
Time bar (total: 11.8s)
| 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)
| 1.2s | 8 256× | 0 | valid |
ival-mult: 425.0ms (49.3% of total)ival-cos: 215.0ms (24.9% of total)ival-sin: 176.0ms (20.4% of total)ival-add: 38.0ms (4.4% of total)ival-true: 6.0ms (0.7% of total)ival-assert: 3.0ms (0.3% of total)| 1× | egg-herbie |
| 162× | associate-*r* |
| 160× | unsub-neg |
| 146× | associate-*l* |
| 132× | distribute-lft-neg-in |
| 106× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 87 |
| 1 | 79 | 81 |
| 2 | 139 | 81 |
| 3 | 307 | 81 |
| 4 | 458 | 81 |
| 5 | 688 | 81 |
| 6 | 861 | 81 |
| 7 | 947 | 81 |
| 8 | 1025 | 81 |
| 9 | 1091 | 81 |
| 10 | 1105 | 81 |
| 11 | 1110 | 81 |
| 12 | 1112 | 81 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 16 | 9 |
| 0 | 16 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x (cos.f64 y)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 z (sin.f64 y)) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 402.0ms | 512× | 0 | valid |
Compiled 76 to 36 computations (52.6% saved)
ival-cos: 43.0ms (67.5% of total)ival-sin: 12.0ms (18.8% of total)ival-mult: 7.0ms (11% of total)ival-add: 2.0ms (3.1% 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 (cos.f64 y)) (*.f64 z (sin.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 (sin.f64 y)) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 x (cos.f64 y)) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 8× | lower-fma.f64 |
| 8× | lower-fma.f32 |
| 8× | lower-*.f32 |
| 4× | *-commutative |
| 4× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 16 | 24 |
| 0 | 16 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
| Outputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ✓ | accuracy | 99.8% | (*.f64 x (cos.f64 y)) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| 23.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-cos: 6.0ms (38.9% of total)ival-sin: 5.0ms (32.4% of total)ival-mult: 3.0ms (19.5% of total)ival-add: 1.0ms (6.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))> |
#<alt (*.f64 x (cos.f64 y))> |
#<alt (cos.f64 y)> |
#<alt (*.f64 z (sin.f64 y))> |
| Outputs |
|---|
#<alt (* z (sin y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt x> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))> |
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (sin y))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt x> |
#<alt (+ x (* -1/2 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* y z)> |
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | 0 | (+ (* x (cos y)) (* z (sin y))) |
| 1.0ms | x | @ | 0 | (+ (* x (cos y)) (* z (sin y))) |
| 1.0ms | z | @ | inf | (+ (* x (cos y)) (* z (sin y))) |
| 1.0ms | z | @ | 0 | (+ (* x (cos y)) (* z (sin y))) |
| 0.0ms | y | @ | -inf | (+ (* x (cos y)) (* z (sin y))) |
| 1× | egg-herbie |
| 14 080× | lower-fma.f64 |
| 14 080× | lower-fma.f32 |
| 3 812× | lower-*.f64 |
| 3 812× | lower-*.f32 |
| 2 968× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 620 |
| 1 | 295 | 616 |
| 2 | 892 | 610 |
| 3 | 2078 | 604 |
| 4 | 3746 | 604 |
| 5 | 6389 | 604 |
| 0 | 8805 | 554 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
x |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (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 (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)) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
| Outputs |
|---|
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
x |
(+ x (* y z)) |
(fma.f64 z y x) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
x |
(+ x (* -1/2 (* x (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) x) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 z (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) z)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
| 1× | batch-egg-rewrite |
| 11 480× | lower-fma.f64 |
| 11 480× | lower-fma.f32 |
| 4 168× | lower-*.f32 |
| 4 164× | lower-*.f64 |
| 4 068× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 29 | 19 |
| 2 | 185 | 19 |
| 3 | 1836 | 19 |
| 0 | 8386 | 18 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
| Outputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (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 (sin.f64 y)) (*.f64 x (cos.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 (sin.f64 y)) (*.f64 x (cos.f64 y)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) #s(literal -1 binary64))) |
(-.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.f64 y)))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (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 (sin.f64 y)) (*.f64 x (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 (sin.f64 y)) (*.f64 x (cos.f64 y))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (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 (cos.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (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 (cos.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (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 (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (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 (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.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 (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 y) (neg.f64 x) (*.f64 z (sin.f64 y)))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 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 (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 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 (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) #s(literal 4 binary64))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (sin.f64 y)) #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.f64 y)))) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.f64 y)))))))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.f64 y))))))) |
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) (/.f64 (*.f64 x (*.f64 x (cos.f64 y))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.f64 y))))))) |
(fma.f64 (*.f64 x (cos.f64 y)) (/.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.f64 y))))))) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) |
(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 x (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.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))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.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 (sin.f64 y)) (*.f64 x (cos.f64 y)))))) |
(fma.f64 #s(literal 1 binary64) (*.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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.f64 y))))))) |
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(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) #s(literal 4 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.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 (cos.f64 y)) #s(literal 4 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (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 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 (sin.f64 y)) (*.f64 x (cos.f64 y))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.f64 y)))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (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 (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (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 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (sin.f64 y)) (*.f64 x (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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.f64 y)))))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 9 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 (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 x (*.f64 z (sin.f64 y)))) #s(literal 3 binary64)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 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 (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) #s(literal 4 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (-.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.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 (cos.f64 y)) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.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 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (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 (*.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 (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.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 (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(*.f64 (pow.f64 (/.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 (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 x (*.f64 z (sin.f64 y)))) #s(literal 3 binary64)))))) |
(*.f64 (pow.f64 (/.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 (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.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 (cos.f64 y)) #s(literal 4 binary64))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.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 (cos.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64))) |
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (pow.f64 x #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 x #s(literal 1 binary64))) |
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (cos.f64 y)))) |
(cos.f64 y) |
(exp.f64 (log.f64 (*.f64 z (sin.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 z (sin.f64 y)))) |
(neg.f64 (neg.f64 (*.f64 z (sin.f64 y)))) |
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 z (sin.f64 y)))) |
(*.f64 (pow.f64 z #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 z #s(literal 1 binary64))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 z))) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (sin.f64 y)))) |
Compiled 10 060 to 552 computations (94.5% saved)
20 alts after pruning (20 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 250 | 20 | 270 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 251 | 20 | 271 |
| Status | Accuracy | Program |
|---|---|---|
| 40.5% | (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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.f64 y))))))) | |
| 62.3% | (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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.f64 y))))))) | |
| 40.5% | (fma.f64 (*.f64 x (*.f64 x (cos.f64 y))) (/.f64 (cos.f64 y) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.f64 y))))))) | |
| 99.8% | (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) | |
| ▶ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
| 16.9% | (/.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 (*.f64 x (cos.f64 y)) (*.f64 z (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 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) | |
| 40.4% | (/.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 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) | |
| 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) | |
| ▶ | 48.3% | (+.f64 (*.f64 x (cos.f64 y)) (exp.f64 (log.f64 (*.f64 z (sin.f64 y))))) |
| ▶ | 54.5% | (+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
| 56.5% | (+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) | |
| 63.9% | (+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) | |
| 53.9% | (+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) z)))) | |
| 76.1% | (+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| 40.4% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (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 z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) | |
| ▶ | 52.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
| 50.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)) | |
| 50.3% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)) | |
| ▶ | 42.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) |
| 57.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
Compiled 1 004 to 498 computations (50.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 x (cos.f64 y)) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 x (cos.f64 y)) (exp.f64 (log.f64 (*.f64 z (sin.f64 y))))) |
| ✓ | cost-diff | 12800 | (exp.f64 (log.f64 (*.f64 z (sin.f64 y)))) |
| ✓ | cost-diff | 0 | #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 x (cos.f64 y)) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 z (sin.f64 y)) |
| ✓ | cost-diff | 0 | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) |
| ✓ | cost-diff | 0 | (fma.f64 z y x) |
| ✓ | cost-diff | 0 | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 z (sin.f64 y)) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
| 992× | lower-fma.f32 |
| 984× | lower-fma.f64 |
| 732× | lower-*.f32 |
| 720× | lower-*.f64 |
| 556× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 200 |
| 0 | 50 | 183 |
| 1 | 74 | 183 |
| 2 | 106 | 183 |
| 3 | 252 | 183 |
| 4 | 679 | 183 |
| 5 | 1067 | 183 |
| 6 | 1100 | 183 |
| 7 | 1260 | 183 |
| 8 | 1260 | 183 |
| 9 | 1260 | 183 |
| 0 | 1260 | 182 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
(cos.f64 y) |
y |
x |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(fma.f64 z y x) |
z |
y |
x |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
#s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) |
(*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
z |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(*.f64 y #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 y (*.f64 y y)) |
(*.f64 y y) |
(+.f64 (*.f64 x (cos.f64 y)) (exp.f64 (log.f64 (*.f64 z (sin.f64 y))))) |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(exp.f64 (log.f64 (*.f64 z (sin.f64 y)))) |
(log.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
(cos.f64 y) |
y |
x |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y z x)) |
(fma.f64 z y x) |
(fma.f64 y z x) |
z |
y |
x |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
(fma.f64 (cos.f64 y) x #s(approx (* z (sin y)) (*.f64 y (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 z (*.f64 y y)) z)))) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
x |
(cos.f64 y) |
y |
#s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) |
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 z (*.f64 y y)) z))) |
(*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
(*.f64 y (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 z (*.f64 y y)) z)) |
z |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(*.f64 y #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 y (*.f64 y y)) |
(*.f64 y y) |
(+.f64 (*.f64 x (cos.f64 y)) (exp.f64 (log.f64 (*.f64 z (sin.f64 y))))) |
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
x |
(cos.f64 y) |
y |
(exp.f64 (log.f64 (*.f64 z (sin.f64 y)))) |
(*.f64 z (sin.f64 y)) |
(log.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x (cos.f64 y)) |
| ✓ | accuracy | 99.9% | (*.f64 z (sin.f64 y)) |
| ✓ | accuracy | 96.5% | (exp.f64 (log.f64 (*.f64 z (sin.f64 y)))) |
| ✓ | accuracy | 94.6% | (log.f64 (*.f64 z (sin.f64 y))) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 y (*.f64 y y)) |
| ✓ | accuracy | 98.9% | (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
| ✓ | accuracy | 79.2% | #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.9% | (*.f64 z (sin.f64 y)) |
| ✓ | accuracy | 73.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) |
| ✓ | accuracy | 100.0% | (fma.f64 z y x) |
| ✓ | accuracy | 79.7% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 100.0% | (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
| ✓ | accuracy | 99.9% | (*.f64 z (sin.f64 y)) |
| 45.0ms | 140× | 0 | invalid |
| 35.0ms | 116× | 0 | valid |
Compiled 167 to 27 computations (83.8% saved)
ival-mult: 15.0ms (25% of total)const: 12.0ms (20% of total)ival-exp: 10.0ms (16.7% of total)ival-cos: 7.0ms (11.7% of total)ival-add: 6.0ms (10% of total)ival-sin: 5.0ms (8.3% of total)ival-log: 2.0ms (3.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))> |
#<alt (cos.f64 y)> |
#<alt (*.f64 z (sin.f64 y))> |
#<alt (sin.f64 y)> |
#<alt #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))> |
#<alt (fma.f64 z y x)> |
#<alt #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))> |
#<alt (+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))> |
#<alt (*.f64 x (cos.f64 y))> |
#<alt #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))> |
#<alt (exp.f64 (log.f64 (*.f64 z (sin.f64 y))))> |
#<alt (+.f64 (*.f64 x (cos.f64 y)) (exp.f64 (log.f64 (*.f64 z (sin.f64 y)))))> |
#<alt (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))> |
#<alt (*.f64 y (*.f64 y y))> |
#<alt (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))> |
#<alt (log.f64 (*.f64 z (sin.f64 y)))> |
| Outputs |
|---|
#<alt x> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))> |
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* x (cos y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (sin y))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* y z)> |
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (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 (sin y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt x> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))> |
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (sin y))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt x> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y z))> |
#<alt (* y z)> |
#<alt (* z (+ y (/ x z)))> |
#<alt (* z (+ y (/ x z)))> |
#<alt (* z (+ y (/ x z)))> |
#<alt (* y z)> |
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))> |
#<alt x> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y z))> |
#<alt (* y z)> |
#<alt (* y (+ z (/ x y)))> |
#<alt (* y (+ z (/ x y)))> |
#<alt (* y (+ z (/ x y)))> |
#<alt (* y z)> |
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))> |
#<alt (* y z)> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y z))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* y z) x)))> |
#<alt (* x (+ 1 (/ (* y z) x)))> |
#<alt (* x (+ 1 (/ (* y z) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))> |
#<alt (* z (sin y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt x> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))> |
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (sin y))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* z (sin y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt x> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))> |
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (sin y))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt x> |
#<alt (+ x (* -1/2 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* y z)> |
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* y z)> |
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt x> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))> |
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (sin y))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y z)> |
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))> |
#<alt (* 1/120 (* (pow y 5) z))> |
#<alt (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))> |
#<alt (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))> |
#<alt (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))> |
#<alt (* 1/120 (* (pow y 5) z))> |
#<alt (* -1 (* (pow y 5) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))> |
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))> |
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt -1/6> |
#<alt (- (* 1/120 (pow y 2)) 1/6)> |
#<alt (- (* 1/120 (pow y 2)) 1/6)> |
#<alt (- (* 1/120 (pow y 2)) 1/6)> |
#<alt (* 1/120 (pow y 2))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* 1/120 (pow y 2))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (+ (log z) (log (sin y)))> |
#<alt (+ (log z) (log (sin y)))> |
#<alt (+ (log z) (log (sin y)))> |
#<alt (+ (log z) (log (sin y)))> |
#<alt (+ (log (sin y)) (* -1 (log (/ 1 z))))> |
#<alt (+ (log (sin y)) (* -1 (log (/ 1 z))))> |
#<alt (+ (log (sin y)) (* -1 (log (/ 1 z))))> |
#<alt (+ (log (sin y)) (* -1 (log (/ 1 z))))> |
#<alt (+ (log (* -1 (sin y))) (* -1 (log (/ -1 z))))> |
#<alt (+ (log (* -1 (sin y))) (* -1 (log (/ -1 z))))> |
#<alt (+ (log (* -1 (sin y))) (* -1 (log (/ -1 z))))> |
#<alt (+ (log (* -1 (sin y))) (* -1 (log (/ -1 z))))> |
#<alt (+ (log y) (log z))> |
#<alt (+ (log y) (+ (log z) (* -1/6 (pow y 2))))> |
#<alt (+ (log y) (+ (log z) (* (pow y 2) (- (* -1/180 (pow y 2)) 1/6))))> |
#<alt (+ (log y) (+ (log z) (* (pow y 2) (- (* (pow y 2) (- (* -1/2835 (pow y 2)) 1/180)) 1/6))))> |
#<alt (log (* z (sin y)))> |
#<alt (log (* z (sin y)))> |
#<alt (log (* z (sin y)))> |
#<alt (log (* z (sin y)))> |
#<alt (log (* z (sin y)))> |
#<alt (log (* z (sin y)))> |
#<alt (log (* z (sin y)))> |
#<alt (log (* z (sin y)))> |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | y | @ | -inf | (log (* z (sin y))) |
| 34.0ms | z | @ | -inf | (log (* z (sin y))) |
| 33.0ms | z | @ | 0 | (log (* z (sin y))) |
| 15.0ms | y | @ | inf | (log (* z (sin y))) |
| 6.0ms | z | @ | inf | (log (* z (sin y))) |
| 1× | egg-herbie |
| 11 922× | lower-fma.f64 |
| 11 922× | lower-fma.f32 |
| 3 774× | lower-*.f64 |
| 3 774× | lower-*.f32 |
| 3 004× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 197 | 2986 |
| 1 | 596 | 2902 |
| 2 | 1690 | 2878 |
| 3 | 3451 | 2872 |
| 4 | 7094 | 2872 |
| 0 | 8245 | 2601 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
1 |
(+ 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 (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)) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (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 (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
x |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
(* y z) |
(* z (+ y (/ x z))) |
(* z (+ y (/ x z))) |
(* z (+ y (/ x z))) |
(* y z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
x |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
(* y z) |
(* y (+ z (/ x y))) |
(* y (+ z (/ x y))) |
(* y (+ z (/ x y))) |
(* y z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* y z) |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
x |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (/ (* y z) x))) |
x |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
x |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* 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)) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* 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)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* 1/120 (* (pow y 5) z)) |
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4))))) |
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4))))) |
(* 1/120 (* (pow y 5) z)) |
(* -1 (* (pow y 5) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
-1/6 |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (pow y 2)) 1/6) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(+ (log z) (log (sin y))) |
(+ (log z) (log (sin y))) |
(+ (log z) (log (sin y))) |
(+ (log z) (log (sin y))) |
(+ (log (sin y)) (* -1 (log (/ 1 z)))) |
(+ (log (sin y)) (* -1 (log (/ 1 z)))) |
(+ (log (sin y)) (* -1 (log (/ 1 z)))) |
(+ (log (sin y)) (* -1 (log (/ 1 z)))) |
(+ (log (* -1 (sin y))) (* -1 (log (/ -1 z)))) |
(+ (log (* -1 (sin y))) (* -1 (log (/ -1 z)))) |
(+ (log (* -1 (sin y))) (* -1 (log (/ -1 z)))) |
(+ (log (* -1 (sin y))) (* -1 (log (/ -1 z)))) |
(+ (log y) (log z)) |
(+ (log y) (+ (log z) (* -1/6 (pow y 2)))) |
(+ (log y) (+ (log z) (* (pow y 2) (- (* -1/180 (pow y 2)) 1/6)))) |
(+ (log y) (+ (log z) (* (pow y 2) (- (* (pow y 2) (- (* -1/2835 (pow y 2)) 1/180)) 1/6)))) |
(log (* z (sin y))) |
(log (* z (sin y))) |
(log (* z (sin y))) |
(log (* z (sin y))) |
(log (* z (sin y))) |
(log (* z (sin y))) |
(log (* z (sin y))) |
(log (* z (sin y))) |
| Outputs |
|---|
x |
(+ x (* y z)) |
(fma.f64 y z x) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal -1/6 binary64)))) z) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.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 (*.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) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* y z) |
(*.f64 y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 (*.f64 y z) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (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 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
x |
(+ x (* y z)) |
(fma.f64 y z x) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal -1/6 binary64)))) z) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
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(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)) |
(* y z) |
(*.f64 y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 (*.f64 y z) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)) |
(* 1/120 (* (pow y 5) z)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 z (pow.f64 y #s(literal 5 binary64)))) |
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 z (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4))))) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y))))) |
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4))))) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y))))) |
(* 1/120 (* (pow y 5) z)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 z (pow.f64 y #s(literal 5 binary64)))) |
(* -1 (* (pow y 5) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 z (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y))))) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow y 2)) 1/6) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(- (* 1/120 (pow y 2)) 1/6) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(- (* 1/120 (pow y 2)) 1/6) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(* 1/120 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/120 binary64)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(* 1/120 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/120 binary64)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(+ (log z) (log (sin y))) |
(+.f64 (log.f64 z) (log.f64 (sin.f64 y))) |
(+ (log z) (log (sin y))) |
(+.f64 (log.f64 z) (log.f64 (sin.f64 y))) |
(+ (log z) (log (sin y))) |
(+.f64 (log.f64 z) (log.f64 (sin.f64 y))) |
(+ (log z) (log (sin y))) |
(+.f64 (log.f64 z) (log.f64 (sin.f64 y))) |
(+ (log (sin y)) (* -1 (log (/ 1 z)))) |
(+.f64 (log.f64 z) (log.f64 (sin.f64 y))) |
(+ (log (sin y)) (* -1 (log (/ 1 z)))) |
(+.f64 (log.f64 z) (log.f64 (sin.f64 y))) |
(+ (log (sin y)) (* -1 (log (/ 1 z)))) |
(+.f64 (log.f64 z) (log.f64 (sin.f64 y))) |
(+ (log (sin y)) (* -1 (log (/ 1 z)))) |
(+.f64 (log.f64 z) (log.f64 (sin.f64 y))) |
(+ (log (* -1 (sin y))) (* -1 (log (/ -1 z)))) |
(-.f64 (log.f64 (neg.f64 (sin.f64 y))) (neg.f64 (log.f64 (neg.f64 z)))) |
(+ (log (* -1 (sin y))) (* -1 (log (/ -1 z)))) |
(-.f64 (log.f64 (neg.f64 (sin.f64 y))) (neg.f64 (log.f64 (neg.f64 z)))) |
(+ (log (* -1 (sin y))) (* -1 (log (/ -1 z)))) |
(-.f64 (log.f64 (neg.f64 (sin.f64 y))) (neg.f64 (log.f64 (neg.f64 z)))) |
(+ (log (* -1 (sin y))) (* -1 (log (/ -1 z)))) |
(-.f64 (log.f64 (neg.f64 (sin.f64 y))) (neg.f64 (log.f64 (neg.f64 z)))) |
(+ (log y) (log z)) |
(+.f64 (log.f64 z) (log.f64 y)) |
(+ (log y) (+ (log z) (* -1/6 (pow y 2)))) |
(+.f64 (log.f64 z) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) (log.f64 y))) |
(+ (log y) (+ (log z) (* (pow y 2) (- (* -1/180 (pow y 2)) 1/6)))) |
(+.f64 (log.f64 z) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) (log.f64 y))) |
(+ (log y) (+ (log z) (* (pow y 2) (- (* (pow y 2) (- (* -1/2835 (pow y 2)) 1/180)) 1/6)))) |
(+.f64 (log.f64 z) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64)) (log.f64 y))) |
(log (* z (sin y))) |
(log.f64 (*.f64 z (sin.f64 y))) |
(log (* z (sin y))) |
(log.f64 (*.f64 z (sin.f64 y))) |
(log (* z (sin y))) |
(log.f64 (*.f64 z (sin.f64 y))) |
(log (* z (sin y))) |
(log.f64 (*.f64 z (sin.f64 y))) |
(log (* z (sin y))) |
(log.f64 (*.f64 z (sin.f64 y))) |
(log (* z (sin y))) |
(log.f64 (*.f64 z (sin.f64 y))) |
(log (* z (sin y))) |
(log.f64 (*.f64 z (sin.f64 y))) |
(log (* z (sin y))) |
(log.f64 (*.f64 z (sin.f64 y))) |
| 1× | batch-egg-rewrite |
| 13 050× | lower-fma.f32 |
| 13 042× | lower-fma.f64 |
| 6 740× | lower-*.f32 |
| 6 728× | lower-*.f64 |
| 3 196× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 145 |
| 0 | 50 | 130 |
| 1 | 150 | 130 |
| 2 | 878 | 130 |
| 0 | 8443 | 129 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(fma.f64 z y x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
(*.f64 x (cos.f64 y)) |
#s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) |
(exp.f64 (log.f64 (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 x (cos.f64 y)) (exp.f64 (log.f64 (*.f64 z (sin.f64 y))))) |
(*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
(*.f64 y (*.f64 y y)) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(log.f64 (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) |
(-.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))) |
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #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 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))))) |
(neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.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 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.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 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cos.f64 y) x) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cos.f64 y) x) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #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 #s(literal 2 binary64) y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))) |
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(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 1/2985984000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1/207360000 binary64) (+.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/518400 binary64)))) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1/207360000 binary64) #s(literal -1/1296 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal 1/720 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/14400 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal 1/720 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/14400 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/14400 binary64)))) (neg.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal -1/120 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal 1/720 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/14400 binary64)))))) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64)))))) |
(*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal 1/720 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/14400 binary64))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal -1/6 binary64)))) |
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/14400 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal -1/120 binary64))))) |
(log.f64 (*.f64 z (sin.f64 y))) |
(+.f64 (log.f64 z) (log.f64 (sin.f64 y))) |
(+.f64 (log.f64 (sin.f64 y)) (log.f64 z)) |
(-.f64 (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (log.f64 (/.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64)) (log.f64 (/.f64 z (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 (sin.f64 y)) (-.f64 (log.f64 (sin.f64 y)) (log.f64 z)))) (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 (sin.f64 y)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 z (sin.f64 y))) (*.f64 (log.f64 (*.f64 z (sin.f64 y))) (log.f64 (/.f64 z (sin.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 (sin.f64 y)) (-.f64 (log.f64 (sin.f64 y)) (log.f64 z))))) |
(/.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) (log.f64 (/.f64 z (sin.f64 y)))) (log.f64 (/.f64 z (sin.f64 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 (sin.f64 y)) (-.f64 (log.f64 (sin.f64 y)) (log.f64 z)))))) |
(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) (log.f64 (/.f64 z (sin.f64 y))))) (neg.f64 (log.f64 (/.f64 z (sin.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 (sin.f64 y)) (log.f64 z))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (-.f64 (log.f64 (sin.f64 y)) (log.f64 z))) |
(*.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 (sin.f64 y)) (-.f64 (log.f64 (sin.f64 y)) (log.f64 z)))))) |
(*.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) (log.f64 (/.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 z (sin.f64 y))))) |
Compiled 21 870 to 1 204 computations (94.5% saved)
37 alts after pruning (34 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 835 | 29 | 864 |
| Fresh | 10 | 5 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 847 | 37 | 884 |
| Status | Accuracy | Program |
|---|---|---|
| 62.3% | (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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.f64 y))))))) | |
| 40.5% | (fma.f64 (*.f64 x (*.f64 x (cos.f64 y))) (/.f64 (cos.f64 y) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.f64 y))))))) | |
| ▶ | 99.8% | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
| 76.1% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y))) | |
| 16.9% | (/.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 (*.f64 x (cos.f64 y)) (*.f64 z (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 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) | |
| 40.4% | (/.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 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) | |
| 40.4% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))) | |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) |
| ▶ | 50.1% | (+.f64 (*.f64 x #s(approx (cos y) (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)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
| 50.3% | (+.f64 (*.f64 x #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 (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) | |
| 50.1% | (+.f64 (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) | |
| 99.5% | (*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) | |
| 40.4% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (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 z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) | |
| 50.4% | #s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal -1/6 binary64)))) z) x)) | |
| 50.3% | #s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x)) | |
| 57.8% | #s(approx (+ (* (cos y) x) (* z (sin y))) (*.f64 x (cos.f64 y))) | |
| ✓ | 52.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
| 13.6% | #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 z z))) (-.f64 (*.f64 y z) x)) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))) | |
| 28.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))) | |
| 13.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))))) | |
| 9.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (-.f64 (*.f64 y z) x)))) | |
| 28.7% | #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y z)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) | |
| 51.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))) | |
| 20.1% | #s(approx (+ (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x)))) | |
| 17.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))))))) | |
| 51.3% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y z x) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))) | |
| 28.7% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))) | |
| 13.3% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z))))))) | |
| ✓ | 42.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) |
| 19.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z #s(approx (sin y) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y)))) | |
| 18.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) | |
| 17.3% | #s(approx (+ (* x (cos y)) (* z (sin y))) (exp.f64 (log.f64 (*.f64 z (sin.f64 y))))) | |
| ▶ | 18.6% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z))) |
| 18.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (*.f64 y z) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) | |
| ▶ | 19.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)))) |
| 18.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)))) |
Compiled 1 913 to 894 computations (53.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) |
| ✓ | cost-diff | 0 | (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)) |
| ✓ | cost-diff | 0 | #s(approx (cos y) (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))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(approx (cos y) (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)))) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 x #s(approx (cos y) (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)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y y) (*.f64 z (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))) z) |
| ✓ | cost-diff | 0 | (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)) |
| ✓ | cost-diff | 0 | #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z))) |
| ✓ | cost-diff | 0 | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)))) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | #s(approx (+ (* z y) x) (*.f64 y z)) |
| ✓ | cost-diff | 0 | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z))) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 (cos.f64 y) x) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
| 6 292× | lower-fma.f32 |
| 6 272× | lower-fma.f64 |
| 2 266× | lower-*.f32 |
| 2 246× | lower-*.f64 |
| 1 830× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 419 |
| 0 | 84 | 403 |
| 1 | 171 | 403 |
| 2 | 415 | 403 |
| 3 | 1139 | 400 |
| 4 | 2794 | 400 |
| 5 | 3239 | 400 |
| 6 | 3689 | 400 |
| 7 | 3837 | 400 |
| 8 | 3844 | 400 |
| 9 | 3845 | 400 |
| 10 | 3845 | 400 |
| 11 | 4634 | 400 |
| 12 | 4644 | 400 |
| 13 | 4648 | 400 |
| 14 | 4669 | 400 |
| 15 | 4669 | 400 |
| 16 | 4669 | 400 |
| 17 | 4678 | 400 |
| 18 | 4678 | 400 |
| 19 | 4691 | 400 |
| 0 | 4691 | 394 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(sin.f64 y) |
y |
z |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z))) |
#s(approx (+ (* z y) x) (*.f64 y z)) |
(*.f64 y z) |
y |
z |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)))) |
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)) |
y |
(fma.f64 (*.f64 y y) (*.f64 z (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))) z) |
(*.f64 y y) |
(*.f64 z (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))) |
z |
(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)) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(+.f64 (*.f64 x #s(approx (cos y) (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)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
(*.f64 x #s(approx (cos y) (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)))) |
x |
#s(approx (cos y) (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))) |
(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)) |
(*.f64 y 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)) |
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal -1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) |
(*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
z |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(*.f64 y #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 y (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) |
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
(cos.f64 y) |
y |
x |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(sin.f64 y) |
y |
z |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z))) |
#s(approx (+ (* z y) x) (*.f64 y z)) |
(*.f64 y z) |
y |
z |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) z)))) |
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z))) |
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) z))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) z)) |
y |
(fma.f64 (*.f64 y y) (*.f64 z (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))) z) |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) z) |
(*.f64 y y) |
(*.f64 z (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))) |
(*.f64 z (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) |
z |
(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)) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(+.f64 (*.f64 x #s(approx (cos y) (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)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
(fma.f64 x #s(approx (cos y) (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))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)))) |
(*.f64 x #s(approx (cos y) (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)))) |
x |
#s(approx (cos y) (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))) |
(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)) |
(*.f64 y 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)) |
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal -1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) |
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))) |
(*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)) |
z |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(*.f64 y #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 y (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(cos.f64 y) |
y |
x |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) |
| ✓ | accuracy | 99.6% | (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
| ✓ | accuracy | 98.1% | (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
| ✓ | accuracy | 50.7% | #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) |
| ✓ | accuracy | 50.4% | #s(approx (cos y) (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))) |
| ✓ | accuracy | 99.6% | (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 97.9% | (*.f64 z (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))) |
| ✓ | accuracy | 50.7% | #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z))) |
| ✓ | accuracy | 42.3% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)))) |
| ✓ | accuracy | 100.0% | (*.f64 y z) |
| ✓ | accuracy | 53.5% | #s(approx (+ (* z y) x) (*.f64 y z)) |
| ✓ | accuracy | 52.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z))) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 99.9% | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
| ✓ | accuracy | 99.8% | (*.f64 (cos.f64 y) x) |
| 143.0ms | 256× | 0 | valid |
Compiled 303 to 48 computations (84.2% saved)
ival-sin: 38.0ms (33.8% of total)ival-mult: 33.0ms (29.3% of total)const: 17.0ms (15.1% of total)ival-add: 14.0ms (12.4% of total)ival-cos: 6.0ms (5.3% of total)ival-div: 3.0ms (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 (sin.f64 y) z (*.f64 (cos.f64 y) x))> |
#<alt (sin.f64 y)> |
#<alt (*.f64 (cos.f64 y) x)> |
#<alt (cos.f64 y)> |
#<alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))> |
#<alt #s(approx (+ (* z y) x) (*.f64 y z))> |
#<alt (*.f64 y z)> |
#<alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z))))> |
#<alt #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)))> |
#<alt (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z))> |
#<alt (fma.f64 (*.f64 y y) (*.f64 z (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))) z)> |
#<alt (+.f64 (*.f64 x #s(approx (cos y) (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)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))> |
#<alt (*.f64 x #s(approx (cos y) (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))))> |
#<alt #s(approx (cos y) (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)))> |
#<alt (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))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))> |
#<alt (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))> |
#<alt (*.f64 z (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)))> |
#<alt (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))> |
#<alt #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))> |
#<alt (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))> |
#<alt (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))> |
#<alt (*.f64 z (sin.f64 y))> |
| Outputs |
|---|
#<alt x> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))> |
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (sin y))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* z (sin y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<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 x> |
#<alt (+ x (* -1/2 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (* z (sin y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt x> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))> |
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (sin y))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt x> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y z))> |
#<alt (* y z)> |
#<alt (* z (+ y (/ x z)))> |
#<alt (* z (+ y (/ x z)))> |
#<alt (* z (+ y (/ x z)))> |
#<alt (* y z)> |
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))> |
#<alt x> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y z))> |
#<alt (* y z)> |
#<alt (* y (+ z (/ x y)))> |
#<alt (* y (+ z (/ x y)))> |
#<alt (* y (+ z (/ x y)))> |
#<alt (* y z)> |
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))> |
#<alt (* y z)> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y z))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* y z) x)))> |
#<alt (* x (+ 1 (/ (* y z) x)))> |
#<alt (* x (+ 1 (/ (* y z) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* z (sin y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt x> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))> |
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (sin y))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* y z)> |
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* y z)> |
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))> |
#<alt (* -1/5040 (* (pow y 7) z))> |
#<alt (* (pow y 7) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))> |
#<alt (* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))> |
#<alt (* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6))))))> |
#<alt (* -1/5040 (* (pow y 7) z))> |
#<alt (* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z))))> |
#<alt (* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4)))))))> |
#<alt (* -1 (* (pow y 7) (+ (* -1 (/ z (pow y 6))) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))))> |
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))> |
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))> |
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))> |
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))> |
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))> |
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))> |
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))> |
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))> |
#<alt (* -1 (* y (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))))> |
#<alt (* -1 (* y (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))))> |
#<alt (* -1 (* y (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))))> |
#<alt (* -1 (* y (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))))> |
#<alt z> |
#<alt (+ z (* -1/6 (* (pow y 2) z)))> |
#<alt (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))> |
#<alt (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))> |
#<alt (* -1/5040 (* (pow y 6) z))> |
#<alt (* (pow y 6) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))> |
#<alt (* (pow y 6) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))> |
#<alt (* (pow y 6) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6))))))> |
#<alt (* -1/5040 (* (pow y 6) z))> |
#<alt (* (pow y 6) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))> |
#<alt (* (pow y 6) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))> |
#<alt (* (pow y 6) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6))))))> |
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))> |
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))> |
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))> |
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))> |
#<alt (* z (sin y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt x> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))> |
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (sin y))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt x> |
#<alt (+ x (* -1/2 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (* -1/720 (pow y 6))> |
#<alt (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))> |
#<alt (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))> |
#<alt (* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4)))))> |
#<alt (* -1/720 (pow y 6))> |
#<alt (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))> |
#<alt (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))> |
#<alt (* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4)))))> |
#<alt x> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))> |
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* x (cos y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (sin y))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (/ 1 x)> |
#<alt (+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))> |
#<alt (+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))> |
#<alt (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))> |
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))> |
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))> |
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))> |
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))> |
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))> |
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))> |
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))> |
#<alt (/ 1 (+ (* x (cos y)) (* z (sin y))))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))> |
#<alt (+ (* x (- (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))> |
#<alt (+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))> |
#<alt (/ 1 (* x (cos y)))> |
#<alt (/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)> |
#<alt (/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)> |
#<alt (/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)> |
#<alt (/ 1 (* x (cos y)))> |
#<alt (* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x))> |
#<alt (/ 1 (* x (cos y)))> |
#<alt (+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y))))> |
#<alt (+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))> |
#<alt (+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)> |
#<alt (/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)> |
#<alt (/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))> |
#<alt x> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))> |
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* x (cos y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (sin y))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))> |
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))> |
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))> |
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))> |
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))> |
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))> |
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))> |
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))> |
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))> |
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))> |
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))> |
#<alt (* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))> |
#<alt (* -1/6 z)> |
#<alt (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))> |
#<alt (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))> |
#<alt (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))> |
#<alt (* -1/5040 (* (pow y 4) z))> |
#<alt (* (pow y 4) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))> |
#<alt (* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))> |
#<alt (* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))> |
#<alt (* -1/5040 (* (pow y 4) z))> |
#<alt (* (pow y 4) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))> |
#<alt (* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))> |
#<alt (* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))> |
#<alt 1/120> |
#<alt (+ 1/120 (* -1/5040 (pow y 2)))> |
#<alt (+ 1/120 (* -1/5040 (pow y 2)))> |
#<alt (+ 1/120 (* -1/5040 (pow y 2)))> |
#<alt (* -1/5040 (pow y 2))> |
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* -1/5040 (pow y 2))> |
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* y z)> |
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y z)> |
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))> |
#<alt (* 1/120 (* (pow y 5) z))> |
#<alt (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))> |
#<alt (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))> |
#<alt (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))> |
#<alt (* 1/120 (* (pow y 5) z))> |
#<alt (* -1 (* (pow y 5) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))> |
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))> |
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))> |
#<alt 1/24> |
#<alt (+ 1/24 (* -1/720 (pow y 2)))> |
#<alt (+ 1/24 (* -1/720 (pow y 2)))> |
#<alt (+ 1/24 (* -1/720 (pow y 2)))> |
#<alt (* -1/720 (pow y 2))> |
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))> |
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))> |
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))> |
#<alt (* -1/720 (pow y 2))> |
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))> |
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))> |
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* y z)> |
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
150 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (* y (+ (* (* y y) (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6))) z)) |
| 1.0ms | z | @ | inf | (* y (+ (* (* y y) (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6))) z)) |
| 1.0ms | z | @ | -inf | (* y (+ (* (* y y) (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6))) z)) |
| 1.0ms | y | @ | -inf | (/ 1 (+ (* (cos y) x) (* z (sin y)))) |
| 1.0ms | y | @ | inf | (* y (+ (* (* y y) (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6))) z)) |
| 1× | egg-herbie |
| 10 712× | lower-fma.f64 |
| 10 712× | lower-fma.f32 |
| 6 662× | lower-*.f64 |
| 6 662× | lower-*.f32 |
| 2 946× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 398 | 6056 |
| 1 | 1326 | 5900 |
| 2 | 4526 | 5803 |
| 0 | 8480 | 5340 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
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(* x (cos y)) |
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(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
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(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
x |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(* x (cos y)) |
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(* x (cos y)) |
(* x (cos y)) |
1 |
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(+ 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 (sin y)) |
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(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
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(* x (cos y)) |
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x |
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(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
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x |
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x |
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(* y z) |
(+ x (* y z)) |
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(+ x (* y z)) |
x |
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(* x (+ 1 (/ (* y z) x))) |
x |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
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(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
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(* y z) |
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(* y z) |
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(* y z) |
(* y z) |
(* y z) |
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(* y z) |
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(* x (cos y)) |
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x |
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(* z (sin y)) |
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(* z (sin y)) |
(* z (sin y)) |
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(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* -1/5040 (* (pow y 7) z)) |
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(* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))) |
(* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6)))))) |
(* -1/5040 (* (pow y 7) z)) |
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(* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))) |
(* -1 (* (pow y 7) (+ (* -1 (/ z (pow y 6))) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4)))))))) |
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
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(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
(* -1 (* y (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))) |
(* -1 (* y (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))) |
(* -1 (* y (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))) |
(* -1 (* y (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))) |
z |
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(+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))) |
(* -1/5040 (* (pow y 6) z)) |
(* (pow y 6) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))) |
(* (pow y 6) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))) |
(* (pow y 6) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6)))))) |
(* -1/5040 (* (pow y 6) z)) |
(* (pow y 6) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))) |
(* (pow y 6) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))) |
(* (pow y 6) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6)))))) |
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
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(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
(* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
(* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
(* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
(* z (sin y)) |
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(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
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(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
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(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
x |
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(+ x (* y (+ z (* -1/2 (* x y))))) |
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(+ (* x (cos y)) (* z (sin y))) |
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(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
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(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
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(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
x |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
1 |
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(+ 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 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* -1/720 (pow y 6)) |
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* -1/720 (pow y 6)) |
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4))))) |
x |
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(+ x (* y (+ z (* -1/2 (* x y))))) |
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(* x (cos y)) |
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(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
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(* x (cos y)) |
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(+ (* x (cos y)) (* z (sin y))) |
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(* z (sin y)) |
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(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
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(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(/ 1 x) |
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x)) |
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x)) |
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(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(/ 1 (* z (sin y))) |
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(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(/ 1 (* x (cos y))) |
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(/ 1 (* x (cos y))) |
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(/ 1 (* x (cos y))) |
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y)))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(/ 1 (* z (sin y))) |
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z) |
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/ 1 (* z (sin y))) |
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* -1/6 z) |
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z))) |
(+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))) |
(+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))) |
(* -1/5040 (* (pow y 4) z)) |
(* (pow y 4) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))) |
(* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))) |
(* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))) |
(* -1/5040 (* (pow y 4) z)) |
(* (pow y 4) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))) |
(* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))) |
(* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))) |
1/120 |
(+ 1/120 (* -1/5040 (pow y 2))) |
(+ 1/120 (* -1/5040 (pow y 2))) |
(+ 1/120 (* -1/5040 (pow y 2))) |
(* -1/5040 (pow y 2)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* -1/5040 (pow y 2)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* 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)) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* 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 (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* 1/120 (* (pow y 5) z)) |
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4))))) |
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4))))) |
(* 1/120 (* (pow y 5) z)) |
(* -1 (* (pow y 5) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))) |
1/24 |
(+ 1/24 (* -1/720 (pow y 2))) |
(+ 1/24 (* -1/720 (pow y 2))) |
(+ 1/24 (* -1/720 (pow y 2))) |
(* -1/720 (pow y 2)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* -1/720 (pow y 2)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* 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)) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
| Outputs |
|---|
x |
(+ x (* y z)) |
(fma.f64 y z x) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) z) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.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 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
x |
(+ x (* -1/2 (* x (pow y 2)))) |
(fma.f64 x (*.f64 y (*.f64 y #s(literal -1/2 binary64))) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64))) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/720 binary64))) (*.f64 x #s(literal 1/24 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (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 y (*.f64 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) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) |
x |
(+ x (* y z)) |
(fma.f64 y z x) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) z) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) |
x |
(+ x (* y z)) |
(fma.f64 y z x) |
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(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* -1/5040 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* -1/5040 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(* -1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 (*.f64 y y) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 (*.f64 y y) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 (*.f64 y y) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))) |
(* -1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 (*.f64 y y) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 (*.f64 y y) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 (*.f64 y y) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* y z) |
(*.f64 y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(*.f64 y (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y z)) z)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)) |
(* y z) |
(*.f64 y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)) |
(* 1/120 (* (pow y 5) z)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 z (pow.f64 y #s(literal 5 binary64)))) |
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 z (*.f64 y y))))) |
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4))))) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z #s(literal 1/120 binary64) (fma.f64 z (/.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y)))))) |
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4))))) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z #s(literal 1/120 binary64) (fma.f64 z (/.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y)))))) |
(* 1/120 (* (pow y 5) z)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 z (pow.f64 y #s(literal 5 binary64)))) |
(* -1 (* (pow y 5) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 z (*.f64 y y))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z #s(literal 1/120 binary64) (fma.f64 z (/.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y)))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z #s(literal 1/120 binary64) (fma.f64 z (/.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y)))))) |
1/24 |
#s(literal 1/24 binary64) |
(+ 1/24 (* -1/720 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
(+ 1/24 (* -1/720 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
(+ 1/24 (* -1/720 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
(* -1/720 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal -1/720 binary64))) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(*.f64 y (*.f64 y (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))))) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(*.f64 y (*.f64 y (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))))) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(*.f64 y (*.f64 y (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))))) |
(* -1/720 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal -1/720 binary64))) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(*.f64 y (*.f64 y (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))))) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(*.f64 y (*.f64 y (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))))) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(*.f64 y (*.f64 y (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))))) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* y z) |
(*.f64 y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(*.f64 y (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y z)) z)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
| 1× | batch-egg-rewrite |
| 6 948× | lower-fma.f32 |
| 6 928× | lower-fma.f64 |
| 4 764× | lower-*.f32 |
| 4 744× | lower-*.f64 |
| 3 198× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 337 |
| 0 | 84 | 325 |
| 1 | 351 | 325 |
| 2 | 2480 | 325 |
| 0 | 9007 | 322 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(sin.f64 y) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z))) |
#s(approx (+ (* z y) x) (*.f64 y z)) |
(*.f64 y z) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)))) |
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)) |
(fma.f64 (*.f64 y y) (*.f64 z (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))) z) |
(+.f64 (*.f64 x #s(approx (cos y) (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)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
(*.f64 x #s(approx (cos y) (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)))) |
#s(approx (cos y) (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))) |
(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)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) |
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
(*.f64 z (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))) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
#s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) |
(*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
(*.f64 z (sin.f64 y)) |
| Outputs |
|---|
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) |
(+.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(+.f64 (*.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))) (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))) |
(-.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.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 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))) #s(literal 1 binary64))) |
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(-.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))) (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))))) |
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64)))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64)) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64)) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64)) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) (fma.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64)) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64))))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal -1/24 binary64)))) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
Compiled 40 905 to 2 058 computations (95% saved)
45 alts after pruning (40 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 197 | 23 | 1 220 |
| Fresh | 12 | 17 | 29 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 212 | 45 | 1 257 |
| Status | Accuracy | Program |
|---|---|---|
| 62.3% | (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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.f64 y))))))) | |
| 40.5% | (fma.f64 (*.f64 x (*.f64 x (cos.f64 y))) (/.f64 (cos.f64 y) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.f64 y))))))) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
| 76.1% | (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
| ▶ | 50.1% | (fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
| 76.1% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y))) | |
| 16.9% | (/.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 (*.f64 x (cos.f64 y)) (*.f64 z (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 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) | |
| 40.4% | (/.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 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) | |
| 43.0% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 51.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y z x)))) | |
| 42.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* z (sin y))) (*.f64 z (sin.f64 y))))) | |
| 57.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* z (sin y))) (*.f64 x (cos.f64 y))))) | |
| 26.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (fma.f64 y (fma.f64 y (fma.f64 z (/.f64 z (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 z (*.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) x)))) | |
| 31.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x)))) | |
| 36.4% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))) | |
| 50.0% | (+.f64 (*.f64 x #s(approx (cos y) (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)))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z)))) | |
| 49.8% | (+.f64 (*.f64 x #s(approx (cos y) (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)))) #s(approx (* z (sin y)) (*.f64 y z))) | |
| 50.1% | (+.f64 (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) | |
| ▶ | 99.5% | (*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) |
| 40.4% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (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 z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) | |
| ▶ | 50.3% | #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x)) |
| 86.9% | #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))) | |
| ▶ | 93.1% | #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))) |
| 57.8% | #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (cos.f64 y))) | |
| ✓ | 52.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
| 13.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))))) | |
| 9.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (-.f64 (*.f64 y z) x)))) | |
| 28.7% | #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y z)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) | |
| 17.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))))))) | |
| 51.3% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y z x) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))) | |
| 28.7% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))) | |
| ✓ | 42.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) |
| 19.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z #s(approx (sin y) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y)))) | |
| 17.3% | #s(approx (+ (* x (cos y)) (* z (sin y))) (exp.f64 (log.f64 (*.f64 z (sin.f64 y))))) | |
| 43.3% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x))) | |
| 40.6% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y))))) | |
| ✓ | 18.6% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z))) |
| 46.5% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 x (neg.f64 (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal -1 binary64)))))) | |
| 18.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (*.f64 y z) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) | |
| 18.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z)))) | |
| 19.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 z (*.f64 y y)) (*.f64 z #s(literal -1/6 binary64))) z)))) | |
| 18.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)))) | |
| 18.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 z #s(literal -1/6 binary64))) z)))) | |
| ▶ | 18.5% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z)))) |
Compiled 1 992 to 973 computations (51.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 y) x) |
| ✓ | cost-diff | 0 | (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) |
| ✓ | cost-diff | 0 | #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))) |
| ✓ | cost-diff | 704 | (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z) |
| ✓ | cost-diff | 0 | (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z)) |
| ✓ | cost-diff | 0 | #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z))) |
| ✓ | cost-diff | 0 | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z)))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) y) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x) |
| ✓ | cost-diff | 0 | #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x)) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
| ✓ | cost-diff | 320 | (*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) |
| ✓ | cost-diff | 28288 | (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) |
| 6 078× | lower-fma.f32 |
| 6 056× | lower-fma.f64 |
| 3 554× | lower-*.f32 |
| 3 524× | lower-*.f64 |
| 2 724× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 585 |
| 0 | 112 | 522 |
| 1 | 238 | 522 |
| 2 | 516 | 508 |
| 3 | 1187 | 489 |
| 4 | 3016 | 489 |
| 5 | 7117 | 489 |
| 0 | 8306 | 484 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) |
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
(cos.f64 y) |
y |
x |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
(*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(*.f64 (cos.f64 y) x) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x)) |
(fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x) |
y |
(fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) |
x |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
z |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z)))) |
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z)) |
y |
(fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z) |
(*.f64 y y) |
#s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) |
(*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z))))) |
(*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z))) |
#s(literal -1/5040 binary64) |
(*.f64 y (*.f64 y z)) |
(*.f64 y z) |
z |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal -1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
x |
#s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) |
(*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
z |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 y (*.f64 y y)) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))) |
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) |
x |
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) |
z |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
(cos.f64 y) |
| Outputs |
|---|
(*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) |
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
(cos.f64 y) |
y |
x |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
(*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) |
#s(literal 1 binary64) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(*.f64 (cos.f64 y) x) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x)) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)) |
(fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x) |
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x) |
y |
(fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) |
(fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) |
x |
(*.f64 #s(literal -1/2 binary64) y) |
(*.f64 y #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
z |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z)))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))) z)))) |
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z))) |
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))) z))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z)) |
(*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))) z)) |
y |
(fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z) |
(fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))) z) |
(*.f64 y y) |
#s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) |
#s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))) |
(*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z))))) |
(*.f64 y (*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))) |
(*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))) |
(*.f64 z (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z))) |
(*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y z))) |
#s(literal -1/5040 binary64) |
(*.f64 y (*.f64 y z)) |
(*.f64 y z) |
z |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
(fma.f64 x #s(approx (cos y) (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))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y (*.f64 y z)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z)))) |
#s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
#s(approx (cos y) (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))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(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)) |
(*.f64 y y) |
y |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) |
(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)) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal -1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
x |
#s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) |
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y (*.f64 y z)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z))) |
(*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
(*.f64 y (fma.f64 (*.f64 y (*.f64 y z)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z)) |
z |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 y (*.f64 y y)) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) |
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
x |
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) |
z |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
(cos.f64 y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))) |
| ✓ | accuracy | 99.9% | (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 y) x) |
| ✓ | accuracy | 93.1% | (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) |
| ✓ | accuracy | 99.5% | (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
| ✓ | accuracy | 98.1% | (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
| ✓ | accuracy | 50.7% | #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) |
| ✓ | accuracy | 50.4% | #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z))) |
| ✓ | accuracy | 52.3% | #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) |
| ✓ | accuracy | 50.7% | #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z))) |
| ✓ | accuracy | 42.3% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z)))) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -1/2 binary64) y) |
| ✓ | accuracy | 99.9% | (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x) |
| ✓ | accuracy | 50.3% | #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x)) |
| ✓ | accuracy | 99.8% | (*.f64 (cos.f64 y) x) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
| ✓ | accuracy | 99.6% | (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) |
| 158.0ms | 256× | 0 | valid |
Compiled 413 to 61 computations (85.2% saved)
ival-mult: 49.0ms (48.2% of total)ival-add: 16.0ms (15.7% of total)const: 14.0ms (13.8% of total)ival-sin: 8.0ms (7.9% of total)ival-div: 7.0ms (6.9% of total)ival-cos: 7.0ms (6.9% of total)ival-sub: 1.0ms (1% 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 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))> |
#<alt (*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))> |
#<alt (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))> |
#<alt (cos.f64 y)> |
#<alt #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x))> |
#<alt (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x)> |
#<alt (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z)> |
#<alt (*.f64 #s(literal -1/2 binary64) y)> |
#<alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z))))> |
#<alt #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z)))> |
#<alt (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z))> |
#<alt (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z)> |
#<alt (fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))> |
#<alt #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))> |
#<alt (*.f64 y y)> |
#<alt (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))> |
#<alt #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))> |
#<alt (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))> |
#<alt (/.f64 (sin.f64 y) x)> |
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))> |
#<alt (*.f64 z (sin.f64 y))> |
#<alt (*.f64 (cos.f64 y) x)> |
#<alt #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z))))))> |
#<alt (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))> |
#<alt #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))> |
#<alt (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))> |
#<alt (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))> |
| Outputs |
|---|
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt x> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))> |
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* x (cos y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (sin y))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt x> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))> |
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* x (cos y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (sin y))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<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> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))> |
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* x (cos y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (sin y))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt x> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))> |
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))> |
#<alt (* -1/2 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* -1/2 x) (/ z y)))> |
#<alt (* (pow y 2) (+ (* -1/2 x) (+ (/ x (pow y 2)) (/ z y))))> |
#<alt (* (pow y 2) (+ (* -1/2 x) (+ (/ x (pow y 2)) (/ z y))))> |
#<alt (* -1/2 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* -1/2 x) (/ z y)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)))> |
#<alt (* y z)> |
#<alt (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y z))> |
#<alt (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y z))> |
#<alt (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y z))> |
#<alt (* x (+ 1 (* -1/2 (pow y 2))))> |
#<alt (* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y z) x))))> |
#<alt (* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y z) x))))> |
#<alt (* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y z) x))))> |
#<alt (* -1 (* x (- (* 1/2 (pow y 2)) 1)))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* 1/2 (pow y 2))) 1)))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* 1/2 (pow y 2))) 1)))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* 1/2 (pow y 2))) 1)))> |
#<alt (+ x (* -1/2 (* x (pow y 2))))> |
#<alt (+ x (+ (* -1/2 (* x (pow y 2))) (* y z)))> |
#<alt (+ x (+ (* -1/2 (* x (pow y 2))) (* y z)))> |
#<alt (+ x (+ (* -1/2 (* x (pow y 2))) (* y z)))> |
#<alt (* y z)> |
#<alt (* z (+ y (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))))> |
#<alt (* z (+ y (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))))> |
#<alt (* z (+ y (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))))> |
#<alt (* y z)> |
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)))))> |
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)))))> |
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)))))> |
#<alt z> |
#<alt (+ z (* -1/2 (* x y)))> |
#<alt (+ z (* -1/2 (* x y)))> |
#<alt (+ z (* -1/2 (* x y)))> |
#<alt (* -1/2 (* x y))> |
#<alt (* x (+ (* -1/2 y) (/ z x)))> |
#<alt (* x (+ (* -1/2 y) (/ z x)))> |
#<alt (* x (+ (* -1/2 y) (/ z x)))> |
#<alt (* -1/2 (* x y))> |
#<alt (* -1 (* x (+ (* -1 (/ z x)) (* 1/2 y))))> |
#<alt (* -1 (* x (+ (* -1 (/ z x)) (* 1/2 y))))> |
#<alt (* -1 (* x (+ (* -1 (/ z x)) (* 1/2 y))))> |
#<alt z> |
#<alt (+ z (* -1/2 (* x y)))> |
#<alt (+ z (* -1/2 (* x y)))> |
#<alt (+ z (* -1/2 (* x y)))> |
#<alt (* -1/2 (* x y))> |
#<alt (* y (+ (* -1/2 x) (/ z y)))> |
#<alt (* y (+ (* -1/2 x) (/ z y)))> |
#<alt (* y (+ (* -1/2 x) (/ z y)))> |
#<alt (* -1/2 (* x y))> |
#<alt (* -1 (* y (+ (* -1 (/ z y)) (* 1/2 x))))> |
#<alt (* -1 (* y (+ (* -1 (/ z y)) (* 1/2 x))))> |
#<alt (* -1 (* y (+ (* -1 (/ z y)) (* 1/2 x))))> |
#<alt (* -1/2 (* x y))> |
#<alt (+ z (* -1/2 (* x y)))> |
#<alt (+ z (* -1/2 (* x y)))> |
#<alt (+ z (* -1/2 (* x y)))> |
#<alt z> |
#<alt (* z (+ 1 (* -1/2 (/ (* x y) z))))> |
#<alt (* z (+ 1 (* -1/2 (/ (* x y) z))))> |
#<alt (* z (+ 1 (* -1/2 (/ (* x y) z))))> |
#<alt z> |
#<alt (* -1 (* z (- (* 1/2 (/ (* x y) z)) 1)))> |
#<alt (* -1 (* z (- (* 1/2 (/ (* x y) z)) 1)))> |
#<alt (* -1 (* z (- (* 1/2 (/ (* x y) z)) 1)))> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* z (sin y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt x> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))> |
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (sin y))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* y z)> |
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* y z)> |
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))> |
#<alt (* -1/5040 (* (pow y 7) z))> |
#<alt (* (pow y 7) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))> |
#<alt (* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))> |
#<alt (* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6))))))> |
#<alt (* -1/5040 (* (pow y 7) z))> |
#<alt (* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z))))> |
#<alt (* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4)))))))> |
#<alt (* -1 (* (pow y 7) (+ (* -1 (/ z (pow y 6))) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))))> |
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))> |
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))> |
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))> |
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))> |
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))> |
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))> |
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))> |
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))> |
#<alt (* -1 (* y (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))))> |
#<alt (* -1 (* y (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))))> |
#<alt (* -1 (* y (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))))> |
#<alt (* -1 (* y (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))))> |
#<alt z> |
#<alt (+ z (* -1/6 (* (pow y 2) z)))> |
#<alt (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))> |
#<alt (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))> |
#<alt (* -1/5040 (* (pow y 6) z))> |
#<alt (* (pow y 6) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))> |
#<alt (* (pow y 6) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))> |
#<alt (* (pow y 6) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6))))))> |
#<alt (* -1/5040 (* (pow y 6) z))> |
#<alt (* (pow y 6) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))> |
#<alt (* (pow y 6) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))> |
#<alt (* (pow y 6) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6))))))> |
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))> |
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))> |
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))> |
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))> |
#<alt x> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))> |
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
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#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y z)> |
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))> |
#<alt (* 1/120 (* (pow y 5) z))> |
#<alt (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))> |
#<alt (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))> |
#<alt (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))> |
#<alt (* 1/120 (* (pow y 5) z))> |
#<alt (* -1 (* (pow y 5) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))> |
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))> |
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))> |
#<alt -1/6> |
#<alt (- (* 1/120 (pow y 2)) 1/6)> |
#<alt (- (* 1/120 (pow y 2)) 1/6)> |
#<alt (- (* 1/120 (pow y 2)) 1/6)> |
#<alt (* 1/120 (pow y 2))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* 1/120 (pow y 2))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
186 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | y | @ | -inf | (/ 1 (- (* (cos y) x) (* z (sin y)))) |
| 3.0ms | z | @ | 0 | (+ (* y (+ (* x (* -1/2 y)) z)) x) |
| 1.0ms | y | @ | -inf | (* x (+ (* z (/ (sin y) x)) (cos y))) |
| 1.0ms | y | @ | inf | (* x (+ (* z (/ (sin y) x)) (cos y))) |
| 1.0ms | z | @ | inf | (* (- (* (cos y) x) (* z (sin y))) (/ 1 (- (* (cos y) x) (* z (sin y))))) |
| 1× | egg-herbie |
| 7 594× | lower-fma.f64 |
| 7 594× | lower-fma.f32 |
| 6 604× | lower-*.f64 |
| 6 604× | lower-*.f32 |
| 2 018× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 476 | 7205 |
| 1 | 1601 | 7065 |
| 2 | 5381 | 7029 |
| 0 | 8277 | 6452 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
1 |
(+ 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 |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(* -1/2 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 x) (/ z y))) |
(* (pow y 2) (+ (* -1/2 x) (+ (/ x (pow y 2)) (/ z y)))) |
(* (pow y 2) (+ (* -1/2 x) (+ (/ x (pow y 2)) (/ z y)))) |
(* -1/2 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 x) (/ z y))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x))) |
(* y z) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y z)) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y z)) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y z)) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y z) x)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y z) x)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y z) x)))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* 1/2 (pow y 2))) 1))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y z))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y z))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y z))) |
(* y z) |
(* z (+ y (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z)))) |
(* z (+ y (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z)))) |
(* z (+ y (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z)))) |
(* y z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z))))) |
z |
(+ z (* -1/2 (* x y))) |
(+ z (* -1/2 (* x y))) |
(+ z (* -1/2 (* x y))) |
(* -1/2 (* x y)) |
(* x (+ (* -1/2 y) (/ z x))) |
(* x (+ (* -1/2 y) (/ z x))) |
(* x (+ (* -1/2 y) (/ z x))) |
(* -1/2 (* x y)) |
(* -1 (* x (+ (* -1 (/ z x)) (* 1/2 y)))) |
(* -1 (* x (+ (* -1 (/ z x)) (* 1/2 y)))) |
(* -1 (* x (+ (* -1 (/ z x)) (* 1/2 y)))) |
z |
(+ z (* -1/2 (* x y))) |
(+ z (* -1/2 (* x y))) |
(+ z (* -1/2 (* x y))) |
(* -1/2 (* x y)) |
(* y (+ (* -1/2 x) (/ z y))) |
(* y (+ (* -1/2 x) (/ z y))) |
(* y (+ (* -1/2 x) (/ z y))) |
(* -1/2 (* x y)) |
(* -1 (* y (+ (* -1 (/ z y)) (* 1/2 x)))) |
(* -1 (* y (+ (* -1 (/ z y)) (* 1/2 x)))) |
(* -1 (* y (+ (* -1 (/ z y)) (* 1/2 x)))) |
(* -1/2 (* x y)) |
(+ z (* -1/2 (* x y))) |
(+ z (* -1/2 (* x y))) |
(+ z (* -1/2 (* x y))) |
z |
(* z (+ 1 (* -1/2 (/ (* x y) z)))) |
(* z (+ 1 (* -1/2 (/ (* x y) z)))) |
(* z (+ 1 (* -1/2 (/ (* x y) z)))) |
z |
(* -1 (* z (- (* 1/2 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* 1/2 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* 1/2 (/ (* x y) z)) 1))) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* -1/5040 (* (pow y 7) z)) |
(* (pow y 7) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))) |
(* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))) |
(* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6)))))) |
(* -1/5040 (* (pow y 7) z)) |
(* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))) |
(* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))) |
(* -1 (* (pow y 7) (+ (* -1 (/ z (pow y 6))) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4)))))))) |
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
(* y (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
(* -1 (* y (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))) |
(* -1 (* y (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))) |
(* -1 (* y (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))) |
(* -1 (* y (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))) |
z |
(+ z (* -1/6 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))) |
(* -1/5040 (* (pow y 6) z)) |
(* (pow y 6) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))) |
(* (pow y 6) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))) |
(* (pow y 6) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6)))))) |
(* -1/5040 (* (pow y 6) z)) |
(* (pow y 6) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))) |
(* (pow y 6) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))) |
(* (pow y 6) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6)))))) |
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
(* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
(* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
(* -1 (* z (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
1 |
(+ 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 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* -1/720 (pow y 6)) |
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* -1/720 (pow y 6)) |
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(/ (* z (sin y)) x) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(/ (* z (sin y)) x) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
1 |
(+ 1 (/ (* y z) x)) |
(+ 1 (* y (+ (* -1/2 y) (/ z x)))) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x)))) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(/ (* z (sin y)) x) |
(/ (+ (* x (cos y)) (* z (sin y))) x) |
(/ (+ (* x (cos y)) (* z (sin y))) x) |
(/ (+ (* x (cos y)) (* z (sin y))) x) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(/ y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(/ (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) |
(/ 1 x) |
(+ (/ 1 x) (/ (* y z) (pow x 2))) |
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(/ 1 (- (* x (cos y)) (* z (sin y)))) |
(/ 1 (- (* x (cos y)) (* z (sin y)))) |
(/ 1 (- (* x (cos y)) (* z (sin y)))) |
(/ 1 (- (* x (cos y)) (* z (sin y)))) |
(/ 1 (- (* x (cos y)) (* z (sin y)))) |
(/ 1 (- (* x (cos y)) (* z (sin y)))) |
(/ 1 (- (* x (cos y)) (* z (sin y)))) |
(/ 1 (- (* x (cos y)) (* z (sin y)))) |
(/ -1 (* z (sin y))) |
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(/ 1 (* x (cos y))) |
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x) |
(/ 1 (* x (cos y))) |
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(/ 1 (* x (cos y))) |
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(/ -1 (* z (sin y))) |
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z) |
(/ -1 (* z (sin y))) |
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* 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)) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
x |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* -1/6 z) |
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z))) |
(+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))) |
(+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))) |
(* -1/5040 (* (pow y 4) z)) |
(* (pow y 4) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))) |
(* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))) |
(* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))) |
(* -1/5040 (* (pow y 4) z)) |
(* (pow y 4) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))) |
(* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))) |
(* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))) |
(* -1/5040 (* (pow y 2) z)) |
(* -1/5040 (* (pow y 2) z)) |
(* -1/5040 (* (pow y 2) z)) |
(* -1/5040 (* (pow y 2) z)) |
(* -1/5040 (* (pow y 2) z)) |
(* -1/5040 (* (pow y 2) z)) |
(* -1/5040 (* (pow y 2) z)) |
(* -1/5040 (* (pow y 2) z)) |
(* -1/5040 (* (pow y 2) z)) |
(* -1/5040 (* (pow y 2) z)) |
(* -1/5040 (* (pow y 2) z)) |
(* -1/5040 (* (pow y 2) z)) |
(* -1/5040 (* (pow y 2) z)) |
(* -1/5040 (* (pow y 2) z)) |
(* -1/5040 (* (pow y 2) z)) |
(* -1/5040 (* (pow y 2) z)) |
(* -1/5040 (* (pow y 2) z)) |
(* -1/5040 (* (pow y 2) z)) |
(* -1/5040 (* (pow y 2) z)) |
(* -1/5040 (* (pow y 2) z)) |
(* -1/5040 (* (pow y 2) z)) |
(* -1/5040 (* (pow y 2) z)) |
(* -1/5040 (* (pow y 2) z)) |
(* -1/5040 (* (pow y 2) z)) |
(* 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)) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* 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 (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* 1/120 (* (pow y 5) z)) |
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4))))) |
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4))))) |
(* 1/120 (* (pow y 5) z)) |
(* -1 (* (pow y 5) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))) |
-1/6 |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (pow y 2)) 1/6) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
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#s(literal 1 binary64) |
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#s(literal 1 binary64) |
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#s(literal 1 binary64) |
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#s(literal 1 binary64) |
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(fma.f64 y z x) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal -1/6 binary64)))) z) x) |
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(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
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#s(literal 1 binary64) |
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(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
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(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) |
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(fma.f64 y z x) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x) |
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x |
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(*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(* 1/120 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/120 binary64)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
| 1× | batch-egg-rewrite |
| 4 736× | lower-*.f32 |
| 4 706× | lower-*.f64 |
| 3 898× | lower-/.f32 |
| 3 894× | lower-/.f64 |
| 3 664× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 473 |
| 0 | 112 | 416 |
| 1 | 443 | 416 |
| 2 | 2981 | 411 |
| 0 | 8317 | 406 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) |
(*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) |
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
(cos.f64 y) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x)) |
(fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x) |
(fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z)))) |
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z)) |
(fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 y y) |
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))) |
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) |
(/.f64 (sin.f64 y) x) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) |
(*.f64 z (sin.f64 y)) |
(*.f64 (cos.f64 y) x) |
#s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z))) |
#s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) |
(*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
| Outputs |
|---|
#s(literal 1 binary64) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)) (*.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(+.f64 (*.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64)) (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) #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 x x)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.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))))) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.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))))) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.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 (sin.f64 y)) (*.f64 (cos.f64 y) x))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))) |
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(fma.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64) (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x) (*.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(neg.f64 (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))))) |
(/.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.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 x x) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.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 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 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 x x) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.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 x x) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))) (neg.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 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))) (neg.f64 (*.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 x x) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.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 x x)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (neg.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.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 x x) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) #s(literal -1 binary64)) (neg.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))) (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) (*.f64 (*.f64 z z) (-.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 z) (*.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.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 x x) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)))) (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.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 x x) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))) |
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) #s(literal -1/2 binary64)) |
(*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) |
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(fma.f64 z (*.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) (*.f64 y z)) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 y (*.f64 y y)) z) (*.f64 y z)) |
(fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z) (*.f64 y z)) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z (*.f64 y z)) |
(fma.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 y (*.f64 y z)) (*.f64 y z)) |
(fma.f64 (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 y (*.f64 y y)) (*.f64 y z)) |
(fma.f64 (*.f64 z (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y z)) |
(fma.f64 (*.f64 z (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) (*.f64 y y) (*.f64 y z)) |
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z)))) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 y (*.f64 y y)) z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 y (*.f64 y y)) z)) (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 y (*.f64 y y)) z)) (*.f64 y z))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 y (*.f64 y y)) z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 y (*.f64 y y)) z))) (*.f64 (*.f64 y z) (*.f64 y z))) (-.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 y (*.f64 y y)) z)) (*.f64 y z))) |
(/.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) (*.f64 y (*.f64 y y)))) (fma.f64 y (-.f64 y (*.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))) (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))))) |
(/.f64 (*.f64 z (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (neg.f64 y)))) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (neg.f64 y))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) (*.f64 y (*.f64 y y))) z) (fma.f64 y (-.f64 y (*.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))) (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (neg.f64 y))) z) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (neg.f64 y))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z))))) (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 y (*.f64 y y)) z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 y (*.f64 y y)) z)) (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 y (*.f64 y y)) z)) (*.f64 y z)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 y (*.f64 y y)) z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 y (*.f64 y y)) z))) (*.f64 (*.f64 y z) (*.f64 y z)))) (neg.f64 (-.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 y (*.f64 y y)) z)) (*.f64 y z)))) |
(/.f64 (neg.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))) (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))))) |
(/.f64 (neg.f64 (*.f64 z (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (neg.f64 y))))) (neg.f64 (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) (*.f64 y (*.f64 y y))) z)) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))) (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (neg.f64 y))) z)) (neg.f64 (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (neg.f64 y)))) |
(*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) z) |
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) |
(+.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (/.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y #s(literal 1/120 binary64)) y #s(literal -1/6 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64))))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))) |
(*.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
Compiled 49 250 to 2 201 computations (95.5% saved)
51 alts after pruning (43 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 481 | 18 | 1 499 |
| Fresh | 10 | 25 | 35 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 493 | 51 | 1 544 |
| Status | Accuracy | Program |
|---|---|---|
| 62.3% | (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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.f64 y))))))) | |
| 40.5% | (fma.f64 (*.f64 x (*.f64 x (cos.f64 y))) (/.f64 (cos.f64 y) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.f64 y))))))) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
| 76.1% | (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
| ✓ | 50.1% | (fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
| 50.0% | (fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) | |
| 49.8% | (fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 y z))) | |
| 76.1% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y))) | |
| 43.0% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 42.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* z (sin y))) (*.f64 z (sin.f64 y))))) | |
| 57.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* z (sin y))) (*.f64 x (cos.f64 y))))) | |
| 26.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (fma.f64 y (fma.f64 y (fma.f64 z (/.f64 z (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 z (*.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) x)))) | |
| 31.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x)))) | |
| 36.4% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))) | |
| 57.7% | (*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) #s(approx (/ 1 (- (* (cos y) x) (* z (sin y)))) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))))) | |
| 40.4% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) | |
| 42.9% | (*.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) | |
| 80.3% | #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 (/.f64 (sin.f64 y) x) (*.f64 z x) (*.f64 (cos.f64 y) x))) | |
| 99.7% | #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 (*.f64 x (/.f64 (sin.f64 y) x)) z (*.f64 (cos.f64 y) x))) | |
| ✓ | 50.3% | #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x)) |
| 32.7% | #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) (*.f64 (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))) x)) | |
| 33.9% | #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y #s(approx (+ (* x (* -1/2 y)) z) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x)) | |
| 50.6% | #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (/.f64 (*.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 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) x) (-.f64 (*.f64 (sin.f64 y) (/.f64 z x)) (cos.f64 y)))) | |
| 86.9% | #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))) | |
| 89.3% | #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)))) | |
| 69.3% | #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))))) | |
| 57.8% | #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (cos.f64 y))) | |
| 46.5% | #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 y (/.f64 z x) #s(literal 1 binary64))))) | |
| 35.6% | #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 z (sin.f64 y)) x)))) | |
| 92.9% | #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) (*.f64 z (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))))) | |
| 36.5% | #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)))) | |
| 43.3% | #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) #s(approx (+ (* y (+ (* x (* -1/2 y)) z)) x) (*.f64 z (+.f64 y (/.f64 (fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x) z))))) | |
| 3.0% | #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) #s(approx (+ (* y (+ (* x (* -1/2 y)) z)) x) (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y))))) | |
| ✓ | 52.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
| 13.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))))) | |
| 9.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (-.f64 (*.f64 y z) x)))) | |
| 28.7% | #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y z)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) | |
| 17.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))))))) | |
| 51.3% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y z x) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))) | |
| 28.7% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))) | |
| ✓ | 42.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) |
| 19.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z #s(approx (sin y) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y)))) | |
| 40.6% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y))))) | |
| ✓ | 18.6% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z))) |
| 18.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (*.f64 y z) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) | |
| 18.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z)))) | |
| 19.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 z (*.f64 y y)) (*.f64 z #s(literal -1/6 binary64))) z)))) | |
| 18.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)))) | |
| 18.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 z #s(literal -1/6 binary64))) z)))) | |
| ✓ | 18.5% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z)))) |
Compiled 2 834 to 842 computations (70.3% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) #s(approx (+ (* y (+ (* x (* -1/2 y)) z)) x) (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y))))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y #s(approx (+ (* x (* -1/2 y)) z) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)) |
#s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x)) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 z #s(literal -1/6 binary64))) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (*.f64 y z) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 y (/.f64 z x) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 x (neg.f64 (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal -1 binary64)))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)) |
#s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal -1/6 binary64)))) z) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y z x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) #s(approx (+ (* y (+ (* x (* -1/2 y)) z)) x) (*.f64 z (+.f64 y (/.f64 (fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x) z))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z #s(approx (sin y) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y z x) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 y z))) |
(+.f64 (*.f64 x #s(approx (cos y) (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)))) #s(approx (* z (sin y)) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 z (*.f64 y y)) (*.f64 z #s(literal -1/6 binary64))) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y z)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x)))) |
(+.f64 (*.f64 x #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 (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
(+.f64 (*.f64 x #s(approx (cos y) (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)))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z)))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) (*.f64 (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))) x)) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
(+.f64 (*.f64 x #s(approx (cos y) (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)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z))))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 z z))) (-.f64 (*.f64 y z) x)) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (fma.f64 y (fma.f64 y (fma.f64 z (/.f64 z (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 z (*.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (-.f64 (*.f64 y z) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) |
#s(approx (+ (* (cos y) x) (* z (sin y))) (*.f64 x (cos.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (cos.f64 y))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 z (sin.f64 y)) x)))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* z (sin y))) (*.f64 x (cos.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* z (sin y))) (*.f64 z (sin.f64 y))))) |
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) |
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) z)))) |
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 (*.f64 x (/.f64 (sin.f64 y) x)) z (*.f64 (cos.f64 y) x))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 (/.f64 (sin.f64 y) x) (*.f64 z x) (*.f64 (cos.f64 y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) (*.f64 z (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (exp.f64 (log.f64 (*.f64 z (sin.f64 y))))) |
(+.f64 (*.f64 x (cos.f64 y)) (exp.f64 (log.f64 (*.f64 z (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (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 z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (/.f64 (*.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 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) x) (-.f64 (*.f64 (sin.f64 y) (/.f64 z x)) (cos.f64 y)))) |
(*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) #s(approx (/ 1 (- (* (cos y) x) (* z (sin y)))) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))))) |
(*.f64 (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) |
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.f64 y))))))) |
(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 (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.f64 y))))))) |
(fma.f64 (*.f64 x (*.f64 x (cos.f64 y))) (/.f64 (cos.f64 y) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (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 (*.f64 x (cos.f64 y)) (*.f64 z (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 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (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 (*.f64 (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
4 calls:
| 44.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 33.0ms | z |
| 29.0ms | 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 (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) #s(approx (+ (* y (+ (* x (* -1/2 y)) z)) x) (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y))))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y #s(approx (+ (* x (* -1/2 y)) z) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)) |
#s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x)) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 z #s(literal -1/6 binary64))) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (*.f64 y z) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 y (/.f64 z x) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 x (neg.f64 (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal -1 binary64)))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)) |
#s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal -1/6 binary64)))) z) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y z x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) #s(approx (+ (* y (+ (* x (* -1/2 y)) z)) x) (*.f64 z (+.f64 y (/.f64 (fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x) z))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z #s(approx (sin y) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y z x) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 y z))) |
(+.f64 (*.f64 x #s(approx (cos y) (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)))) #s(approx (* z (sin y)) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 z (*.f64 y y)) (*.f64 z #s(literal -1/6 binary64))) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y z)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x)))) |
(+.f64 (*.f64 x #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 (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
(+.f64 (*.f64 x #s(approx (cos y) (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)))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z)))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) (*.f64 (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))) x)) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
(+.f64 (*.f64 x #s(approx (cos y) (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)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z))))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 z z))) (-.f64 (*.f64 y z) x)) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (fma.f64 y (fma.f64 y (fma.f64 z (/.f64 z (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 z (*.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (-.f64 (*.f64 y z) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) |
#s(approx (+ (* (cos y) x) (* z (sin y))) (*.f64 x (cos.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (cos.f64 y))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 z (sin.f64 y)) x)))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* z (sin y))) (*.f64 x (cos.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* z (sin y))) (*.f64 z (sin.f64 y))))) |
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) |
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) z)))) |
| Outputs |
|---|
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
4 calls:
| 23.0ms | y |
| 22.0ms | z |
| 20.0ms | x |
| 19.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.9% | 3 | x |
| 83.4% | 3 | y |
| 87.3% | 3 | z |
| 76.1% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) #s(approx (+ (* y (+ (* x (* -1/2 y)) z)) x) (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y))))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y #s(approx (+ (* x (* -1/2 y)) z) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)) |
#s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x)) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 z #s(literal -1/6 binary64))) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (*.f64 y z) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 y (/.f64 z x) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 x (neg.f64 (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal -1 binary64)))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)) |
#s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal -1/6 binary64)))) z) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y z x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) #s(approx (+ (* y (+ (* x (* -1/2 y)) z)) x) (*.f64 z (+.f64 y (/.f64 (fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x) z))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z #s(approx (sin y) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y z x) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 y z))) |
(+.f64 (*.f64 x #s(approx (cos y) (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)))) #s(approx (* z (sin y)) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 z (*.f64 y y)) (*.f64 z #s(literal -1/6 binary64))) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y z)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x)))) |
(+.f64 (*.f64 x #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 (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
(+.f64 (*.f64 x #s(approx (cos y) (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)))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z)))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) (*.f64 (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))) x)) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
(+.f64 (*.f64 x #s(approx (cos y) (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)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z))))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 z z))) (-.f64 (*.f64 y z) x)) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (fma.f64 y (fma.f64 y (fma.f64 z (/.f64 z (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 z (*.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (-.f64 (*.f64 y z) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) |
#s(approx (+ (* (cos y) x) (* z (sin y))) (*.f64 x (cos.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (cos.f64 y))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y))) |
1 calls:
| 17.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.3% | 3 | z |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) #s(approx (+ (* y (+ (* x (* -1/2 y)) z)) x) (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y))))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y #s(approx (+ (* x (* -1/2 y)) z) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)) |
#s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x)) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 z #s(literal -1/6 binary64))) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (*.f64 y z) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 y (/.f64 z x) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 x (neg.f64 (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal -1 binary64)))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)) |
#s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal -1/6 binary64)))) z) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y z x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) #s(approx (+ (* y (+ (* x (* -1/2 y)) z)) x) (*.f64 z (+.f64 y (/.f64 (fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x) z))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z #s(approx (sin y) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y z x) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 y z))) |
(+.f64 (*.f64 x #s(approx (cos y) (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)))) #s(approx (* z (sin y)) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 z (*.f64 y y)) (*.f64 z #s(literal -1/6 binary64))) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y z)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x)))) |
(+.f64 (*.f64 x #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 (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
(+.f64 (*.f64 x #s(approx (cos y) (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)))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z)))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) (*.f64 (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))) x)) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
(+.f64 (*.f64 x #s(approx (cos y) (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)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z))))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 z z))) (-.f64 (*.f64 y z) x)) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (fma.f64 y (fma.f64 y (fma.f64 z (/.f64 z (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 z (*.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (-.f64 (*.f64 y z) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) |
#s(approx (+ (* (cos y) x) (* z (sin y))) (*.f64 x (cos.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (cos.f64 y))) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) |
3 calls:
| 43.0ms | x |
| 17.0ms | z |
| 15.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.2% | 4 | y |
| 74.0% | 3 | x |
| 76.0% | 3 | z |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) #s(approx (+ (* y (+ (* x (* -1/2 y)) z)) x) (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y))))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y #s(approx (+ (* x (* -1/2 y)) z) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)) |
#s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x)) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 z #s(literal -1/6 binary64))) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (*.f64 y z) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 y (/.f64 z x) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 x (neg.f64 (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal -1 binary64)))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)) |
#s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal -1/6 binary64)))) z) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y z x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) #s(approx (+ (* y (+ (* x (* -1/2 y)) z)) x) (*.f64 z (+.f64 y (/.f64 (fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x) z))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z #s(approx (sin y) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y z x) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 y z))) |
(+.f64 (*.f64 x #s(approx (cos y) (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)))) #s(approx (* z (sin y)) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 z (*.f64 y y)) (*.f64 z #s(literal -1/6 binary64))) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y z)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x)))) |
(+.f64 (*.f64 x #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 (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
(+.f64 (*.f64 x #s(approx (cos y) (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)))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z)))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) (*.f64 (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))) x)) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
(+.f64 (*.f64 x #s(approx (cos y) (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)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z))))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 z z))) (-.f64 (*.f64 y z) x)) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (fma.f64 y (fma.f64 y (fma.f64 z (/.f64 z (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 z (*.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (-.f64 (*.f64 y z) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
3 calls:
| 16.0ms | z |
| 15.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 14.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.9% | 3 | z |
| 61.9% | 3 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 74.7% | 3 | y |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) #s(approx (+ (* y (+ (* x (* -1/2 y)) z)) x) (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y))))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y #s(approx (+ (* x (* -1/2 y)) z) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x)) |
#s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x)) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 z #s(literal -1/6 binary64))) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (*.f64 y z) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) (fma.f64 y (/.f64 z x) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 x (neg.f64 (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal -1 binary64)))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x)) |
#s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal -1/6 binary64)))) z) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* z (sin y))) (fma.f64 y z x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) #s(approx (+ (* y (+ (* x (* -1/2 y)) z)) x) (*.f64 z (+.f64 y (/.f64 (fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x) z))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (* z (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) (*.f64 y (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y z)))))) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z #s(approx (sin y) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y z x) (*.f64 (-.f64 (*.f64 y z) x) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 y z))) |
(+.f64 (*.f64 x #s(approx (cos y) (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)))) #s(approx (* z (sin y)) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 z (*.f64 y y)) (*.f64 z #s(literal -1/6 binary64))) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y z)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
(+.f64 (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x)))) |
(+.f64 (*.f64 x #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 (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
(+.f64 (*.f64 x #s(approx (cos y) (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)))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z)))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) (*.f64 (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))) x)) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
(+.f64 (*.f64 x #s(approx (cos y) (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)))) #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z))))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 z z))) (-.f64 (*.f64 y z) x)) (*.f64 (-.f64 (*.f64 y z) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (*.f64 y z) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (-.f64 x (*.f64 y z)))))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (fma.f64 y (fma.f64 y (fma.f64 z (/.f64 z (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 z (*.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x x)) (-.f64 (*.f64 y z) x)))) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
4 calls:
| 19.0ms | y |
| 16.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 15.0ms | z |
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.0% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 52.0% | 1 | z |
| 52.0% | 1 | x |
| 52.0% | 1 | y |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z))) |
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z))) |
4 calls:
| 2.0ms | y |
| 2.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | z |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.5% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 39.5% | 2 | z |
| 40.4% | 3 | x |
| 36.5% | 1 | y |
Compiled 24 to 17 computations (29.2% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z))) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z))) |
4 calls:
| 2.0ms | x |
| 1.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | z |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 18.6% | 1 | y |
| 18.6% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 18.6% | 1 | x |
| 18.6% | 1 | z |
Compiled 24 to 17 computations (29.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 3.0817352078004424e-181 | 2.7653577441248454e-178 |
| 20.0ms | -1.8093760019344273e-55 | -4.2828704993332055e-62 |
| 24.0ms | 272× | 0 | valid |
Compiled 372 to 252 computations (32.3% saved)
ival-cos: 6.0ms (34.8% of total)ival-sin: 6.0ms (34.8% of total)ival-mult: 4.0ms (23.2% of total)ival-add: 1.0ms (5.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.0817352078004424e-181 | 2.7653577441248454e-178 |
| 1.0ms | -1.8093760019344273e-55 | -4.2828704993332055e-62 |
Compiled 372 to 252 computations (32.3% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 54.0ms | 2.5499684890557816e+62 | 1.0330886158277083e+66 |
| 17.0ms | 0.27739869641040776 | 2834.176686299195 |
| 18.0ms | -168083714694478500.0 | -0.014215202539804265 |
| 73.0ms | 416× | 0 | valid |
Compiled 1 023 to 578 computations (43.5% saved)
ival-cos: 45.0ms (71.5% of total)ival-sin: 11.0ms (17.5% of total)ival-mult: 5.0ms (7.9% of total)ival-add: 2.0ms (3.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.27739869641040776 | 2834.176686299195 |
| 1.0ms | -168083714694478500.0 | -0.014215202539804265 |
Compiled 879 to 482 computations (45.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 1.511262292689267e+111 | 3.2098293674426267e+119 |
| 30.0ms | 144× | 0 | valid |
Compiled 177 to 113 computations (36.2% saved)
ival-cos: 3.0ms (37.3% of total)ival-mult: 2.0ms (24.8% of total)ival-sin: 2.0ms (24.8% of total)ival-add: 1.0ms (12.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 16× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 347 |
| 1 | 87 | 347 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
(if (<=.f64 z #s(literal -5201597758707563/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 4927435867031971/18249762470488780874564686422801165299572914028994239722316770071597100668834709546023651245269485599114569238294377629242754818885501751993010645278888856753007978697441059800331496768986415104 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) |
(if (<=.f64 z #s(literal -5201597758707563/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 4927435867031971/18249762470488780874564686422801165299572914028994239722316770071597100668834709546023651245269485599114569238294377629242754818885501751993010645278888856753007978697441059800331496768986415104 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y))))) |
(if (<=.f64 y #s(literal -6124895493223875/9007199254740992 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 8286623314361713/9007199254740992 binary64)) (fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) (if (<=.f64 y #s(literal 349999999999999983712745046681866484495561723304188661962113024 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))))) |
(if (<=.f64 y #s(literal -6124895493223875/9007199254740992 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 8286623314361713/9007199254740992 binary64)) (fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(if (<=.f64 z #s(literal 6500000000000000101136204841534479657743309079986899316903508772800419577570912071222405034447808409895340825640960 binary64)) #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)))) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
(if (<=.f64 z #s(literal -5201597758707563/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 4927435867031971/18249762470488780874564686422801165299572914028994239722316770071597100668834709546023651245269485599114569238294377629242754818885501751993010645278888856753007978697441059800331496768986415104 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) |
(if (<=.f64 z #s(literal -5201597758707563/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 4927435867031971/18249762470488780874564686422801165299572914028994239722316770071597100668834709546023651245269485599114569238294377629242754818885501751993010645278888856753007978697441059800331496768986415104 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) z (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))))) |
(if (<=.f64 z #s(literal -5201597758707563/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 4927435867031971/18249762470488780874564686422801165299572914028994239722316770071597100668834709546023651245269485599114569238294377629242754818885501751993010645278888856753007978697441059800331496768986415104 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -5201597758707563/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 4927435867031971/18249762470488780874564686422801165299572914028994239722316770071597100668834709546023651245269485599114569238294377629242754818885501751993010645278888856753007978697441059800331496768986415104 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y))))) |
(if (<=.f64 y #s(literal -6124895493223875/9007199254740992 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 8286623314361713/9007199254740992 binary64)) (fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) (if (<=.f64 y #s(literal 349999999999999983712745046681866484495561723304188661962113024 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))))) |
(if (<=.f64 y #s(literal -6124895493223875/9007199254740992 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 8286623314361713/9007199254740992 binary64)) (fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) (if (<=.f64 y #s(literal 349999999999999983712745046681866484495561723304188661962113024 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))))) |
(if (<=.f64 y #s(literal -6124895493223875/9007199254740992 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 8286623314361713/9007199254740992 binary64)) (fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))) |
(if (<=.f64 y #s(literal -6124895493223875/9007199254740992 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 8286623314361713/9007199254740992 binary64)) (fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(if (<=.f64 z #s(literal 6500000000000000101136204841534479657743309079986899316903508772800419577570912071222405034447808409895340825640960 binary64)) #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)))) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z))) |
| 14 080× | lower-fma.f64 |
| 14 080× | lower-fma.f32 |
| 13 050× | lower-fma.f32 |
| 13 042× | lower-fma.f64 |
| 11 922× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 337 |
| 0 | 84 | 325 |
| 1 | 351 | 325 |
| 2 | 2480 | 325 |
| 0 | 9007 | 322 |
| 0 | 197 | 2986 |
| 1 | 596 | 2902 |
| 2 | 1690 | 2878 |
| 3 | 3451 | 2872 |
| 4 | 7094 | 2872 |
| 0 | 8245 | 2601 |
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 29 | 19 |
| 2 | 185 | 19 |
| 3 | 1836 | 19 |
| 0 | 8386 | 18 |
| 0 | 29 | 145 |
| 0 | 50 | 130 |
| 1 | 150 | 130 |
| 2 | 878 | 130 |
| 0 | 8443 | 129 |
| 0 | 398 | 6056 |
| 1 | 1326 | 5900 |
| 2 | 4526 | 5803 |
| 0 | 8480 | 5340 |
| 0 | 476 | 7205 |
| 1 | 1601 | 7065 |
| 2 | 5381 | 7029 |
| 0 | 8277 | 6452 |
| 0 | 93 | 620 |
| 1 | 295 | 616 |
| 2 | 892 | 610 |
| 3 | 2078 | 604 |
| 4 | 3746 | 604 |
| 5 | 6389 | 604 |
| 0 | 8805 | 554 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
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| 1× | node limit |
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| 1× | node limit |
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| 1× | node limit |
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Compiled 688 to 279 computations (59.4% saved)
Compiled 440 to 118 computations (73.2% saved)
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