
Time bar (total: 14.3s)
| 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)
| 956.0ms | 8 256× | 0 | valid |
ival-cos: 232.0ms (38.9% of total)ival-sin: 177.0ms (29.6% of total)ival-mult: 142.0ms (23.8% of total)ival-sub: 36.0ms (6% of total)ival-true: 6.0ms (1% of total)ival-assert: 3.0ms (0.5% of total)| 1× | egg-herbie |
| 208× | lower-fma.f64 |
| 208× | lower-fma.f32 |
| 178× | distribute-lft-neg-in |
| 166× | associate-*r* |
| 148× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 87 |
| 1 | 90 | 84 |
| 2 | 169 | 84 |
| 3 | 375 | 84 |
| 4 | 665 | 84 |
| 5 | 872 | 84 |
| 6 | 1052 | 84 |
| 7 | 1105 | 84 |
| 8 | 1113 | 84 |
| 9 | 1117 | 84 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 20 | 9 |
| 2 | 32 | 9 |
| 3 | 44 | 9 |
| 4 | 65 | 9 |
| 5 | 95 | 9 |
| 6 | 153 | 9 |
| 7 | 223 | 9 |
| 8 | 282 | 9 |
| 9 | 311 | 9 |
| 10 | 327 | 9 |
| 0 | 327 | 9 |
| 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))) |
| 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 |
| 50.0ms | 512× | 0 | valid |
Compiled 76 to 36 computations (52.6% saved)
ival-cos: 11.0ms (34.5% of total)ival-sin: 11.0ms (34.5% of total)ival-mult: 7.0ms (21.9% of total)ival-sub: 2.0ms (6.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (-.f64 (*.f64 x (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 | 0 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 208× | lower-fma.f64 |
| 208× | lower-fma.f32 |
| 144× | lower-*.f32 |
| 140× | lower-*.f64 |
| 64× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 20 | 24 |
| 2 | 32 | 24 |
| 3 | 44 | 24 |
| 4 | 65 | 24 |
| 5 | 95 | 24 |
| 6 | 153 | 24 |
| 7 | 223 | 24 |
| 8 | 282 | 24 |
| 9 | 311 | 24 |
| 10 | 327 | 24 |
| 0 | 327 | 24 |
| 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))) |
(*.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)) |
| 30.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-sin: 11.0ms (50.3% of total)ival-cos: 6.0ms (27.4% of total)ival-mult: 3.0ms (13.7% of total)ival-sub: 1.0ms (4.6% 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 (* -1 (* 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) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))> |
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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 (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin 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> |
#<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 | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (- (* x (cos y)) (* z (sin y))) |
| 1.0ms | x | @ | 0 | (- (* x (cos y)) (* z (sin y))) |
| 1.0ms | y | @ | inf | (- (* x (cos y)) (* z (sin y))) |
| 1.0ms | y | @ | -inf | (- (* x (cos y)) (* z (sin y))) |
| 0.0ms | y | @ | 0 | (- (* x (cos y)) (* z (sin y))) |
| 1× | egg-herbie |
| 12 044× | lower-fma.f64 |
| 12 044× | lower-fma.f32 |
| 4 682× | lower-*.f64 |
| 4 682× | lower-*.f32 |
| 1 796× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 624 |
| 1 | 292 | 619 |
| 2 | 837 | 613 |
| 3 | 2075 | 607 |
| 4 | 3601 | 607 |
| 5 | 6258 | 607 |
| 0 | 8452 | 586 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (* z (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin 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 |
(+ 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 |
|---|
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
x |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 z y)) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y)) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(-.f64 (*.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 y (*.f64 x (*.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 x) (*.f64 y (fma.f64 (*.f64 y 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 y (*.f64 y (*.f64 x (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 y (*.f64 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 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 y (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) 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)) |
(* 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 (*.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)) |
| 1× | batch-egg-rewrite |
| 10 986× | lower-fma.f64 |
| 10 986× | lower-fma.f32 |
| 4 356× | lower-*.f32 |
| 4 352× | lower-*.f64 |
| 3 866× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 33 | 19 |
| 2 | 210 | 19 |
| 3 | 1964 | 19 |
| 0 | 8379 | 19 |
| 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)) (neg.f64 (*.f64 z (sin.f64 y)))) |
(+.f64 (neg.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (neg.f64 (/.f64 (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 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (fma.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) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) #s(literal -1 binary64))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (/.f64 (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 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (fma.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) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) |
(-.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 9 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))))) (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 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 9 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))))) (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 (/.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 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 (/.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 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 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (*.f64 (cos.f64 y) (*.f64 x (*.f64 z (sin.f64 y)))))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (*.f64 (cos.f64 y) (*.f64 x (*.f64 z (sin.f64 y))))))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 9 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))))) (fma.f64 z (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (*.f64 (cos.f64 y) (*.f64 x (*.f64 z (sin.f64 y)))))))) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 9 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))))) (fma.f64 z (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (*.f64 (cos.f64 y) (*.f64 x (*.f64 z (sin.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 z (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (*.f64 (cos.f64 y) (*.f64 x (*.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 z (*.f64 z (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (*.f64 (cos.f64 y) (*.f64 x (*.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)))) (fma.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)))) (fma.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))))))) (fma.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))))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #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 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 9 binary64)) (*.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (+.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 z (sin.f64 y)) #s(literal 9 binary64)) (*.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (+.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 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.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 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 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))) |
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(*.f64 (pow.f64 (/.f64 (fma.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 (fma.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)))))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.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 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 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))))) |
(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))) |
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(*.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 15 516 to 728 computations (95.3% saved)
21 alts after pruning (21 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 304 | 21 | 325 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 305 | 21 | 326 |
| Status | Accuracy | Program |
|---|---|---|
| 51.4% | (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.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 (fma.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) (fma.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) (fma.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) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) | |
| ▶ | 99.8% | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
| ▶ | 99.8% | (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))) |
| 40.4% | (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (*.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 (fma.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))))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (/.f64 (fma.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 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))) (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) | |
| 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.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))))) | |
| 54.8% | (-.f64 (*.f64 x (cos.f64 y)) #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)))) | |
| 64.0% | (-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) | |
| 53.5% | (-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) z)))) | |
| 56.9% | (-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 y (fma.f64 z (*.f64 (*.f64 y y) #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 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
| 50.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) | |
| 50.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))) | |
| ▶ | 52.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
| 57.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) | |
| 42.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) |
Compiled 1 042 to 542 computations (48% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| ✓ | cost-diff | 320 | (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
| ✓ | cost-diff | 6720 | (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
| ✓ | cost-diff | 0 | (*.f64 z (sin.f64 y)) |
| ✓ | cost-diff | 0 | (neg.f64 (*.f64 z (sin.f64 y))) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))) |
| ✓ | cost-diff | 0 | (*.f64 z (sin.f64 y)) |
| ✓ | cost-diff | 0 | #s(approx (cos y) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| ✓ | cost-diff | 0 | (*.f64 z y) |
| ✓ | cost-diff | 0 | (-.f64 x (*.f64 z y)) |
| ✓ | cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
| ✓ | cost-diff | 0 | (*.f64 x (cos.f64 y)) |
| ✓ | cost-diff | 0 | (neg.f64 z) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
| 16 390× | lower-fma.f32 |
| 16 382× | lower-fma.f64 |
| 3 806× | lower-*.f32 |
| 3 788× | lower-*.f64 |
| 1 556× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 247 |
| 0 | 66 | 247 |
| 1 | 123 | 245 |
| 2 | 233 | 245 |
| 3 | 612 | 245 |
| 4 | 2108 | 241 |
| 5 | 4690 | 239 |
| 6 | 7125 | 239 |
| 0 | 8066 | 232 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
(sin.f64 y) |
y |
(neg.f64 z) |
z |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
(-.f64 x (*.f64 z y)) |
x |
(*.f64 z y) |
z |
y |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))) |
(cos.f64 y) |
y |
x |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.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)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) |
(cos.f64 (+.f64 y y)) |
(+.f64 y y) |
y |
(neg.f64 (*.f64 z z)) |
(*.f64 z z) |
z |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(*.f64 x x) |
x |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) |
#s(literal 1 binary64) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
(sin.f64 y) |
y |
(neg.f64 z) |
z |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z))) |
(-.f64 x (*.f64 z y)) |
(-.f64 x (*.f64 y z)) |
x |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (sin.f64 y) z)) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
y |
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
(cos.f64 y) |
y |
x |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) (fma.f64 z z (*.f64 x x)) (*.f64 (-.f64 x z) (+.f64 x z)))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) (fma.f64 z z (*.f64 x x)) (*.f64 (-.f64 x z) (+.f64 x z)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) |
(cos.f64 (+.f64 y y)) |
(+.f64 y y) |
y |
(neg.f64 (*.f64 z z)) |
(*.f64 z (neg.f64 z)) |
(*.f64 z z) |
z |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
(*.f64 x x) |
x |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) |
#s(literal 1 binary64) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.4% | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| ✓ | accuracy | 83.3% | (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
| ✓ | accuracy | 75.8% | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| ✓ | accuracy | 53.8% | (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
| ✓ | accuracy | 100.0% | (neg.f64 (*.f64 z (sin.f64 y))) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 99.9% | (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| ✓ | accuracy | 99.8% | (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| ✓ | accuracy | 54.7% | #s(approx (cos y) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 z y) |
| ✓ | accuracy | 100.0% | (-.f64 x (*.f64 z y)) |
| ✓ | accuracy | 52.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
| ✓ | accuracy | 100.0% | (neg.f64 z) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 99.9% | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
| ✓ | accuracy | 99.8% | (*.f64 x (cos.f64 y)) |
| 70.0ms | 81× | 1 | valid |
| 43.0ms | 133× | 0 | valid |
| 34.0ms | 42× | 2 | valid |
Compiled 244 to 34 computations (86.1% saved)
ival-mult: 49.0ms (42.2% of total)ival-cos: 28.0ms (24.1% of total)adjust: 11.0ms (9.5% of total)ival-add: 9.0ms (7.8% of total)ival-sin: 7.0ms (6% of total)ival-sub: 6.0ms (5.2% of total)ival-neg: 4.0ms (3.4% of total)ival-div: 3.0ms (2.6% 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) (neg.f64 z) (*.f64 x (cos.f64 y)))> |
#<alt (sin.f64 y)> |
#<alt (neg.f64 z)> |
#<alt (*.f64 x (cos.f64 y))> |
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))> |
#<alt (-.f64 x (*.f64 z y))> |
#<alt (*.f64 z y)> |
#<alt (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))> |
#<alt (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))> |
#<alt #s(approx (cos y) #s(literal 1 binary64))> |
#<alt (*.f64 z (sin.f64 y))> |
#<alt (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))> |
#<alt (cos.f64 y)> |
#<alt (neg.f64 (*.f64 z (sin.f64 y)))> |
#<alt (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))> |
#<alt (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))> |
#<alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))> |
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))> |
| Outputs |
|---|
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))> |
#<alt (+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (* x (cos y))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (* x (cos y))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* 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 (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 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 (* 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) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))> |
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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 (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* y z))> |
#<alt (- x (* y z))> |
#<alt (- x (* y z))> |
#<alt (- x (* y z))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ (* y z) x) 1)))> |
#<alt (* -1 (* x (- (/ (* y z) x) 1)))> |
#<alt (* -1 (* x (- (/ (* y z) x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (* -1 (* y z))> |
#<alt (* z (- (/ x z) y))> |
#<alt (* z (- (/ x z) y))> |
#<alt (* z (- (/ x z) y))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (* -1 (* y z))> |
#<alt (* y (- (/ x y) z))> |
#<alt (* y (- (/ x y) z))> |
#<alt (* y (- (/ x y) z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 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 (* y z)> |
#<alt (* -1 (* 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) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))> |
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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 (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin 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> |
#<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))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))> |
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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 (* -1 (* 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) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* x (cos y))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (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 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* y z))> |
#<alt (* y (- (* 1/6 (* (pow y 2) z)) z))> |
#<alt (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))> |
#<alt (* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (pow x 2)> |
#<alt (+ (* (pow y 2) (+ (* -1 (pow x 2)) (* -1 (pow z 2)))) (pow x 2))> |
#<alt (+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* 1/3 (pow x 2)) (* 1/3 (pow z 2))))))) (pow x 2))> |
#<alt (+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* 1/3 (pow x 2)) (+ (* 1/3 (pow z 2)) (* (pow y 2) (+ (* -2/45 (pow x 2)) (* -2/45 (pow z 2)))))))))) (pow x 2))> |
#<alt (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))> |
#<alt (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))> |
#<alt (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))> |
#<alt (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))> |
#<alt (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))> |
#<alt (* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))> |
#<alt (* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))> |
#<alt (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))> |
#<alt (* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))> |
#<alt (* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))> |
#<alt (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))> |
#<alt (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* y (- (* y (- (* -1 x) (* -1/2 x))) z)))> |
#<alt (+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (* -1/2 x))) x)))))) (* -1/2 x))) z)))> |
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))> |
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))> |
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))> |
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))> |
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))> |
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))> |
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))> |
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))> |
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))> |
#<alt (+ (* z (- (* z (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))> |
#<alt (+ (* z (- (* z (- (+ (* -1 (/ (* z (* (sin y) (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3))))))) (* x (cos y)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y))))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))> |
#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))))> |
#<alt (* z (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3))))))> |
#<alt (* z (- (+ (* -1 (/ (* x (* (cos y) (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))))) (* (pow z 3) (sin y)))) (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y))))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3))))))> |
#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))> |
#<alt (* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))> |
#<alt (* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (* (cos y) (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* z (sin y)))) (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))> |
#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))> |
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))))> |
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (+ (* -1 (/ (* x (* (cos y) (- (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* z (sin y)))) (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y)))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))> |
#<alt (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))> |
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))> |
#<alt (* x (- (+ (* -1 (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow x 3) (cos y)))) (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* x (cos y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))> |
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))> |
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))> |
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))> |
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))> |
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))> |
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))> |
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
111 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) |
| 3.0ms | z | @ | 0 | (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) |
| 2.0ms | y | @ | inf | (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) |
| 1.0ms | y | @ | -inf | (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) |
| 1.0ms | z | @ | inf | (neg z) |
| 1× | egg-herbie |
| 9 230× | lower-fma.f64 |
| 9 230× | lower-fma.f32 |
| 8 170× | lower-*.f64 |
| 8 170× | lower-*.f32 |
| 2 058× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 466 | 5353 |
| 1 | 1567 | 5202 |
| 2 | 5620 | 5128 |
| 0 | 8787 | 4866 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 (* y z))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* 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) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 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 (* 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) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (* z (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* y z)) |
(- x (* y z)) |
(- x (* y z)) |
(- x (* y z)) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
x |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(* -1 (* y z)) |
(* z (- (/ x z) y)) |
(* z (- (/ x z) y)) |
(* z (- (/ x z) y)) |
(* -1 (* y z)) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
x |
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(cos y) |
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(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y)))))) |
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x |
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(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y)))) |
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(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) |
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(* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))))) |
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(* z (- (+ (* -1 (/ (* x (* (cos y) (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))))) (* (pow z 3) (sin y)))) (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y))))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))))) |
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) |
(* -1 (* z (- (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))) |
(* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))) |
(* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (* (cos y) (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* z (sin y)))) (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))) |
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) |
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) |
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))))) |
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (+ (* -1 (/ (* x (* (cos y) (- (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* z (sin y)))) (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y)))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))))) |
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) |
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))) |
(* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))))) |
(* x (- (+ (* -1 (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow x 3) (cos y)))) (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))))) |
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) |
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))))) |
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))))) |
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* x (cos y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3)))) |
(- 1/2 (* 1/2 (cos (* 2 y)))) |
(- 1/2 (* 1/2 (cos (* 2 y)))) |
(- 1/2 (* 1/2 (cos (* 2 y)))) |
(- 1/2 (* 1/2 (cos (* 2 y)))) |
(- 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(- 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(- 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(- 1/2 (* 1/2 (cos (neg (* -2 y))))) |
1 |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
| Outputs |
|---|
x |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 y z)) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x) |
(+ x (* y (+ (* -1 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))) (neg.f64 z)) x) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) |
(* -1 (* z (sin y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) |
(* -1 (* z (sin y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* 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) (fma.f64 x #s(literal -1/2 binary64) (*.f64 x (*.f64 (*.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 #s(literal 1/24 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/720 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)) |
(* -1 (* z (sin y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))) |
x |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 y z)) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) |
(* -1 (* z (sin y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) |
(* -1 (* y z)) |
(*.f64 y (neg.f64 z)) |
(- x (* y z)) |
(-.f64 x (*.f64 y z)) |
(- x (* y z)) |
(-.f64 x (*.f64 y z)) |
(- x (* y z)) |
(-.f64 x (*.f64 y z)) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x) |
x |
(* -1 (* x (- (/ (* y z) x) 1))) |
(fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x) |
x |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 y z)) |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 y z)) |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 y z)) |
(* -1 (* y z)) |
(*.f64 y (neg.f64 z)) |
(* z (- (/ x z) y)) |
(*.f64 z (-.f64 (/.f64 x z) y)) |
(* z (- (/ x z) y)) |
(*.f64 z (-.f64 (/.f64 x z) y)) |
(* z (- (/ x z) y)) |
(*.f64 z (-.f64 (/.f64 x z) y)) |
(* -1 (* y z)) |
(*.f64 y (neg.f64 z)) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(*.f64 z (-.f64 (/.f64 x z) y)) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(*.f64 z (-.f64 (/.f64 x z) y)) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(*.f64 z (-.f64 (/.f64 x z) y)) |
x |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 y z)) |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 y z)) |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 y z)) |
(* -1 (* y z)) |
(*.f64 y (neg.f64 z)) |
(* y (- (/ x y) z)) |
(*.f64 y (-.f64 (/.f64 x y) z)) |
(* y (- (/ x y) z)) |
(*.f64 y (-.f64 (/.f64 x y) z)) |
(* y (- (/ x y) z)) |
(*.f64 y (-.f64 (/.f64 x y) z)) |
(* -1 (* y z)) |
(*.f64 y (neg.f64 z)) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(*.f64 y (-.f64 (/.f64 x y) z)) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(*.f64 y (-.f64 (/.f64 x y) z)) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(*.f64 y (-.f64 (/.f64 x y) z)) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* -1 (* z (sin y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))) |
x |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 y z)) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
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1 |
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(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
| 1× | batch-egg-rewrite |
| 7 316× | lower-fma.f32 |
| 7 308× | lower-fma.f64 |
| 5 156× | lower-*.f32 |
| 5 138× | lower-*.f64 |
| 4 388× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 158 |
| 0 | 66 | 131 |
| 1 | 244 | 111 |
| 2 | 1799 | 111 |
| 0 | 8953 | 111 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
(sin.f64 y) |
(neg.f64 z) |
(*.f64 x (cos.f64 y)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
(-.f64 x (*.f64 z y)) |
(*.f64 z y) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 z (sin.f64 y)) |
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))) |
(cos.f64 y) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| Outputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 (sin.f64 y) z))) |
(+.f64 (neg.f64 (*.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (*.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))) |
(-.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) (*.f64 (sin.f64 y) z)) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(fma.f64 x (cos.f64 y) (neg.f64 (*.f64 (sin.f64 y) z))) |
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 (sin.f64 y) z))) |
(fma.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64) (*.f64 x (cos.f64 y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))))) |
(fma.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (*.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 x (cos.f64 y))) |
(fma.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) z (*.f64 x (cos.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64))) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))))) |
(/.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) |
(/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64))) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) |
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(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (sin.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 y) (sin.f64 y)) |
(*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) |
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) |
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 y y)))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))) (neg.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 y y))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) |
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)))) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))) #s(literal -1 binary64)) |
(*.f64 (cos.f64 y) (cos.f64 y)) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
Compiled 54 544 to 2 091 computations (96.2% saved)
35 alts after pruning (32 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 347 | 29 | 1 376 |
| Fresh | 13 | 3 | 16 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 362 | 35 | 1 397 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
| ▶ | 52.6% | (fma.f64 (cos.f64 y) x (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))) |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))) |
| 54.8% | (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))) | |
| ▶ | 64.0% | (fma.f64 (cos.f64 y) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
| 56.9% | (fma.f64 (cos.f64 y) x #s(approx (neg (* z (sin y))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) | |
| 27.1% | (/.f64 (fma.f64 x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))) (fma.f64 x #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))) | |
| 40.4% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) | |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
| ✓ | 76.1% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 50.9% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) | |
| 50.9% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) | |
| 51.3% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.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)))) | |
| 40.3% | (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) | |
| 40.5% | (*.f64 (fma.f64 (*.f64 (*.f64 x (cos.f64 y)) x) (cos.f64 y) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) | |
| 27.1% | (*.f64 (fma.f64 x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)))) | |
| 99.6% | (*.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) | |
| 31.3% | (*.f64 #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) | |
| 52.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) | |
| 50.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) | |
| 50.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x)) | |
| 17.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (*.f64 y (*.f64 z (*.f64 y z))))) (*.f64 (fma.f64 y z x) (fma.f64 y z x)))) | |
| 17.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z))))))) | |
| ▶ | 28.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
| 24.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))) | |
| 28.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))) | |
| 18.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x)))))) | |
| 42.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y)))) | |
| 93.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))) | |
| 57.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) | |
| 40.7% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z)))) | |
| ▶ | 18.9% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))) |
| 57.5% | #s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) | |
| 26.5% | #s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y))))) | |
| 92.6% | #s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 (neg.f64 x) (fma.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y))))) |
Compiled 1 554 to 852 computations (45.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 (cos.f64 y) x (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))) |
| ✓ | cost-diff | 128 | (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) |
| ✓ | cost-diff | 192 | (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) |
| ✓ | cost-diff | 640 | (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) |
| ✓ | cost-diff | 0 | #s(approx (* z (sin y)) (*.f64 y z)) |
| ✓ | cost-diff | 0 | (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 (cos.f64 y) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
| ✓ | cost-diff | 0 | (fma.f64 y z x) |
| ✓ | cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
| ✓ | cost-diff | 1088 | (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))) |
| ✓ | cost-diff | 0 | (neg.f64 z) |
| ✓ | cost-diff | 0 | (*.f64 y (neg.f64 z)) |
| ✓ | cost-diff | 0 | #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))) |
| ✓ | cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))) |
| ✓ | cost-diff | 0 | (*.f64 x (cos.f64 y)) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
| 10 776× | lower-fma.f32 |
| 10 768× | lower-fma.f64 |
| 3 306× | lower-*.f32 |
| 3 290× | lower-*.f64 |
| 2 078× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 305 |
| 0 | 76 | 283 |
| 1 | 133 | 265 |
| 2 | 270 | 255 |
| 3 | 882 | 255 |
| 4 | 3596 | 255 |
| 5 | 6259 | 255 |
| 0 | 8347 | 252 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) |
(-.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) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))) |
#s(approx (- x (* z y)) (*.f64 y (neg.f64 z))) |
(*.f64 y (neg.f64 z)) |
y |
(neg.f64 z) |
z |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) |
(fma.f64 y z x) |
y |
z |
x |
(*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) |
(-.f64 x (*.f64 y z)) |
(*.f64 y z) |
(fma.f64 (cos.f64 y) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
(cos.f64 y) |
y |
x |
(neg.f64 #s(approx (* z (sin y)) (*.f64 y z))) |
#s(approx (* z (sin y)) (*.f64 y z)) |
(*.f64 y z) |
z |
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))) |
(cos.f64 y) |
y |
x |
(/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) |
(*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) |
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(cos.f64 (+.f64 y y)) |
(+.f64 y y) |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
(neg.f64 (*.f64 z z)) |
(*.f64 z z) |
z |
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) |
#s(literal 0 binary64) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) |
(-.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) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))) |
#s(approx (- x (* z y)) (*.f64 y (neg.f64 z))) |
(*.f64 y (neg.f64 z)) |
y |
(neg.f64 z) |
z |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))) |
(-.f64 x (*.f64 y z)) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))) |
(fma.f64 y z x) |
y |
z |
x |
(*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) |
(-.f64 x (*.f64 y z)) |
(*.f64 y z) |
(fma.f64 (cos.f64 y) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 y z))) |
(cos.f64 y) |
y |
x |
(neg.f64 #s(approx (* z (sin y)) (*.f64 y z))) |
#s(approx (* z (sin y)) (*.f64 y z)) |
(*.f64 y z) |
z |
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))) |
(fma.f64 (/.f64 z (sin.f64 y)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 x (cos.f64 y))) |
(cos.f64 y) |
y |
x |
(/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) |
(/.f64 (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (sin.f64 y)) |
(*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) |
(*.f64 z (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(cos.f64 (+.f64 y y)) |
(+.f64 y y) |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
(neg.f64 (*.f64 z z)) |
(*.f64 z z) |
z |
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) |
(*.f64 z (sin.f64 y)) |
#s(literal 0 binary64) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 (sin.f64 y) z) |
| ✓ | accuracy | 86.7% | (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) |
| ✓ | accuracy | 75.8% | (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 46.7% | (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) |
| ✓ | accuracy | 100.0% | (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 99.9% | (fma.f64 (cos.f64 y) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
| ✓ | accuracy | 50.6% | #s(approx (* z (sin y)) (*.f64 y z)) |
| ✓ | accuracy | 99.8% | (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))) |
| ✓ | accuracy | 52.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
| ✓ | accuracy | 47.2% | (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) |
| ✓ | accuracy | 100.0% | (*.f64 y (neg.f64 z)) |
| ✓ | accuracy | 100.0% | (neg.f64 z) |
| ✓ | accuracy | 53.6% | #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))) |
| ✓ | accuracy | 52.1% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))) |
| ✓ | accuracy | 99.8% | (*.f64 x (cos.f64 y)) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
| 91.0ms | 91× | 1 | valid |
| 76.0ms | 133× | 0 | valid |
| 25.0ms | 32× | 2 | valid |
Compiled 273 to 40 computations (85.3% saved)
ival-sin: 62.0ms (38.6% of total)ival-cos: 33.0ms (20.5% of total)ival-mult: 22.0ms (13.7% of total)ival-div: 11.0ms (6.8% of total)adjust: 10.0ms (6.2% of total)ival-add: 9.0ms (5.6% of total)ival-neg: 8.0ms (5% of total)ival-sub: 4.0ms (2.5% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))> |
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))> |
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))> |
#<alt (*.f64 x (cos.f64 y))> |
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))> |
#<alt #s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))> |
#<alt (*.f64 y (neg.f64 z))> |
#<alt (neg.f64 z)> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))> |
#<alt (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))> |
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))> |
#<alt (fma.f64 y z x)> |
#<alt (fma.f64 (cos.f64 y) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))> |
#<alt (cos.f64 y)> |
#<alt (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))> |
#<alt #s(approx (* z (sin y)) (*.f64 y z))> |
#<alt (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))> |
#<alt (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))> |
#<alt (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))> |
#<alt (fma.f64 (cos.f64 y) x (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))))> |
#<alt (*.f64 z (sin.f64 y))> |
#<alt (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))> |
#<alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))> |
#<alt (*.f64 (sin.f64 y) z)> |
| Outputs |
|---|
#<alt (* -1 (* 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) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))> |
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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 (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (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 (- (* -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))))> |
#<alt (- (* 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))))> |
#<alt (/ 1 (* x (cos y)))> |
#<alt (/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)> |
#<alt (/ (- (+ (/ 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)> |
#<alt (/ (- (+ (/ 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)> |
#<alt (/ 1 (* x (cos y)))> |
#<alt (* -1 (/ (- (* -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))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))> |
#<alt (* -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))> |
#<alt (/ 1 x)> |
#<alt (+ (/ 1 x) (/ (* y z) (pow x 2)))> |
#<alt (+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))> |
#<alt (+ (* 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))> |
#<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 (* x (cos y)))> |
#<alt (+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))> |
#<alt (+ (* 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))))> |
#<alt (+ (* 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))))> |
#<alt (/ -1 (* z (sin y)))> |
#<alt (/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)> |
#<alt (/ (- (* -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)> |
#<alt (/ (- (* -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)> |
#<alt (/ -1 (* z (sin y)))> |
#<alt (* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))> |
#<alt (* -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))> |
#<alt (* -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))> |
#<alt (* -1 (* 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) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))> |
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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 (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin 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> |
#<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 (* 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) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))> |
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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 (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* y z))> |
#<alt (- x (* y z))> |
#<alt (- x (* y z))> |
#<alt (- x (* y z))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ (* y z) x) 1)))> |
#<alt (* -1 (* x (- (/ (* y z) x) 1)))> |
#<alt (* -1 (* x (- (/ (* y z) x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (* -1 (* y z))> |
#<alt (* z (- (/ x z) y))> |
#<alt (* z (- (/ x z) y))> |
#<alt (* z (- (/ x z) y))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (* -1 (* y z))> |
#<alt (* y (- (/ x y) z))> |
#<alt (* y (- (/ x y) z))> |
#<alt (* y (- (/ x y) z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (* -1 (* y z))> |
#<alt (* y (- (/ x y) z))> |
#<alt (* y (- (/ x y) z))> |
#<alt (* y (- (/ x y) z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (* -1 (* y z))> |
#<alt (* z (- (/ x z) y))> |
#<alt (* z (- (/ x z) y))> |
#<alt (* z (- (/ x z) y))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))> |
#<alt (* -1 (* y z))> |
#<alt (- x (* y z))> |
#<alt (- x (* y z))> |
#<alt (- x (* y z))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ (* y z) x) 1)))> |
#<alt (* -1 (* x (- (/ (* y z) x) 1)))> |
#<alt (* -1 (* x (- (/ (* y z) x) 1)))> |
#<alt (/ 1 x)> |
#<alt (+ (/ 1 x) (/ (* y z) (pow x 2)))> |
#<alt (+ (* y (- (/ (* y (pow z 2)) (pow x 3)) (* -1 (/ z (pow x 2))))) (/ 1 x))> |
#<alt (+ (* y (- (* y (- (/ (* y (pow z 3)) (pow x 4)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))> |
#<alt (/ -1 (* y z))> |
#<alt (/ (- (* -1 (/ x (* y (pow z 2)))) (/ 1 z)) y)> |
#<alt (/ (- (* -1 (/ (pow x 2) (* (pow y 2) (pow z 3)))) (+ (/ 1 z) (/ x (* y (pow z 2))))) y)> |
#<alt (/ (- (* -1 (/ (pow x 3) (* (pow y 3) (pow z 4)))) (+ (/ 1 z) (+ (/ x (* y (pow z 2))) (/ (pow x 2) (* (pow y 2) (pow z 3)))))) y)> |
#<alt (/ -1 (* y z))> |
#<alt (* -1 (/ (+ (/ 1 z) (/ x (* y (pow z 2)))) y))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 2) (* y (pow z 3)))) (/ x (pow z 2))) y)) (/ 1 z)) y))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 4))) (* -1 (/ (pow x 2) (pow z 3)))) y)) (/ x (pow z 2))) y)) (/ 1 z)) y))> |
#<alt (/ 1 x)> |
#<alt (+ (/ 1 x) (/ (* y z) (pow x 2)))> |
#<alt (+ (* z (- (/ (* (pow y 2) z) (pow x 3)) (* -1 (/ y (pow x 2))))) (/ 1 x))> |
#<alt (+ (* z (- (* z (- (/ (* (pow y 3) z) (pow x 4)) (* -1 (/ (pow y 2) (pow x 3))))) (* -1 (/ y (pow x 2))))) (/ 1 x))> |
#<alt (/ -1 (* y z))> |
#<alt (/ (- (* -1 (/ x (* (pow y 2) z))) (/ 1 y)) z)> |
#<alt (/ (- (* -1 (/ (pow x 2) (* (pow y 3) (pow z 2)))) (+ (/ 1 y) (/ x (* (pow y 2) z)))) z)> |
#<alt (/ (- (* -1 (/ (pow x 3) (* (pow y 4) (pow z 3)))) (+ (/ 1 y) (+ (/ x (* (pow y 2) z)) (/ (pow x 2) (* (pow y 3) (pow z 2)))))) z)> |
#<alt (/ -1 (* y z))> |
#<alt (* -1 (/ (+ (/ 1 y) (/ x (* (pow y 2) z))) z))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 2) (* (pow y 3) z))) (/ x (pow y 2))) z)) (/ 1 y)) z))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* (pow y 4) z)) (* -1 (/ (pow x 2) (pow y 3)))) z)) (/ x (pow y 2))) z)) (/ 1 y)) z))> |
#<alt (/ -1 (* y z))> |
#<alt (- (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 (* y z)))> |
#<alt (- (* x (- (* -1 (/ x (* (pow y 3) (pow z 3)))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))> |
#<alt (- (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 4)))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (/ (* y z) x)) x)> |
#<alt (/ (- (+ 1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (* -1 (/ (* y z) x))) x)> |
#<alt (/ (- (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) (+ (* -1 (/ (* y z) x)) (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))))) x)> |
#<alt (/ 1 x)> |
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#<alt (* -1 (* z (sin y)))> |
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#<alt (* x (cos y))> |
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#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt x> |
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#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
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#<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)))> |
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#<alt (* x (cos y))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<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 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 (* 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 x> |
#<alt (+ x (* -1 (* y z)))> |
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#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
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#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
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#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
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#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* x (cos y))> |
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#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
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#<alt (* -1 (* y z))> |
#<alt (* y (- (* 1/6 (* (pow y 2) z)) z))> |
#<alt (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))> |
#<alt (* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))> |
#<alt (* -1 (* z (sin y)))> |
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#<alt (* -1 (* z (sin y)))> |
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#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
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#<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 (* -1 (* y z))> |
#<alt (* y (+ (* -1 z) (* -1 (* (pow y 2) (- (* -1/3 z) (* -1/6 z))))))> |
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z))))) (* -1 (- (* -1/3 z) (* -1/6 z)))))))> |
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (- (* -1/3 z) (* -1/6 z))) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* -1/315 z) (+ (* -1/6 (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z)))) (+ (* -1/5040 z) (* 1/120 (- (* -1/3 z) (* -1/6 z)))))))) (* -1 (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z))))))))))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))> |
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#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (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 (* -1 (* (pow y 2) (pow z 2)))> |
#<alt (* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2)))))> |
#<alt (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2))))))> |
#<alt (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* 1/3 (pow z 2)) (* (pow y 2) (+ (* -2/45 (pow z 2)) (* 1/315 (* (pow y 2) (pow z 2)))))))))> |
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))> |
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))> |
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))> |
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))> |
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))))> |
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))))> |
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))))> |
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))))> |
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))> |
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))> |
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))> |
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))> |
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))> |
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))> |
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))> |
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))> |
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))> |
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))> |
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))> |
#<alt (* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y))))))> |
#<alt x> |
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#<alt (+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))> |
#<alt (+ x (* y (+ (* -1 z) (* y (+ (* -1 (* y (- (* -1/3 z) (* -1/6 z)))) (* -1/2 x))))))> |
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#<alt (+ (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))> |
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#<alt (+ (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y)))> |
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#<alt (+ (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (+ (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))> |
#<alt (* x (cos y))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (* x (sin y))))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (* x (sin y))))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (* x (sin y))))))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (* x (sin y))))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (* x (sin y))))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (* x (sin y))))))> |
#<alt (* x (cos y))> |
#<alt (+ (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (* z (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))> |
#<alt (* -1 (* z (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (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 (pow x 2)> |
#<alt (+ (* y (+ (* -1 (* x z)) (* x z))) (pow x 2))> |
#<alt (+ (* y (+ (* -1 (* x z)) (+ (* -1 (* y (pow z 2))) (* x z)))) (pow x 2))> |
#<alt (+ (* y (+ (* -1 (* x z)) (+ (* -1 (* y (pow z 2))) (* x z)))) (pow x 2))> |
#<alt (* -1 (* (pow y 2) (pow z 2)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (pow z 2)) (/ (* x z) y))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (pow z 2)) (+ (/ (* x z) y) (/ (pow x 2) (pow y 2))))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (pow z 2)) (+ (/ (* x z) y) (/ (pow x 2) (pow y 2))))))> |
#<alt (* -1 (* (pow y 2) (pow z 2)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (* x z)) y)) (* -1 (pow z 2))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (+ (* -1 (/ (pow x 2) y)) (* x z))) y)) (* -1 (pow z 2))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (+ (* -1 (/ (pow x 2) y)) (* x z))) y)) (* -1 (pow z 2))))> |
#<alt (pow x 2)> |
#<alt (+ (* z (+ (* -1 (* x y)) (* x y))) (pow x 2))> |
#<alt (+ (* z (+ (* -1 (* x y)) (+ (* -1 (* (pow y 2) z)) (* x y)))) (pow x 2))> |
#<alt (+ (* z (+ (* -1 (* x y)) (+ (* -1 (* (pow y 2) z)) (* x y)))) (pow x 2))> |
#<alt (* -1 (* (pow y 2) (pow z 2)))> |
#<alt (* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (/ (* x y) z))))> |
#<alt (* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (+ (/ (* x y) z) (/ (pow x 2) (pow z 2))))))> |
#<alt (* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (+ (/ (* x y) z) (/ (pow x 2) (pow z 2))))))> |
#<alt (* -1 (* (pow y 2) (pow z 2)))> |
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (* x y)) z)) (* -1 (pow y 2))))> |
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (pow x 2) z)) (* x y))) z)) (* -1 (pow y 2))))> |
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (pow x 2) z)) (* x y))) z)) (* -1 (pow y 2))))> |
#<alt (* -1 (* (pow y 2) (pow z 2)))> |
#<alt (+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ (* -1 (* y z)) (* y z))))> |
#<alt (+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ x (+ (* -1 (* y z)) (* y z)))))> |
#<alt (+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ x (+ (* -1 (* y z)) (* y z)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (/ (* y z) x))))> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)))))> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (/ (* y z) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (* y z)) (* y z))) (/ (* (pow y 2) (pow z 2)) x)) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (* y z)) (* y z))) (/ (* (pow y 2) (pow z 2)) x)) x))))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))> |
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))> |
#<alt (+ 1/2 (* -1/2 (cos (* 2 y))))> |
#<alt (+ 1/2 (* -1/2 (cos (* 2 y))))> |
#<alt (+ 1/2 (* -1/2 (cos (* 2 y))))> |
#<alt (+ 1/2 (* -1/2 (cos (* 2 y))))> |
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))> |
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))> |
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))> |
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))> |
#<alt (* 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))> |
171 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | z | @ | 0 | (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) |
| 3.0ms | z | @ | inf | (- (* x (cos y)) (* z (sin y))) |
| 1.0ms | y | @ | inf | (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) |
| 1.0ms | y | @ | -inf | (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) |
| 1.0ms | x | @ | -inf | (/ 1 (- (* x (cos y)) (* z (sin y)))) |
| 1× | egg-herbie |
| 8 096× | lower-fma.f64 |
| 8 096× | lower-fma.f32 |
| 6 504× | lower-*.f64 |
| 6 504× | lower-*.f32 |
| 2 604× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 702 | 7002 |
| 1 | 2344 | 6677 |
| 2 | 7906 | 6665 |
| 0 | 8302 | 6406 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (* z (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (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) |
(+ (/ 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 (* 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)) |
(* -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) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (* z (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin 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 |
(+ 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 (* 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) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (* z (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* y z)) |
(- x (* y z)) |
(- x (* y z)) |
(- x (* y z)) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
x |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(* -1 (* y z)) |
(* z (- (/ x z) y)) |
(* z (- (/ x z) y)) |
(* z (- (/ x z) y)) |
(* -1 (* y z)) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(* -1 (* y z)) |
(* y (- (/ x y) z)) |
(* y (- (/ x y) z)) |
(* y (- (/ x y) z)) |
(* -1 (* y z)) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
x |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(* -1 (* y z)) |
(* y (- (/ x y) z)) |
(* y (- (/ x y) z)) |
(* y (- (/ x y) z)) |
(* -1 (* y z)) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(* -1 (* y z)) |
(* z (- (/ x z) y)) |
(* z (- (/ x z) y)) |
(* z (- (/ x z) y)) |
(* -1 (* y z)) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (* y z)) |
(- x (* y z)) |
(- x (* y z)) |
(- x (* y z)) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
x |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(/ 1 x) |
(+ (/ 1 x) (/ (* y z) (pow x 2))) |
(+ (* y (- (/ (* y (pow z 2)) (pow x 3)) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(+ (* y (- (* y (- (/ (* y (pow z 3)) (pow x 4)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(/ -1 (* y z)) |
(/ (- (* -1 (/ x (* y (pow z 2)))) (/ 1 z)) y) |
(/ (- (* -1 (/ (pow x 2) (* (pow y 2) (pow z 3)))) (+ (/ 1 z) (/ x (* y (pow z 2))))) y) |
(/ (- (* -1 (/ (pow x 3) (* (pow y 3) (pow z 4)))) (+ (/ 1 z) (+ (/ x (* y (pow z 2))) (/ (pow x 2) (* (pow y 2) (pow z 3)))))) y) |
(/ -1 (* y z)) |
(* -1 (/ (+ (/ 1 z) (/ x (* y (pow z 2)))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 2) (* y (pow z 3)))) (/ x (pow z 2))) y)) (/ 1 z)) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 4))) (* -1 (/ (pow x 2) (pow z 3)))) y)) (/ x (pow z 2))) y)) (/ 1 z)) y)) |
(/ 1 x) |
(+ (/ 1 x) (/ (* y z) (pow x 2))) |
(+ (* z (- (/ (* (pow y 2) z) (pow x 3)) (* -1 (/ y (pow x 2))))) (/ 1 x)) |
(+ (* z (- (* z (- (/ (* (pow y 3) z) (pow x 4)) (* -1 (/ (pow y 2) (pow x 3))))) (* -1 (/ y (pow x 2))))) (/ 1 x)) |
(/ -1 (* y z)) |
(/ (- (* -1 (/ x (* (pow y 2) z))) (/ 1 y)) z) |
(/ (- (* -1 (/ (pow x 2) (* (pow y 3) (pow z 2)))) (+ (/ 1 y) (/ x (* (pow y 2) z)))) z) |
(/ (- (* -1 (/ (pow x 3) (* (pow y 4) (pow z 3)))) (+ (/ 1 y) (+ (/ x (* (pow y 2) z)) (/ (pow x 2) (* (pow y 3) (pow z 2)))))) z) |
(/ -1 (* y z)) |
(* -1 (/ (+ (/ 1 y) (/ x (* (pow y 2) z))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 2) (* (pow y 3) z))) (/ x (pow y 2))) z)) (/ 1 y)) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* (pow y 4) z)) (* -1 (/ (pow x 2) (pow y 3)))) z)) (/ x (pow y 2))) z)) (/ 1 y)) z)) |
(/ -1 (* y z)) |
(- (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 (* y z))) |
(- (* x (- (* -1 (/ x (* (pow y 3) (pow z 3)))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z))) |
(- (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 4)))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z))) |
(/ 1 x) |
(/ (+ 1 (/ (* y z) x)) x) |
(/ (- (+ 1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (* -1 (/ (* y z) x))) x) |
(/ (- (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) (+ (* -1 (/ (* y z) x)) (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))))) x) |
(/ 1 x) |
(* -1 (/ (- (* -1 (/ (* y z) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) (pow z 2)) x) (* -1 (* y z))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow y 3) (pow z 3)) x)) (* (pow y 2) (pow z 2))) x)) (* -1 (* y z))) x)) 1) 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) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (* z (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
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))))) |
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))))) |
(* 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))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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))) |
(* -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) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (* z (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* y z)) |
(* y (- (* 1/6 (* (pow y 2) z)) z)) |
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z)) |
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z)) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* 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)) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (* -1 (* (pow y 2) (- (* -1/3 z) (* -1/6 z)))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z))))) (* -1 (- (* -1/3 z) (* -1/6 z))))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (- (* -1/3 z) (* -1/6 z))) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* -1/315 z) (+ (* -1/6 (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z)))) (+ (* -1/5040 z) (* 1/120 (- (* -1/3 z) (* -1/6 z)))))))) (* -1 (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z)))))))))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))) (sin y))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))) (sin y))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))) (sin y))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))) (sin y))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (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)) |
(* -1 (* (pow y 2) (pow z 2))) |
(* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2))))) |
(* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2)))))) |
(* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* 1/3 (pow z 2)) (* (pow y 2) (+ (* -2/45 (pow z 2)) (* 1/315 (* (pow y 2) (pow z 2))))))))) |
(* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) |
(* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) |
(* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) |
(* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) |
(* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y))))))) |
(* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y))))))) |
(* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y))))))) |
(* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (neg (* -2 y))))))) |
(* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) |
(* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) |
(* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) |
(* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) |
(* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) |
(* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) |
(* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) |
(* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) |
(* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) |
(* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) |
(* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) |
(* -1 (* (pow z 2) (+ 1/2 (* -1/2 (cos (* 2 y)))))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1 (* y (- (* -1/3 z) (* -1/6 z)))) (* -1/2 x)))))) |
(+ (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) (* x (cos y))) |
(+ (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) (* x (cos y))) |
(+ (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) (* x (cos y))) |
(+ (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) (* x (cos y))) |
(+ (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y))) |
(+ (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y))) |
(+ (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y))) |
(+ (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) |
(+ (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) (* x (cos y))) |
(+ (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) (* x (cos y))) |
(+ (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) (* x (cos y))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (* x (sin y)))))) |
(* x (+ (cos y) (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (* x (sin y)))))) |
(* x (+ (cos y) (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (* x (sin y)))))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (* x (sin y)))))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (* x (sin y)))))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (* x (sin y)))))) |
(* x (cos y)) |
(+ (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) (* x (cos y))) |
(+ (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) (* x (cos y))) |
(+ (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) (* x (cos y))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) |
(* z (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z))) |
(* -1 (* z (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))) |
(* -1 (* z (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))) |
(* -1 (* z (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))) |
(* -1 (* z (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (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)) |
(pow x 2) |
(+ (* y (+ (* -1 (* x z)) (* x z))) (pow x 2)) |
(+ (* y (+ (* -1 (* x z)) (+ (* -1 (* y (pow z 2))) (* x z)))) (pow x 2)) |
(+ (* y (+ (* -1 (* x z)) (+ (* -1 (* y (pow z 2))) (* x z)))) (pow x 2)) |
(* -1 (* (pow y 2) (pow z 2))) |
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (pow z 2)) (/ (* x z) y)))) |
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (pow z 2)) (+ (/ (* x z) y) (/ (pow x 2) (pow y 2)))))) |
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (pow z 2)) (+ (/ (* x z) y) (/ (pow x 2) (pow y 2)))))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (* x z)) y)) (* -1 (pow z 2)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (+ (* -1 (/ (pow x 2) y)) (* x z))) y)) (* -1 (pow z 2)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (+ (* -1 (/ (pow x 2) y)) (* x z))) y)) (* -1 (pow z 2)))) |
(pow x 2) |
(+ (* z (+ (* -1 (* x y)) (* x y))) (pow x 2)) |
(+ (* z (+ (* -1 (* x y)) (+ (* -1 (* (pow y 2) z)) (* x y)))) (pow x 2)) |
(+ (* z (+ (* -1 (* x y)) (+ (* -1 (* (pow y 2) z)) (* x y)))) (pow x 2)) |
(* -1 (* (pow y 2) (pow z 2))) |
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (/ (* x y) z)))) |
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (+ (/ (* x y) z) (/ (pow x 2) (pow z 2)))))) |
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (+ (/ (* x y) z) (/ (pow x 2) (pow z 2)))))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (* x y)) z)) (* -1 (pow y 2)))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (pow x 2) z)) (* x y))) z)) (* -1 (pow y 2)))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (pow x 2) z)) (* x y))) z)) (* -1 (pow y 2)))) |
(* -1 (* (pow y 2) (pow z 2))) |
(+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ (* -1 (* y z)) (* y z)))) |
(+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ x (+ (* -1 (* y z)) (* y z))))) |
(+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ x (+ (* -1 (* y z)) (* y z))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (/ (* y z) x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x))))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (/ (* y z) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (* y z)) (* y z))) (/ (* (pow y 2) (pow z 2)) x)) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (* y z)) (* y z))) (/ (* (pow y 2) (pow z 2)) x)) x)))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3)))) |
(+ 1/2 (* -1/2 (cos (* 2 y)))) |
(+ 1/2 (* -1/2 (cos (* 2 y)))) |
(+ 1/2 (* -1/2 (cos (* 2 y)))) |
(+ 1/2 (* -1/2 (cos (* 2 y)))) |
(+ 1/2 (* -1/2 (cos (neg (* -2 y))))) |
(+ 1/2 (* -1/2 (cos (neg (* -2 y))))) |
(+ 1/2 (* -1/2 (cos (neg (* -2 y))))) |
(+ 1/2 (* -1/2 (cos (neg (* -2 y))))) |
(* 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)) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
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(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (*.f64 (sin.f64 y) x)) (neg.f64 (cos.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (* x (sin y)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (*.f64 (sin.f64 y) x)) (neg.f64 (cos.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (* x (sin y)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (*.f64 (sin.f64 y) x)) (neg.f64 (cos.f64 y))) (neg.f64 x)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(+ (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) (* x (cos y))) |
(fma.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))) (*.f64 x (cos.f64 y))) |
(+ (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) (* x (cos y))) |
(fma.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))) (*.f64 x (cos.f64 y))) |
(+ (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) (* x (cos y))) |
(fma.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))) (*.f64 x (cos.f64 y))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y))) |
(/.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (sin.f64 y))) |
(* z (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))) |
(* z (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))) |
(* z (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))) |
(* -1 (* z (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))) |
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal 1/2 binary64) (sin.f64 y)))) |
(* -1 (* z (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))) |
(*.f64 (neg.f64 z) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal 1/2 binary64) (sin.f64 y))) (/.f64 (*.f64 x (cos.f64 y)) z))) |
(* -1 (* z (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))) |
(*.f64 (neg.f64 z) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal 1/2 binary64) (sin.f64 y))) (/.f64 (*.f64 x (cos.f64 y)) z))) |
(* -1 (* z (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))) |
(*.f64 (neg.f64 z) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal 1/2 binary64) (sin.f64 y))) (/.f64 (*.f64 x (cos.f64 y)) 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 (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 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 y (fma.f64 y (*.f64 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 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 z #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)) |
(pow x 2) |
(*.f64 x x) |
(+ (* y (+ (* -1 (* x z)) (* x z))) (pow x 2)) |
(*.f64 x (+.f64 x #s(literal 0 binary64))) |
(+ (* y (+ (* -1 (* x z)) (+ (* -1 (* y (pow z 2))) (* x z)))) (pow x 2)) |
(fma.f64 y (fma.f64 y (*.f64 z (neg.f64 z)) #s(literal 0 binary64)) (*.f64 x x)) |
(+ (* y (+ (* -1 (* x z)) (+ (* -1 (* y (pow z 2))) (* x z)))) (pow x 2)) |
(fma.f64 y (fma.f64 y (*.f64 z (neg.f64 z)) #s(literal 0 binary64)) (*.f64 x x)) |
(* -1 (* (pow y 2) (pow z 2))) |
(*.f64 y (*.f64 y (*.f64 z (neg.f64 z)))) |
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (pow z 2)) (/ (* x z) y)))) |
(*.f64 y (*.f64 y (fma.f64 z (/.f64 x y) (neg.f64 (fma.f64 z (/.f64 x y) (*.f64 z z)))))) |
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (pow z 2)) (+ (/ (* x z) y) (/ (pow x 2) (pow y 2)))))) |
(*.f64 (*.f64 y y) (+.f64 (fma.f64 z (/.f64 x y) (neg.f64 (fma.f64 z (/.f64 x y) (*.f64 z z)))) (/.f64 (*.f64 x x) (*.f64 y y)))) |
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (pow z 2)) (+ (/ (* x z) y) (/ (pow x 2) (pow y 2)))))) |
(*.f64 (*.f64 y y) (+.f64 (fma.f64 z (/.f64 x y) (neg.f64 (fma.f64 z (/.f64 x y) (*.f64 z z)))) (/.f64 (*.f64 x x) (*.f64 y y)))) |
(* -1 (* (pow y 2) (pow z 2))) |
(*.f64 y (*.f64 y (*.f64 z (neg.f64 z)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (* x z)) y)) (* -1 (pow z 2)))) |
(*.f64 (*.f64 y y) (-.f64 (/.f64 #s(literal 0 binary64) y) (*.f64 z z))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (+ (* -1 (/ (pow x 2) y)) (* x z))) y)) (* -1 (pow z 2)))) |
(*.f64 (*.f64 y (neg.f64 y)) (fma.f64 z z (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) #s(literal 0 binary64)) y))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (+ (* -1 (/ (pow x 2) y)) (* x z))) y)) (* -1 (pow z 2)))) |
(*.f64 (*.f64 y (neg.f64 y)) (fma.f64 z z (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) #s(literal 0 binary64)) y))) |
(pow x 2) |
(*.f64 x x) |
(+ (* z (+ (* -1 (* x y)) (* x y))) (pow x 2)) |
(*.f64 x (+.f64 x #s(literal 0 binary64))) |
(+ (* z (+ (* -1 (* x y)) (+ (* -1 (* (pow y 2) z)) (* x y)))) (pow x 2)) |
(fma.f64 y (fma.f64 y (*.f64 z (neg.f64 z)) #s(literal 0 binary64)) (*.f64 x x)) |
(+ (* z (+ (* -1 (* x y)) (+ (* -1 (* (pow y 2) z)) (* x y)))) (pow x 2)) |
(fma.f64 y (fma.f64 y (*.f64 z (neg.f64 z)) #s(literal 0 binary64)) (*.f64 x x)) |
(* -1 (* (pow y 2) (pow z 2))) |
(*.f64 y (*.f64 y (*.f64 z (neg.f64 z)))) |
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (/ (* x y) z)))) |
(*.f64 z (*.f64 z (fma.f64 y (/.f64 x z) (neg.f64 (fma.f64 y (/.f64 x z) (*.f64 y y)))))) |
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (+ (/ (* x y) z) (/ (pow x 2) (pow z 2)))))) |
(*.f64 (*.f64 z z) (-.f64 (fma.f64 y (neg.f64 y) (fma.f64 y (/.f64 x z) (*.f64 x (/.f64 x (*.f64 z z))))) (/.f64 (*.f64 y x) z))) |
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (+ (/ (* x y) z) (/ (pow x 2) (pow z 2)))))) |
(*.f64 (*.f64 z z) (-.f64 (fma.f64 y (neg.f64 y) (fma.f64 y (/.f64 x z) (*.f64 x (/.f64 x (*.f64 z z))))) (/.f64 (*.f64 y x) z))) |
(* -1 (* (pow y 2) (pow z 2))) |
(*.f64 y (*.f64 y (*.f64 z (neg.f64 z)))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (* x y)) z)) (* -1 (pow y 2)))) |
(*.f64 z (*.f64 z (fma.f64 y (neg.f64 y) (/.f64 #s(literal 0 binary64) z)))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (pow x 2) z)) (* x y))) z)) (* -1 (pow y 2)))) |
(*.f64 (*.f64 z (neg.f64 z)) (fma.f64 y y (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) z)) #s(literal 0 binary64)) z))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (pow x 2) z)) (* x y))) z)) (* -1 (pow y 2)))) |
(*.f64 (*.f64 z (neg.f64 z)) (fma.f64 y y (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) z)) #s(literal 0 binary64)) z))) |
(* -1 (* (pow y 2) (pow z 2))) |
(*.f64 y (*.f64 y (*.f64 z (neg.f64 z)))) |
(+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ (* -1 (* y z)) (* y z)))) |
(*.f64 y (fma.f64 y (*.f64 z (neg.f64 z)) #s(literal 0 binary64))) |
(+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ x (+ (* -1 (* y z)) (* y z))))) |
(fma.f64 y (fma.f64 y (*.f64 z (neg.f64 z)) #s(literal 0 binary64)) (*.f64 x x)) |
(+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ x (+ (* -1 (* y z)) (* y z))))) |
(fma.f64 y (fma.f64 y (*.f64 z (neg.f64 z)) #s(literal 0 binary64)) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (/ (* y z) x)))) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 z (*.f64 y y))) (neg.f64 (*.f64 x x))))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 z (*.f64 y y))) (neg.f64 (*.f64 x x))))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (/ (* y z) x)))) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (* y z)) (* y z))) (/ (* (pow y 2) (pow z 2)) x)) x)))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 y y))) (*.f64 x x)) #s(literal 0 binary64)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (* y z)) (* y z))) (/ (* (pow y 2) (pow z 2)) x)) x)))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 y y))) (*.f64 x x)) #s(literal 0 binary64)))) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) |
(*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) |
(*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3)))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/315 binary64) #s(literal 2/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(+ 1/2 (* -1/2 (cos (* 2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (* 2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (* 2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (* 2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (neg (* -2 y))))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (neg (* -2 y))))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (neg (* -2 y))))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (neg (* -2 y))))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 y (fma.f64 y (*.f64 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 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 z #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)) |
(* 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)) |
| 1× | batch-egg-rewrite |
| 5 516× | lower-fma.f32 |
| 5 508× | lower-fma.f64 |
| 4 788× | lower-*.f32 |
| 4 772× | lower-*.f64 |
| 4 734× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 253 |
| 0 | 76 | 231 |
| 1 | 280 | 210 |
| 2 | 1879 | 210 |
| 0 | 8285 | 210 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))) |
#s(approx (- x (* z y)) (*.f64 y (neg.f64 z))) |
(*.f64 y (neg.f64 z)) |
(neg.f64 z) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))) |
(/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
(fma.f64 y z x) |
(fma.f64 (cos.f64 y) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
(cos.f64 y) |
(neg.f64 #s(approx (* z (sin y)) (*.f64 y z))) |
#s(approx (* z (sin y)) (*.f64 y z)) |
(/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) |
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) |
(*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) |
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))) |
(*.f64 z (sin.f64 y)) |
(*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) |
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 y) z) |
| Outputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 x (cos.f64 y))) |
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(*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)) (-.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 3/2 binary64)) (*.f64 z z))) |
(*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)) (*.f64 z (sin.f64 y))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)) (*.f64 z (sin.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)) (*.f64 z (sin.f64 y))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) z)) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)) (sin.f64 y))) |
(*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)) z)) |
Compiled 53 283 to 4 353 computations (91.8% saved)
50 alts after pruning (46 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 955 | 37 | 1 992 |
| Fresh | 18 | 9 | 27 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 977 | 50 | 2 027 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))) |
| 54.8% | (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))) | |
| ▶ | 56.9% | (fma.f64 (cos.f64 y) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
| ▶ | 50.2% | (fma.f64 #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))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
| 50.3% | (fma.f64 #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) | |
| 47.3% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 75.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) | |
| 57.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))) | |
| 31.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) | |
| 57.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x))) | |
| 36.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))) | |
| 42.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) | |
| ✓ | 76.1% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 50.9% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) | |
| 50.9% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) | |
| 51.3% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.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)))) | |
| 40.5% | (*.f64 (fma.f64 (*.f64 (*.f64 x (cos.f64 y)) x) (cos.f64 y) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) | |
| 27.1% | (*.f64 (fma.f64 x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)))) | |
| 50.4% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) | |
| 50.2% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z) x)) | |
| ▶ | 93.2% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))) |
| 57.8% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x (cos.f64 y))) | |
| 42.2% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (neg.f64 (*.f64 z (sin.f64 y)))) | |
| ▶ | 52.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
| 17.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z))))))) | |
| 13.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (/.f64 (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (*.f64 (-.f64 (*.f64 y z) x) (fma.f64 y z x)))))) | |
| 12.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z)))))) | |
| 10.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 y (neg.f64 y)) (fma.f64 z z (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) #s(literal 0 binary64)) y))))))) | |
| 18.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x))))) | |
| 26.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) | |
| 23.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x))) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) | |
| 28.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))) | |
| 51.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))) | |
| 35.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x)))) | |
| 12.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 z (*.f64 y y)))) (/.f64 x (*.f64 y y)))) z)) (neg.f64 z))))) | |
| ▶ | 29.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x)))) |
| 18.9% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(literal -1 binary64) (*.f64 z y))))) | |
| 28.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))) | |
| 28.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))) | |
| 51.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) | |
| 40.7% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 y (-.f64 (/.f64 x y) z)))) | |
| 50.3% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (neg.f64 (*.f64 x (fma.f64 z (/.f64 y x) #s(literal -1 binary64)))))) | |
| 9.7% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (/.f64 (neg.f64 (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))))) | |
| ✓ | 18.9% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))) |
| 26.9% | #s(approx (+ (* (cos y) x) (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z)))) (/.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (sin.f64 y)))) | |
| 70.6% | #s(approx (+ (* (cos y) x) (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (*.f64 (sin.f64 y) x)) (neg.f64 (cos.f64 y))) (neg.f64 x))) | |
| 70.8% | #s(approx (+ (* (cos y) x) (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z)))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y)))))) | |
| 57.5% | #s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) | |
| 26.5% | #s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y))))) |
Compiled 1 965 to 1 093 computations (44.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
| ✓ | cost-diff | 0 | #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 (cos.f64 y) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x))) |
| ✓ | cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x)))) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) |
| ✓ | cost-diff | 320 | (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #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) #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 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
| ✓ | cost-diff | 0 | (neg.f64 z) |
| ✓ | cost-diff | 0 | (fma.f64 (neg.f64 z) y x) |
| ✓ | cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)) |
| ✓ | cost-diff | 0 | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))) |
| ✓ | cost-diff | 704 | (*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))) |
| 8 046× | lower-fma.f32 |
| 8 032× | lower-fma.f64 |
| 3 836× | lower-*.f32 |
| 3 818× | lower-*.f64 |
| 2 264× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 476 |
| 0 | 102 | 466 |
| 1 | 195 | 429 |
| 2 | 442 | 421 |
| 3 | 1124 | 416 |
| 4 | 3240 | 414 |
| 5 | 6312 | 414 |
| 0 | 8114 | 400 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))) |
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))) |
x |
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)) |
(cos.f64 y) |
y |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
(fma.f64 (neg.f64 z) y x) |
(neg.f64 z) |
z |
y |
x |
(fma.f64 #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))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
#s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
x |
(neg.f64 #s(approx (* z (sin y)) (*.f64 y z))) |
#s(approx (* z (sin y)) (*.f64 y z)) |
(*.f64 y z) |
z |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) |
(/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x) |
(fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) |
y |
(*.f64 y (/.f64 (*.f64 z z) x)) |
(/.f64 (*.f64 z z) x) |
(*.f64 z z) |
z |
x |
(*.f64 z y) |
(fma.f64 (cos.f64 y) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
(cos.f64 y) |
y |
x |
#s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) |
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
z |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 y y) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))) |
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))) |
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y)))) |
x |
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)) |
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) |
(cos.f64 y) |
y |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(*.f64 z (/.f64 (sin.f64 y) x)) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (-.f64 x (*.f64 y z))) |
(fma.f64 (neg.f64 z) y x) |
(-.f64 x (*.f64 y z)) |
(neg.f64 z) |
z |
y |
x |
(fma.f64 #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))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
(fma.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
#s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
#s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
x |
(neg.f64 #s(approx (* z (sin y)) (*.f64 y z))) |
#s(approx (* z (sin y)) (*.f64 y z)) |
(*.f64 y z) |
z |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x)))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 (fma.f64 (*.f64 y z) (/.f64 z x) z) (/.f64 y x) #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 (fma.f64 (*.f64 y z) (/.f64 z x) z) (/.f64 y x) #s(literal 1 binary64)) x))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x)) |
#s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 (fma.f64 (*.f64 y z) (/.f64 z x) z) (/.f64 y x) #s(literal 1 binary64)) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 y z) (/.f64 z x) z) (/.f64 y x) #s(literal 1 binary64)) x) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) |
(fma.f64 (fma.f64 (*.f64 y z) (/.f64 z x) z) (/.f64 y x) #s(literal 1 binary64)) |
(/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x) |
(/.f64 (*.f64 y (fma.f64 (*.f64 y z) (/.f64 z x) z)) x) |
(fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) |
(*.f64 y (fma.f64 (*.f64 y z) (/.f64 z x) z)) |
y |
(*.f64 y (/.f64 (*.f64 z z) x)) |
(/.f64 (*.f64 y (*.f64 z z)) x) |
(/.f64 (*.f64 z z) x) |
(*.f64 z z) |
z |
x |
(*.f64 z y) |
(*.f64 y z) |
(fma.f64 (cos.f64 y) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
(fma.f64 x (cos.f64 y) #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 (*.f64 y z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(cos.f64 y) |
y |
x |
#s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) |
#s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 (*.f64 y z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(*.f64 (*.f64 y z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
z |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 y y) |
#s(literal -1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (fma.f64 (cos.f64 y) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
| ✓ | accuracy | 99.8% | (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
| ✓ | accuracy | 92.9% | (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
| ✓ | accuracy | 50.4% | #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) |
| ✓ | accuracy | 91.1% | (*.f64 y (/.f64 (*.f64 z z) x)) |
| ✓ | accuracy | 85.3% | (/.f64 (*.f64 z z) x) |
| ✓ | accuracy | 52.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x)))) |
| ✓ | accuracy | 47.7% | #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x)) |
| ✓ | accuracy | 99.9% | (fma.f64 #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))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
| ✓ | accuracy | 99.5% | (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 50.6% | #s(approx (* z (sin y)) (*.f64 y z)) |
| ✓ | accuracy | 50.5% | #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))) |
| ✓ | accuracy | 100.0% | (fma.f64 (neg.f64 z) y x) |
| ✓ | accuracy | 100.0% | (neg.f64 z) |
| ✓ | accuracy | 52.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
| ✓ | accuracy | 100.0% | (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| ✓ | accuracy | 97.9% | (/.f64 (*.f64 z (sin.f64 y)) x) |
| ✓ | accuracy | 93.1% | (*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))) |
| 108.0ms | 95× | 1 | valid |
| 81.0ms | 133× | 0 | valid |
| 31.0ms | 28× | 2 | valid |
Compiled 338 to 62 computations (81.7% saved)
ival-cos: 48.0ms (26.2% of total)ival-mult: 37.0ms (20.2% of total)ival-div: 19.0ms (10.4% of total)ival-sin: 18.0ms (9.8% of total)adjust: 17.0ms (9.3% of total)ival-sub: 16.0ms (8.7% of total)ival-add: 16.0ms (8.7% of total)const: 7.0ms (3.8% of total)ival-neg: 4.0ms (2.2% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))> |
#<alt #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))))> |
#<alt (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))> |
#<alt (cos.f64 y)> |
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))> |
#<alt (fma.f64 (neg.f64 z) y x)> |
#<alt (neg.f64 z)> |
#<alt (fma.f64 #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))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))> |
#<alt #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)))> |
#<alt (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))> |
#<alt (*.f64 y y)> |
#<alt (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y))> |
#<alt (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x))> |
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x))))> |
#<alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x)))> |
#<alt (fma.f64 (cos.f64 y) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))> |
#<alt #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))> |
#<alt (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))> |
#<alt (/.f64 (*.f64 z (sin.f64 y)) x)> |
#<alt (*.f64 z (sin.f64 y))> |
#<alt #s(approx (* z (sin y)) (*.f64 y z))> |
#<alt (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))> |
#<alt #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x))> |
#<alt (/.f64 (*.f64 z z) x)> |
#<alt (*.f64 y (/.f64 (*.f64 z z) x))> |
#<alt (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))> |
#<alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))> |
| Outputs |
|---|
#<alt (* -1 (* z (sin y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (* x (cos y))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))> |
#<alt (+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))> |
#<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) (/ (* z (sin y)) x)))> |
#<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) (/ (* z (sin y)) x)))> |
#<alt (* x (cos y))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* 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) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))> |
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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 (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (* y z) x)))> |
#<alt (+ 1 (* y (- (* -1/2 y) (/ z x))))> |
#<alt (+ 1 (* y (- (* y (- (* 1/6 (/ (* y z) x)) 1/2)) (/ z x))))> |
#<alt (- (cos y) (/ (* z (sin y)) x))> |
#<alt (- (cos y) (/ (* z (sin y)) x))> |
#<alt (- (cos y) (/ (* z (sin y)) x))> |
#<alt (- (cos y) (/ (* z (sin y)) x))> |
#<alt (- (cos y) (/ (* z (sin y)) x))> |
#<alt (- (cos y) (/ (* z (sin y)) x))> |
#<alt (- (cos y) (/ (* z (sin y)) x))> |
#<alt (- (cos y) (/ (* z (sin y)) x))> |
#<alt (cos y)> |
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))> |
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))> |
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))> |
#<alt (* -1 (/ (* z (sin y)) x))> |
#<alt (* z (- (/ (cos y) z) (/ (sin y) x)))> |
#<alt (* z (- (/ (cos y) z) (/ (sin y) x)))> |
#<alt (* z (- (/ (cos y) z) (/ (sin y) x)))> |
#<alt (* -1 (/ (* z (sin y)) x))> |
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))> |
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))> |
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))> |
#<alt (* -1 (/ (* z (sin y)) x))> |
#<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 (cos y)> |
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))> |
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))> |
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))> |
#<alt (cos y)> |
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))> |
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))> |
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))> |
#<alt 1> |
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#<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)> |
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#<alt (- (* x (cos y)) (* z (sin y)))> |
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#<alt (* x (cos y))> |
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#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))> |
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))> |
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#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
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#<alt (+ x (* -1 (* y z)))> |
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#<alt (* z (+ (* -1 y) (/ x z)))> |
#<alt (* z (+ (* -1 y) (/ x z)))> |
#<alt (* z (+ (* -1 y) (/ x z)))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* z (+ y (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ y (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ y (* -1 (/ x z)))))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
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#<alt (+ x (* -1 (* y z)))> |
#<alt (* -1 (* y z))> |
#<alt (* y (+ (* -1 z) (/ x y)))> |
#<alt (* y (+ (* -1 z) (/ x y)))> |
#<alt (* y (+ (* -1 z) (/ x y)))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y (+ z (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ z (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ z (* -1 (/ x y)))))> |
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#<alt x> |
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#<alt (* x (+ 1 (* -1 (/ (* y z) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))> |
#<alt x> |
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#<alt (* -1 (* x (- (/ (* y z) x) 1)))> |
#<alt (* -1 (* x (- (/ (* y z) x) 1)))> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt x> |
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#<alt (+ x (* y (- (* -1/2 (* x y)) z)))> |
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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)))> |
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#<alt (- (* x (cos y)) (* z (sin y)))> |
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#<alt (* x (cos y))> |
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#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (cos y))> |
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#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
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#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
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#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt 1> |
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#<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)> |
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#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (* 1/24 (pow y 4))> |
#<alt (* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))> |
#<alt (* 1/24 (pow y 4))> |
#<alt (* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
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#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
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#<alt (* y (+ z (/ (* y (pow z 2)) x)))> |
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#<alt (* (pow y 2) (+ (/ z y) (/ (pow z 2) x)))> |
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#<alt (* y z)> |
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#<alt (* z (+ y (/ (* (pow y 2) z) x)))> |
#<alt (* z (+ y (/ (* (pow y 2) z) x)))> |
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#<alt (* (pow z 2) (+ (/ y z) (/ (pow y 2) x)))> |
#<alt (/ (* (pow y 2) (pow z 2)) x)> |
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#<alt (* (pow z 2) (+ (/ y z) (/ (pow y 2) x)))> |
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#<alt (/ (+ (* x (* y z)) (* (pow y 2) (pow z 2))) x)> |
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#<alt (* y z)> |
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#<alt (+ (* y z) (/ (* (pow y 2) (pow z 2)) x))> |
#<alt (+ (* y z) (/ (* (pow y 2) (pow z 2)) x))> |
#<alt (* y z)> |
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#<alt (+ (* y z) (/ (* (pow y 2) (pow z 2)) x))> |
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#<alt 1> |
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#<alt 1> |
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#<alt 1> |
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#<alt 1> |
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#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt x> |
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#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt x> |
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#<alt (+ x (* -1 (* y z)))> |
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#<alt x> |
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#<alt (+ x (* -1 (* y z)))> |
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#<alt (* -1 (* y z))> |
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#<alt (- x (* y z))> |
#<alt (- x (* y z))> |
#<alt x> |
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#<alt x> |
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#<alt (* -1 (* x (- (/ (* y z) x) 1)))> |
#<alt x> |
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#<alt (* x (cos y))> |
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#<alt (* x (+ (cos y) (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (* x (sin y))))))> |
#<alt (* x (cos y))> |
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#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (* x (sin y))))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (* x (sin y))))))> |
#<alt (* x (cos y))> |
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#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))> |
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#<alt (* -1 (* z (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))> |
#<alt (* -1 (* y z))> |
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#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z))))) (* -1 (- (* -1/3 z) (* -1/6 z)))))))> |
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (- (* -1/3 z) (* -1/6 z))) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* -1/315 z) (+ (* -1/6 (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z)))) (+ (* -1/5040 z) (* 1/120 (- (* -1/3 z) (* -1/6 z)))))))) (* -1 (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z))))))))))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (* -1 (* y z))> |
#<alt (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))> |
#<alt (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))> |
#<alt (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))> |
#<alt (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))> |
#<alt (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))> |
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* y z) x)> |
#<alt (* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))> |
#<alt (* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x)))> |
#<alt (* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x)))> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<alt (/ (* z (sin y)) x)> |
#<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 -1/2> |
#<alt (- (* 1/24 (pow y 2)) 1/2)> |
#<alt (- (* 1/24 (pow y 2)) 1/2)> |
#<alt (- (* 1/24 (pow y 2)) 1/2)> |
#<alt (* 1/24 (pow y 2))> |
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))> |
#<alt (* 1/24 (pow y 2))> |
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))> |
#<alt (/ 1 x)> |
#<alt (+ (/ 1 x) (/ (* y z) (pow x 2)))> |
#<alt (+ (* y (- (/ (* y (pow z 2)) (pow x 3)) (* -1 (/ z (pow x 2))))) (/ 1 x))> |
#<alt (+ (* y (- (* y (- (/ (* y (pow z 3)) (pow x 4)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))> |
#<alt (/ -1 (* y z))> |
#<alt (/ (- (* -1 (/ x (* y (pow z 2)))) (/ 1 z)) y)> |
#<alt (/ (- (* -1 (/ (pow x 2) (* (pow y 2) (pow z 3)))) (+ (/ 1 z) (/ x (* y (pow z 2))))) y)> |
#<alt (/ (- (* -1 (/ (pow x 3) (* (pow y 3) (pow z 4)))) (+ (/ 1 z) (+ (/ x (* y (pow z 2))) (/ (pow x 2) (* (pow y 2) (pow z 3)))))) y)> |
#<alt (/ -1 (* y z))> |
#<alt (* -1 (/ (+ (/ 1 z) (/ x (* y (pow z 2)))) y))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 2) (* y (pow z 3)))) (/ x (pow z 2))) y)) (/ 1 z)) y))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 4))) (* -1 (/ (pow x 2) (pow z 3)))) y)) (/ x (pow z 2))) y)) (/ 1 z)) y))> |
#<alt (/ 1 x)> |
#<alt (+ (/ 1 x) (/ (* y z) (pow x 2)))> |
#<alt (+ (* z (- (/ (* (pow y 2) z) (pow x 3)) (* -1 (/ y (pow x 2))))) (/ 1 x))> |
#<alt (+ (* z (- (* z (- (/ (* (pow y 3) z) (pow x 4)) (* -1 (/ (pow y 2) (pow x 3))))) (* -1 (/ y (pow x 2))))) (/ 1 x))> |
#<alt (/ -1 (* y z))> |
#<alt (/ (- (* -1 (/ x (* (pow y 2) z))) (/ 1 y)) z)> |
#<alt (/ (- (* -1 (/ (pow x 2) (* (pow y 3) (pow z 2)))) (+ (/ 1 y) (/ x (* (pow y 2) z)))) z)> |
#<alt (/ (- (* -1 (/ (pow x 3) (* (pow y 4) (pow z 3)))) (+ (/ 1 y) (+ (/ x (* (pow y 2) z)) (/ (pow x 2) (* (pow y 3) (pow z 2)))))) z)> |
#<alt (/ -1 (* y z))> |
#<alt (* -1 (/ (+ (/ 1 y) (/ x (* (pow y 2) z))) z))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 2) (* (pow y 3) z))) (/ x (pow y 2))) z)) (/ 1 y)) z))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* (pow y 4) z)) (* -1 (/ (pow x 2) (pow y 3)))) z)) (/ x (pow y 2))) z)) (/ 1 y)) z))> |
#<alt (/ -1 (* y z))> |
#<alt (- (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 (* y z)))> |
#<alt (- (* x (- (* -1 (/ x (* (pow y 3) (pow z 3)))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))> |
#<alt (- (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 4)))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (/ (* y z) x)) x)> |
#<alt (/ (- (+ 1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (* -1 (/ (* y z) x))) x)> |
#<alt (/ (- (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) (+ (* -1 (/ (* y z) x)) (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (* -1 (/ (* y z) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) (pow z 2)) x) (* -1 (* y z))) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow y 3) (pow z 3)) x)) (* (pow y 2) (pow z 2))) x)) (* -1 (* y z))) x)) 1) x))> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (pow z 2) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (/ (* y (pow z 2)) x)> |
#<alt (* z (- (* 1/6 (pow y 2)) 1))> |
#<alt (* z (- (* 1/6 (pow y 2)) 1))> |
#<alt (* z (- (* 1/6 (pow y 2)) 1))> |
#<alt (* z (- (* 1/6 (pow y 2)) 1))> |
#<alt (* z (- (* 1/6 (pow y 2)) 1))> |
#<alt (* z (- (* 1/6 (pow y 2)) 1))> |
#<alt (* z (- (* 1/6 (pow y 2)) 1))> |
#<alt (* z (- (* 1/6 (pow y 2)) 1))> |
#<alt (* z (- (* 1/6 (pow y 2)) 1))> |
#<alt (* z (- (* 1/6 (pow y 2)) 1))> |
#<alt (* z (- (* 1/6 (pow y 2)) 1))> |
#<alt (* z (- (* 1/6 (pow y 2)) 1))> |
#<alt (* -1 z)> |
#<alt (+ (* -1 z) (* 1/6 (* (pow y 2) z)))> |
#<alt (+ (* -1 z) (* 1/6 (* (pow y 2) z)))> |
#<alt (+ (* -1 z) (* 1/6 (* (pow y 2) z)))> |
#<alt (* 1/6 (* (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))> |
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))> |
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))> |
#<alt (* 1/6 (* (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))> |
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))> |
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))> |
#<alt -1> |
#<alt (- (* 1/6 (pow y 2)) 1)> |
#<alt (- (* 1/6 (pow y 2)) 1)> |
#<alt (- (* 1/6 (pow y 2)) 1)> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))> |
183 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | inf | (+ (* y (* y (/ (* z z) x))) (* z y)) |
| 1.0ms | z | @ | 0 | (* y (* z (+ (* 1/6 (* y y)) -1))) |
| 1.0ms | y | @ | -inf | (* x (- (cos y) (/ (* z (sin y)) x))) |
| 1.0ms | y | @ | inf | (* x (- (cos y) (/ (* z (sin y)) x))) |
| 1.0ms | y | @ | 0 | (* y (* z (+ (* 1/6 (* y y)) -1))) |
| 1× | egg-herbie |
| 6 880× | lower-fma.f64 |
| 6 880× | lower-fma.f32 |
| 6 384× | lower-*.f64 |
| 6 384× | lower-*.f32 |
| 2 094× | lower-neg.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 528 | 6918 |
| 1 | 1687 | 6749 |
| 2 | 5019 | 6722 |
| 0 | 8279 | 6466 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 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 (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -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) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (* z (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
1 |
(+ 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)) |
(cos y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(* -1 (/ (* 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))) |
(* -1 (/ (* 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 (/ (* 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) |
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(* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x))) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x))) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(/ (* z (sin y)) x) |
(* 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)) |
-1/2 |
(- (* 1/24 (pow y 2)) 1/2) |
(- (* 1/24 (pow y 2)) 1/2) |
(- (* 1/24 (pow y 2)) 1/2) |
(* 1/24 (pow y 2)) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* 1/24 (pow y 2)) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(/ 1 x) |
(+ (/ 1 x) (/ (* y z) (pow x 2))) |
(+ (* y (- (/ (* y (pow z 2)) (pow x 3)) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(+ (* y (- (* y (- (/ (* y (pow z 3)) (pow x 4)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(/ -1 (* y z)) |
(/ (- (* -1 (/ x (* y (pow z 2)))) (/ 1 z)) y) |
(/ (- (* -1 (/ (pow x 2) (* (pow y 2) (pow z 3)))) (+ (/ 1 z) (/ x (* y (pow z 2))))) y) |
(/ (- (* -1 (/ (pow x 3) (* (pow y 3) (pow z 4)))) (+ (/ 1 z) (+ (/ x (* y (pow z 2))) (/ (pow x 2) (* (pow y 2) (pow z 3)))))) y) |
(/ -1 (* y z)) |
(* -1 (/ (+ (/ 1 z) (/ x (* y (pow z 2)))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 2) (* y (pow z 3)))) (/ x (pow z 2))) y)) (/ 1 z)) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 4))) (* -1 (/ (pow x 2) (pow z 3)))) y)) (/ x (pow z 2))) y)) (/ 1 z)) y)) |
(/ 1 x) |
(+ (/ 1 x) (/ (* y z) (pow x 2))) |
(+ (* z (- (/ (* (pow y 2) z) (pow x 3)) (* -1 (/ y (pow x 2))))) (/ 1 x)) |
(+ (* z (- (* z (- (/ (* (pow y 3) z) (pow x 4)) (* -1 (/ (pow y 2) (pow x 3))))) (* -1 (/ y (pow x 2))))) (/ 1 x)) |
(/ -1 (* y z)) |
(/ (- (* -1 (/ x (* (pow y 2) z))) (/ 1 y)) z) |
(/ (- (* -1 (/ (pow x 2) (* (pow y 3) (pow z 2)))) (+ (/ 1 y) (/ x (* (pow y 2) z)))) z) |
(/ (- (* -1 (/ (pow x 3) (* (pow y 4) (pow z 3)))) (+ (/ 1 y) (+ (/ x (* (pow y 2) z)) (/ (pow x 2) (* (pow y 3) (pow z 2)))))) z) |
(/ -1 (* y z)) |
(* -1 (/ (+ (/ 1 y) (/ x (* (pow y 2) z))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 2) (* (pow y 3) z))) (/ x (pow y 2))) z)) (/ 1 y)) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* (pow y 4) z)) (* -1 (/ (pow x 2) (pow y 3)))) z)) (/ x (pow y 2))) z)) (/ 1 y)) z)) |
(/ -1 (* y z)) |
(- (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 (* y z))) |
(- (* x (- (* -1 (/ x (* (pow y 3) (pow z 3)))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z))) |
(- (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 4)))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z))) |
(/ 1 x) |
(/ (+ 1 (/ (* y z) x)) x) |
(/ (- (+ 1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (* -1 (/ (* y z) x))) x) |
(/ (- (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) (+ (* -1 (/ (* y z) x)) (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))))) x) |
(/ 1 x) |
(* -1 (/ (- (* -1 (/ (* y z) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) (pow z 2)) x) (* -1 (* y z))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow y 3) (pow z 3)) x)) (* (pow y 2) (pow z 2))) x)) (* -1 (* y z))) x)) 1) x)) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (pow z 2) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(/ (* y (pow z 2)) x) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* -1 z) |
(+ (* -1 z) (* 1/6 (* (pow y 2) z))) |
(+ (* -1 z) (* 1/6 (* (pow y 2) z))) |
(+ (* -1 z) (* 1/6 (* (pow y 2) z))) |
(* 1/6 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(* 1/6 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
-1 |
(- (* 1/6 (pow y 2)) 1) |
(- (* 1/6 (pow y 2)) 1) |
(- (* 1/6 (pow y 2)) 1) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))) |
x |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 z y)) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x) |
(* x (- (cos y) (/ (* z (sin y)) x))) |
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))) |
(* x (- (cos y) (/ (* z (sin y)) x))) |
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))) |
(* x (- (cos y) (/ (* z (sin y)) x))) |
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))) |
(* x (- (cos y) (/ (* z (sin y)) x))) |
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))) |
(* x (- (cos y) (/ (* z (sin y)) x))) |
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))) |
(* x (- (cos y) (/ (* z (sin y)) x))) |
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))) |
(* x (- (cos y) (/ (* z (sin y)) x))) |
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))) |
(* x (- (cos y) (/ (* z (sin y)) x))) |
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y))) |
x |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 z y)) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (* y z) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) |
(+ 1 (* y (- (* -1/2 y) (/ z x)))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z (neg.f64 x))) #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (- (* 1/6 (/ (* y z) x)) 1/2)) (/ z x)))) |
(fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 (/.f64 z x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 z x)) #s(literal 1 binary64)) |
(- (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)) |
(- (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)) |
(- (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)) |
(- (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)) |
(- (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)) |
(- (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)) |
(- (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)) |
(- (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
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(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* 1/6 (* (pow y 2) z))) |
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(+ (* -1 z) (* 1/6 (* (pow y 2) z))) |
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(+ (* -1 z) (* 1/6 (* (pow y 2) z))) |
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(* 1/6 (* (pow y 2) z)) |
(*.f64 z (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/6 binary64)) (/.f64 z (*.f64 y y)))) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/6 binary64)) (/.f64 z (*.f64 y y)))) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/6 binary64)) (/.f64 z (*.f64 y y)))) |
(* 1/6 (* (pow y 2) z)) |
(*.f64 z (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/6 binary64)) (/.f64 z (*.f64 y y)))) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/6 binary64)) (/.f64 z (*.f64 y y)))) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(*.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/6 binary64)) (/.f64 z (*.f64 y y)))) |
-1 |
#s(literal -1 binary64) |
(- (* 1/6 (pow y 2)) 1) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(- (* 1/6 (pow y 2)) 1) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(- (* 1/6 (pow y 2)) 1) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(* 1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(* 1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
| 1× | batch-egg-rewrite |
| 5 454× | lower-*.f32 |
| 5 436× | lower-*.f64 |
| 4 042× | lower-fma.f32 |
| 4 028× | lower-fma.f64 |
| 3 368× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 398 |
| 0 | 102 | 390 |
| 1 | 444 | 355 |
| 2 | 3344 | 355 |
| 0 | 8560 | 348 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))) |
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)) |
(cos.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
(fma.f64 (neg.f64 z) y x) |
(neg.f64 z) |
(fma.f64 #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))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
#s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 y y) |
(fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x))) |
(fma.f64 (cos.f64 y) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
#s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) |
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(/.f64 (*.f64 z (sin.f64 y)) x) |
(*.f64 z (sin.f64 y)) |
#s(approx (* z (sin y)) (*.f64 y z)) |
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
#s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x)) |
(/.f64 (*.f64 z z) x) |
(*.f64 y (/.f64 (*.f64 z z) x)) |
(*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 x (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))) |
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)) x)) |
(fma.f64 x (cos.f64 y) (*.f64 x (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))) |
(fma.f64 x (cos.f64 y) (*.f64 (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)) x)) |
(fma.f64 (cos.f64 y) x (*.f64 x (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))) |
(fma.f64 (cos.f64 y) x (*.f64 (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)) x)) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 y) (/.f64 z x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
(/.f64 (*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x)))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64))) x) (fma.f64 (*.f64 (sin.f64 y) (/.f64 z x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
(/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x))) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) |
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))) |
(*.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))) x) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))) |
(+.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x))) |
(+.f64 (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)) (cos.f64 y)) |
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 y) (/.f64 z x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 y) (/.f64 z x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.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)))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (/.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))) |
(fma.f64 z (neg.f64 (/.f64 (sin.f64 y) x)) (cos.f64 y)) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) |
(fma.f64 (*.f64 z (sin.f64 y)) (neg.f64 (/.f64 #s(literal 1 binary64) x)) (cos.f64 y)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) (/.f64 z x)) (cos.f64 y)) |
(fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (/.f64 #s(literal 1 binary64) x) (cos.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sin.f64 y) (/.f64 z x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 y) (/.f64 z x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x)) (*.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x))) (fma.f64 z (/.f64 (sin.f64 y) 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 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x))) (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (sin.f64 y) (/.f64 z x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x)))) (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 y) (/.f64 z x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (*.f64 (fma.f64 (*.f64 (sin.f64 y) (/.f64 z x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (sin.f64 y) (/.f64 z x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 (sin.f64 y) (/.f64 z x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x)))) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 y) (/.f64 z x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x)))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sin.f64 y) (/.f64 z x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.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 (*.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 binary64) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))) |
(cos.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z))) |
(+.f64 x (*.f64 y (neg.f64 z))) |
(+.f64 (*.f64 y (neg.f64 z)) x) |
(-.f64 x (*.f64 y z)) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))))) |
(-.f64 (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (neg.f64 (fma.f64 y z x))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 y z x)))) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x))) |
(fma.f64 y (neg.f64 z) x) |
(fma.f64 z (neg.f64 y) x) |
(fma.f64 (neg.f64 z) y x) |
(fma.f64 #s(literal -1 binary64) (*.f64 y z) x) |
(fma.f64 (neg.f64 y) z x) |
(fma.f64 (*.f64 y #s(literal -1 binary64)) z x) |
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(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/216 binary64)) (*.f64 z (*.f64 z z)) (neg.f64 (*.f64 z (*.f64 z z)))) (fma.f64 (*.f64 z (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (*.f64 z (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (-.f64 (*.f64 z z) (*.f64 (*.f64 z (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (neg.f64 z))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (*.f64 z (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) (*.f64 z z)) (-.f64 (*.f64 z (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (neg.f64 z))) |
(/.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/216 binary64) #s(literal -1 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/216 binary64) #s(literal -1 binary64)) z) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) z) |
(+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/216 binary64) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/216 binary64) #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/216 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/216 binary64) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/216 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/216 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
Compiled 25 495 to 2 044 computations (92% saved)
59 alts after pruning (53 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 165 | 22 | 1 187 |
| Fresh | 10 | 31 | 41 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 178 | 59 | 1 237 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))) |
| 54.8% | (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))) | |
| 50.0% | (fma.f64 #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 y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) | |
| ✓ | 50.2% | (fma.f64 #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))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
| 50.2% | (fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) | |
| 50.3% | (fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) | |
| 18.4% | (fma.f64 #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) | |
| 51.0% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) | |
| 47.3% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 75.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) | |
| 57.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))) | |
| 31.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) | |
| 57.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x))) | |
| 36.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))) | |
| 42.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) | |
| ✓ | 76.1% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 50.9% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) | |
| 50.9% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) | |
| 51.3% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.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)))) | |
| 40.5% | (*.f64 (fma.f64 (*.f64 (*.f64 x (cos.f64 y)) x) (cos.f64 y) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) | |
| 27.1% | (*.f64 (fma.f64 x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)))) | |
| 50.4% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) | |
| 50.2% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x)) | |
| 86.9% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))))) | |
| 89.3% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)))) | |
| 57.8% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x (cos.f64 y))) | |
| 44.7% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z (neg.f64 x))) #s(literal 1 binary64))))) | |
| 35.5% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x))))) | |
| 36.4% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) #s(literal 1 binary64)))) | |
| 42.2% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (neg.f64 (*.f64 z (sin.f64 y)))) | |
| ✓ | 52.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
| 17.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z)))))) | |
| 13.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (/.f64 (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (*.f64 (-.f64 (*.f64 y z) x) (fma.f64 y z x)))))) | |
| 12.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z)))))) | |
| 10.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 y (neg.f64 y)) (fma.f64 z z (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) #s(literal 0 binary64)) y))))))) | |
| 18.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x))))) | |
| 17.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z)))))) | |
| 26.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) | |
| 28.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))) | |
| 51.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))) | |
| 35.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 z (/.f64 y x) #s(literal 1 binary64)) x)))) | |
| 35.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x)))) | |
| 9.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 x (/.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 y y))))) (/.f64 x (*.f64 z (*.f64 y y))))) z)))) | |
| 14.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(approx (+ 1 (/ (+ (* y (* y (/ (* z z) x))) (* z y)) x)) (*.f64 (*.f64 z z) (fma.f64 y (/.f64 y (*.f64 x x)) (/.f64 (+.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z)))) x)))) | |
| 15.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(approx (+ 1 (/ (+ (* y (* y (/ (* z z) x))) (* z y)) x)) (*.f64 y (*.f64 y (fma.f64 z (/.f64 z (*.f64 x x)) (/.f64 (+.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y))))) x)))) | |
| 18.9% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(literal -1 binary64) (*.f64 z y))))) | |
| 11.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))))) | |
| 28.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))) | |
| 28.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))) | |
| 17.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z))))))) | |
| 51.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) | |
| 50.3% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x)))) | |
| 40.7% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 y (-.f64 (/.f64 x y) z)))) | |
| 9.7% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (/.f64 (neg.f64 (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))))) | |
| ✓ | 18.9% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))) |
| 26.9% | #s(approx (+ (* (cos y) x) (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z)))) (/.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (sin.f64 y)))) | |
| 26.5% | #s(approx (+ (* (cos y) x) (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z)))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))))) | |
| 57.5% | #s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) |
Compiled 3 423 to 1 060 computations (69% saved)
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) #s(literal 1 binary64)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 y (-.f64 (/.f64 x y) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z) x)) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (neg.f64 (*.f64 x (fma.f64 z (/.f64 y x) #s(literal -1 binary64)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x)))) |
(fma.f64 #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (/.f64 (neg.f64 (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(literal -1 binary64) (*.f64 z y))))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.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))) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z (neg.f64 x))) #s(literal 1 binary64))))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x))))) |
(fma.f64 #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
(fma.f64 #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))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 z (/.f64 y x) #s(literal 1 binary64)) x)))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.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)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))) |
(fma.f64 #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 y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (*.f64 y (*.f64 z (*.f64 y z))))) (*.f64 (fma.f64 y z x) (fma.f64 y z x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 y (neg.f64 y)) (fma.f64 z z (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) #s(literal 0 binary64)) y))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(approx (+ 1 (/ (+ (* y (* y (/ (* z z) x))) (* z y)) x)) (*.f64 y (*.f64 y (fma.f64 z (/.f64 z (*.f64 x x)) (/.f64 (+.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y))))) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(approx (+ 1 (/ (+ (* y (* y (/ (* z z) x))) (* z y)) x)) (*.f64 (*.f64 z z) (fma.f64 y (/.f64 y (*.f64 x x)) (/.f64 (+.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z)))) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 x (/.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 y y))))) (/.f64 x (*.f64 z (*.f64 y y))))) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 z (*.f64 y y)))) (/.f64 x (*.f64 y y)))) z)) (neg.f64 z))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (/.f64 (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (*.f64 (-.f64 (*.f64 y z) x) (fma.f64 y z x)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x))) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x (cos.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y)))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (neg.f64 (*.f64 z (sin.f64 y)))) |
(-.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))) |
(fma.f64 (cos.f64 y) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))) |
(fma.f64 (cos.f64 y) x #s(approx (neg (* z (sin y))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
(fma.f64 (cos.f64 y) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 y (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.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 (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 (cos.f64 y) x (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))) |
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) z)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))))) |
#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) |
#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y))))) |
#s(approx (+ (* (cos y) x) (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z)))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))))) |
#s(approx (+ (* (cos y) x) (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z)))) (/.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(/.f64 (fma.f64 x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))) (fma.f64 x #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))) |
(*.f64 (fma.f64 x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)))) |
#s(approx (+ (* (cos y) x) (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (*.f64 (sin.f64 y) x)) (neg.f64 (cos.f64 y))) (neg.f64 x))) |
#s(approx (+ (* (cos y) x) (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z)))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y)))))) |
(fma.f64 (cos.f64 y) x (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))) |
(*.f64 #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.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 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))) (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x (cos.f64 y)) x) (cos.f64 y) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(*.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) |
#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 (neg.f64 x) (fma.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y))))) |
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (fma.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) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(fma.f64 (*.f64 x (*.f64 x (cos.f64 y))) (/.f64 (cos.f64 y) (fma.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) (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 (fma.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))))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (/.f64 (fma.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)))))))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
4 calls:
| 60.0ms | x |
| 32.0ms | z |
| 32.0ms | y |
| 31.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 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 (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) #s(literal 1 binary64)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 y (-.f64 (/.f64 x y) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z) x)) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (neg.f64 (*.f64 x (fma.f64 z (/.f64 y x) #s(literal -1 binary64)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x)))) |
(fma.f64 #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (/.f64 (neg.f64 (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(literal -1 binary64) (*.f64 z y))))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.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))) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z (neg.f64 x))) #s(literal 1 binary64))))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x))))) |
(fma.f64 #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
(fma.f64 #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))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 z (/.f64 y x) #s(literal 1 binary64)) x)))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.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)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))) |
(fma.f64 #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 y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (*.f64 y (*.f64 z (*.f64 y z))))) (*.f64 (fma.f64 y z x) (fma.f64 y z x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 y (neg.f64 y)) (fma.f64 z z (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) #s(literal 0 binary64)) y))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(approx (+ 1 (/ (+ (* y (* y (/ (* z z) x))) (* z y)) x)) (*.f64 y (*.f64 y (fma.f64 z (/.f64 z (*.f64 x x)) (/.f64 (+.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y))))) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(approx (+ 1 (/ (+ (* y (* y (/ (* z z) x))) (* z y)) x)) (*.f64 (*.f64 z z) (fma.f64 y (/.f64 y (*.f64 x x)) (/.f64 (+.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z)))) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 x (/.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 y y))))) (/.f64 x (*.f64 z (*.f64 y y))))) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 z (*.f64 y y)))) (/.f64 x (*.f64 y y)))) z)) (neg.f64 z))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (/.f64 (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (*.f64 (-.f64 (*.f64 y z) x) (fma.f64 y z x)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x))) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x (cos.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y)))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (neg.f64 (*.f64 z (sin.f64 y)))) |
(-.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))) |
(fma.f64 (cos.f64 y) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))) |
(fma.f64 (cos.f64 y) x #s(approx (neg (* z (sin y))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
(fma.f64 (cos.f64 y) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 y (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.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 (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 (cos.f64 y) x (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))) |
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) z)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))) |
4 calls:
| 24.0ms | z |
| 23.0ms | y |
| 23.0ms | x |
| 20.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 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 (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) #s(literal 1 binary64)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 y (-.f64 (/.f64 x y) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z) x)) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (neg.f64 (*.f64 x (fma.f64 z (/.f64 y x) #s(literal -1 binary64)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x)))) |
(fma.f64 #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (/.f64 (neg.f64 (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(literal -1 binary64) (*.f64 z y))))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.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))) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z (neg.f64 x))) #s(literal 1 binary64))))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x))))) |
(fma.f64 #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
(fma.f64 #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))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 z (/.f64 y x) #s(literal 1 binary64)) x)))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.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)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))) |
(fma.f64 #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 y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (*.f64 y (*.f64 z (*.f64 y z))))) (*.f64 (fma.f64 y z x) (fma.f64 y z x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 y (neg.f64 y)) (fma.f64 z z (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) #s(literal 0 binary64)) y))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(approx (+ 1 (/ (+ (* y (* y (/ (* z z) x))) (* z y)) x)) (*.f64 y (*.f64 y (fma.f64 z (/.f64 z (*.f64 x x)) (/.f64 (+.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y))))) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(approx (+ 1 (/ (+ (* y (* y (/ (* z z) x))) (* z y)) x)) (*.f64 (*.f64 z z) (fma.f64 y (/.f64 y (*.f64 x x)) (/.f64 (+.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z)))) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 x (/.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 y y))))) (/.f64 x (*.f64 z (*.f64 y y))))) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 z (*.f64 y y)))) (/.f64 x (*.f64 y y)))) z)) (neg.f64 z))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (/.f64 (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (*.f64 (-.f64 (*.f64 y z) x) (fma.f64 y z x)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x))) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x (cos.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y)))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (neg.f64 (*.f64 z (sin.f64 y)))) |
(-.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))) |
(fma.f64 (cos.f64 y) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))) |
(fma.f64 (cos.f64 y) x #s(approx (neg (* z (sin y))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
(fma.f64 (cos.f64 y) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 y (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.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 (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 (cos.f64 y) x (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))) |
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) z)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
4 calls:
| 63.0ms | x |
| 34.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 23.0ms | z |
| 20.0ms | 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 (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) #s(literal 1 binary64)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 y (-.f64 (/.f64 x y) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z) x)) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (neg.f64 (*.f64 x (fma.f64 z (/.f64 y x) #s(literal -1 binary64)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x)))) |
(fma.f64 #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (/.f64 (neg.f64 (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(literal -1 binary64) (*.f64 z y))))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.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))) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z (neg.f64 x))) #s(literal 1 binary64))))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x))))) |
(fma.f64 #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
(fma.f64 #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))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 z (/.f64 y x) #s(literal 1 binary64)) x)))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.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)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))) |
(fma.f64 #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 y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (*.f64 y (*.f64 z (*.f64 y z))))) (*.f64 (fma.f64 y z x) (fma.f64 y z x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 y (neg.f64 y)) (fma.f64 z z (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) #s(literal 0 binary64)) y))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(approx (+ 1 (/ (+ (* y (* y (/ (* z z) x))) (* z y)) x)) (*.f64 y (*.f64 y (fma.f64 z (/.f64 z (*.f64 x x)) (/.f64 (+.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y))))) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(approx (+ 1 (/ (+ (* y (* y (/ (* z z) x))) (* z y)) x)) (*.f64 (*.f64 z z) (fma.f64 y (/.f64 y (*.f64 x x)) (/.f64 (+.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z)))) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 x (/.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 y y))))) (/.f64 x (*.f64 z (*.f64 y y))))) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 z (*.f64 y y)))) (/.f64 x (*.f64 y y)))) z)) (neg.f64 z))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (/.f64 (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (*.f64 (-.f64 (*.f64 y z) x) (fma.f64 y z x)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x))) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x (cos.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y)))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (neg.f64 (*.f64 z (sin.f64 y)))) |
(-.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))) |
(fma.f64 (cos.f64 y) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))) |
(fma.f64 (cos.f64 y) x #s(approx (neg (* z (sin y))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
(fma.f64 (cos.f64 y) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 y (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.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 (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 (cos.f64 y) x (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))) |
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) z)))) |
| Outputs |
|---|
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
4 calls:
| 26.0ms | y |
| 23.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 22.0ms | x |
| 20.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.9% | 3 | x |
| 83.4% | 3 | y |
| 87.4% | 3 | z |
| 78.3% | 2 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) #s(literal 1 binary64)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 y (-.f64 (/.f64 x y) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z) x)) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (neg.f64 (*.f64 x (fma.f64 z (/.f64 y x) #s(literal -1 binary64)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x)))) |
(fma.f64 #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (/.f64 (neg.f64 (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(literal -1 binary64) (*.f64 z y))))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.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))) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z (neg.f64 x))) #s(literal 1 binary64))))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x))))) |
(fma.f64 #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
(fma.f64 #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))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 z (/.f64 y x) #s(literal 1 binary64)) x)))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.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)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))) |
(fma.f64 #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 y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (*.f64 y (*.f64 z (*.f64 y z))))) (*.f64 (fma.f64 y z x) (fma.f64 y z x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 y (neg.f64 y)) (fma.f64 z z (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) #s(literal 0 binary64)) y))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(approx (+ 1 (/ (+ (* y (* y (/ (* z z) x))) (* z y)) x)) (*.f64 y (*.f64 y (fma.f64 z (/.f64 z (*.f64 x x)) (/.f64 (+.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y))))) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(approx (+ 1 (/ (+ (* y (* y (/ (* z z) x))) (* z y)) x)) (*.f64 (*.f64 z z) (fma.f64 y (/.f64 y (*.f64 x x)) (/.f64 (+.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z)))) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 x (/.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 y y))))) (/.f64 x (*.f64 z (*.f64 y y))))) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 z (*.f64 y y)))) (/.f64 x (*.f64 y y)))) z)) (neg.f64 z))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (/.f64 (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (*.f64 (-.f64 (*.f64 y z) x) (fma.f64 y z x)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x))) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x (cos.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y)))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (neg.f64 (*.f64 z (sin.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 (*.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 y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) |
3 calls:
| 42.0ms | y |
| 19.0ms | x |
| 19.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.1% | 4 | y |
| 74.1% | 3 | x |
| 76.2% | 3 | z |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) #s(literal 1 binary64)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 y (-.f64 (/.f64 x y) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z) x)) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (neg.f64 (*.f64 x (fma.f64 z (/.f64 y x) #s(literal -1 binary64)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x)))) |
(fma.f64 #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (/.f64 (neg.f64 (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(literal -1 binary64) (*.f64 z y))))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.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))) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z (neg.f64 x))) #s(literal 1 binary64))))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x))))) |
(fma.f64 #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
(fma.f64 #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))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 z (/.f64 y x) #s(literal 1 binary64)) x)))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.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)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))) |
(fma.f64 #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 y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (*.f64 y (*.f64 z (*.f64 y z))))) (*.f64 (fma.f64 y z x) (fma.f64 y z x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 y (neg.f64 y)) (fma.f64 z z (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) #s(literal 0 binary64)) y))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(approx (+ 1 (/ (+ (* y (* y (/ (* z z) x))) (* z y)) x)) (*.f64 y (*.f64 y (fma.f64 z (/.f64 z (*.f64 x x)) (/.f64 (+.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y))))) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(approx (+ 1 (/ (+ (* y (* y (/ (* z z) x))) (* z y)) x)) (*.f64 (*.f64 z z) (fma.f64 y (/.f64 y (*.f64 x x)) (/.f64 (+.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z)))) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 x (/.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 y y))))) (/.f64 x (*.f64 z (*.f64 y y))))) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 z (*.f64 y y)))) (/.f64 x (*.f64 y y)))) z)) (neg.f64 z))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (/.f64 (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (*.f64 (-.f64 (*.f64 y z) x) (fma.f64 y z x)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x))) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
#s(approx (/ 1 (/ 1 (- (* 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 (*.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 y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
3 calls:
| 40.0ms | y |
| 17.0ms | z |
| 17.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.9% | 3 | z |
| 61.8% | 3 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 74.5% | 3 | y |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) #s(literal 1 binary64)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 y (-.f64 (/.f64 x y) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z) x)) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (neg.f64 (*.f64 x (fma.f64 z (/.f64 y x) #s(literal -1 binary64)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z))))) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x)))) |
(fma.f64 #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (/.f64 (neg.f64 (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(literal -1 binary64) (*.f64 z y))))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.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))) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z (neg.f64 x))) #s(literal 1 binary64))))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x))))) |
(fma.f64 #s(approx (cos y) #s(approx (+ (* (* y y) (+ (* (* y y) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
(fma.f64 #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))) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (fma.f64 z (/.f64 y x) #s(literal 1 binary64)) x)))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.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)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
(fma.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x #s(approx (/ (* (+ (* (cos (+ y y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (*.f64 x x) (fma.f64 y z x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))) |
(fma.f64 #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 y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 z y)) x)) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 y z x)) (*.f64 (fma.f64 y z x) (*.f64 y (*.f64 z (*.f64 y z))))) (*.f64 (fma.f64 y z x) (fma.f64 y z x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 y (neg.f64 y)) (fma.f64 z z (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) #s(literal 0 binary64)) y))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 x (*.f64 y (neg.f64 z))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y (neg.f64 z))) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(approx (+ 1 (/ (+ (* y (* y (/ (* z z) x))) (* z y)) x)) (*.f64 y (*.f64 y (fma.f64 z (/.f64 z (*.f64 x x)) (/.f64 (+.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y))))) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 #s(approx (+ 1 (/ (+ (* y (* y (/ (* z z) x))) (* z y)) x)) (*.f64 (*.f64 z z) (fma.f64 y (/.f64 y (*.f64 x x)) (/.f64 (+.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z)))) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 x (/.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 y y))))) (/.f64 x (*.f64 z (*.f64 y y))))) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (fma.f64 y z x))) (-.f64 x (*.f64 y z)))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) x) (* (+ (* y z) x) (- x (* y z)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 z (*.f64 y y)))) (/.f64 x (*.f64 y y)))) z)) (neg.f64 z))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (/.f64 (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (*.f64 (-.f64 (*.f64 y z) x) (fma.f64 y z x)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x))) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
4 calls:
| 18.0ms | y |
| 18.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 17.0ms | x |
| 15.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.1% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 52.1% | 1 | z |
| 52.1% | 1 | x |
| 52.1% | 1 | y |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) #s(literal 1 binary64)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
4 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | z |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.1% | 1 | z |
| 52.1% | 1 | x |
| 52.1% | 1 | y |
| 52.1% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) #s(literal 1 binary64)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))) |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) #s(literal 1 binary64)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))) |
4 calls:
| 2.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.4% | 2 | z |
| 40.5% | 3 | x |
| 36.4% | 1 | y |
| 36.4% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) #s(literal 1 binary64)))) |
2 calls:
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.4% | 1 | x |
| 36.4% | 1 | z |
Compiled 8 to 6 computations (25% 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 |
| 26.0ms | 272× | 0 | valid |
Compiled 389 to 269 computations (30.8% saved)
ival-cos: 9.0ms (45.9% of total)ival-sin: 5.0ms (25.5% of total)ival-mult: 4.0ms (20.4% of total)ival-sub: 1.0ms (5.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 1.3722503830422422e+42 | 4.3558297167000825e+45 |
| 20.0ms | 2834.176686299195 | 2066365.7900729456 |
| 25.0ms | -2.2536797018040915e+28 | -168083714694478500.0 |
| 56.0ms | 416× | 0 | valid |
Compiled 941 to 550 computations (41.6% saved)
ival-cos: 23.0ms (51.8% of total)ival-sin: 13.0ms (29.3% of total)ival-mult: 6.0ms (13.5% of total)ival-sub: 2.0ms (4.5% 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 | 2834.176686299195 | 2066365.7900729456 |
| 1.0ms | -2.2536797018040915e+28 | -168083714694478500.0 |
Compiled 789 to 446 computations (43.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 1.511262292689267e+111 | 3.2098293674426267e+119 |
| 11.0ms | 144× | 0 | valid |
Compiled 186 to 122 computations (34.4% saved)
ival-cos: 3.0ms (38% of total)ival-mult: 2.0ms (25.3% of total)ival-sin: 2.0ms (25.3% of total)ival-sub: 1.0ms (12.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 26× | *-commutative_binary64 |
| 16× | +-commutative_binary64 |
| 16× | sub-neg_binary64 |
| 14× | cancel-sign-sub-inv_binary64 |
| 10× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 374 |
| 1 | 113 | 374 |
| 2 | 133 | 374 |
| 3 | 141 | 374 |
| 4 | 145 | 374 |
| 5 | 146 | 374 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 z #s(literal -5201597758707563/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.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))) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 y #s(literal -170000000000000000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 2900 binary64)) (fma.f64 #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 y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) (if (<=.f64 y #s(literal 1949999999999999847676257110705609470115840 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))))) |
(if (<=.f64 y #s(literal -170000000000000000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 2900 binary64)) (fma.f64 #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 y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
(if (<=.f64 z #s(literal 6500000000000000101136204841534479657743309079986899316903508772800419577570912071222405034447808409895340825640960 binary64)) #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) #s(literal 1 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))) |
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 (sin.f64 y) z))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) |
(if (<=.f64 z #s(literal -5201597758707563/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.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))) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -5201597758707563/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (sin.f64 y) z)) (if (<=.f64 z #s(literal 4927435867031971/18249762470488780874564686422801165299572914028994239722316770071597100668834709546023651245269485599114569238294377629242754818885501751993010645278888856753007978697441059800331496768986415104 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (sin.f64 y) z)))) |
(if (<=.f64 y #s(literal -170000000000000000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 2900 binary64)) (fma.f64 #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 y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) (if (<=.f64 y #s(literal 1949999999999999847676257110705609470115840 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))))) |
(if (<=.f64 y #s(literal -170000000000000000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 2900 binary64)) (fma.f64 #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 y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) (if (<=.f64 y #s(literal 1949999999999999847676257110705609470115840 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 (sin.f64 y) z)))))) |
(if (<=.f64 y #s(literal -170000000000000000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 2900 binary64)) (fma.f64 #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 y)) -1/2) 1/2) (neg (* z z))) (+ 0 (* (sin y) z))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z))) |
(if (<=.f64 z #s(literal 6500000000000000101136204841534479657743309079986899316903508772800419577570912071222405034447808409895340825640960 binary64)) #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) #s(literal 1 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (- (cos y) (/ (* z (sin y)) x)) #s(literal 1 binary64)))) |
| 12 044× | lower-fma.f64 |
| 12 044× | lower-fma.f32 |
| 10 986× | lower-fma.f64 |
| 10 986× | lower-fma.f32 |
| 9 230× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 702 | 7002 |
| 1 | 2344 | 6677 |
| 2 | 7906 | 6665 |
| 0 | 8302 | 6406 |
| 0 | 528 | 6918 |
| 1 | 1687 | 6749 |
| 2 | 5019 | 6722 |
| 0 | 8279 | 6466 |
| 0 | 97 | 624 |
| 1 | 292 | 619 |
| 2 | 837 | 613 |
| 3 | 2075 | 607 |
| 4 | 3601 | 607 |
| 5 | 6258 | 607 |
| 0 | 8452 | 586 |
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 33 | 19 |
| 2 | 210 | 19 |
| 3 | 1964 | 19 |
| 0 | 8379 | 19 |
| 0 | 37 | 158 |
| 0 | 66 | 131 |
| 1 | 244 | 111 |
| 2 | 1799 | 111 |
| 0 | 8953 | 111 |
| 0 | 466 | 5353 |
| 1 | 1567 | 5202 |
| 2 | 5620 | 5128 |
| 0 | 8787 | 4866 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 573 to 266 computations (53.6% saved)
Compiled 422 to 120 computations (71.6% saved)
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