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ 1 (/ (* x y) z))) z) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 y y) z) y)) z)) (neg.f64 z)) |
(/ (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ 1 (+ (/ (* x y) z) (/ (* (pow x 2) (pow y 2)) (pow z 2))))) z) |
(/.f64 (+.f64 (fma.f64 (neg.f64 x) (*.f64 (*.f64 x x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 y y) z) y)) z))) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(* -1 (/ (+ 1 (/ (* x y) z)) z)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) z) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y)) z))) z)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 y y) z) y)) z)) (neg.f64 z)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow y 3)) z) (* -1 (* (pow x 2) (pow y 2)))) z)) (* x y)) z))) z)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (fma.f64 x y (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 y (*.f64 y y)) z) (*.f64 y y))) z))) z)) z) |
| 1× | batch-egg-rewrite |
| 6 666× | lower-fma.f32 |
| 6 658× | lower-fma.f64 |
| 4 414× | lower-*.f32 |
| 4 400× | lower-*.f64 |
| 3 730× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 215 |
| 0 | 63 | 191 |
| 1 | 214 | 178 |
| 2 | 1342 | 178 |
| 0 | 8434 | 178 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(sin.f64 y) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* y x) z) (*.f64 x y)) |
(*.f64 x y) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)))) |
#s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))) |
(fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) |
(*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) 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)))) |
(*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) |
(fma.f64 y x z) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(/.f64 (sin.f64 y) z) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)) |
| 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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.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 y 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 y y))))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) |
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.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 y 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 y y))))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.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 y 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 y y))))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 x (sin.f64 y) (*.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 (*.f64 (sin.f64 y) x) #s(literal 1 binary64) (*.f64 (cos.f64 y) z)) |
(fma.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (/.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 y 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 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) |
(neg.f64 (neg.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))) |
(/.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (*.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))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (neg.f64 (neg.f64 (-.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 y y))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (-.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 y y))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (neg.f64 (neg.f64 (-.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)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (*.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)))) (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 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (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 y y))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))) (neg.f64 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) |
(/.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 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (*.f64 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))) (*.f64 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) |
(/.f64 (neg.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))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))))) |
(/.f64 (neg.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))))) (neg.f64 (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 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) #s(literal 3 binary64)) (pow.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 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (fma.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 (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 y y))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.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 y y))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))))) |
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(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 y x) z)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 x) z))) |
(-.f64 (/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 x) z))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 x) z)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (fma.f64 y (neg.f64 x) z)) |
(/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)) |
(/.f64 (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (fma.f64 y x z))) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (neg.f64 (*.f64 z (*.f64 z z))))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (fma.f64 y x z)))) (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (fma.f64 y x z))) (fma.f64 y (neg.f64 x) z))) |
(/.f64 (neg.f64 (fma.f64 y x z)) (*.f64 (fma.f64 y x z) (fma.f64 y (neg.f64 x) z))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x z) (fma.f64 y (neg.f64 x) z))) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) |
(pow.f64 (-.f64 (*.f64 y x) z) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 (*.f64 y x) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (-.f64 (*.f64 y x) z))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 x) z))) |
(*.f64 (fma.f64 y x z) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x z) (fma.f64 y (neg.f64 x) z)))) |
(*.f64 (fma.f64 y x z) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (neg.f64 x) z)) (fma.f64 y x z))) |
(*.f64 (-.f64 (*.f64 y x) z) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (neg.f64 x) z)) (-.f64 (*.f64 y x) z))) |
(*.f64 (-.f64 (*.f64 y x) z) (/.f64 (/.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y (neg.f64 x) z))) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (neg.f64 x) z)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (fma.f64 y x z))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (neg.f64 x) z)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (fma.f64 y x z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (neg.f64 (*.f64 z (*.f64 z z)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x z)) (/.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x z)) (/.f64 (/.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 y x) z) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (*.f64 y x) z) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (neg.f64 (*.f64 z (*.f64 z z))))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (fma.f64 y x z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (neg.f64 (*.f64 z (*.f64 z z))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (fma.f64 y x z)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x z) (fma.f64 y (neg.f64 x) z))) (fma.f64 y x z)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x z) (fma.f64 y (neg.f64 x) z))) (/.f64 (fma.f64 y x z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))) (-.f64 (*.f64 y x) z)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 y x) z) (fma.f64 y x z)) (/.f64 (/.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (neg.f64 x) z)) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))) |
(*.f64 (/.f64 (fma.f64 y x z) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x z) (fma.f64 y (neg.f64 x) z)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) |
(*.f64 (/.f64 (/.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z)) (/.f64 (-.f64 (*.f64 y x) z) (fma.f64 y x z))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (neg.f64 x) z)) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (neg.f64 x) z)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (neg.f64 x) z)) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z))) (-.f64 (*.f64 y x) z)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))) (fma.f64 y x z))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 (fma.f64 y x z) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (fma.f64 y x z)))) #s(literal 1 binary64)) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (fma.f64 y x z))) (fma.f64 y x z))) |
(*.f64 (/.f64 (*.f64 (/.f64 (fma.f64 y x z) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (fma.f64 y x z)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (fma.f64 y x z))) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (fma.f64 y x z) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (fma.f64 y x z)))) #s(literal 1 binary64)) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (fma.f64 y x z))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (fma.f64 y x z)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (/.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (neg.f64 x) z)) (fma.f64 y x z)) (fma.f64 y x z)) |
(*.f64 (/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z))) (fma.f64 y x z)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))) (-.f64 (*.f64 y x) z))) |
(*.f64 (/.f64 (*.f64 (/.f64 (fma.f64 y x z) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (fma.f64 y x z)))) #s(literal 1 binary64)) (fma.f64 y x z)) (/.f64 (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (fma.f64 y x z))) (-.f64 (*.f64 y x) z))) |
Compiled 32 937 to 2 181 computations (93.4% saved)
51 alts after pruning (46 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 347 | 27 | 1 374 |
| Fresh | 12 | 19 | 31 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 362 | 51 | 1 413 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
| 20.9% | (/.f64 #s(approx (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (*.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (pow.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) | |
| 51.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)))) | |
| ▶ | 63.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y))))) |
| 38.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 x (sin.f64 y))))) | |
| 35.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 (fma.f64 (neg.f64 z) (/.f64 (cos.f64 y) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x))) | |
| 42.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 #s(literal 1 binary64) z))) | |
| 53.9% | (+.f64 #s(approx (* x (sin y)) (*.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))) (*.f64 z (cos.f64 y))) | |
| 45.5% | (*.f64 (-.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))) | |
| 62.9% | #s(approx (/ (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) (/.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))) | |
| 27.8% | #s(approx (/ (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) (*.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)))) | |
| 51.7% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) | |
| ▶ | 51.5% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)) |
| 86.7% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y))))) | |
| 86.8% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z)) | |
| ▶ | 90.6% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y)))) |
| 68.5% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(approx (cos y) #s(literal 1 binary64))))) | |
| 56.1% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (/.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 z z)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (/.f64 (*.f64 (sin.f64 y) x) z) (cos.f64 y))))) | |
| 46.6% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64))))) | |
| 51.4% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))))) | |
| 29.4% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (/.f64 (*.f64 x (sin.f64 y)) z)))) | |
| 90.4% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))))) | |
| ▶ | 42.1% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)))) |
| 83.2% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))) | |
| 38.6% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 x (sin.f64 y))) | |
| 28.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 (*.f64 y x) x) #s(literal 1 binary64)) (/.f64 y (-.f64 (*.f64 y x) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z))))) | |
| 21.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z))))) | |
| ✓ | 52.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 13.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) | |
| ▶ | 26.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))) |
| 25.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x z) (fma.f64 y (neg.f64 x) z)))))) | |
| 9.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) #s(approx (/ 1 (- (* y x) z)) (/.f64 #s(literal 1 binary64) (*.f64 x y))))) | |
| 22.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) | |
| 11.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 y (*.f64 y (fma.f64 z (/.f64 z (*.f64 y (neg.f64 y))) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) | |
| 8.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) | |
| ✓ | 63.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
| 40.3% | #s(approx (+ (* x (sin y)) (* z (cos 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))))) | |
| 46.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z))) | |
| 7.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 0 binary64)) (-.f64 (*.f64 y x) #s(literal 0 binary64))))) | |
| 35.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 z)) (fma.f64 x (/.f64 y (neg.f64 z)) #s(literal 1 binary64))))) | |
| 14.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))))) | |
| 51.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (neg.f64 z)))) | |
| 51.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (neg.f64 z)))) | |
| 47.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 z)))) | |
| 51.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z)))) (neg.f64 z)))) | |
| 39.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y))))) | |
| 44.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x))))) | |
| ✓ | 14.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| 40.5% | #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))) | |
| 40.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)) z))) |
Compiled 1 860 to 999 computations (46.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 z (cos.f64 y)) |
| ✓ | cost-diff | 0 | #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y)))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y))))) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) |
| ✓ | cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))) |
| ✓ | cost-diff | 1088 | (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) |
| ✓ | cost-diff | 2368 | (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))) |
| ✓ | cost-diff | 0 | (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #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 x y) #s(literal -1/6 binary64))) x) z) |
| ✓ | cost-diff | 0 | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)) |
| ✓ | cost-diff | 0 | #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 y) x) |
| ✓ | cost-diff | 0 | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y)))) |
| ✓ | cost-diff | 320 | (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y)) |
| ✓ | cost-diff | 704 | (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y))) |
| 27 028× | lower-fma.f32 |
| 27 018× | lower-fma.f64 |
| 5 446× | lower-*.f32 |
| 5 428× | lower-*.f64 |
| 3 180× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 349 |
| 0 | 71 | 352 |
| 1 | 133 | 318 |
| 2 | 298 | 280 |
| 3 | 781 | 274 |
| 4 | 2830 | 274 |
| 5 | 6536 | 274 |
| 0 | 8245 | 261 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y)))) |
(*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y))) |
z |
(fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
(cos.f64 y) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)))) |
(*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))) |
z |
#s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z) |
y |
(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) |
(fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) |
z |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 x y) #s(literal -1/6 binary64)) |
(*.f64 x y) |
x |
#s(literal -1/6 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))) |
(*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))) |
(*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) |
(fma.f64 y x z) |
y |
x |
z |
(-.f64 (*.f64 y x) z) |
(*.f64 y x) |
(/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y)))) |
#s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
y |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y)))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
z |
(fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y)) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
y |
x |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
(cos.f64 y) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)))) |
(*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))) |
z |
#s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin 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)) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z) |
(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) |
y |
(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) |
(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x) |
(fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) |
(fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) |
z |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 x y) #s(literal -1/6 binary64)) |
(*.f64 x (*.f64 y #s(literal -1/6 binary64))) |
(*.f64 x y) |
(*.f64 y x) |
x |
#s(literal -1/6 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y x z)) |
(*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))) |
(fma.f64 y x z) |
(*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) |
(fma.f64 y x z) |
y |
x |
z |
(-.f64 (*.f64 y x) z) |
(*.f64 y x) |
(/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (cos.f64 y))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (cos.f64 y)))) |
#s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 z (cos.f64 y)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y)))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y))))) |
| ✓ | accuracy | 63.5% | #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y))) |
| ✓ | accuracy | 99.9% | (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) |
| ✓ | accuracy | 52.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))) |
| ✓ | accuracy | 46.5% | (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))) |
| ✓ | accuracy | 44.5% | (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) |
| ✓ | accuracy | 100.0% | (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) |
| ✓ | accuracy | 100.0% | (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) |
| ✓ | accuracy | 51.5% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)) |
| ✓ | accuracy | 100.0% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)))) |
| ✓ | accuracy | 90.6% | (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))) |
| ✓ | accuracy | 42.0% | #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y)) |
| ✓ | accuracy | 99.8% | (*.f64 (sin.f64 y) x) |
| ✓ | accuracy | 90.6% | (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y))) |
| 99.0ms | 256× | 0 | valid |
Compiled 278 to 39 computations (86% saved)
ival-mult: 22.0ms (39% of total)ival-add: 9.0ms (15.9% of total)ival-div: 8.0ms (14.2% of total)ival-cos: 7.0ms (12.4% of total)ival-sin: 5.0ms (8.9% of total)const: 4.0ms (7.1% of total)ival-sub: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y)))> |
#<alt (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y))> |
#<alt #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y))))> |
#<alt (*.f64 (sin.f64 y) x)> |
#<alt #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))))> |
#<alt (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)))> |
#<alt #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))> |
#<alt #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z))> |
#<alt (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)> |
#<alt (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x)> |
#<alt (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64)))> |
#<alt (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))> |
#<alt (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))> |
#<alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))> |
#<alt (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y)))))> |
#<alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y))))> |
#<alt #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y)))> |
#<alt (*.f64 z (cos.f64 y))> |
#<alt (cos.f64 y)> |
#<alt (*.f64 (*.f64 x y) #s(literal -1/6 binary64))> |
| Outputs |
|---|
#<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 (* 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) (/ (* x (sin y)) z)))> |
#<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) (/ (* 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 (/ (* x y) z))> |
#<alt (+ 1 (* y (+ (* -1/2 y) (/ x z))))> |
#<alt (+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (cos y)> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (/ (* x (sin y)) z)> |
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))> |
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))> |
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))> |
#<alt (/ (* x (sin y)) z)> |
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))> |
#<alt (/ (* x (sin y)) z)> |
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)> |
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)> |
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)> |
#<alt (cos y)> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (cos y)> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<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 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 (* 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)) (* 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 (* 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) (/ (* x (sin y)) z)))> |
#<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) (/ (* x (sin y)) z)))> |
#<alt (cos y)> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (/ (* x (sin y)) z)> |
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))> |
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))> |
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))> |
#<alt (/ (* x (sin y)) z)> |
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))> |
#<alt 1> |
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#<alt (+ 1 (* y (+ (* -1/2 y) (/ x z))))> |
#<alt (+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (/ (* x (sin y)) z)> |
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)> |
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)> |
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)> |
#<alt (cos y)> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (cos y)> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<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 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 (* 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 (* -1/2 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))> |
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#<alt (* x y)> |
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#<alt (- (* y (- (* -1 (/ (* (pow x 2) y) (pow z 3))) (/ x (pow z 2)))) (/ 1 z))> |
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#<alt (/ 1 (* x y))> |
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#<alt (/ (- (+ (/ 1 x) (/ (pow z 3) (* (pow x 4) (pow y 3)))) (+ (* -1 (/ z (* (pow x 2) y))) (* -1 (/ (pow z 2) (* (pow x 3) (pow y 2)))))) y)> |
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#<alt (/ -1 z)> |
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#<alt (/ -1 z)> |
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#<alt (/ -1 z)> |
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#<alt (* z (cos y))> |
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#<alt (* x (sin y))> |
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#<alt z> |
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#<alt (/ 1 z)> |
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#<alt z> |
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#<alt z> |
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#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
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#<alt (* z (cos y))> |
#<alt 1> |
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#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
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#<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))> |
174 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | -inf | (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) |
| 1.0ms | x | @ | 0 | (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) |
| 1.0ms | x | @ | -inf | (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) |
| 1.0ms | z | @ | 0 | (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) |
| 1.0ms | x | @ | inf | (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) |
| 1× | egg-herbie |
| 7 550× | lower-fma.f64 |
| 7 550× | lower-fma.f32 |
| 6 264× | lower-*.f64 |
| 6 264× | lower-*.f32 |
| 2 638× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 680 | 7651 |
| 1 | 2262 | 7317 |
| 2 | 7723 | 7303 |
| 0 | 8033 | 6756 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* 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))))))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* 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 (/ (* x y) z)) |
(+ 1 (* y (+ (* -1/2 y) (/ x z)))) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x 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)) z)) |
(cos y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(/ (* x (sin y)) z) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(/ (* x (sin y)) z) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(/ (* x (sin y)) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(cos y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(cos y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(* 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 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)) |
(* 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)) (* 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))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(cos y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(/ (* x (sin y)) z) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(/ (* x (sin y)) z) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
1 |
(+ 1 (/ (* x y) z)) |
(+ 1 (* y (+ (* -1/2 y) (/ x z)))) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x 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)) z)) |
(/ (* x (sin y)) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(cos y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(cos y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(* 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))))) |
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)) |
(* 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))))) |
(* -1/2 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))))) |
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))) |
(/ -1 z) |
(- (* -1 (/ (* x y) (pow z 2))) (/ 1 z)) |
(- (* y (- (* -1 (/ (* (pow x 2) y) (pow z 3))) (/ x (pow z 2)))) (/ 1 z)) |
(- (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (pow z 4))) (/ (pow x 2) (pow z 3)))) (/ x (pow z 2)))) (/ 1 z)) |
(/ 1 (* x y)) |
(/ (+ (/ 1 x) (/ z (* (pow x 2) y))) y) |
(/ (- (+ (/ 1 x) (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* -1 (/ z (* (pow x 2) y)))) y) |
(/ (- (+ (/ 1 x) (/ (pow z 3) (* (pow x 4) (pow y 3)))) (+ (* -1 (/ z (* (pow x 2) y))) (* -1 (/ (pow z 2) (* (pow x 3) (pow y 2)))))) y) |
(/ 1 (* x y)) |
(* -1 (/ (- (* -1 (/ z (* (pow x 2) y))) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* (pow x 3) y)) (* -1 (/ z (pow x 2)))) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* (pow x 4) y))) (/ (pow z 2) (pow x 3))) y)) (* -1 (/ z (pow x 2)))) y)) (/ 1 x)) y)) |
(/ -1 z) |
(- (* -1 (/ (* x y) (pow z 2))) (/ 1 z)) |
(- (* x (- (* -1 (/ (* x (pow y 2)) (pow z 3))) (/ y (pow z 2)))) (/ 1 z)) |
(- (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow z 4))) (/ (pow y 2) (pow z 3)))) (/ y (pow z 2)))) (/ 1 z)) |
(/ 1 (* x y)) |
(/ (+ (/ 1 y) (/ z (* x (pow y 2)))) x) |
(/ (- (+ (/ 1 y) (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* -1 (/ z (* x (pow y 2))))) x) |
(/ (- (+ (/ 1 y) (/ (pow z 3) (* (pow x 3) (pow y 4)))) (+ (* -1 (/ z (* x (pow y 2)))) (* -1 (/ (pow z 2) (* (pow x 2) (pow y 3)))))) x) |
(/ 1 (* x y)) |
(* -1 (/ (- (* -1 (/ z (* x (pow y 2)))) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* x (pow y 3))) (* -1 (/ z (pow y 2)))) x)) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* x (pow y 4)))) (/ (pow z 2) (pow y 3))) x)) (* -1 (/ z (pow y 2)))) x)) (/ 1 y)) x)) |
(/ 1 (* x y)) |
(+ (/ 1 (* x y)) (/ z (* (pow x 2) (pow y 2)))) |
(+ (* z (+ (/ 1 (* (pow x 2) (pow y 2))) (/ z (* (pow x 3) (pow y 3))))) (/ 1 (* x y))) |
(+ (* z (+ (* z (+ (/ 1 (* (pow x 3) (pow y 3))) (/ z (* (pow x 4) (pow y 4))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) |
(/ -1 z) |
(/ (- (* -1 (/ (* x y) z)) 1) z) |
(/ (- (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ 1 (/ (* x y) z))) z) |
(/ (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ 1 (+ (/ (* x y) z) (/ (* (pow x 2) (pow y 2)) (pow z 2))))) z) |
(/ -1 z) |
(* -1 (/ (+ 1 (/ (* x y) z)) z)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y)) z))) z)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow y 3)) z) (* -1 (* (pow x 2) (pow y 2)))) z)) (* x y)) z))) 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))))) |
(* -1 (pow z 2)) |
(+ (* -1 (pow z 2)) (* y (+ (* -1 (* x z)) (* x z)))) |
(+ (* -1 (pow z 2)) (* y (+ (* -1 (* x z)) (+ (* x z) (* (pow x 2) y))))) |
(+ (* -1 (pow z 2)) (* y (+ (* -1 (* x z)) (+ (* x z) (* (pow x 2) y))))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (* x z) y) (pow x 2)))) |
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ (* x z) y) (pow x 2))))) |
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ (* x z) y) (pow x 2))))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (* x z)) y)) (pow x 2))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (+ (* x z) (/ (pow z 2) y))) y)) (pow x 2))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (+ (* x z) (/ (pow z 2) y))) y)) (pow x 2))) |
(* -1 (pow z 2)) |
(+ (* -1 (pow z 2)) (* x (+ (* -1 (* y z)) (* y z)))) |
(+ (* -1 (pow z 2)) (* x (+ (* -1 (* y z)) (+ (* x (pow y 2)) (* y z))))) |
(+ (* -1 (pow z 2)) (* x (+ (* -1 (* y z)) (+ (* x (pow y 2)) (* y z))))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (* -1 (/ (* y z) x)) (+ (/ (* y z) x) (pow y 2)))) |
(* (pow x 2) (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (+ (/ (* y z) x) (pow y 2))))) |
(* (pow x 2) (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (+ (/ (* y z) x) (pow y 2))))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* y z)) (* y z)) x)) (pow y 2))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* y z)) (+ (* y z) (/ (pow z 2) x))) x)) (pow y 2))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* y z)) (+ (* y z) (/ (pow z 2) x))) x)) (pow y 2))) |
(* (pow x 2) (pow y 2)) |
(+ (* z (+ (* -1 (* x y)) (* x y))) (* (pow x 2) (pow y 2))) |
(+ (* z (+ (* -1 z) (+ (* -1 (* x y)) (* x y)))) (* (pow x 2) (pow y 2))) |
(+ (* z (+ (* -1 z) (+ (* -1 (* x y)) (* x y)))) (* (pow x 2) (pow y 2))) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (+ (* -1 (/ (* x y) z)) (/ (* x y) z)) 1)) |
(* (pow z 2) (- (+ (* -1 (/ (* x y) z)) (+ (/ (* x y) z) (/ (* (pow x 2) (pow y 2)) (pow z 2)))) 1)) |
(* (pow z 2) (- (+ (* -1 (/ (* x y) z)) (+ (/ (* x y) z) (/ (* (pow x 2) (pow y 2)) (pow z 2)))) 1)) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) z)) 1)) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y))) z)) 1)) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y))) z)) 1)) |
(* 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))))) |
(* 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) |
(* -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)) |
| Outputs |
|---|
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.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))))) |
(neg.f64 (*.f64 (neg.f64 z) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(neg.f64 (*.f64 (neg.f64 z) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(neg.f64 (*.f64 (neg.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) |
(* 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) (/ (* 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) (/ (* 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)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(* x (sin y)) |
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(/.f64 (fma.f64 (sin.f64 y) (/.f64 x (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 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)) |
(/.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (*.f64 z (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) (neg.f64 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)) |
(neg.f64 (-.f64 (/.f64 (neg.f64 (neg.f64 (+.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 z (*.f64 z (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (/.f64 (*.f64 x (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z)) |
(fma.f64 x (/.f64 y (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) z)) |
(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)) |
(fma.f64 y (fma.f64 y (fma.f64 x (/.f64 x (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1/2 binary64) z)) (/.f64 x (*.f64 z (neg.f64 z)))) (/.f64 #s(literal 1 binary64) 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)) |
(fma.f64 y (fma.f64 y (fma.f64 x (/.f64 x (*.f64 z (*.f64 z z))) (fma.f64 (neg.f64 y) (fma.f64 (/.f64 x (*.f64 z z)) #s(literal 1/3 binary64) (/.f64 (*.f64 x (fma.f64 x (/.f64 x (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1/2 binary64) z))) z)) (/.f64 #s(literal 1/2 binary64) z))) (/.f64 x (*.f64 z (neg.f64 z)))) (/.f64 #s(literal 1 binary64) z)) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/ 1 (* z (cos y))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) |
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 z (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) |
(+ (* 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)))) |
(fma.f64 x (-.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 z z) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (/.f64 (sin.f64 y) (*.f64 z (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 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)))) |
(fma.f64 x (fma.f64 x (fma.f64 x (neg.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) (/.f64 (sin.f64 y) (neg.f64 (*.f64 z (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) |
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) (/.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) |
(/ (- (+ (/ 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) |
(/.f64 (-.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 (*.f64 z (cos.f64 y)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) 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) |
(/.f64 (-.f64 (fma.f64 (neg.f64 (*.f64 z (*.f64 z z))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (-.f64 (/.f64 (*.f64 z (cos.f64 y)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 z (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) x) |
(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) |
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x)) |
(/.f64 (fma.f64 z (/.f64 (cos.f64 y) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) |
(/.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 (*.f64 z (cos.f64 y)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) |
(neg.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 4 binary64))))) (/.f64 (*.f64 z (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (/.f64 (*.f64 z (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.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))))) |
(neg.f64 (*.f64 (neg.f64 z) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(neg.f64 (*.f64 (neg.f64 z) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(neg.f64 (*.f64 (neg.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 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.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))))) |
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 z (/.f64 (cos.f64 y) x) (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 y (*.f64 #s(literal -1/2 binary64) (*.f64 y z)) 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 (*.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) |
(* 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 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 (*.f64 y 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) |
(* -1/6 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (* x y)) |
(*.f64 y (*.f64 x #s(literal -1/6 binary64))) |
| 1× | batch-egg-rewrite |
| 5 290× | lower-fma.f32 |
| 5 280× | lower-fma.f64 |
| 4 736× | lower-*.f32 |
| 4 718× | lower-*.f64 |
| 4 598× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 310 |
| 0 | 71 | 291 |
| 1 | 275 | 238 |
| 2 | 1922 | 234 |
| 0 | 8585 | 221 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y))) |
(fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y)))) |
(*.f64 (sin.f64 y) x) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)))) |
(*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))) |
#s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z) |
(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) |
(fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))) |
(/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))) |
(*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y)))) |
#s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
(*.f64 (*.f64 x y) #s(literal -1/6 binary64)) |
| 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 (sin.f64 y) x) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) (*.f64 (sin.f64 y) x)) |
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 z (cos.f64 y) (*.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 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.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 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.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 y y))))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.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 (sin.f64 y) x) (*.f64 z (cos.f64 y))))) |
(-.f64 (/.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 (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 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.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 y y))))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) #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 y y))))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) #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 y y))))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (*.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 y y))))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (*.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 y y))))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.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 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 z (/.f64 (*.f64 (sin.f64 y) x) z) (*.f64 z (cos.f64 y))) |
(fma.f64 z (/.f64 (*.f64 (sin.f64 y) x) z) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(fma.f64 z (/.f64 (*.f64 (sin.f64 y) x) z) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 (sin.f64 y) x (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(fma.f64 (sin.f64 y) x (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 y) (*.f64 x #s(literal 1 binary64)) (*.f64 z (cos.f64 y))) |
(fma.f64 (sin.f64 y) (*.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(fma.f64 (sin.f64 y) (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 y) (*.f64 (/.f64 x z) z) (*.f64 z (cos.f64 y))) |
(fma.f64 (sin.f64 y) (*.f64 (/.f64 x z) z) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(fma.f64 (sin.f64 y) (*.f64 (/.f64 x z) z) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(fma.f64 x (sin.f64 y) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (sin.f64 y) #s(literal 1 binary64)) (*.f64 z (cos.f64 y))) |
(fma.f64 x (*.f64 (sin.f64 y) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(fma.f64 x (*.f64 (sin.f64 y) #s(literal 1 binary64)) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (/.f64 (sin.f64 y) z) z) (*.f64 z (cos.f64 y))) |
(fma.f64 x (*.f64 (/.f64 (sin.f64 y) z) z) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(fma.f64 x (*.f64 (/.f64 (sin.f64 y) z) z) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (sin.f64 y) x) z) (*.f64 z (cos.f64 y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (sin.f64 y) x) z) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (sin.f64 y) x) z) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(fma.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64) (*.f64 z (cos.f64 y))) |
(fma.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(fma.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (sin.f64 y) z) (*.f64 x z) (*.f64 z (cos.f64 y))) |
(fma.f64 (/.f64 (sin.f64 y) z) (*.f64 x z) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(fma.f64 (/.f64 (sin.f64 y) z) (*.f64 x z) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 (sin.f64 y) x) z) z (*.f64 z (cos.f64 y))) |
(fma.f64 (/.f64 (*.f64 (sin.f64 y) x) z) z (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(fma.f64 (/.f64 (*.f64 (sin.f64 y) x) z) z (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 z (sin.f64 y)) (/.f64 x z) (*.f64 z (cos.f64 y))) |
(fma.f64 (*.f64 z (sin.f64 y)) (/.f64 x z) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(fma.f64 (*.f64 z (sin.f64 y)) (/.f64 x z) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 z x) (/.f64 (sin.f64 y) z) (*.f64 z (cos.f64 y))) |
(fma.f64 (*.f64 z x) (/.f64 (sin.f64 y) z) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(fma.f64 (*.f64 z x) (/.f64 (sin.f64 y) z) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 z (/.f64 #s(literal 1 binary64) z)) (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))) |
(fma.f64 (*.f64 z (/.f64 #s(literal 1 binary64) z)) (*.f64 (sin.f64 y) x) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(fma.f64 (*.f64 z (/.f64 #s(literal 1 binary64) z)) (*.f64 (sin.f64 y) x) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 z (*.f64 (sin.f64 y) x)) (/.f64 #s(literal 1 binary64) z) (*.f64 z (cos.f64 y))) |
(fma.f64 (*.f64 z (*.f64 (sin.f64 y) x)) (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(fma.f64 (*.f64 z (*.f64 (sin.f64 y) x)) (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 z (/.f64 (sin.f64 y) z)) x (*.f64 z (cos.f64 y))) |
(fma.f64 (*.f64 z (/.f64 (sin.f64 y) z)) x (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(fma.f64 (*.f64 z (/.f64 (sin.f64 y) z)) x (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 z z) (/.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) (*.f64 z (cos.f64 y))) |
(fma.f64 (/.f64 z z) (/.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(fma.f64 (/.f64 z z) (/.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))) |
(neg.f64 (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.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) (/.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 y y)))) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #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 y y)))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #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 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 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) x) (*.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 #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 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))) (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #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 y y)))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))) (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.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 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 (*.f64 (sin.f64 y) x) (*.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))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (*.f64 (sin.f64 y) x) z)) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 z z))) (*.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (sin.f64 y) x) z) (cos.f64 y)) (*.f64 z (-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.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) (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (*.f64 (sin.f64 y) x) z)) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 z z))) (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (sin.f64 y) x) z) (cos.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 z z)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z))) |
(/.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(/.f64 (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 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 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #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)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #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 y y)))) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))))) |
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(/.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 (sin.f64 y) x))) |
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(*.f64 (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z)))) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))) (/.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))) (/.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))) (*.f64 (/.f64 (fma.f64 y x z) (fma.f64 z (fma.f64 y x z) (*.f64 (*.f64 y x) (*.f64 y x)))) #s(literal 1 binary64))) (/.f64 (fma.f64 y x z) (fma.f64 z (fma.f64 y x z) (*.f64 (*.f64 y x) (*.f64 y x))))) |
(*.f64 (/.f64 (fma.f64 y x z) (/.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))) (fma.f64 y x z)) |
(exp.f64 (log.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
(/.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
(/.f64 (neg.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) #s(literal -1 binary64)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) |
(*.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (log.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) #s(literal -1 binary64)) |
(pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
(/.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
(/.f64 (neg.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) #s(literal -1 binary64)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) |
(*.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
(*.f64 y (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 x (*.f64 y #s(literal -1/6 binary64))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y x)) |
(*.f64 (*.f64 y x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 y #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) y) |
Compiled 44 772 to 2 861 computations (93.6% saved)
59 alts after pruning (51 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 552 | 20 | 1 572 |
| Fresh | 10 | 31 | 41 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 564 | 59 | 1 623 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
| 20.9% | (/.f64 #s(approx (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (*.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (pow.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) | |
| ✓ | 63.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y))))) |
| 38.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 x (sin.f64 y))))) | |
| 35.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 (fma.f64 (neg.f64 z) (/.f64 (cos.f64 y) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x))) | |
| 42.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 #s(literal 1 binary64) z))) | |
| 53.9% | (+.f64 #s(approx (* x (sin y)) (*.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))) (*.f64 z (cos.f64 y))) | |
| 45.5% | (*.f64 (-.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))) | |
| 62.9% | #s(approx (/ (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) (/.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))) | |
| 27.8% | #s(approx (/ (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) (*.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)))) | |
| 51.0% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) (*.f64 y y) (fma.f64 y x z))) | |
| 51.7% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) | |
| 51.4% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x))) z)) | |
| 40.5% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y #s(approx (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x) (*.f64 #s(literal -1/2 binary64) (*.f64 y z))) z)) | |
| 86.7% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y))))) | |
| 68.5% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) #s(approx (cos y) #s(literal 1 binary64))))) | |
| 68.5% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(approx (cos y) #s(literal 1 binary64))))) | |
| 56.1% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (/.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 z z)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (/.f64 (*.f64 (sin.f64 y) x) z) (cos.f64 y))))) | |
| 46.6% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* (* (sin y) x) (/ 1 z)) (cos y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64))))) | |
| 29.4% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* (* (sin y) x) (/ 1 z)) (cos y)) (/.f64 (*.f64 x (sin.f64 y)) z)))) | |
| 90.4% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* (* (sin y) x) (/ 1 z)) (cos y)) (*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))))) | |
| ✓ | 42.1% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)))) |
| 83.2% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))) | |
| 38.6% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 x (sin.f64 y))) | |
| 46.2% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (fma.f64 z (fma.f64 y (/.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) z) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z))) | |
| 5.9% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 (-.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y)) y)) (neg.f64 (*.f64 y (*.f64 y y)))))) | |
| 2.9% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)))))) | |
| 14.1% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)))) | |
| 28.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 (*.f64 y x) x) #s(literal 1 binary64)) (/.f64 y (-.f64 (*.f64 y x) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z))))) | |
| 21.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z))))) | |
| ✓ | 52.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 17.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))))) | |
| 52.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 y x (neg.f64 z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z)))))) | |
| 26.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))))))) | |
| ✓ | 26.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))) |
| 26.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))))))) | |
| 9.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (fma.f64 z (/.f64 z y) #s(literal 0 binary64)) y))))))) | |
| 6.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 x (*.f64 x (*.f64 y y))))))) | |
| 25.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))))))) | |
| 9.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) #s(approx (/ (+ (* y x) z) (* (+ (* y x) z) (- (* y x) z))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))) | |
| 9.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (fma.f64 z (/.f64 z y) #s(literal 0 binary64)) y)))) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))) | |
| 22.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) | |
| 11.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 y (*.f64 y (fma.f64 z (/.f64 z (*.f64 y (neg.f64 y))) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) | |
| 8.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) | |
| ✓ | 63.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
| 40.3% | #s(approx (+ (* x (sin y)) (* z (cos 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))))) | |
| 46.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z))) | |
| 7.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 0 binary64)) (-.f64 (*.f64 y x) #s(literal 0 binary64))))) | |
| 14.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))))) | |
| 51.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (neg.f64 z)))) | |
| 51.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (neg.f64 z)))) | |
| 47.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 z)))) | |
| 51.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z)))) (neg.f64 z)))) | |
| 39.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y))))) | |
| 44.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x))))) | |
| ✓ | 14.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| 40.5% | #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))) | |
| 40.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)) z))) |
Compiled 3 087 to 977 computations (68.4% 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 (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (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))) #s(approx (* z (cos y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)) z))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y #s(approx (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x) (*.f64 #s(literal -1/2 binary64) (*.f64 y z))) 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 (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))))) |
#s(approx (+ (* x (sin y)) (* z (cos 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))))) |
#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 (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* (* (sin y) x) (/ 1 z)) (cos y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) (*.f64 y y) (fma.f64 y x z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 0 binary64)) (-.f64 (*.f64 y x) #s(literal 0 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))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) #s(approx (/ 1 (- (* y x) z)) (/.f64 #s(literal 1 binary64) (*.f64 x y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) #s(approx (/ (+ (* y x) z) (* (+ (* y x) z) (- (* y x) z))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))) |
#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 (*.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 (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 y x (neg.f64 z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z)))) (neg.f64 z)))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (fma.f64 z (fma.f64 y (/.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) z) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x))) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 (-.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y)) y)) (neg.f64 (*.f64 y (*.f64 y y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 x (*.f64 x (*.f64 y y))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 y (*.f64 y (fma.f64 z (/.f64 z (*.f64 y (neg.f64 y))) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x z) (fma.f64 y (neg.f64 x) z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 z)) (fma.f64 x (/.f64 y (neg.f64 z)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 (*.f64 y x) x) #s(literal 1 binary64)) (/.f64 y (-.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))))) (fma.f64 z (-.f64 z (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (fma.f64 z (/.f64 z y) #s(literal 0 binary64)) y)))) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (fma.f64 z (/.f64 z y) #s(literal 0 binary64)) y))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 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))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 x (sin.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (/.f64 (*.f64 x (sin.f64 y)) z)))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* (* (sin y) x) (/ 1 z)) (cos y)) (/.f64 (*.f64 x (sin.f64 y)) z)))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(approx (cos y) #s(literal 1 binary64))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) #s(approx (cos y) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 x (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.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 #s(approx (* x (sin y)) (*.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))) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) (cos.f64 y)))) |
#s(approx (/ (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) (/.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(approx (/ (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) (*.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* (* (sin y) x) (/ 1 z)) (cos y)) (*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y))))) |
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 (fma.f64 x (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 (fma.f64 (neg.f64 z) (/.f64 (cos.f64 y) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (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 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 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))) |
(*.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))))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (/.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 z z)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (/.f64 (*.f64 (sin.f64 y) x) z) (cos.f64 y))))) |
(/.f64 #s(approx (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (*.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 z z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (pow.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) |
#s(approx (/ (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) (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 (*.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))))) |
(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))))))) |
(/.f64 (-.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 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 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) |
(*.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)))) |
#s(approx (/ (- (* (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (- (* z (cos y)) (* x (sin y)))) (* (- (* z (cos y)) (* x (sin y))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))) (pow (- (* z (cos y)) (* x (sin y))) 2)) (*.f64 z (+.f64 (/.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))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 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))))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
4 calls:
| 29.0ms | z |
| 27.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 27.0ms | x |
| 26.0ms | 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 (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (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))) #s(approx (* z (cos y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)) z))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y #s(approx (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x) (*.f64 #s(literal -1/2 binary64) (*.f64 y z))) 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 (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))))) |
#s(approx (+ (* x (sin y)) (* z (cos 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))))) |
#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 (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* (* (sin y) x) (/ 1 z)) (cos y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) (*.f64 y y) (fma.f64 y x z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 0 binary64)) (-.f64 (*.f64 y x) #s(literal 0 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))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) #s(approx (/ 1 (- (* y x) z)) (/.f64 #s(literal 1 binary64) (*.f64 x y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) #s(approx (/ (+ (* y x) z) (* (+ (* y x) z) (- (* y x) z))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))) |
#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 (*.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 (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 y x (neg.f64 z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z)))) (neg.f64 z)))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (fma.f64 z (fma.f64 y (/.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) z) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x))) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 (-.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y)) y)) (neg.f64 (*.f64 y (*.f64 y y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 x (*.f64 x (*.f64 y y))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 y (*.f64 y (fma.f64 z (/.f64 z (*.f64 y (neg.f64 y))) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x z) (fma.f64 y (neg.f64 x) z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 z)) (fma.f64 x (/.f64 y (neg.f64 z)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 (*.f64 y x) x) #s(literal 1 binary64)) (/.f64 y (-.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))))) (fma.f64 z (-.f64 z (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (fma.f64 z (/.f64 z y) #s(literal 0 binary64)) y)))) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (fma.f64 z (/.f64 z y) #s(literal 0 binary64)) y))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 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))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 x (sin.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (/.f64 (*.f64 x (sin.f64 y)) z)))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* (* (sin y) x) (/ 1 z)) (cos y)) (/.f64 (*.f64 x (sin.f64 y)) z)))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(approx (cos y) #s(literal 1 binary64))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) #s(approx (cos y) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 x (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.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 #s(approx (* x (sin y)) (*.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))) (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) #s(approx (cos y) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) #s(approx (cos y) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
4 calls:
| 27.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 19.0ms | x |
| 19.0ms | y |
| 19.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.4% | 4 | x |
| 82.0% | 5 | y |
| 85.9% | 5 | z |
| 74.2% | 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 (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (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))) #s(approx (* z (cos y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)) z))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y #s(approx (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x) (*.f64 #s(literal -1/2 binary64) (*.f64 y z))) 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 (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))))) |
#s(approx (+ (* x (sin y)) (* z (cos 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))))) |
#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 (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* (* (sin y) x) (/ 1 z)) (cos y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) (*.f64 y y) (fma.f64 y x z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 0 binary64)) (-.f64 (*.f64 y x) #s(literal 0 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))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) #s(approx (/ 1 (- (* y x) z)) (/.f64 #s(literal 1 binary64) (*.f64 x y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) #s(approx (/ (+ (* y x) z) (* (+ (* y x) z) (- (* y x) z))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))) |
#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 (*.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 (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 y x (neg.f64 z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z)))) (neg.f64 z)))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (fma.f64 z (fma.f64 y (/.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) z) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x))) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 (-.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y)) y)) (neg.f64 (*.f64 y (*.f64 y y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 x (*.f64 x (*.f64 y y))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 y (*.f64 y (fma.f64 z (/.f64 z (*.f64 y (neg.f64 y))) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x z) (fma.f64 y (neg.f64 x) z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 z)) (fma.f64 x (/.f64 y (neg.f64 z)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 (*.f64 y x) x) #s(literal 1 binary64)) (/.f64 y (-.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))))) (fma.f64 z (-.f64 z (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (fma.f64 z (/.f64 z y) #s(literal 0 binary64)) y)))) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (fma.f64 z (/.f64 z y) #s(literal 0 binary64)) y))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 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))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 x (sin.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (/.f64 (*.f64 x (sin.f64 y)) z)))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* (* (sin y) x) (/ 1 z)) (cos y)) (/.f64 (*.f64 x (sin.f64 y)) z)))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(approx (cos y) #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(approx (cos y) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(approx (cos y) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
1 calls:
| 19.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.9% | 5 | z |
Compiled 4 to 3 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 (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (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))) #s(approx (* z (cos y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)) z))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y #s(approx (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x) (*.f64 #s(literal -1/2 binary64) (*.f64 y z))) 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 (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))))) |
#s(approx (+ (* x (sin y)) (* z (cos 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))))) |
#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 (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* (* (sin y) x) (/ 1 z)) (cos y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) (*.f64 y y) (fma.f64 y x z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 0 binary64)) (-.f64 (*.f64 y x) #s(literal 0 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))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) #s(approx (/ 1 (- (* y x) z)) (/.f64 #s(literal 1 binary64) (*.f64 x y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) #s(approx (/ (+ (* y x) z) (* (+ (* y x) z) (- (* y x) z))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))) |
#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 (*.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 (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 y x (neg.f64 z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z)))) (neg.f64 z)))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (fma.f64 z (fma.f64 y (/.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) z) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x))) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 (-.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y)) y)) (neg.f64 (*.f64 y (*.f64 y y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 x (*.f64 x (*.f64 y y))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 y (*.f64 y (fma.f64 z (/.f64 z (*.f64 y (neg.f64 y))) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x z) (fma.f64 y (neg.f64 x) z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 z)) (fma.f64 x (/.f64 y (neg.f64 z)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 (*.f64 y x) x) #s(literal 1 binary64)) (/.f64 y (-.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))))) (fma.f64 z (-.f64 z (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (fma.f64 z (/.f64 z y) #s(literal 0 binary64)) y)))) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (fma.f64 z (/.f64 z y) #s(literal 0 binary64)) y))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 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))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 x (sin.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (/.f64 (*.f64 x (sin.f64 y)) z)))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* (* (sin y) x) (/ 1 z)) (cos y)) (/.f64 (*.f64 x (sin.f64 y)) z)))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
2 calls:
| 19.0ms | x |
| 18.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.4% | 3 | x |
| 79.6% | 3 | z |
Compiled 8 to 6 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 (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (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))) #s(approx (* z (cos y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)) z))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y #s(approx (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x) (*.f64 #s(literal -1/2 binary64) (*.f64 y z))) 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 (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))))) |
#s(approx (+ (* x (sin y)) (* z (cos 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))))) |
#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 (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* (* (sin y) x) (/ 1 z)) (cos y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) (*.f64 y y) (fma.f64 y x z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 0 binary64)) (-.f64 (*.f64 y x) #s(literal 0 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))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) #s(approx (/ 1 (- (* y x) z)) (/.f64 #s(literal 1 binary64) (*.f64 x y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) #s(approx (/ (+ (* y x) z) (* (+ (* y x) z) (- (* y x) z))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))) |
#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 (*.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 (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 y x (neg.f64 z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z)))) (neg.f64 z)))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (fma.f64 z (fma.f64 y (/.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) z) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x))) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 (-.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y)) y)) (neg.f64 (*.f64 y (*.f64 y y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 x (*.f64 x (*.f64 y y))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 y (*.f64 y (fma.f64 z (/.f64 z (*.f64 y (neg.f64 y))) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x z) (fma.f64 y (neg.f64 x) z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 z)) (fma.f64 x (/.f64 y (neg.f64 z)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 (*.f64 y x) x) #s(literal 1 binary64)) (/.f64 y (-.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))))) (fma.f64 z (-.f64 z (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (fma.f64 z (/.f64 z y) #s(literal 0 binary64)) y)))) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (fma.f64 z (/.f64 z y) #s(literal 0 binary64)) y))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))))))) |
#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))) |
#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 (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) |
3 calls:
| 18.0ms | z |
| 18.0ms | y |
| 17.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.0% | 3 | x |
| 76.1% | 3 | y |
| 61.7% | 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 (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (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))) #s(approx (* z (cos y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)) z))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y #s(approx (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x) (*.f64 #s(literal -1/2 binary64) (*.f64 y z))) 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 (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))))) |
#s(approx (+ (* x (sin y)) (* z (cos 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))))) |
#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 (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* (* (sin y) x) (/ 1 z)) (cos y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) (*.f64 y y) (fma.f64 y x z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 0 binary64)) (-.f64 (*.f64 y x) #s(literal 0 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))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) #s(approx (/ 1 (- (* y x) z)) (/.f64 #s(literal 1 binary64) (*.f64 x y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) #s(approx (/ (+ (* y x) z) (* (+ (* y x) z) (- (* y x) z))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))) |
#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 (*.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 (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 y x (neg.f64 z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z)))) (neg.f64 z)))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (fma.f64 z (fma.f64 y (/.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) z) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x))) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) #s(approx (+ (* y (+ (* y (+ (* z -1/2) (* (* x y) -1/6))) x)) z) (*.f64 (-.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y)) y)) (neg.f64 (*.f64 y (*.f64 y y)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 x (*.f64 x (*.f64 y y))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z)))) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 y (*.f64 y (fma.f64 z (/.f64 z (*.f64 y (neg.f64 y))) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x z) (fma.f64 y (neg.f64 x) z)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (fma.f64 y x (neg.f64 z))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 z)) (fma.f64 x (/.f64 y (neg.f64 z)) #s(literal 1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 (*.f64 y x) x) #s(literal 1 binary64)) (/.f64 y (-.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))))) (fma.f64 z (-.f64 z (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (fma.f64 z (/.f64 z y) #s(literal 0 binary64)) y)))) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) #s(approx (* (+ (* y x) z) (- (* y x) z)) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (fma.f64 z (/.f64 z y) #s(literal 0 binary64)) y))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (/.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 y x z) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 z))))))))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
4 calls:
| 45.0ms | x |
| 31.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 16.0ms | y |
| 16.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.9% | 1 | z |
| 52.9% | 1 | x |
| 52.9% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 52.9% | 1 | 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 (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z #s(approx (+ (* x (/ (sin y) z)) (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))) |
4 calls:
| 3.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.1% | 1 | z |
| 44.0% | 2 | x |
| 42.1% | 1 | y |
| 42.1% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
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 | y |
| 1.0ms | z |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 14.2% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 14.2% | 1 | z |
| 14.2% | 1 | y |
| 14.2% | 1 | x |
Compiled 24 to 17 computations (29.2% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 8.874354396432282e-42 | 1.5057778930234676e-39 |
| 21.0ms | 3.889949883504548e-257 | 1.9621768857508252e-254 |
| 15.0ms | -1.6112624313083303e-258 | -6.250160717623075e-262 |
| 23.0ms | -4.5227290887991624e+85 | -8.703957287027335e+74 |
| 56.0ms | 528× | 0 | valid |
Compiled 873 to 542 computations (37.9% saved)
ival-cos: 13.0ms (34.6% of total)ival-sin: 13.0ms (34.6% of total)ival-mult: 7.0ms (18.6% of total)ival-add: 3.0ms (8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 8.874354396432282e-42 | 1.5057778930234676e-39 |
| 1.0ms | 3.889949883504548e-257 | 1.9621768857508252e-254 |
| 1.0ms | -1.6112624313083303e-258 | -6.250160717623075e-262 |
| 2.0ms | -4.5227290887991624e+85 | -8.703957287027335e+74 |
Compiled 807 to 509 computations (36.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 8.874354396432282e-42 | 1.5057778930234676e-39 |
| 31.0ms | -1.9744838007842066e-76 | -4.2504885217522744e-82 |
| 34.0ms | 240× | 0 | valid |
Compiled 303 to 206 computations (32% saved)
ival-mult: 17.0ms (60.6% of total)ival-sin: 5.0ms (17.8% of total)ival-cos: 4.0ms (14.3% of total)ival-add: 1.0ms (3.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 9.215677070676279e-26 | 3.6132119530980317e-22 |
| 41.0ms | -0.4733828938405597 | -0.006153813508258021 |
| 44.0ms | 240× | 0 | valid |
Compiled 360 to 224 computations (37.8% saved)
ival-mult: 33.0ms (85.9% of total)ival-cos: 2.0ms (5.2% of total)ival-sin: 2.0ms (5.2% of total)ival-add: 1.0ms (2.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 4.1217776730886853e+226 | 2.319576369591369e+229 |
| 10.0ms | 128× | 0 | valid |
Compiled 159 to 102 computations (35.8% saved)
ival-sin: 3.0ms (42.2% of total)ival-cos: 2.0ms (28.1% of total)ival-mult: 2.0ms (28.1% of total)ival-add: 1.0ms (14.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 14× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 409 |
| 1 | 84 | 409 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
(if (<=.f64 z #s(literal -1059999999999999966322964264192303436323288947493407529858987533993987014656 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal -7616908286351531/34622310392506957584946940144288832324819178359103260074178033026772100877957520390515409281853501465865381150278099185099233529659567999369251322492547208112268029722558797196081988742442283240850996127872528443254245182193766350116513179157596502523218400437714157458948096 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) #s(approx (cos y) #s(literal 1 binary64))))) (if (<=.f64 z #s(literal 8347053591943511/2113178124542660985409359139666066426075389304144486088511842836106695610226899437897669023550628751578697579973028514715529390238010742149002155913851758307633546735996020336674926070705705764212096931632844753616592113171006246955353587595068145905958154323590951993344 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) (if (<=.f64 z #s(literal 5149185017309387/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) #s(approx (cos y) #s(literal 1 binary64))))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))))) |
(if (<=.f64 z #s(literal -1059999999999999966322964264192303436323288947493407529858987533993987014656 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal -7616908286351531/34622310392506957584946940144288832324819178359103260074178033026772100877957520390515409281853501465865381150278099185099233529659567999369251322492547208112268029722558797196081988742442283240850996127872528443254245182193766350116513179157596502523218400437714157458948096 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(approx (cos y) #s(literal 1 binary64))))) (if (<=.f64 z #s(literal 8347053591943511/2113178124542660985409359139666066426075389304144486088511842836106695610226899437897669023550628751578697579973028514715529390238010742149002155913851758307633546735996020336674926070705705764212096931632844753616592113171006246955353587595068145905958154323590951993344 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) (if (<=.f64 z #s(literal 5149185017309387/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(approx (cos y) #s(literal 1 binary64))))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))))) |
(if (<=.f64 z #s(literal -4912770182618093/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 3432790011539591/196159429230833773869868419475239575503198607639501078528 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 -3098476543630901/144115188075855872 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 7656353255721115/21267647932558653966460912964485513216 binary64)) #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 (+ (* 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 x #s(literal 1060000000000000014241304169570614926847931233515479524838147868974606585696383098052599728063042429136532563742706181564393095362369927183966288407465294196195757682722760920708035730042630788930982125620681321213983625203154944 binary64)) #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 x y))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
(if (<=.f64 z #s(literal -1059999999999999966322964264192303436323288947493407529858987533993987014656 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal -7616908286351531/34622310392506957584946940144288832324819178359103260074178033026772100877957520390515409281853501465865381150278099185099233529659567999369251322492547208112268029722558797196081988742442283240850996127872528443254245182193766350116513179157596502523218400437714157458948096 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) #s(approx (cos y) #s(literal 1 binary64))))) (if (<=.f64 z #s(literal 8347053591943511/2113178124542660985409359139666066426075389304144486088511842836106695610226899437897669023550628751578697579973028514715529390238010742149002155913851758307633546735996020336674926070705705764212096931632844753616592113171006246955353587595068145905958154323590951993344 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) (if (<=.f64 z #s(literal 5149185017309387/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) z) #s(approx (cos y) #s(literal 1 binary64))))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))))) |
(if (<=.f64 z #s(literal -1059999999999999966322964264192303436323288947493407529858987533993987014656 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal -7616908286351531/34622310392506957584946940144288832324819178359103260074178033026772100877957520390515409281853501465865381150278099185099233529659567999369251322492547208112268029722558797196081988742442283240850996127872528443254245182193766350116513179157596502523218400437714157458948096 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) z) #s(approx (cos y) #s(literal 1 binary64))))) (if (<=.f64 z #s(literal 8347053591943511/2113178124542660985409359139666066426075389304144486088511842836106695610226899437897669023550628751578697579973028514715529390238010742149002155913851758307633546735996020336674926070705705764212096931632844753616592113171006246955353587595068145905958154323590951993344 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) (if (<=.f64 z #s(literal 5149185017309387/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 (*.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) z) #s(approx (cos y) #s(literal 1 binary64))))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))))) |
(if (<=.f64 z #s(literal -1059999999999999966322964264192303436323288947493407529858987533993987014656 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal -7616908286351531/34622310392506957584946940144288832324819178359103260074178033026772100877957520390515409281853501465865381150278099185099233529659567999369251322492547208112268029722558797196081988742442283240850996127872528443254245182193766350116513179157596502523218400437714157458948096 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(approx (cos y) #s(literal 1 binary64))))) (if (<=.f64 z #s(literal 8347053591943511/2113178124542660985409359139666066426075389304144486088511842836106695610226899437897669023550628751578697579973028514715529390238010742149002155913851758307633546735996020336674926070705705764212096931632844753616592113171006246955353587595068145905958154323590951993344 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) (if (<=.f64 z #s(literal 5149185017309387/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(approx (cos y) #s(literal 1 binary64))))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))))) |
(if (<=.f64 z #s(literal -1059999999999999966322964264192303436323288947493407529858987533993987014656 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal -7616908286351531/34622310392506957584946940144288832324819178359103260074178033026772100877957520390515409281853501465865381150278099185099233529659567999369251322492547208112268029722558797196081988742442283240850996127872528443254245182193766350116513179157596502523218400437714157458948096 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(approx (cos y) #s(literal 1 binary64))))) (if (<=.f64 z #s(literal 8347053591943511/2113178124542660985409359139666066426075389304144486088511842836106695610226899437897669023550628751578697579973028514715529390238010742149002155913851758307633546735996020336674926070705705764212096931632844753616592113171006246955353587595068145905958154323590951993344 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) (if (<=.f64 z #s(literal 5149185017309387/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(approx (cos y) #s(literal 1 binary64))))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))))) |
(if (<=.f64 z #s(literal -4912770182618093/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 3432790011539591/196159429230833773869868419475239575503198607639501078528 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 z #s(literal -4912770182618093/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 3432790011539591/196159429230833773869868419475239575503198607639501078528 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (<=.f64 y #s(literal -3098476543630901/144115188075855872 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 7656353255721115/21267647932558653966460912964485513216 binary64)) #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 (+ (* 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 x #s(literal 1060000000000000014241304169570614926847931233515479524838147868974606585696383098052599728063042429136532563742706181564393095362369927183966288407465294196195757682722760920708035730042630788930982125620681321213983625203154944 binary64)) #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)))) |
(if (<=.f64 x #s(literal 1060000000000000014241304169570614926847931233515479524838147868974606585696383098052599728063042429136532563742706181564393095362369927183966288407465294196195757682722760920708035730042630788930982125620681321213983625203154944 binary64)) #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 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))) |
| 12 858× | lower-fma.f64 |
| 12 858× | lower-fma.f32 |
| 11 480× | lower-fma.f64 |
| 11 480× | lower-fma.f32 |
| 11 462× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 680 | 7651 |
| 1 | 2262 | 7317 |
| 2 | 7723 | 7303 |
| 0 | 8033 | 6756 |
| 0 | 433 | 5194 |
| 1 | 1392 | 5008 |
| 2 | 4342 | 4900 |
| 0 | 8221 | 4554 |
| 0 | 40 | 215 |
| 0 | 63 | 191 |
| 1 | 214 | 178 |
| 2 | 1342 | 178 |
| 0 | 8434 | 178 |
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 29 | 21 |
| 2 | 185 | 21 |
| 3 | 1836 | 21 |
| 0 | 8391 | 20 |
| 0 | 833 | 8553 |
| 1 | 2926 | 7980 |
| 0 | 8800 | 7557 |
| 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× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 460 to 201 computations (56.3% saved)
Compiled 416 to 122 computations (70.7% saved)
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