
Time bar (total: 13.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 927.0ms | 8 256× | 0 | valid |
ival-cos: 280.0ms (40.8% of total)ival-sin: 175.0ms (25.5% of total)ival-mult: 162.0ms (23.6% of total)ival-sub: 59.0ms (8.6% of total)ival-true: 6.0ms (0.9% of total)ival-assert: 3.0ms (0.4% of total)| 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 |
| 66.0ms | 512× | 0 | valid |
Compiled 91 to 36 computations (60.4% saved)
ival-cos: 30.0ms (59.5% of total)ival-sin: 11.0ms (21.8% of total)ival-mult: 7.0ms (13.9% of total)ival-sub: 2.0ms (4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% 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))) |
Compiled 12 to 8 computations (33.3% saved)
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 | 0 | (cos.f64 y) | |
| accuracy | 0.00390625 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.12890625 | (*.f64 x (cos.f64 y)) | |
| accuracy | 0.140625 | (*.f64 z (sin.f64 y)) |
| 24.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-cos: 5.0ms (30.8% of total)ival-sin: 5.0ms (30.8% of total)ival-mult: 4.0ms (24.6% of total)ival-sub: 1.0ms (6.2% 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)) |
| 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)
16 alts after pruning (15 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 310 | 15 | 325 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 310 | 16 | 326 |
| Status | Accuracy | Program |
|---|---|---|
| 56.9% | (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))) | |
| ▶ | 69.5% | (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))))))) |
| 69.5% | (fma.f64 x (/.f64 (*.f64 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)))) (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))))))) | |
| ▶ | 45.7% | (/.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)))) |
| 43.9% | (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (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)))))))) | |
| 22.2% | (/.f64 (-.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 (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))))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (pow.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))))) #s(literal 2 binary64))) | |
| 27.9% | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (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))))))) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 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))))) |
| 14.1% | (-.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))))))) | |
| ✓ | 99.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 22.1% | (*.f64 (-.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 (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))))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.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))))) #s(literal 2 binary64)))) | |
| 53.1% | #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)) | |
| 53.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))) | |
| ▶ | 54.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
| ▶ | 62.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
| 38.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) |
Compiled 1 302 to 518 computations (60.2% saved)
| 1× | egg-herbie |
Found 18 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 | (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)))))) | |
| cost-diff | 128 | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) | |
| cost-diff | 20672 | (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))))))) | |
| cost-diff | 0 | (/.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)))) | |
| 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 | 6592 | (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 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 x (cos.f64 y)) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.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 | (-.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))))) |
| 15 978× | lower-fma.f32 |
| 15 972× | lower-fma.f64 |
| 4 360× | lower-*.f32 |
| 4 342× | lower-*.f64 |
| 1 494× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 397 |
| 0 | 69 | 384 |
| 1 | 137 | 384 |
| 2 | 305 | 383 |
| 3 | 820 | 383 |
| 4 | 2436 | 377 |
| 5 | 5724 | 374 |
| 0 | 8128 | 360 |
| 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))) (-.f64 x (*.f64 z y))) |
(-.f64 x (*.f64 z y)) |
x |
(*.f64 z y) |
z |
y |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
(*.f64 x (cos.f64 y)) |
x |
(cos.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)))))) (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)))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (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 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
x |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) |
(cos.f64 (+.f64 y y)) |
(+.f64 y y) |
y |
(/.f64 x (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
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 #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 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 z z) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
#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) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(*.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))) (-.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 |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
(*.f64 x (cos.f64 y)) |
x |
(cos.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)))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z (neg.f64 z) (fma.f64 (cos.f64 (+.f64 y y)) (fma.f64 z z (*.f64 x x)) (*.f64 x x)))) (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) (fma.f64 z (neg.f64 z) (fma.f64 (cos.f64 (+.f64 y y)) (fma.f64 z z (*.f64 x x)) (*.f64 x x)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
#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 x (*.f64 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)) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (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 #s(literal 1/2 binary64) (fma.f64 z (neg.f64 z) (fma.f64 (cos.f64 (+.f64 y y)) (fma.f64 z z (*.f64 x x)) (*.f64 x x)))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
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)) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) |
(cos.f64 (+.f64 y y)) |
(+.f64 y y) |
y |
(/.f64 x (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
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 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))) (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 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (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)))) |
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(*.f64 z z) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.33651140527157763 | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) | |
| accuracy | 10.52001388697419 | (*.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))))) | |
| accuracy | 11.600594439162323 | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) | |
| accuracy | 12.042308557677005 | (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) | |
| accuracy | 0.33651140527157763 | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) | |
| accuracy | 9.51131640511968 | (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 | 11.600594439162323 | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) | |
| accuracy | 24.792904048063665 | (/.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)))) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.12890625 | (*.f64 x (cos.f64 y)) | |
| accuracy | 23.713209896066175 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0.00390625 | (-.f64 x (*.f64 z y)) | |
| accuracy | 29.18012135006031 | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) | |
| accuracy | 0.12890625 | (*.f64 x (cos.f64 y)) | |
| accuracy | 0.140625 | (*.f64 z (sin.f64 y)) | |
| accuracy | 0.171875 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) | |
| accuracy | 0.2265625 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
| 79.0ms | 83× | 1 | valid |
| 46.0ms | 48× | 2 | valid |
| 43.0ms | 125× | 0 | valid |
Compiled 400 to 36 computations (91% saved)
ival-cos: 47.0ms (36.4% of total)ival-mult: 24.0ms (18.6% of total)ival-sin: 15.0ms (11.6% of total)adjust: 13.0ms (10.1% of total)ival-div: 12.0ms (9.3% of total)ival-add: 8.0ms (6.2% of total)ival-sub: 5.0ms (3.9% of total)ival-neg: 3.0ms (2.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)exact: 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))) (-.f64 x (*.f64 z y)))> |
#<alt (-.f64 x (*.f64 z y))> |
#<alt (*.f64 z y)> |
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))> |
#<alt (cos.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))> |
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))> |
#<alt (/.f64 (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))))> |
#<alt (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)))))))> |
#<alt (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))))))> |
#<alt (*.f64 z (sin.f64 y))> |
#<alt (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))> |
#<alt (*.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)))))> |
| 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))))> |
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#<alt x> |
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#<alt x> |
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#<alt x> |
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#<alt x> |
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#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))> |
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#<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)))> |
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#<alt (cos y)> |
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#<alt x> |
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#<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))> |
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#<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))))))> |
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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 (* 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 z 2) (* x (cos y)))> |
#<alt (* (pow z 2) (+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y)))))> |
#<alt (* (pow z 2) (+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))))> |
#<alt (* (pow z 2) (+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))))> |
#<alt (/ z (sin y))> |
#<alt (* z (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))))> |
#<alt (* z (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))))> |
#<alt (* z (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))))> |
#<alt (/ z (sin y))> |
#<alt (* -1 (* z (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y)))))> |
#<alt (/ z (sin y))> |
#<alt (+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (/ z (sin y)))> |
#<alt (+ (* x (- (/ (* x (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (cos y) (pow (sin y) 2)))) (/ z (sin y)))> |
#<alt (+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* z (pow (sin y) 3)))))) (/ (cos y) (pow (sin y) 2)))) (/ z (sin y)))> |
#<alt (/ (pow z 2) (* x (cos y)))> |
#<alt (/ (+ (* -1 (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2)))) (/ (pow z 2) (cos y))) x)> |
#<alt (/ (- (+ (/ (* (pow z 4) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))) (/ (pow z 2) (cos y))) (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2)))) x)> |
#<alt (/ (- (+ (* -1 (/ (* (pow z 5) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ (pow z 2) (cos y))) (+ (* -1 (/ (* (pow z 4) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2))))) x)> |
#<alt (/ (pow z 2) (* x (cos y)))> |
#<alt (* -1 (/ (+ (* -1 (/ (pow z 2) (cos y))) (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2)))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* (pow z 3) (sin y)) (pow (cos y) 2))) x)) (* -1 (/ (pow z 2) (cos y)))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 4) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* (pow z 3) (sin y)) (pow (cos y) 2))) x)) (* -1 (/ (pow z 2) (cos y)))) x))> |
#<alt (/ (pow z 2) x)> |
#<alt (+ (* -1 (/ (* y (pow z 3)) (pow x 2))) (/ (pow z 2) x))> |
#<alt (+ (* y (- (* -1 (* y (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x))> |
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* z (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x)))) x)) (+ (* -1/6 (/ (pow z 3) (pow x 2))) (* 1/2 (/ (pow z 3) (pow x 2))))))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x))> |
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))> |
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))> |
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))> |
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))> |
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))> |
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))> |
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))> |
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))> |
#<alt (/ (* (pow y 2) (pow z 2)) x)> |
#<alt (* (pow y 2) (+ (* -1 (/ (* y (pow z 3)) (pow x 2))) (/ (pow z 2) x)))> |
#<alt (* (pow y 2) (+ (* y (- (* y (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x)))> |
#<alt (* (pow y 2) (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ (pow z 3) (pow x 2))) (+ (* 1/2 (/ (pow z 3) (pow x 2))) (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x))))) (* -1/3 (/ (pow z 2) x))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x)))> |
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))> |
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))> |
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))> |
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))> |
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))> |
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))> |
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))> |
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))> |
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))> |
#<alt (* (pow z 2) (- (+ (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 2)))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))> |
#<alt (* (pow z 2) (- (+ (* z (- (/ (* z (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 3))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))> |
#<alt (* (pow z 2) (- (+ (* z (- (* z (- (* -1 (/ (* z (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (cos y) 3)))))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))> |
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))> |
#<alt (* 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 (* z (- (+ (* 1/2 (/ 1 (sin y))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 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 (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 4)))) (* 1/2 (/ 1 (sin y)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))))))> |
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))> |
#<alt (* -1 (* 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 (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 4))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)))))> |
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))> |
#<alt (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (+ (* x (- (/ (* x (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (+ (* x (- (* x (- (* -1 (/ (* x (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 4)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))> |
#<alt (/ (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) x)> |
#<alt (/ (- (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x)> |
#<alt (/ (- (+ (* -1 (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 4)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (+ (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))) x)> |
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))> |
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4))) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x))> |
135 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | y | @ | -inf | (* z y) |
| 8.0ms | z | @ | inf | (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))) |
| 4.0ms | y | @ | -inf | (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) |
| 4.0ms | x | @ | -inf | (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))) |
| 3.0ms | x | @ | inf | (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) |
| 1× | egg-herbie |
| 7 144× | lower-*.f64 |
| 7 144× | lower-*.f32 |
| 7 034× | lower-fma.f64 |
| 7 034× | lower-fma.f32 |
| 3 610× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1198 | 12477 |
| 1 | 4217 | 12244 |
| 0 | 8899 | 11870 |
| 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)) |
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(* 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)))))) |
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(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))) |
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (+ (* -1 (/ (- (* -1/2 (/ (* (pow x 3) (* (pow (cos y) 3) (cos (* 2 y)))) (pow (sin y) 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4))) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* -1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))))) (* -1/2 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))) |
(* -1 (/ (* (pow y 2) (pow z 2)) x)) |
(* (pow y 2) (- (/ (* y (pow z 3)) (pow x 2)) (/ (pow z 2) x))) |
(* (pow y 2) (- (* y (+ (* y (- (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))) (* -1/3 (/ (pow z 2) x)))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x))) |
(* (pow y 2) (- (* y (+ (* y (- (+ (* -1 (/ (pow z 4) (pow x 3))) (+ (* -1/2 (/ (pow z 2) x)) (* y (+ (* -1/6 (/ (pow z 3) (pow x 2))) (+ (* 1/2 (/ (pow z 3) (pow x 2))) (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x)))))) (* -1/3 (/ (pow z 2) x)))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x))) |
(* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))) |
(* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))) |
(* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))) |
(* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))) |
(* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))) |
(* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))) |
(* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))) |
(* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))) |
(* (pow z 2) (- (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* 1/2 (/ 1 (* x (cos y)))))) |
(* (pow z 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 2)))) (* 1/2 (/ 1 (* x (cos y)))))) |
(* (pow z 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* z (+ (* -1 (/ (* z (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 3)))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))))) (* 1/2 (/ 1 (* x (cos y)))))) |
(* (pow z 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* z (+ (* z (+ (* -1 (/ (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (cos y) 3)))) (/ (* z (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (cos y) 4))))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))))) (* 1/2 (/ 1 (* x (cos y)))))) |
(* z (- (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))) |
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(* z (- (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow z 2) (pow (sin y) 3)))))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))))) |
(* z (- (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 3) (* (pow (cos y) 3) (cos (* 2 y)))) (* (pow z 3) (pow (sin y) 4)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow z 2) (pow (sin y) 3))))))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))))))) |
(* -1 (* z (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))) |
(* -1 (* z (+ (* -1 (/ (- (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))) |
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))) (* -1/2 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))) |
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (* (pow x 3) (* (pow (cos y) 3) (cos (* 2 y)))) (pow (sin y) 4))) (* -1/2 (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4)))) z)) (* -1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (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)) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) |
(- (* x (+ (* -1 (/ (* x (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3)))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) |
(- (* x (+ (* x (+ (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))) (/ (* x (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 4))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) |
(* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))) |
(/ (- (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (+ (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))) (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 4))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) x) |
(* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))) |
(* -1 (/ (- (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4)))) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos 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)) |
(/ (pow z 2) (* x (cos y))) |
(* (pow z 2) (+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y))))) |
(* (pow z 2) (+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))) |
(* (pow z 2) (+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))) |
(/ z (sin y)) |
(* z (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y)))) |
(* z (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) |
(* z (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))))) |
(/ z (sin y)) |
(* -1 (* z (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))))) |
(/ z (sin y)) |
(+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (/ z (sin y))) |
(+ (* x (- (/ (* x (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (cos y) (pow (sin y) 2)))) (/ z (sin y))) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* z (pow (sin y) 3)))))) (/ (cos y) (pow (sin y) 2)))) (/ z (sin y))) |
(/ (pow z 2) (* x (cos y))) |
(/ (+ (* -1 (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2)))) (/ (pow z 2) (cos y))) x) |
(/ (- (+ (/ (* (pow z 4) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))) (/ (pow z 2) (cos y))) (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2)))) x) |
(/ (- (+ (* -1 (/ (* (pow z 5) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ (pow z 2) (cos y))) (+ (* -1 (/ (* (pow z 4) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2))))) x) |
(/ (pow z 2) (* x (cos y))) |
(* -1 (/ (+ (* -1 (/ (pow z 2) (cos y))) (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* (pow z 3) (sin y)) (pow (cos y) 2))) x)) (* -1 (/ (pow z 2) (cos y)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 4) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* (pow z 3) (sin y)) (pow (cos y) 2))) x)) (* -1 (/ (pow z 2) (cos y)))) x)) |
(/ (pow z 2) x) |
(+ (* -1 (/ (* y (pow z 3)) (pow x 2))) (/ (pow z 2) x)) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x)) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* z (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x)))) x)) (+ (* -1/6 (/ (pow z 3) (pow x 2))) (* 1/2 (/ (pow z 3) (pow x 2))))))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x)) |
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y)))) |
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y)))) |
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y)))) |
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y)))) |
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y)))) |
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y)))) |
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y)))) |
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y)))) |
(/ (* (pow y 2) (pow z 2)) x) |
(* (pow y 2) (+ (* -1 (/ (* y (pow z 3)) (pow x 2))) (/ (pow z 2) x))) |
(* (pow y 2) (+ (* y (- (* y (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x))) |
(* (pow y 2) (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ (pow z 3) (pow x 2))) (+ (* 1/2 (/ (pow z 3) (pow x 2))) (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x))))) (* -1/3 (/ (pow z 2) x))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x))) |
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y)))) |
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y)))) |
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y)))) |
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y)))) |
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y)))) |
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y)))) |
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y)))) |
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y)))) |
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y))) |
(* (pow z 2) (- (+ (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 2)))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))))) |
(* (pow z 2) (- (+ (* z (- (/ (* z (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 3))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))))) |
(* (pow z 2) (- (+ (* z (- (* z (- (* -1 (/ (* z (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (cos y) 3)))))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))))) |
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) |
(* 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))))) |
(* z (- (+ (* 1/2 (/ 1 (sin y))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))))) |
(* z (- (+ (* -1 (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 4)))) (* 1/2 (/ 1 (sin y)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))))))) |
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) |
(* -1 (* 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)))))) |
(* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z))))) |
(* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 4))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z))))) |
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) |
(+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) |
(+ (* x (- (/ (* x (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) |
(+ (* x (- (* x (- (* -1 (/ (* x (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 4)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) |
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y))) |
(/ (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) x) |
(/ (- (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x) |
(/ (- (+ (* -1 (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 4)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (+ (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))) x) |
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y))) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x)) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x)) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4))) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x)) |
| 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 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) (neg.f64 x)) |
x |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 z y)) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 z 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 (-.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))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 z)) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 z)) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 z)) |
(/ -1 (* z (sin y))) |
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) |
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(fma.f64 x (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 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)))) |
(fma.f64 x (neg.f64 (fma.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 z (*.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (cos.f64 y) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 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)))) |
(fma.f64 x (fma.f64 x (neg.f64 (fma.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 z (*.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) |
(/ 1 (* x (cos y))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))) |
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/.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) |
(/ (- (+ (/ 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) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x x))) (/.f64 (*.f64 z (sin.f64 y)) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) 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) |
(/.f64 (-.f64 (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x x)))))) x) |
(/ 1 (* x (cos y))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))) |
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)) |
(/.f64 (fma.f64 (neg.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))) (neg.f64 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)) |
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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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(* (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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(* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
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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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(* (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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(pow y 2) |
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(*.f64 (*.f64 y 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)))) |
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(* (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 (*.f64 y 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)))) |
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(- 1/2 (* 1/2 (cos (* 2 y)))) |
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(- 1/2 (* 1/2 (cos (* 2 y)))) |
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(- 1/2 (* 1/2 (cos (neg (* -2 y))))) |
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(- 1/2 (* 1/2 (cos (neg (* -2 y))))) |
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(- 1/2 (* 1/2 (cos (neg (* -2 y))))) |
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1 |
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(-.f64 #s(literal 1 binary64) (*.f64 y y)) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
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(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) |
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(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) |
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(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) |
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(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) |
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(* 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)))))) |
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(* 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)))))) |
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(* 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)))))) |
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(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) |
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(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) |
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(* (pow z 2) (- (+ (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 2)))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))))) |
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(/.f64 (-.f64 (fma.f64 (*.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 (sin.f64 y) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x) |
(/ (- (+ (* -1 (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 4)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (+ (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))) x) |
(/.f64 (-.f64 (-.f64 (*.f64 (*.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (cos.f64 y))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 z #s(literal 5 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) (-.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x x))))) x) |
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y))) |
(/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 x (cos.f64 y))) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (cos.f64 y))) (/.f64 (*.f64 (*.f64 (sin.f64 y) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (cos.f64 y)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 (sin.f64 y) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4))) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (cos.f64 y)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 z #s(literal 5 binary64))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.f64 x)) (/.f64 (*.f64 (*.f64 (sin.f64 y) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x))) (neg.f64 x)) |
| 4 694× | lower-*.f32 |
| 4 676× | lower-*.f64 |
| 4 084× | lower-/.f32 |
| 4 074× | lower-/.f64 |
| 3 334× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 253 |
| 0 | 69 | 190 |
| 1 | 249 | 158 |
| 2 | 1971 | 158 |
| 0 | 8349 | 158 |
| 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))) (-.f64 x (*.f64 z y))) |
(-.f64 x (*.f64 z y)) |
(*.f64 z y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
(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) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(/.f64 (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)))) |
(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))))))) |
(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 z (sin.f64 y)) |
(/.f64 (*.f64 z z) (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))))) |
| Outputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(+.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 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(+.f64 (neg.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 z (sin.f64 y))))) |
(+.f64 (*.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 z (sin.f64 y))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 z (sin.f64 y)))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 z (sin.f64 y))))) #s(literal 1 binary64))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.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 x (cos.f64 y) (*.f64 z (sin.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 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(-.f64 #s(literal 0 binary64) (/.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)))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)) (/.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.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 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(-.f64 (/.f64 (pow.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 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 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))) (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 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))) (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x (/.f64 x (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) #s(literal 0 binary64)) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 z (sin.f64 y))))) |
(fma.f64 x (cos.f64 y) (neg.f64 (*.f64 z (sin.f64 y)))) |
(fma.f64 x (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 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 (*.f64 z z) (fma.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 (*.f64 x (cos.f64 y)) #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 z (sin.f64 y))) #s(literal 1 binary64))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 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 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x (/.f64 x (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 x (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(fma.f64 (/.f64 x (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 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 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(fma.f64 (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #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))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(fma.f64 (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.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 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
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(/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (*.f64 z z) (-.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 x (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 z z)) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 z z)) (-.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 (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) (neg.f64 (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z z))) |
(/.f64 (*.f64 (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 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))) |
(/.f64 (*.f64 (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 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 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (-.f64 #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 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (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 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z z))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (neg.f64 (*.f64 z z)))) (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)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (neg.f64 (*.f64 z z)))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 z z)) (+.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 (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 z z)) (-.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 (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 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))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z z))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (*.f64 z z))) (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)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (*.f64 z z))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) #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 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z z))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.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 (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z z)) (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 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))))))))) (neg.f64 (*.f64 (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 z z) (+.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 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 z z) (-.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 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z z)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 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))))))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 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 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z z)))) |
(pow.f64 (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) #s(literal -1 binary64)) |
(*.f64 z (*.f64 (/.f64 z (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (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 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(*.f64 (*.f64 z z) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(*.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) z) (/.f64 z (fma.f64 x (cos.f64 y) (*.f64 z (sin.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 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.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 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (-.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)) (*.f64 z z)))) (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 z (sin.f64 y))))) |
Compiled 186 024 to 5 169 computations (97.2% saved)
38 alts after pruning (35 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 975 | 34 | 3 009 |
| Fresh | 9 | 1 | 10 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 987 | 38 | 3 025 |
| Status | Accuracy | Program |
|---|---|---|
| 56.7% | (fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (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)))) #s(approx (/ (* z z) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 z z) x))))) | |
| 51.9% | (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 z (sin.f64 y)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 24.6% | (/.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 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))) | |
| 48.9% | (/.f64 (fma.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.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 x (cos.f64 y) (*.f64 z (sin.f64 y)))) | |
| 14.8% | (/.f64 #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (*.f64 (*.f64 z (neg.f64 z)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) | |
| 51.9% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 z (sin.f64 y)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 53.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)))) | |
| 54.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))))) | |
| 62.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))) | |
| 24.2% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 z z) (*.f64 x (*.f64 x x)))) (/.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))) | |
| 34.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) | |
| 31.2% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 (fma.f64 x (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)))) | |
| 40.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))) | |
| 38.4% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) | |
| ✓ | 99.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ▶ | 99.3% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) |
| 62.6% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) | |
| ▶ | 23.7% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (neg.f64 (sin.f64 y))))) |
| ▶ | 53.1% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) |
| 91.2% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 z))) | |
| 91.4% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))) | |
| 38.5% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (neg.f64 (*.f64 z (sin.f64 y)))) | |
| 25.8% | #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 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))) | |
| 53.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))) | |
| ✓ | 54.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
| ▶ | 25.7% | #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))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))) |
| 36.5% | #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)))) | |
| ✓ | 62.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
| 37.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 37.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 37.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) | |
| ▶ | 40.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
| 43.8% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) | |
| 18.2% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (neg.f64 y)))) | |
| 42.5% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z)))) | |
| 37.7% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 x #s(literal -1/2 binary64))) x))) | |
| 23.5% | #s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (*.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))))) | |
| 62.5% | #s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))) |
Compiled 1 423 to 808 computations (43.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (neg.f64 (sin.f64 y)))) | |
| cost-diff | 0 | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (neg.f64 (sin.f64 y))))) | |
| cost-diff | 128 | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) | |
| cost-diff | 128 | (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (neg.f64 (sin.f64 y))) | |
| cost-diff | 0 | (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) | |
| cost-diff | 0 | #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))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))) | |
| cost-diff | 4160 | (*.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (fma.f64 y (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) | |
| cost-diff | 0 | (fma.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x) | |
| cost-diff | 0 | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) | |
| 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 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) | |
| cost-diff | 0 | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) | |
| cost-diff | 128 | (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) | |
| cost-diff | 13760 | (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
| 7 412× | lower-fma.f32 |
| 7 398× | lower-fma.f64 |
| 4 736× | lower-*.f32 |
| 4 712× | lower-*.f64 |
| 2 068× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 519 |
| 0 | 107 | 541 |
| 1 | 225 | 533 |
| 2 | 575 | 441 |
| 3 | 1670 | 438 |
| 4 | 5981 | 438 |
| 0 | 8065 | 425 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) |
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
x |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(*.f64 y #s(literal -2 binary64)) |
y |
#s(literal -2 binary64) |
(cos.f64 y) |
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
(neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) |
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x) |
y |
(fma.f64 y (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) |
(fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) |
(*.f64 z y) |
z |
#s(literal 1/6 binary64) |
(*.f64 x #s(literal -1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
(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))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))) |
(*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) |
(fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) |
(*.f64 y z) |
y |
z |
(fma.f64 y z x) |
x |
(*.f64 x x) |
(-.f64 x (*.f64 y z)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (neg.f64 (sin.f64 y))))) |
(*.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (neg.f64 (sin.f64 y)))) |
z |
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (neg.f64 (sin.f64 y))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) |
#s(literal -1/2 binary64) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(*.f64 y #s(literal -2 binary64)) |
y |
#s(literal -2 binary64) |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
| Outputs |
|---|
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (-.f64 x (/.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))))) |
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (-.f64 x (/.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))) |
x |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(*.f64 y #s(literal -2 binary64)) |
y |
#s(literal -2 binary64) |
(cos.f64 y) |
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
(neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 (*.f64 z 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))) (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)) |
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x) |
(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) |
y |
(fma.f64 y (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) |
(fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) |
(fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) |
(*.f64 z y) |
(*.f64 y z) |
z |
#s(literal 1/6 binary64) |
(*.f64 x #s(literal -1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
(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))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))) |
(-.f64 x (*.f64 y z)) |
(*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) |
(*.f64 (fma.f64 z (*.f64 y (fma.f64 y z x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) |
(fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) |
(fma.f64 z (*.f64 y (fma.f64 y z x)) (*.f64 x x)) |
(*.f64 y z) |
y |
z |
(fma.f64 y z x) |
x |
(*.f64 x x) |
(-.f64 x (*.f64 y z)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y (fma.f64 y z x)) (*.f64 x x))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (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)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (sin.f64 y)))) |
(*.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (neg.f64 (sin.f64 y)))) |
(*.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (sin.f64 y))) |
z |
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (neg.f64 (sin.f64 y))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (sin.f64 y)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) |
(fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #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 #s(literal -2 binary64)))) |
(*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(*.f64 y #s(literal -2 binary64)) |
y |
#s(literal -2 binary64) |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.140625 | (*.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (neg.f64 (sin.f64 y)))) | |
| accuracy | 11.600594439162316 | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) | |
| accuracy | 19.434952859897226 | (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (neg.f64 (sin.f64 y))) | |
| accuracy | 39.30384222254289 | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (neg.f64 (sin.f64 y))))) | |
| accuracy | 0.125 | (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) | |
| accuracy | 0.43599469994054063 | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))) | |
| accuracy | 29.18012135006031 | #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))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))) | |
| accuracy | 37.70986203775164 | (*.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))) | |
| accuracy | 0.03515625 | (fma.f64 y (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) | |
| accuracy | 0.049160009768442016 | (fma.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x) | |
| accuracy | 0.1328125 | (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) | |
| accuracy | 30.037497984475483 | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) | |
| accuracy | 0.12890625 | (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) | |
| accuracy | 23.713209896066175 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) | |
| accuracy | 27.390108705921314 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 0.19140625 | (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) | |
| accuracy | 0.21875 | (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) | |
| accuracy | 0.23666000976844204 | (pow.f64 (cos.f64 y) #s(literal 2 binary64)) | |
| accuracy | 0.33651140527157747 | (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
| 125.0ms | 86× | 2 | valid |
| 115.0ms | 125× | 0 | valid |
| 42.0ms | 23× | 3 | valid |
| 21.0ms | 22× | 1 | valid |
Compiled 440 to 64 computations (85.5% saved)
ival-mult: 84.0ms (35.1% of total)ival-cos: 63.0ms (26.3% of total)adjust: 27.0ms (11.3% of total)ival-add: 22.0ms (9.2% of total)ival-div: 18.0ms (7.5% of total)ival-sin: 6.0ms (2.5% of total)ival-sub: 5.0ms (2.1% of total)ival-neg: 5.0ms (2.1% of total)const: 4.0ms (1.7% of total)ival-pow2: 3.0ms (1.3% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))> |
#<alt (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))> |
#<alt #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))> |
#<alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))> |
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))> |
#<alt (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))> |
#<alt #s(approx (cos y) #s(literal 1 binary64))> |
#<alt #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x))> |
#<alt (fma.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)> |
#<alt (fma.f64 y (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z))> |
#<alt (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64)))> |
#<alt (*.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))> |
#<alt #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))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))))> |
#<alt (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z)))> |
#<alt (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))> |
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (neg.f64 (sin.f64 y)))> |
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))> |
#<alt #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (neg.f64 (sin.f64 y)))))> |
#<alt (*.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (neg.f64 (sin.f64 y))))> |
#<alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))> |
#<alt (pow.f64 (cos.f64 y) #s(literal 2 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))> |
| Outputs |
|---|
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))> |
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))> |
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))> |
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))> |
#<alt (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 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 (/ 1 (cos y))) (* 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 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y))))))> |
#<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))) (/ (* 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))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* y (+ (* -1 z) (* y (- (* -1 x) (* -1/2 x))))))> |
#<alt (+ x (* y (+ (* -1 z) (* y (- (+ (* -1 x) (* -1 (* y (- (* -7/6 z) (* -1 z))))) (* -1/2 x))))))> |
#<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 (+ (* -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 (+ (* -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 (+ (* -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 (+ (* -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 (+ (* -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 (+ (* -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 (+ (* -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 (/ (* 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 (+ (* -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 (+ (* -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 (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))> |
#<alt (* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))> |
#<alt (* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))> |
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))))> |
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (* -1 (* y z))> |
#<alt (* y (+ (* -1 z) (* -1 (* (pow y 2) (- (* -7/6 z) (* -1 z))))))> |
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 (- (* -7/6 z) (* -1 z)))))))> |
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* -547/5040 z) (+ (* -1 (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z)))) (+ (* -2/45 z) (* 1/3 (- (* -7/6 z) (* -1 z)))))))) (* -1 (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))))))))> |
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<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)))> |
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#<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 1> |
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#<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> |
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#<alt (* x (cos y))> |
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#<alt (* x (cos y))> |
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#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
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#<alt (* x (cos y))> |
#<alt 1> |
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#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
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#<alt (* x (cos y))> |
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#<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))))> |
#<alt x> |
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#<alt (* x (cos y))> |
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#<alt x> |
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#<alt (* -1 z)> |
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#<alt (* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z))))))> |
#<alt (- (* 1/6 (* (pow y 2) z)) z)> |
#<alt (- (+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z))) z)> |
#<alt (- (+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z))) z)> |
#<alt (- (+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z))) z)> |
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#<alt (* x (- (+ (* -1/2 y) (* 1/6 (/ (* (pow y 2) z) x))) (/ z x)))> |
#<alt (* x (- (+ (* -1/2 y) (* 1/6 (/ (* (pow y 2) z) x))) (/ z x)))> |
#<alt (* -1/2 (* x y))> |
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#<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 (* -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 (* (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 (* -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> |
#<alt (+ 1 (* -1 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))> |
#<alt (pow (cos y) 2)> |
#<alt (pow (cos y) 2)> |
#<alt (pow (cos y) 2)> |
#<alt (pow (cos y) 2)> |
#<alt (pow (cos y) 2)> |
#<alt (pow (cos y) 2)> |
#<alt (pow (cos y) 2)> |
#<alt (pow (cos y) 2)> |
#<alt (/ 1 (pow x 2))> |
#<alt (+ (* -1 (/ (* y z) (pow x 3))) (/ 1 (pow x 2)))> |
#<alt (+ (* y (- (* -1 (* y (+ (* -1 (/ (pow z 2) (pow x 4))) (/ (pow z 2) (pow x 4))))) (/ z (pow x 3)))) (/ 1 (pow x 2)))> |
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* z (+ (* -1 (/ (pow z 2) (pow x 4))) (/ (pow z 2) (pow x 4)))) x)) (* -1 (/ (pow z 3) (pow x 5)))))) (+ (* -1 (/ (pow z 2) (pow x 4))) (/ (pow z 2) (pow x 4))))) (/ z (pow x 3)))) (/ 1 (pow x 2)))> |
#<alt (/ 1 (* (pow y 2) (pow z 2)))> |
#<alt (/ (+ (* -1 (/ x (* y (pow z 3)))) (/ 1 (pow z 2))) (pow y 2))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4))) (pow y 2))) (/ 1 (pow z 2))) (/ x (* y (pow z 3)))) (pow y 2))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4)))) z)) (* -1 (/ (pow x 3) (pow z 5)))) (pow y 3))) (/ 1 (pow z 2))) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 4)))) (+ (/ x (* y (pow z 3))) (/ (pow x 2) (* (pow y 2) (pow z 4)))))) (pow y 2))> |
#<alt (/ 1 (* (pow y 2) (pow z 2)))> |
#<alt (/ (+ (* -1 (/ x (* y (pow z 3)))) (/ 1 (pow z 2))) (pow y 2))> |
#<alt (/ (+ (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* y (pow z 4)))) (/ (pow x 2) (* y (pow z 4)))) (* -1 (/ x (pow z 3)))) y)) (/ 1 (pow z 2))) (pow y 2))> |
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4)))) (* y z)) (/ (pow x 3) (* y (pow z 5)))) (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4)))) y)) (* -1 (/ x (pow z 3)))) y)) (/ 1 (pow z 2))) (pow y 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (+ (* -1 (/ (* y z) (pow x 3))) (/ 1 (pow x 2)))> |
#<alt (+ (* z (- (* -1 (* z (+ (* -1 (/ (pow y 2) (pow x 4))) (/ (pow y 2) (pow x 4))))) (/ y (pow x 3)))) (/ 1 (pow x 2)))> |
#<alt (+ (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (* y (+ (* -1 (/ (pow y 2) (pow x 4))) (/ (pow y 2) (pow x 4)))) x)) (* -1 (/ (pow y 3) (pow x 5)))))) (+ (* -1 (/ (pow y 2) (pow x 4))) (/ (pow y 2) (pow x 4))))) (/ y (pow x 3)))) (/ 1 (pow x 2)))> |
#<alt (/ 1 (* (pow y 2) (pow z 2)))> |
#<alt (/ (+ (* -1 (/ x (* (pow y 3) z))) (/ 1 (pow y 2))) (pow z 2))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (pow y 4))) (/ (pow x 2) (pow y 4))) (pow z 2))) (/ 1 (pow y 2))) (/ x (* (pow y 3) z))) (pow z 2))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* -1 (/ (pow x 2) (pow y 4))) (/ (pow x 2) (pow y 4)))) y)) (* -1 (/ (pow x 3) (pow y 5)))) (pow z 3))) (/ 1 (pow y 2))) (+ (* -1 (/ (pow x 2) (* (pow y 4) (pow z 2)))) (+ (/ x (* (pow y 3) z)) (/ (pow x 2) (* (pow y 4) (pow z 2)))))) (pow z 2))> |
#<alt (/ 1 (* (pow y 2) (pow z 2)))> |
#<alt (/ (+ (* -1 (/ x (* (pow y 3) z))) (/ 1 (pow y 2))) (pow z 2))> |
#<alt (/ (+ (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* (pow y 4) z))) (/ (pow x 2) (* (pow y 4) z))) (* -1 (/ x (pow y 3)))) z)) (/ 1 (pow y 2))) (pow z 2))> |
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (+ (* -1 (/ (pow x 2) (pow y 4))) (/ (pow x 2) (pow y 4)))) (* y z)) (/ (pow x 3) (* (pow y 5) z))) (+ (* -1 (/ (pow x 2) (pow y 4))) (/ (pow x 2) (pow y 4)))) z)) (* -1 (/ x (pow y 3)))) z)) (/ 1 (pow y 2))) (pow z 2))> |
#<alt (/ 1 (* (pow y 2) (pow z 2)))> |
#<alt (+ (* -1 (/ x (* (pow y 3) (pow z 3)))) (/ 1 (* (pow y 2) (pow z 2))))> |
#<alt (+ (* x (- (/ (pow x 2) (* (pow y 5) (pow z 5))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2))))> |
#<alt (+ (* x (- (* (pow x 2) (+ (* -1 (/ x (* (pow y 6) (pow z 6)))) (/ 1 (* (pow y 5) (pow z 5))))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2))))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ (+ 1 (* -1 (/ (* y z) x))) (pow x 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))) (pow x 2)))) (/ (* y z) x)) (pow x 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* y (* z (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2)))))) (* -1 (* (pow y 3) (pow z 3)))) (pow x 3)))) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (+ (/ (* y z) x) (/ (* (pow y 2) (pow z 2)) (pow x 2))))) (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ (+ 1 (* -1 (/ (* y z) x))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (/ (* (pow y 2) (pow z 2)) x)) (* -1 (* y z))) x))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* y (* z (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))))) x) (/ (* (pow y 3) (pow z 3)) x)) (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2)))) x)) (* -1 (* y z))) x))) (pow x 2))> |
153 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 43.0ms | y | @ | -inf | (/ 1 (+ (* (* y z) (+ (* y z) x)) (* x x))) |
| 22.0ms | y | @ | inf | (+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (neg (pow (cos y) 2)))) |
| 13.0ms | z | @ | -inf | (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) |
| 2.0ms | y | @ | -inf | (+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (neg (pow (cos y) 2)))) |
| 2.0ms | x | @ | 0 | (+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (neg (pow (cos y) 2)))) |
| 1× | egg-herbie |
| 8 322× | lower-fma.f64 |
| 8 322× | lower-fma.f32 |
| 6 520× | lower-*.f64 |
| 6 520× | lower-*.f32 |
| 4 724× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1106 | 11577 |
| 1 | 3799 | 11019 |
| 0 | 8838 | 10362 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))) |
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 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 (/ 1 (cos y))) (* 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 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y)))))) |
(/ (* 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))) (/ (* 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))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (+ (* -1 z) (* y (- (* -1 x) (* -1/2 x)))))) |
(+ x (* y (+ (* -1 z) (* y (- (+ (* -1 x) (* -1 (* y (- (* -7/6 z) (* -1 z))))) (* -1/2 x)))))) |
(+ (* -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))) |
(+ (* -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))) |
(+ (* -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))) |
(+ (* -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))) |
(+ (* -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))) |
(+ (* -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))) |
(+ (* -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))) |
(+ (* -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))) |
(/ (* 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))) |
(+ (* -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))) |
(+ (* -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))) |
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))))) |
(* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))))) |
(* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))))) |
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))) |
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))) |
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))) |
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (* -1 (* (pow y 2) (- (* -7/6 z) (* -1 z)))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 (- (* -7/6 z) (* -1 z))))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* -547/5040 z) (+ (* -1 (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z)))) (+ (* -2/45 z) (* 1/3 (- (* -7/6 z) (* -1 z)))))))) (* -1 (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z)))))))))) |
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
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(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) |
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(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) |
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(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y)) |
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(* x (cos y)) |
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(* x (cos y)) |
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(cos y) |
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(* (pow y 3) (+ (* -1 (/ (* x (pow z 2)) y)) (+ (* -1 (/ (* (pow x 2) z) (pow y 2))) (+ (* -1 (pow z 3)) (+ (/ (* x (pow z 2)) y) (+ (/ (* (pow x 2) z) (pow y 2)) (/ (pow x 3) (pow y 3)))))))) |
(* -1 (* (pow y 3) (pow z 3))) |
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(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (+ (* -1 (/ (+ (* -1 (* (pow x 2) z)) (+ (* -1 (/ (pow x 3) y)) (* (pow x 2) z))) y)) (* x (pow z 2)))) y)) (pow z 3)))) |
(pow x 3) |
(+ (* z (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y))) (pow x 3)) |
(+ (* z (+ (* -1 (* (pow x 2) y)) (+ (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2)))) (* (pow x 2) y)))) (pow x 3)) |
(+ (* z (+ (* -1 (* (pow x 2) y)) (+ (* z (+ (* -1 (* x (pow y 2))) (+ (* -1 (* (pow y 3) z)) (* x (pow y 2))))) (* (pow x 2) y)))) (pow x 3)) |
(* -1 (* (pow y 3) (pow z 3))) |
(* (pow z 3) (+ (* -1 (/ (* x (pow y 2)) z)) (+ (* -1 (pow y 3)) (/ (* x (pow y 2)) z)))) |
(* (pow z 3) (+ (* -1 (/ (* x (pow y 2)) z)) (+ (* -1 (/ (* (pow x 2) y) (pow z 2))) (+ (* -1 (pow y 3)) (+ (/ (* x (pow y 2)) z) (/ (* (pow x 2) y) (pow z 2))))))) |
(* (pow z 3) (+ (* -1 (/ (* x (pow y 2)) z)) (+ (* -1 (/ (* (pow x 2) y) (pow z 2))) (+ (* -1 (pow y 3)) (+ (/ (* x (pow y 2)) z) (+ (/ (* (pow x 2) y) (pow z 2)) (/ (pow x 3) (pow z 3)))))))) |
(* -1 (* (pow y 3) (pow z 3))) |
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(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (+ (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y)) z)) (* x (pow y 2)))) z)) (pow y 3)))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (+ (* -1 (/ (+ (* -1 (* (pow x 2) y)) (+ (* -1 (/ (pow x 3) z)) (* (pow x 2) y))) z)) (* x (pow y 2)))) z)) (pow y 3)))) |
(* -1 (* (pow y 3) (pow z 3))) |
(+ (* -1 (* (pow y 3) (pow z 3))) (* x (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))))) |
(+ (* -1 (* (pow y 3) (pow z 3))) (* x (+ (* -1 (* (pow y 2) (pow z 2))) (+ (* x (+ (* -1 (* y z)) (* y z))) (* (pow y 2) (pow z 2)))))) |
(+ (* -1 (* (pow y 3) (pow z 3))) (* x (+ (* -1 (* (pow y 2) (pow z 2))) (+ (* x (+ x (+ (* -1 (* y z)) (* y z)))) (* (pow y 2) (pow z 2)))))) |
(pow x 3) |
(* (pow x 3) (+ 1 (+ (* -1 (/ (* y z) x)) (/ (* y z) x)))) |
(* (pow x 3) (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (+ (/ (* y z) x) (/ (* (pow y 2) (pow z 2)) (pow x 2))))))) |
(* (pow x 3) (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (+ (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) (+ (/ (* y z) x) (/ (* (pow y 2) (pow z 2)) (pow x 2)))))))) |
(pow x 3) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (* y z) x)) (/ (* y z) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (+ (* -1 (* y z)) (* y z))) (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (/ (* (pow y 2) (pow z 2)) x))) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (+ (* -1 (* y z)) (* y z))) (* -1 (/ (+ (* -1 (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2)))) (/ (* (pow y 3) (pow z 3)) x)) x))) x)) 1))) |
(pow x 2) |
(+ (* x (* y z)) (pow x 2)) |
(+ (* y (+ (* x z) (* y (pow z 2)))) (pow x 2)) |
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(* (pow y 2) (pow z 2)) |
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(* (pow y 2) (+ (/ (* x z) y) (+ (/ (pow x 2) (pow y 2)) (pow z 2)))) |
(* (pow y 2) (pow z 2)) |
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(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (pow x 2) y))) y)) (pow z 2))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (pow x 2) y))) y)) (pow z 2))) |
(pow x 2) |
(+ (* x (* y z)) (pow x 2)) |
(+ (* z (+ (* x y) (* (pow y 2) z))) (pow x 2)) |
(+ (* z (+ (* x y) (* (pow y 2) z))) (pow x 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow z 2) (+ (/ (* x y) z) (pow y 2))) |
(* (pow z 2) (+ (/ (* x y) z) (+ (/ (pow x 2) (pow z 2)) (pow y 2)))) |
(* (pow z 2) (+ (/ (* x y) z) (+ (/ (pow x 2) (pow z 2)) (pow y 2)))) |
(* (pow y 2) (pow z 2)) |
(* (pow z 2) (+ (/ (* x y) z) (pow y 2))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (pow x 2) z))) z)) (pow y 2))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (pow x 2) z))) z)) (pow y 2))) |
(* (pow y 2) (pow z 2)) |
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(+ (* x (+ x (* y z))) (* (pow y 2) (pow z 2))) |
(+ (* x (+ x (* y z))) (* (pow y 2) (pow z 2))) |
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(* (pow x 2) (+ 1 (/ (* y z) x))) |
(* (pow x 2) (+ 1 (+ (/ (* y z) x) (/ (* (pow y 2) (pow z 2)) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (/ (* y z) x) (/ (* (pow y 2) (pow z 2)) (pow x 2))))) |
(pow x 2) |
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(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y z)) (* -1 (/ (* (pow y 2) (pow z 2)) x))) x)))) |
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(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))) |
(* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))) |
(* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))) |
(* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))) |
(* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))) |
(* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))) |
(* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))) |
(* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) |
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(* (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)))) |
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(+ 1/2 (* -1/2 (cos (* -2 y)))) |
(+ 1/2 (* -1/2 (cos (* -2 y)))) |
(+ 1/2 (* -1/2 (cos (* -2 y)))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* y (- (* -1 x) (* -1/2 x))) z))) |
(+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (* -1/2 x))) x)))))) (* -1/2 x))) z))) |
(/ (+ (* -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)))) |
(/ (+ (* -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)))) |
(/ (+ (* -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)))) |
(/ (+ (* -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)))) |
(/ (+ (* -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)))) |
(/ (+ (* -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)))) |
(/ (+ (* -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)))) |
(/ (+ (* -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)))) |
(/ (* 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))) |
(+ (* 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))) |
(+ (* 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))) |
(* -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) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))))) |
(* 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)))))) |
(* 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))))) |
(* -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))) |
(* -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 (* -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 |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
1 |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(/ 1 (pow x 2)) |
(+ (* -1 (/ (* y z) (pow x 3))) (/ 1 (pow x 2))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ (pow z 2) (pow x 4))) (/ (pow z 2) (pow x 4))))) (/ z (pow x 3)))) (/ 1 (pow x 2))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* z (+ (* -1 (/ (pow z 2) (pow x 4))) (/ (pow z 2) (pow x 4)))) x)) (* -1 (/ (pow z 3) (pow x 5)))))) (+ (* -1 (/ (pow z 2) (pow x 4))) (/ (pow z 2) (pow x 4))))) (/ z (pow x 3)))) (/ 1 (pow x 2))) |
(/ 1 (* (pow y 2) (pow z 2))) |
(/ (+ (* -1 (/ x (* y (pow z 3)))) (/ 1 (pow z 2))) (pow y 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4))) (pow y 2))) (/ 1 (pow z 2))) (/ x (* y (pow z 3)))) (pow y 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4)))) z)) (* -1 (/ (pow x 3) (pow z 5)))) (pow y 3))) (/ 1 (pow z 2))) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 4)))) (+ (/ x (* y (pow z 3))) (/ (pow x 2) (* (pow y 2) (pow z 4)))))) (pow y 2)) |
(/ 1 (* (pow y 2) (pow z 2))) |
(/ (+ (* -1 (/ x (* y (pow z 3)))) (/ 1 (pow z 2))) (pow y 2)) |
(/ (+ (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* y (pow z 4)))) (/ (pow x 2) (* y (pow z 4)))) (* -1 (/ x (pow z 3)))) y)) (/ 1 (pow z 2))) (pow y 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4)))) (* y z)) (/ (pow x 3) (* y (pow z 5)))) (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4)))) y)) (* -1 (/ x (pow z 3)))) y)) (/ 1 (pow z 2))) (pow y 2)) |
(/ 1 (pow x 2)) |
(+ (* -1 (/ (* y z) (pow x 3))) (/ 1 (pow x 2))) |
(+ (* z (- (* -1 (* z (+ (* -1 (/ (pow y 2) (pow x 4))) (/ (pow y 2) (pow x 4))))) (/ y (pow x 3)))) (/ 1 (pow x 2))) |
(+ (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (* y (+ (* -1 (/ (pow y 2) (pow x 4))) (/ (pow y 2) (pow x 4)))) x)) (* -1 (/ (pow y 3) (pow x 5)))))) (+ (* -1 (/ (pow y 2) (pow x 4))) (/ (pow y 2) (pow x 4))))) (/ y (pow x 3)))) (/ 1 (pow x 2))) |
(/ 1 (* (pow y 2) (pow z 2))) |
(/ (+ (* -1 (/ x (* (pow y 3) z))) (/ 1 (pow y 2))) (pow z 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (pow y 4))) (/ (pow x 2) (pow y 4))) (pow z 2))) (/ 1 (pow y 2))) (/ x (* (pow y 3) z))) (pow z 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* -1 (/ (pow x 2) (pow y 4))) (/ (pow x 2) (pow y 4)))) y)) (* -1 (/ (pow x 3) (pow y 5)))) (pow z 3))) (/ 1 (pow y 2))) (+ (* -1 (/ (pow x 2) (* (pow y 4) (pow z 2)))) (+ (/ x (* (pow y 3) z)) (/ (pow x 2) (* (pow y 4) (pow z 2)))))) (pow z 2)) |
(/ 1 (* (pow y 2) (pow z 2))) |
(/ (+ (* -1 (/ x (* (pow y 3) z))) (/ 1 (pow y 2))) (pow z 2)) |
(/ (+ (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* (pow y 4) z))) (/ (pow x 2) (* (pow y 4) z))) (* -1 (/ x (pow y 3)))) z)) (/ 1 (pow y 2))) (pow z 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (+ (* -1 (/ (pow x 2) (pow y 4))) (/ (pow x 2) (pow y 4)))) (* y z)) (/ (pow x 3) (* (pow y 5) z))) (+ (* -1 (/ (pow x 2) (pow y 4))) (/ (pow x 2) (pow y 4)))) z)) (* -1 (/ x (pow y 3)))) z)) (/ 1 (pow y 2))) (pow z 2)) |
(/ 1 (* (pow y 2) (pow z 2))) |
(+ (* -1 (/ x (* (pow y 3) (pow z 3)))) (/ 1 (* (pow y 2) (pow z 2)))) |
(+ (* x (- (/ (pow x 2) (* (pow y 5) (pow z 5))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2)))) |
(+ (* x (- (* (pow x 2) (+ (* -1 (/ x (* (pow y 6) (pow z 6)))) (/ 1 (* (pow y 5) (pow z 5))))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2)))) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1 (/ (* y z) x))) (pow x 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))) (pow x 2)))) (/ (* y z) x)) (pow x 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* y (* z (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2)))))) (* -1 (* (pow y 3) (pow z 3)))) (pow x 3)))) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (+ (/ (* y z) x) (/ (* (pow y 2) (pow z 2)) (pow x 2))))) (pow x 2)) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1 (/ (* y z) x))) (pow x 2)) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (/ (* (pow y 2) (pow z 2)) x)) (* -1 (* y z))) x))) (pow x 2)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* y (* z (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))))) x) (/ (* (pow y 3) (pow z 3)) x)) (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2)))) x)) (* -1 (* y z))) x))) (pow x 2)) |
| Outputs |
|---|
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))) |
(-.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))) |
(-.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))) |
(-.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) |
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y)))))) |
(*.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)))) |
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y)))))) |
(*.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)))) |
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y)))))) |
(*.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)))) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 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)))))) |
(*.f64 (neg.f64 x) (fma.f64 z (/.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 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)))))) |
(*.f64 (neg.f64 x) (fma.f64 z (/.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 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)))))) |
(*.f64 (neg.f64 x) (fma.f64 z (/.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y)))) |
x |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 z y)) |
(+ x (* y (+ (* -1 z) (* y (- (* -1 x) (* -1/2 x)))))) |
(fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x) |
(+ x (* y (+ (* -1 z) (* y (- (+ (* -1 x) (* -1 (* y (- (* -7/6 z) (* -1 z))))) (* -1/2 x)))))) |
(fma.f64 y (-.f64 (*.f64 y (+.f64 (neg.f64 x) (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) x)))) z) x) |
(+ (* -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))) |
(-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 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))) |
(-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
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(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (* -1 (/ (* y z) x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (/ (* (pow y 2) (pow z 2)) x)) (* -1 (* y z))) x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* y (* z (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))))) x) (/ (* (pow y 3) (pow z 3)) x)) (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2)))) x)) (* -1 (* y z))) x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 y (/.f64 (*.f64 z #s(literal 0 binary64)) x) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 z (*.f64 z z)) x) #s(literal 0 binary64))) (neg.f64 x)) (*.f64 z y)) x)) (*.f64 x x)) |
| 6 084× | lower-*.f32 |
| 6 060× | lower-*.f64 |
| 5 150× | lower-fma.f32 |
| 5 136× | lower-fma.f64 |
| 2 650× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 424 |
| 0 | 107 | 416 |
| 1 | 434 | 306 |
| 2 | 3608 | 302 |
| 0 | 8834 | 298 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (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)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) |
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x) |
(fma.f64 y (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) |
(fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))) |
#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))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))) |
(*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) |
(fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (neg.f64 (sin.f64 y))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (neg.f64 (sin.f64 y))))) |
(*.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (neg.f64 (sin.f64 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))) |
| Outputs |
|---|
(+.f64 (neg.f64 (/.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))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
(+.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (neg.f64 (/.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))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (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))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 (*.f64 (sin.f64 y) (neg.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 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))) (/.f64 (pow.f64 (/.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))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 (*.f64 (sin.f64 y) (neg.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 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))))) |
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (neg.f64 (/.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))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x) (neg.f64 (/.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))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (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 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) x (neg.f64 (/.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))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) |
(fma.f64 z (*.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 x (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 z (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (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 z (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (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 (sin.f64 y) (*.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 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
(fma.f64 (*.f64 z (sin.f64 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 (/.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))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
(fma.f64 #s(literal -1 binary64) (/.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))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 x (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 #s(literal -1 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 #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (/.f64 (*.f64 x (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 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.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(literal -1 binary64)) (/.f64 (*.f64 x (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 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 y)) (neg.f64 (/.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))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (*.f64 z (sin.f64 y)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
(fma.f64 (/.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 x (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 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 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 z (sin.f64 y))) #s(literal -1 binary64)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
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(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
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(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x))))) |
(*.f64 (pow.f64 (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 z (fma.f64 y z x))) (*.f64 y (*.f64 (*.f64 z (fma.f64 y z x)) (*.f64 y (*.f64 z (fma.f64 y z x)))))))) (fma.f64 y (*.f64 (*.f64 z (fma.f64 y z x)) (*.f64 y (*.f64 z (fma.f64 y z x)))) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (fma.f64 y z x))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 z (fma.f64 y z x))) (*.f64 y (*.f64 (*.f64 z (fma.f64 y z x)) (*.f64 y (*.f64 z (fma.f64 y z x)))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (*.f64 z (fma.f64 y z x)) (*.f64 y (*.f64 z (fma.f64 y z x)))) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (fma.f64 y z x))))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)) (fma.f64 y (*.f64 z (fma.f64 y z x)) (neg.f64 (*.f64 x x))))) (fma.f64 y (*.f64 z (fma.f64 y z x)) (neg.f64 (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)) (fma.f64 y (*.f64 z (fma.f64 y z x)) (neg.f64 (*.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (fma.f64 y z x)) (neg.f64 (*.f64 x x)))) #s(literal -1 binary64))) |
Compiled 47 342 to 2 982 computations (93.7% saved)
50 alts after pruning (46 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 293 | 27 | 1 320 |
| Fresh | 11 | 19 | 30 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 308 | 50 | 1 358 |
| Status | Accuracy | Program |
|---|---|---|
| 56.7% | (fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (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)))) #s(approx (/ (* z z) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 z z) x))))) | |
| 51.9% | (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 z (sin.f64 y)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 51.9% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 z (sin.f64 y)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 53.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)))) | |
| 54.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))))) | |
| 62.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))) | |
| 34.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) | |
| 40.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))) | |
| 38.4% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) | |
| ✓ | 99.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ▶ | 99.5% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 (/.f64 #s(literal -1 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 #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))) |
| 66.1% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) #s(approx (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (neg (pow (cos y) 2))) (neg.f64 (*.f64 z y))))) | |
| 99.3% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (-.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (cos.f64 y))) (cos.f64 y))) | |
| 23.7% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 (neg.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) z) (sin.f64 y))) | |
| ▶ | 62.6% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
| 23.7% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 z (/.f64 (neg.f64 (sin.f64 y)) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) | |
| 23.2% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))) | |
| 23.7% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))) z)) | |
| 23.5% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z (/.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 #s(literal -2 binary64)))))))) (*.f64 (neg.f64 (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) | |
| 18.0% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (*.f64 y (fma.f64 (*.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)) #s(literal -1 binary64)))))) | |
| 17.9% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) | |
| ▶ | 18.2% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (neg.f64 y)))) |
| 38.2% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (neg (pow (cos y) 2)))) (/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) | |
| 53.0% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal 1/6 binary64)) (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z))) x)) | |
| 53.7% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y #s(approx (+ (* (* z y) 1/6) (* x -1/2)) (*.f64 (*.f64 z y) #s(literal 1/6 binary64))) (neg.f64 z)) x)) | |
| 36.3% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (/.f64 (-.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) (*.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) (*.f64 y y))) (*.f64 z z)) (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) z)) x)) | |
| 37.8% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y #s(approx (+ (* y (+ (* (* z y) 1/6) (* x -1/2))) (neg z)) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x)) | |
| 38.2% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y #s(approx (+ (* y (+ (* (* z y) 1/6) (* x -1/2))) (neg z)) (*.f64 #s(literal 1/6 binary64) (*.f64 z (*.f64 y y)))) x)) | |
| 91.2% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 z))) | |
| 91.4% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 z (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)))) | |
| 38.5% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (neg.f64 (*.f64 z (sin.f64 y)))) | |
| 37.8% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* (* z y) 1/6) (* x -1/2))) (neg z))) x) (fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x))) | |
| 18.0% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* (* z y) 1/6) (* x -1/2))) (neg z))) x) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))) | |
| 3.1% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* (* z y) 1/6) (* x -1/2))) (neg z))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 z (*.f64 y (*.f64 y y)))))) | |
| 25.8% | #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 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))) | |
| 53.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))) | |
| ✓ | 54.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
| 13.2% | #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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (fma.f64 x (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y))))))) | |
| 36.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))) | |
| 12.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (fma.f64 x (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y)))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))) | |
| 15.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x (fma.f64 z y x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))) | |
| ▶ | 14.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))) |
| 14.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))) | |
| ✓ | 62.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
| 37.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| ▶ | 37.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
| ✓ | 40.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
| 43.8% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) | |
| 42.5% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z)))) | |
| 37.7% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 x #s(literal -1/2 binary64))) x))) |
Compiled 1 923 to 1 059 computations (44.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) | |
| cost-diff | 0 | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) | |
| cost-diff | 0 | #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))) | |
| cost-diff | 320 | (*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))) | |
| 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 | (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 z #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (neg.f64 y))) | |
| cost-diff | 0 | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (neg.f64 y)))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 (/.f64 #s(literal -1 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 #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))) | |
| cost-diff | 192 | (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) | |
| cost-diff | 7552 | (fma.f64 (/.f64 #s(literal -1 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 #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
| 13 012× | lower-fma.f32 |
| 12 998× | lower-fma.f64 |
| 5 052× | lower-*.f32 |
| 5 030× | lower-*.f64 |
| 1 956× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 609 |
| 0 | 112 | 606 |
| 1 | 215 | 599 |
| 2 | 474 | 583 |
| 3 | 1174 | 579 |
| 4 | 3470 | 574 |
| 0 | 8085 | 560 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 (/.f64 #s(literal -1 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 #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (/.f64 (*.f64 x (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 #s(literal -1 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 #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
#s(literal -1 binary64) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(cos.f64 (+.f64 y y)) |
(+.f64 y y) |
y |
(*.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))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(*.f64 y #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
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)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (neg.f64 y)))) |
(*.f64 z #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (neg.f64 y))) |
z |
#s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
x |
#s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(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) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))) |
(*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))) |
(*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) |
#s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) |
(*.f64 x x) |
x |
(-.f64 x (*.f64 y z)) |
(*.f64 y z) |
y |
z |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) |
(fma.f64 y z x) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
x |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(*.f64 y #s(literal -2 binary64)) |
y |
#s(literal -2 binary64) |
(cos.f64 y) |
| Outputs |
|---|
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 (/.f64 #s(literal -1 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 #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* 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)) (fma.f64 z (/.f64 (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))))) |
(fma.f64 (/.f64 #s(literal -1 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 #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (fma.f64 z (/.f64 (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)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -2 binary64) (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64))) |
#s(literal -1 binary64) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(cos.f64 (+.f64 y y)) |
(+.f64 y y) |
y |
(*.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))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(*.f64 y #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (cos.f64 (*.f64 y #s(literal -2 binary64))) x)) |
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)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (neg.f64 y)))) |
(*.f64 z #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (neg.f64 y))) |
z |
#s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) |
(*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 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) (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 y (*.f64 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 y (*.f64 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) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (fma.f64 y (neg.f64 z) x)) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)))) |
(*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))) |
(/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (fma.f64 y (neg.f64 z) x)) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x))) |
(*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) |
(*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (fma.f64 y (neg.f64 z) x)) |
#s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) |
(*.f64 x x) |
x |
(-.f64 x (*.f64 y z)) |
(fma.f64 y (neg.f64 z) x) |
(*.f64 y z) |
y |
z |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x))) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) |
(fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)) |
(fma.f64 y z x) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* 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)))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (cos.f64 (*.f64 y #s(literal -2 binary64))) x)) |
x |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(*.f64 y #s(literal -2 binary64)) |
y |
#s(literal -2 binary64) |
(cos.f64 y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09765625 | (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) | |
| accuracy | 0.1171875 | (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) | |
| accuracy | 0.33651140527157763 | (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) | |
| accuracy | 23.713209896066175 | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) | |
| accuracy | 0.43599469994054063 | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))) | |
| accuracy | 26.667238223152577 | #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) | |
| accuracy | 29.18012135006031 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))) | |
| accuracy | 37.70986203775164 | (*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))) | |
| accuracy | 0.1015625 | (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) | |
| accuracy | 0.12890625 | (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| accuracy | 23.713209896066175 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| accuracy | 30.105344403872603 | #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 | 0 | (neg.f64 y) | |
| accuracy | 0.140625 | (*.f64 z #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (neg.f64 y))) | |
| accuracy | 30.01371052328277 | #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (neg.f64 y)) | |
| accuracy | 39.30384222254289 | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (neg.f64 y)))) | |
| accuracy | 0.140625 | (*.f64 z (sin.f64 y)) | |
| accuracy | 0.189785009768442 | (*.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))) | |
| accuracy | 0.33651140527157747 | (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) | |
| accuracy | 0.33651140527157763 | (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
| 124.0ms | 86× | 2 | valid |
| 62.0ms | 125× | 0 | valid |
| 49.0ms | 23× | 3 | valid |
| 19.0ms | 22× | 1 | valid |
Compiled 479 to 59 computations (87.7% saved)
ival-cos: 61.0ms (29.5% of total)ival-mult: 47.0ms (22.7% of total)ival-add: 29.0ms (14% of total)adjust: 28.0ms (13.5% of total)ival-div: 15.0ms (7.3% of total)ival-neg: 7.0ms (3.4% of total)const: 7.0ms (3.4% of total)ival-sub: 5.0ms (2.4% of total)ival-sin: 5.0ms (2.4% 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 (fma.f64 (/.f64 #s(literal -1 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 #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))> |
#<alt (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))> |
#<alt #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 (/.f64 #s(literal -1 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 #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))))> |
#<alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))> |
#<alt #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (neg.f64 y))))> |
#<alt (*.f64 z #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (neg.f64 y)))> |
#<alt #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (neg.f64 y))> |
#<alt (neg.f64 y)> |
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))> |
#<alt (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))> |
#<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 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))> |
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))))> |
#<alt (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z)))> |
#<alt #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x))> |
#<alt #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))> |
#<alt (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))> |
#<alt (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))> |
#<alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))> |
#<alt (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y)))> |
#<alt (*.f64 z (sin.f64 y))> |
#<alt (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))> |
| Outputs |
|---|
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* y (+ (* -1 z) (* y (- (* -1 x) (* -1/2 x))))))> |
#<alt (+ x (* y (+ (* -1 z) (* y (- (+ (* -1 x) (* -1 (* y (- (* -7/6 z) (* -1 z))))) (* -1/2 x))))))> |
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))> |
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))> |
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))> |
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))> |
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))> |
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))> |
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))> |
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))> |
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))> |
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))> |
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))> |
#<alt (* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))> |
#<alt (* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))> |
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))))> |
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))> |
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))> |
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))> |
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))> |
#<alt (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y))))))> |
#<alt (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y))))))> |
#<alt (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y))))))> |
#<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 (+ 1/2 (* 1/2 (cos (* 2 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 (+ 1/2 (* 1/2 (cos (* 2 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 (+ 1/2 (* 1/2 (cos (* 2 y)))))))))> |
#<alt -1> |
#<alt (- (* -1 (pow y 2)) 1)> |
#<alt (- (* (pow y 2) (- (* -2/3 (pow y 2)) 1)) 1)> |
#<alt (- (* (pow y 2) (- (* (pow y 2) (- (* -17/45 (pow y 2)) 2/3)) 1)) 1)> |
#<alt (/ -1 (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (/ -1 (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (/ -1 (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (/ -1 (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (/ -1 (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))> |
#<alt (/ -1 (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))> |
#<alt (/ -1 (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))> |
#<alt (/ -1 (+ 1/2 (* 1/2 (cos (neg (* -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)))))> |
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#<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))> |
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#<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)))))> |
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#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))> |
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#<alt (* -1 y)> |
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#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt x> |
#<alt (+ x (* -1 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (+ (* -1 x) (* 1/3 (* x (pow y 2))))))> |
#<alt (+ x (* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -2/45 (* x (pow y 2))) (* 1/3 x))))))> |
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* x (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -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 (* y z)> |
#<alt (* y (+ z (* -7/6 (* (pow y 2) z))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -7/6 z) (* 61/120 (* (pow y 2) z))))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -7/6 z) (* (pow y 2) (+ (* -547/5040 (* (pow y 2) z)) (* 61/120 z)))))))> |
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))> |
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))> |
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))> |
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))> |
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))> |
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))> |
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))> |
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))> |
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))> |
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))> |
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))> |
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))> |
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))> |
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))> |
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))> |
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))> |
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))> |
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))> |
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))> |
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 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 (pow x 2))> |
#<alt (+ (* -1 (/ (* y z) (pow x 3))) (/ 1 (pow x 2)))> |
#<alt (+ (* y (- (* -1 (* y (+ (* -1 (/ (pow z 2) (pow x 4))) (/ (pow z 2) (pow x 4))))) (/ z (pow x 3)))) (/ 1 (pow x 2)))> |
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* z (+ (* -1 (/ (pow z 2) (pow x 4))) (/ (pow z 2) (pow x 4)))) x)) (* -1 (/ (pow z 3) (pow x 5)))))) (+ (* -1 (/ (pow z 2) (pow x 4))) (/ (pow z 2) (pow x 4))))) (/ z (pow x 3)))) (/ 1 (pow x 2)))> |
#<alt (/ 1 (* (pow y 2) (pow z 2)))> |
#<alt (/ (+ (* -1 (/ x (* y (pow z 3)))) (/ 1 (pow z 2))) (pow y 2))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4))) (pow y 2))) (/ 1 (pow z 2))) (/ x (* y (pow z 3)))) (pow y 2))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4)))) z)) (* -1 (/ (pow x 3) (pow z 5)))) (pow y 3))) (/ 1 (pow z 2))) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 4)))) (+ (/ x (* y (pow z 3))) (/ (pow x 2) (* (pow y 2) (pow z 4)))))) (pow y 2))> |
#<alt (/ 1 (* (pow y 2) (pow z 2)))> |
#<alt (/ (+ (* -1 (/ x (* y (pow z 3)))) (/ 1 (pow z 2))) (pow y 2))> |
#<alt (/ (+ (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* y (pow z 4)))) (/ (pow x 2) (* y (pow z 4)))) (* -1 (/ x (pow z 3)))) y)) (/ 1 (pow z 2))) (pow y 2))> |
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4)))) (* y z)) (/ (pow x 3) (* y (pow z 5)))) (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4)))) y)) (* -1 (/ x (pow z 3)))) y)) (/ 1 (pow z 2))) (pow y 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (+ (* -1 (/ (* y z) (pow x 3))) (/ 1 (pow x 2)))> |
#<alt (+ (* z (- (* -1 (* z (+ (* -1 (/ (pow y 2) (pow x 4))) (/ (pow y 2) (pow x 4))))) (/ y (pow x 3)))) (/ 1 (pow x 2)))> |
#<alt (+ (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (* y (+ (* -1 (/ (pow y 2) (pow x 4))) (/ (pow y 2) (pow x 4)))) x)) (* -1 (/ (pow y 3) (pow x 5)))))) (+ (* -1 (/ (pow y 2) (pow x 4))) (/ (pow y 2) (pow x 4))))) (/ y (pow x 3)))) (/ 1 (pow x 2)))> |
#<alt (/ 1 (* (pow y 2) (pow z 2)))> |
#<alt (/ (+ (* -1 (/ x (* (pow y 3) z))) (/ 1 (pow y 2))) (pow z 2))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (pow y 4))) (/ (pow x 2) (pow y 4))) (pow z 2))) (/ 1 (pow y 2))) (/ x (* (pow y 3) z))) (pow z 2))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* -1 (/ (pow x 2) (pow y 4))) (/ (pow x 2) (pow y 4)))) y)) (* -1 (/ (pow x 3) (pow y 5)))) (pow z 3))) (/ 1 (pow y 2))) (+ (* -1 (/ (pow x 2) (* (pow y 4) (pow z 2)))) (+ (/ x (* (pow y 3) z)) (/ (pow x 2) (* (pow y 4) (pow z 2)))))) (pow z 2))> |
#<alt (/ 1 (* (pow y 2) (pow z 2)))> |
#<alt (/ (+ (* -1 (/ x (* (pow y 3) z))) (/ 1 (pow y 2))) (pow z 2))> |
#<alt (/ (+ (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* (pow y 4) z))) (/ (pow x 2) (* (pow y 4) z))) (* -1 (/ x (pow y 3)))) z)) (/ 1 (pow y 2))) (pow z 2))> |
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (+ (* -1 (/ (pow x 2) (pow y 4))) (/ (pow x 2) (pow y 4)))) (* y z)) (/ (pow x 3) (* (pow y 5) z))) (+ (* -1 (/ (pow x 2) (pow y 4))) (/ (pow x 2) (pow y 4)))) z)) (* -1 (/ x (pow y 3)))) z)) (/ 1 (pow y 2))) (pow z 2))> |
#<alt (/ 1 (* (pow y 2) (pow z 2)))> |
#<alt (+ (* -1 (/ x (* (pow y 3) (pow z 3)))) (/ 1 (* (pow y 2) (pow z 2))))> |
#<alt (+ (* x (- (/ (pow x 2) (* (pow y 5) (pow z 5))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2))))> |
#<alt (+ (* x (- (* (pow x 2) (+ (* -1 (/ x (* (pow y 6) (pow z 6)))) (/ 1 (* (pow y 5) (pow z 5))))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2))))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ (+ 1 (* -1 (/ (* y z) x))) (pow x 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))) (pow x 2)))) (/ (* y z) x)) (pow x 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* y (* z (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2)))))) (* -1 (* (pow y 3) (pow z 3)))) (pow x 3)))) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (+ (/ (* y z) x) (/ (* (pow y 2) (pow z 2)) (pow x 2))))) (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ (+ 1 (* -1 (/ (* y z) x))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (/ (* (pow y 2) (pow z 2)) x)) (* -1 (* y z))) x))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* y (* z (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))))) x) (/ (* (pow y 3) (pow z 3)) x)) (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2)))) x)) (* -1 (* y z))) x))) (pow x 2))> |
150 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (+ (* (/ -1 (+ (* 1/2 (cos (+ y y))) 1/2)) (* (+ (* 1/2 (cos (* y -2))) 1/2) (* z (sin y)))) (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))) |
| 1.0ms | y | @ | inf | (+ (* (/ -1 (+ (* 1/2 (cos (+ y y))) 1/2)) (* (+ (* 1/2 (cos (* y -2))) 1/2) (* z (sin y)))) (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))) |
| 1.0ms | x | @ | 0 | (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) |
| 1.0ms | x | @ | 0 | (+ (* (/ -1 (+ (* 1/2 (cos (+ y y))) 1/2)) (* (+ (* 1/2 (cos (* y -2))) 1/2) (* z (sin y)))) (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))) |
| 1.0ms | z | @ | 0 | (+ (* (/ -1 (+ (* 1/2 (cos (+ y y))) 1/2)) (* (+ (* 1/2 (cos (* y -2))) 1/2) (* z (sin y)))) (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))) |
| 1× | egg-herbie |
| 8 584× | lower-fma.f64 |
| 8 584× | lower-fma.f32 |
| 6 016× | lower-*.f64 |
| 6 016× | lower-*.f32 |
| 4 994× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1027 | 12626 |
| 1 | 3507 | 11179 |
| 0 | 8568 | 10528 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 (* y z))) |
(+ x (* y (+ (* -1 z) (* y (- (* -1 x) (* -1/2 x)))))) |
(+ x (* y (+ (* -1 z) (* y (- (+ (* -1 x) (* -1 (* y (- (* -7/6 z) (* -1 z))))) (* -1/2 x)))))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))))) |
(* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))))) |
(* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))))) |
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))) |
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))) |
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))) |
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))) |
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y)))))) |
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y)))))) |
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y)))))) |
(/ (* 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 (+ 1/2 (* 1/2 (cos (* 2 y))))))))) |
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))))) |
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))))) |
-1 |
(- (* -1 (pow y 2)) 1) |
(- (* (pow y 2) (- (* -2/3 (pow y 2)) 1)) 1) |
(- (* (pow y 2) (- (* (pow y 2) (- (* -17/45 (pow y 2)) 2/3)) 1)) 1) |
(/ -1 (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(/ -1 (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(/ -1 (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(/ -1 (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(/ -1 (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(/ -1 (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(/ -1 (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(/ -1 (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* y (- (* -1 x) (* -1/2 x))) z))) |
(+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (* -1/2 x))) x)))))) (* -1/2 x))) z))) |
(/ (+ (* -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)))) |
(/ (+ (* -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)))) |
(/ (+ (* -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)))) |
(/ (+ (* -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)))) |
(/ (+ (* -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)))) |
(/ (+ (* -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)))) |
(/ (+ (* -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)))) |
(/ (+ (* -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)))) |
(/ (* 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))) |
(+ (* 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))) |
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(* -1 (* z (sin y))) |
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(* x (cos y)) |
(* x (cos y)) |
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(* x (cos y)) |
(* x (cos y)) |
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(* x (cos y)) |
(* x (cos y)) |
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(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
x |
(+ x (* -1/2 (* x (pow y 2)))) |
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(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
1 |
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(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
1 |
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(* 1/24 (pow y 4)) |
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) |
(* 1/24 (pow y 4)) |
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) |
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(* x (cos y)) |
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(+ (* y (+ (* -1 (* (pow x 2) z)) (+ (* y (+ (* -1 (* x (pow z 2))) (* x (pow z 2)))) (* (pow x 2) z)))) (pow x 3)) |
(+ (* y (+ (* -1 (* (pow x 2) z)) (+ (* y (+ (* -1 (* x (pow z 2))) (+ (* -1 (* y (pow z 3))) (* x (pow z 2))))) (* (pow x 2) z)))) (pow x 3)) |
(* -1 (* (pow y 3) (pow z 3))) |
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(* (pow y 3) (+ (* -1 (/ (* x (pow z 2)) y)) (+ (* -1 (/ (* (pow x 2) z) (pow y 2))) (+ (* -1 (pow z 3)) (+ (/ (* x (pow z 2)) y) (/ (* (pow x 2) z) (pow y 2))))))) |
(* (pow y 3) (+ (* -1 (/ (* x (pow z 2)) y)) (+ (* -1 (/ (* (pow x 2) z) (pow y 2))) (+ (* -1 (pow z 3)) (+ (/ (* x (pow z 2)) y) (+ (/ (* (pow x 2) z) (pow y 2)) (/ (pow x 3) (pow y 3)))))))) |
(* -1 (* (pow y 3) (pow z 3))) |
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(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (+ (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* (pow x 2) z)) y)) (* x (pow z 2)))) y)) (pow z 3)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (+ (* -1 (/ (+ (* -1 (* (pow x 2) z)) (+ (* -1 (/ (pow x 3) y)) (* (pow x 2) z))) y)) (* x (pow z 2)))) y)) (pow z 3)))) |
(pow x 3) |
(+ (* z (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y))) (pow x 3)) |
(+ (* z (+ (* -1 (* (pow x 2) y)) (+ (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2)))) (* (pow x 2) y)))) (pow x 3)) |
(+ (* z (+ (* -1 (* (pow x 2) y)) (+ (* z (+ (* -1 (* x (pow y 2))) (+ (* -1 (* (pow y 3) z)) (* x (pow y 2))))) (* (pow x 2) y)))) (pow x 3)) |
(* -1 (* (pow y 3) (pow z 3))) |
(* (pow z 3) (+ (* -1 (/ (* x (pow y 2)) z)) (+ (* -1 (pow y 3)) (/ (* x (pow y 2)) z)))) |
(* (pow z 3) (+ (* -1 (/ (* x (pow y 2)) z)) (+ (* -1 (/ (* (pow x 2) y) (pow z 2))) (+ (* -1 (pow y 3)) (+ (/ (* x (pow y 2)) z) (/ (* (pow x 2) y) (pow z 2))))))) |
(* (pow z 3) (+ (* -1 (/ (* x (pow y 2)) z)) (+ (* -1 (/ (* (pow x 2) y) (pow z 2))) (+ (* -1 (pow y 3)) (+ (/ (* x (pow y 2)) z) (+ (/ (* (pow x 2) y) (pow z 2)) (/ (pow x 3) (pow z 3)))))))) |
(* -1 (* (pow y 3) (pow z 3))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (* x (pow y 2))) z)) (pow y 3)))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (+ (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y)) z)) (* x (pow y 2)))) z)) (pow y 3)))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (+ (* -1 (/ (+ (* -1 (* (pow x 2) y)) (+ (* -1 (/ (pow x 3) z)) (* (pow x 2) y))) z)) (* x (pow y 2)))) z)) (pow y 3)))) |
(* -1 (* (pow y 3) (pow z 3))) |
(+ (* -1 (* (pow y 3) (pow z 3))) (* x (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))))) |
(+ (* -1 (* (pow y 3) (pow z 3))) (* x (+ (* -1 (* (pow y 2) (pow z 2))) (+ (* x (+ (* -1 (* y z)) (* y z))) (* (pow y 2) (pow z 2)))))) |
(+ (* -1 (* (pow y 3) (pow z 3))) (* x (+ (* -1 (* (pow y 2) (pow z 2))) (+ (* x (+ x (+ (* -1 (* y z)) (* y z)))) (* (pow y 2) (pow z 2)))))) |
(pow x 3) |
(* (pow x 3) (+ 1 (+ (* -1 (/ (* y z) x)) (/ (* y z) x)))) |
(* (pow x 3) (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (+ (/ (* y z) x) (/ (* (pow y 2) (pow z 2)) (pow x 2))))))) |
(* (pow x 3) (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (+ (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) (+ (/ (* y z) x) (/ (* (pow y 2) (pow z 2)) (pow x 2)))))))) |
(pow x 3) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (* y z) x)) (/ (* y z) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (+ (* -1 (* y z)) (* y z))) (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (/ (* (pow y 2) (pow z 2)) x))) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (+ (* -1 (* y z)) (* y z))) (* -1 (/ (+ (* -1 (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2)))) (/ (* (pow y 3) (pow z 3)) x)) x))) x)) 1))) |
(pow x 2) |
(+ (* x (* y z)) (pow x 2)) |
(+ (* y (+ (* x z) (* y (pow z 2)))) (pow x 2)) |
(+ (* y (+ (* x z) (* y (pow z 2)))) (pow x 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (+ (/ (* x z) y) (pow z 2))) |
(* (pow y 2) (+ (/ (* x z) y) (+ (/ (pow x 2) (pow y 2)) (pow z 2)))) |
(* (pow y 2) (+ (/ (* x z) y) (+ (/ (pow x 2) (pow y 2)) (pow z 2)))) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (+ (/ (* x z) y) (pow z 2))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (pow x 2) y))) y)) (pow z 2))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (pow x 2) y))) y)) (pow z 2))) |
(pow x 2) |
(+ (* x (* y z)) (pow x 2)) |
(+ (* z (+ (* x y) (* (pow y 2) z))) (pow x 2)) |
(+ (* z (+ (* x y) (* (pow y 2) z))) (pow x 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow z 2) (+ (/ (* x y) z) (pow y 2))) |
(* (pow z 2) (+ (/ (* x y) z) (+ (/ (pow x 2) (pow z 2)) (pow y 2)))) |
(* (pow z 2) (+ (/ (* x y) z) (+ (/ (pow x 2) (pow z 2)) (pow y 2)))) |
(* (pow y 2) (pow z 2)) |
(* (pow z 2) (+ (/ (* x y) z) (pow y 2))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (pow x 2) z))) z)) (pow y 2))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (pow x 2) z))) z)) (pow y 2))) |
(* (pow y 2) (pow z 2)) |
(+ (* x (* y z)) (* (pow y 2) (pow z 2))) |
(+ (* x (+ x (* y z))) (* (pow y 2) (pow z 2))) |
(+ (* x (+ x (* y z))) (* (pow y 2) (pow z 2))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (* y z) x))) |
(* (pow x 2) (+ 1 (+ (/ (* y z) x) (/ (* (pow y 2) (pow z 2)) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (/ (* y z) x) (/ (* (pow y 2) (pow z 2)) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (* y z) x))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y z)) (* -1 (/ (* (pow y 2) (pow z 2)) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (* y z)) (* -1 (/ (* (pow y 2) (pow z 2)) x))) x)))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* y (- (* -1 x) (* -1/2 x))) z))) |
(+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (* -1/2 x))) x)))))) (* -1/2 x))) z))) |
(/ (+ (* -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)))) |
(/ (+ (* -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)))) |
(/ (+ (* -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)))) |
(/ (+ (* -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)))) |
(/ (+ (* -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)))) |
(/ (+ (* -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)))) |
(/ (+ (* -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)))) |
(/ (+ (* -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)))) |
(/ (* 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))) |
(+ (* 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))) |
(+ (* 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))) |
(* -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) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))))) |
(* 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)))))) |
(* 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))))) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
x |
(+ x (* (pow y 2) (- (* -1 x) (* -1/2 x)))) |
(+ x (* (pow y 2) (- (+ (* -1 x) (* (pow y 2) (- (* 1/3 x) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x)))) |
(+ x (* (pow y 2) (- (+ (* -1 x) (* (pow y 2) (- (+ (* 1/3 x) (* (pow y 2) (- (* -2/45 x) (+ (* -1/2 (- (* 1/3 x) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x)))) (+ (* -1/720 x) (* 1/24 (- (* -1 x) (* -1/2 x)))))))) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x)))) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(* x (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* x (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* x (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* x (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* x (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* x (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* x (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* x (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* x (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* x (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* x (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* x (+ 1/2 (* 1/2 (cos (* -2 y))))) |
x |
(+ x (* -1 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1 x) (* 1/3 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -2/45 (* x (pow y 2))) (* 1/3 x)))))) |
(* x (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* x (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* x (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* x (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* x (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* x (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* x (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* x (+ 1/2 (* 1/2 (cos (* -2 y))))) |
1 |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(* y z) |
(* y (+ z (* -7/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -7/6 z) (* 61/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -7/6 z) (* (pow y 2) (+ (* -547/5040 (* (pow y 2) z)) (* 61/120 z))))))) |
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) |
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) |
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) |
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) |
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) |
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) |
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) |
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) |
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) |
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) |
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) |
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) |
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) |
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) |
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) |
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) |
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) |
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) |
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) |
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 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 (pow x 2)) |
(+ (* -1 (/ (* y z) (pow x 3))) (/ 1 (pow x 2))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ (pow z 2) (pow x 4))) (/ (pow z 2) (pow x 4))))) (/ z (pow x 3)))) (/ 1 (pow x 2))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* z (+ (* -1 (/ (pow z 2) (pow x 4))) (/ (pow z 2) (pow x 4)))) x)) (* -1 (/ (pow z 3) (pow x 5)))))) (+ (* -1 (/ (pow z 2) (pow x 4))) (/ (pow z 2) (pow x 4))))) (/ z (pow x 3)))) (/ 1 (pow x 2))) |
(/ 1 (* (pow y 2) (pow z 2))) |
(/ (+ (* -1 (/ x (* y (pow z 3)))) (/ 1 (pow z 2))) (pow y 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4))) (pow y 2))) (/ 1 (pow z 2))) (/ x (* y (pow z 3)))) (pow y 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4)))) z)) (* -1 (/ (pow x 3) (pow z 5)))) (pow y 3))) (/ 1 (pow z 2))) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 4)))) (+ (/ x (* y (pow z 3))) (/ (pow x 2) (* (pow y 2) (pow z 4)))))) (pow y 2)) |
(/ 1 (* (pow y 2) (pow z 2))) |
(/ (+ (* -1 (/ x (* y (pow z 3)))) (/ 1 (pow z 2))) (pow y 2)) |
(/ (+ (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* y (pow z 4)))) (/ (pow x 2) (* y (pow z 4)))) (* -1 (/ x (pow z 3)))) y)) (/ 1 (pow z 2))) (pow y 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4)))) (* y z)) (/ (pow x 3) (* y (pow z 5)))) (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4)))) y)) (* -1 (/ x (pow z 3)))) y)) (/ 1 (pow z 2))) (pow y 2)) |
(/ 1 (pow x 2)) |
(+ (* -1 (/ (* y z) (pow x 3))) (/ 1 (pow x 2))) |
(+ (* z (- (* -1 (* z (+ (* -1 (/ (pow y 2) (pow x 4))) (/ (pow y 2) (pow x 4))))) (/ y (pow x 3)))) (/ 1 (pow x 2))) |
(+ (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (* y (+ (* -1 (/ (pow y 2) (pow x 4))) (/ (pow y 2) (pow x 4)))) x)) (* -1 (/ (pow y 3) (pow x 5)))))) (+ (* -1 (/ (pow y 2) (pow x 4))) (/ (pow y 2) (pow x 4))))) (/ y (pow x 3)))) (/ 1 (pow x 2))) |
(/ 1 (* (pow y 2) (pow z 2))) |
(/ (+ (* -1 (/ x (* (pow y 3) z))) (/ 1 (pow y 2))) (pow z 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (pow y 4))) (/ (pow x 2) (pow y 4))) (pow z 2))) (/ 1 (pow y 2))) (/ x (* (pow y 3) z))) (pow z 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* -1 (/ (pow x 2) (pow y 4))) (/ (pow x 2) (pow y 4)))) y)) (* -1 (/ (pow x 3) (pow y 5)))) (pow z 3))) (/ 1 (pow y 2))) (+ (* -1 (/ (pow x 2) (* (pow y 4) (pow z 2)))) (+ (/ x (* (pow y 3) z)) (/ (pow x 2) (* (pow y 4) (pow z 2)))))) (pow z 2)) |
(/ 1 (* (pow y 2) (pow z 2))) |
(/ (+ (* -1 (/ x (* (pow y 3) z))) (/ 1 (pow y 2))) (pow z 2)) |
(/ (+ (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* (pow y 4) z))) (/ (pow x 2) (* (pow y 4) z))) (* -1 (/ x (pow y 3)))) z)) (/ 1 (pow y 2))) (pow z 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (+ (* -1 (/ (pow x 2) (pow y 4))) (/ (pow x 2) (pow y 4)))) (* y z)) (/ (pow x 3) (* (pow y 5) z))) (+ (* -1 (/ (pow x 2) (pow y 4))) (/ (pow x 2) (pow y 4)))) z)) (* -1 (/ x (pow y 3)))) z)) (/ 1 (pow y 2))) (pow z 2)) |
(/ 1 (* (pow y 2) (pow z 2))) |
(+ (* -1 (/ x (* (pow y 3) (pow z 3)))) (/ 1 (* (pow y 2) (pow z 2)))) |
(+ (* x (- (/ (pow x 2) (* (pow y 5) (pow z 5))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2)))) |
(+ (* x (- (* (pow x 2) (+ (* -1 (/ x (* (pow y 6) (pow z 6)))) (/ 1 (* (pow y 5) (pow z 5))))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2)))) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1 (/ (* y z) x))) (pow x 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))) (pow x 2)))) (/ (* y z) x)) (pow x 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* y (* z (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2)))))) (* -1 (* (pow y 3) (pow z 3)))) (pow x 3)))) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (+ (/ (* y z) x) (/ (* (pow y 2) (pow z 2)) (pow x 2))))) (pow x 2)) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1 (/ (* y z) x))) (pow x 2)) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (/ (* (pow y 2) (pow z 2)) x)) (* -1 (* y z))) x))) (pow x 2)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* y (* z (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))))) x) (/ (* (pow y 3) (pow z 3)) x)) (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2)))) x)) (* -1 (* y z))) x))) (pow x 2)) |
| Outputs |
|---|
x |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 y z)) |
(+ x (* y (+ (* -1 z) (* y (- (* -1 x) (* -1/2 x)))))) |
(fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x) |
(+ x (* y (+ (* -1 z) (* y (- (+ (* -1 x) (* -1 (* y (- (* -7/6 z) (* -1 z))))) (* -1/2 x)))))) |
(fma.f64 y (-.f64 (*.f64 y (+.f64 (neg.f64 x) (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/2 binary64))))) z) x) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))) |
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))))) |
(*.f64 z (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (cos.f64 y))) (neg.f64 (sin.f64 y)))) |
(* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))))) |
(*.f64 z (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (cos.f64 y))) (neg.f64 (sin.f64 y)))) |
(* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))))) |
(*.f64 z (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (cos.f64 y))) (neg.f64 (sin.f64 y)))) |
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))) |
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (cos.f64 y))) (sin.f64 y))) |
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))) |
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (cos.f64 y))) (sin.f64 y))) |
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))) |
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (cos.f64 y))) (sin.f64 y))) |
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (neg.f64 (*.f64 z (sin.f64 y)))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (neg.f64 (*.f64 z (sin.f64 y)))) |
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (neg.f64 (*.f64 z (sin.f64 y)))) |
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
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(* y z) |
(*.f64 y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #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 (*.f64 y y) (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #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)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/24 (pow y 2)) 1/2) |
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
(- (* 1/24 (pow y 2)) 1/2) |
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
(- (* 1/24 (pow y 2)) 1/2) |
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
(* 1/24 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/24 binary64)) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))) |
(* 1/24 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/24 binary64)) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+ (* -1 (/ (* y z) (pow x 3))) (/ 1 (pow x 2))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 y z) (*.f64 x (*.f64 x x)))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ (pow z 2) (pow x 4))) (/ (pow z 2) (pow x 4))))) (/ z (pow x 3)))) (/ 1 (pow x 2))) |
(fma.f64 y (-.f64 (*.f64 y #s(literal 0 binary64)) (/.f64 z (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* z (+ (* -1 (/ (pow z 2) (pow x 4))) (/ (pow z 2) (pow x 4)))) x)) (* -1 (/ (pow z 3) (pow x 5)))))) (+ (* -1 (/ (pow z 2) (pow x 4))) (/ (pow z 2) (pow x 4))))) (/ z (pow x 3)))) (/ 1 (pow x 2))) |
(fma.f64 y (fma.f64 y (fma.f64 (neg.f64 y) (-.f64 (/.f64 (*.f64 z #s(literal 0 binary64)) x) (/.f64 (*.f64 z (*.f64 z z)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 0 binary64)) (/.f64 z (neg.f64 (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/ 1 (* (pow y 2) (pow z 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) (*.f64 y z))) |
(/ (+ (* -1 (/ x (* y (pow z 3)))) (/ 1 (pow z 2))) (pow y 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (*.f64 y (*.f64 z (*.f64 z z))))) (*.f64 y y)) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4))) (pow y 2))) (/ 1 (pow z 2))) (/ x (* y (pow z 3)))) (pow y 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 0 binary64) (*.f64 y y))) (/.f64 x (*.f64 y (*.f64 z (*.f64 z z))))) (*.f64 y y)) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4)))) z)) (* -1 (/ (pow x 3) (pow z 5)))) (pow y 3))) (/ 1 (pow z 2))) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 4)))) (+ (/ x (* y (pow z 3))) (/ (pow x 2) (* (pow y 2) (pow z 4)))))) (pow y 2)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (-.f64 (*.f64 x (/.f64 #s(literal 0 binary64) z)) (/.f64 (*.f64 x (*.f64 x x)) (pow.f64 z #s(literal 5 binary64)))) (*.f64 y (*.f64 y y)))) (-.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 z (*.f64 z z)))) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (pow.f64 z #s(literal 4 binary64))))) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (pow.f64 z #s(literal 4 binary64)))))) (*.f64 y y)) |
(/ 1 (* (pow y 2) (pow z 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) (*.f64 y z))) |
(/ (+ (* -1 (/ x (* y (pow z 3)))) (/ 1 (pow z 2))) (pow y 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x (*.f64 y (*.f64 z (*.f64 z z))))) (*.f64 y y)) |
(/ (+ (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* y (pow z 4)))) (/ (pow x 2) (* y (pow z 4)))) (* -1 (/ x (pow z 3)))) y)) (/ 1 (pow z 2))) (pow y 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (/.f64 x (*.f64 z (*.f64 z z))) y)) (*.f64 y y)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4)))) (* y z)) (/ (pow x 3) (* y (pow z 5)))) (+ (* -1 (/ (pow x 2) (pow z 4))) (/ (pow x 2) (pow z 4)))) y)) (* -1 (/ x (pow z 3)))) y)) (/ 1 (pow z 2))) (pow y 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (+.f64 (/.f64 (+.f64 (fma.f64 x (/.f64 #s(literal 0 binary64) (*.f64 y z)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (pow.f64 z #s(literal 5 binary64))))) #s(literal 0 binary64)) (neg.f64 y)) (/.f64 x (*.f64 z (*.f64 z z)))) y)) (*.f64 y y)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+ (* -1 (/ (* y z) (pow x 3))) (/ 1 (pow x 2))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 y z) (*.f64 x (*.f64 x x)))) |
(+ (* z (- (* -1 (* z (+ (* -1 (/ (pow y 2) (pow x 4))) (/ (pow y 2) (pow x 4))))) (/ y (pow x 3)))) (/ 1 (pow x 2))) |
(fma.f64 z (fma.f64 z #s(literal 0 binary64) (/.f64 y (neg.f64 (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+ (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (* y (+ (* -1 (/ (pow y 2) (pow x 4))) (/ (pow y 2) (pow x 4)))) x)) (* -1 (/ (pow y 3) (pow x 5)))))) (+ (* -1 (/ (pow y 2) (pow x 4))) (/ (pow y 2) (pow x 4))))) (/ y (pow x 3)))) (/ 1 (pow x 2))) |
(fma.f64 z (fma.f64 z (fma.f64 (neg.f64 z) (-.f64 (/.f64 (*.f64 y #s(literal 0 binary64)) x) (/.f64 (*.f64 y (*.f64 y y)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 0 binary64)) (/.f64 y (neg.f64 (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/ 1 (* (pow y 2) (pow z 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) (*.f64 y z))) |
(/ (+ (* -1 (/ x (* (pow y 3) z))) (/ 1 (pow y 2))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 z (*.f64 y (*.f64 y y))))) (*.f64 z z)) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (pow y 4))) (/ (pow x 2) (pow y 4))) (pow z 2))) (/ 1 (pow y 2))) (/ x (* (pow y 3) z))) (pow z 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 0 binary64) (*.f64 z z))) (/.f64 x (*.f64 z (*.f64 y (*.f64 y y))))) (*.f64 z z)) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* -1 (/ (pow x 2) (pow y 4))) (/ (pow x 2) (pow y 4)))) y)) (* -1 (/ (pow x 3) (pow y 5)))) (pow z 3))) (/ 1 (pow y 2))) (+ (* -1 (/ (pow x 2) (* (pow y 4) (pow z 2)))) (+ (/ x (* (pow y 3) z)) (/ (pow x 2) (* (pow y 4) (pow z 2)))))) (pow z 2)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (-.f64 (/.f64 (*.f64 x #s(literal 0 binary64)) y) (/.f64 (*.f64 x (*.f64 x x)) (pow.f64 y #s(literal 5 binary64)))) (*.f64 z (*.f64 z z)))) (-.f64 (+.f64 (/.f64 x (*.f64 z (*.f64 y (*.f64 y y)))) (/.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 z z)) |
(/ 1 (* (pow y 2) (pow z 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) (*.f64 y z))) |
(/ (+ (* -1 (/ x (* (pow y 3) z))) (/ 1 (pow y 2))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 z (*.f64 y (*.f64 y y))))) (*.f64 z z)) |
(/ (+ (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* (pow y 4) z))) (/ (pow x 2) (* (pow y 4) z))) (* -1 (/ x (pow y 3)))) z)) (/ 1 (pow y 2))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 z (*.f64 y (*.f64 y y))))) (*.f64 z z)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (+ (* -1 (/ (pow x 2) (pow y 4))) (/ (pow x 2) (pow y 4)))) (* y z)) (/ (pow x 3) (* (pow y 5) z))) (+ (* -1 (/ (pow x 2) (pow y 4))) (/ (pow x 2) (pow y 4)))) z)) (* -1 (/ x (pow y 3)))) z)) (/ 1 (pow y 2))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (+.f64 (/.f64 (+.f64 (fma.f64 x (/.f64 #s(literal 0 binary64) (*.f64 y z)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (pow.f64 y #s(literal 5 binary64))))) #s(literal 0 binary64)) (neg.f64 z)) (/.f64 x (*.f64 y (*.f64 y y)))) z)) (*.f64 z z)) |
(/ 1 (* (pow y 2) (pow z 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) (*.f64 y z))) |
(+ (* -1 (/ x (* (pow y 3) (pow z 3)))) (/ 1 (* (pow y 2) (pow z 2)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) (*.f64 y z))) (/.f64 x (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))))) |
(+ (* x (- (/ (pow x 2) (* (pow y 5) (pow z 5))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2)))) |
(fma.f64 x (+.f64 (/.f64 (*.f64 x x) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) (*.f64 y z)))) |
(+ (* x (- (* (pow x 2) (+ (* -1 (/ x (* (pow y 6) (pow z 6)))) (/ 1 (* (pow y 5) (pow z 5))))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2)))) |
(fma.f64 x (fma.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64)))) (/.f64 x (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) (*.f64 y z)))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (* -1 (/ (* y z) x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)) (*.f64 x x)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))) (pow x 2)))) (/ (* y z) x)) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (*.f64 y z) x))) (*.f64 x x)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* y (* z (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2)))))) (* -1 (* (pow y 3) (pow z 3)))) (pow x 3)))) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (+ (/ (* y z) x) (/ (* (pow y 2) (pow z 2)) (pow x 2))))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (*.f64 z #s(literal 0 binary64))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x x)))) (-.f64 (fma.f64 y (/.f64 z x) (/.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x))) (/.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 x x)))) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (* -1 (/ (* y z) x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (/ (* (pow y 2) (pow z 2)) x)) (* -1 (* y z))) x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* y (* z (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))))) x) (/ (* (pow y 3) (pow z 3)) x)) (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2)))) x)) (* -1 (* y z))) x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 y (/.f64 (*.f64 z #s(literal 0 binary64)) x) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 z (*.f64 z z)) x) #s(literal 0 binary64))) x)) (*.f64 y z)) x)) (*.f64 x x)) |
| 5 722× | lower-*.f32 |
| 5 700× | lower-*.f64 |
| 4 968× | lower-fma.f32 |
| 4 954× | lower-fma.f64 |
| 2 618× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 504 |
| 0 | 112 | 497 |
| 1 | 405 | 407 |
| 2 | 3199 | 404 |
| 0 | 8203 | 401 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 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 #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 (/.f64 #s(literal -1 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 #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (neg.f64 y)))) |
(*.f64 z #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (neg.f64 y))) |
#s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (neg.f64 y)) |
(neg.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (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 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))) |
(*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) |
#s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (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))) |
(*.f64 z (sin.f64 y)) |
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))) |
| Outputs |
|---|
(+.f64 (*.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))) (/.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))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
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(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 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 #s(literal -2 binary64)))))) (*.f64 #s(literal -1/4 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))) |
(pow.f64 (/.f64 (-.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 #s(literal -2 binary64)))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 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 #s(literal -2 binary64)))))) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.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 #s(literal -2 binary64)))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64))))) |
(*.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 #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) |
(+.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) (*.f64 z (sin.f64 y)))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) (*.f64 z (sin.f64 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (sin.f64 y)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 z (sin.f64 y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) (*.f64 z (sin.f64 y)))) |
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal 1/2 binary64) (*.f64 (*.f64 z (sin.f64 y)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) |
(fma.f64 (*.f64 z (sin.f64 y)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) (*.f64 z (sin.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 z (sin.f64 y)))) |
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.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 #s(literal -2 binary64)))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (*.f64 z (sin.f64 y)) (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 #s(literal -2 binary64)))))) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 z (sin.f64 y))) (-.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 #s(literal -2 binary64)))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64)))) |
(/.f64 (*.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 #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (*.f64 z (sin.f64 y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) |
(*.f64 z (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 (sin.f64 y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z)) |
(*.f64 (*.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z) (sin.f64 y)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) z) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) |
(+.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 y (*.f64 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)) |
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 y #s(literal 1/24 binary64)) y #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 y y) #s(literal -1/48 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 y y) #s(literal -1/48 binary64)))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64)) (*.f64 (*.f64 y y) #s(literal -1/48 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 y y) #s(literal -1/48 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 y y) #s(literal -1/48 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 y y) #s(literal -1/48 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x))))) |
(pow.f64 (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x))) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x))))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x))) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 z (fma.f64 y z x))) (*.f64 (*.f64 y y) (*.f64 (*.f64 z (fma.f64 y z x)) (*.f64 z (fma.f64 y z x)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (fma.f64 y z x)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 z (fma.f64 y z x)) (*.f64 z (fma.f64 y z x)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 z (fma.f64 y z x))) (*.f64 (*.f64 y y) (*.f64 (*.f64 z (fma.f64 y z x)) (*.f64 z (fma.f64 y z x)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 y (*.f64 z (fma.f64 y z x)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 z (fma.f64 y z x)) (*.f64 z (fma.f64 y z x)))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)) (-.f64 (*.f64 y (*.f64 z (fma.f64 y z x))) (*.f64 x x)))) (-.f64 (*.f64 y (*.f64 z (fma.f64 y z x))) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)) (-.f64 (*.f64 y (*.f64 z (fma.f64 y z x))) (*.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (*.f64 z (fma.f64 y z x))) (*.f64 x x))) #s(literal -1 binary64))) |
Compiled 39 353 to 2 154 computations (94.5% saved)
53 alts after pruning (46 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 151 | 14 | 1 165 |
| Fresh | 9 | 32 | 41 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 162 | 53 | 1 215 |
| Status | Accuracy | Program |
|---|---|---|
| 53.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)))) | |
| 54.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))))) | |
| 62.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))) | |
| 34.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) | |
| 40.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))) | |
| 38.4% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) | |
| ✓ | 99.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 60.1% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 (/.f64 #s(literal -1 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 #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) #s(approx (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x)))) | |
| 99.3% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (-.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (cos.f64 y))) (cos.f64 y))) | |
| 23.7% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 (neg.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) z) (sin.f64 y))) | |
| 14.7% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)))) | |
| ✓ | 62.6% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
| 42.3% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 x #s(approx (+ (* 1/2 (cos (* y -2))) 1/2) #s(literal 1 binary64))) (cos.f64 y))) | |
| 23.7% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 z (/.f64 (neg.f64 (sin.f64 y)) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) | |
| 23.2% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))) | |
| 62.6% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* 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)))) | |
| 23.7% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))) z)) | |
| 23.5% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z (/.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 #s(literal -2 binary64)))))))) (*.f64 (neg.f64 (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) | |
| 18.0% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (*.f64 y (fma.f64 (*.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)) #s(literal -1 binary64)))))) | |
| 17.9% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) | |
| ✓ | 18.2% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (neg.f64 y)))) |
| 37.7% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (*.f64 y y) (+.f64 (neg.f64 x) (fma.f64 (*.f64 y y) (+.f64 (fma.f64 x #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal -1/24 binary64) x)) (*.f64 x #s(literal 1/2 binary64)))) x))) | |
| 37.8% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y y)) x))) | |
| 99.5% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (+ (* (/ -1 (+ (* 1/2 (cos (+ y y))) 1/2)) (* (+ (* 1/2 (cos (* y -2))) 1/2) (* z (sin y)))) (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))))) | |
| 85.3% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (+ (* (/ -1 (+ (* 1/2 (cos (+ y y))) 1/2)) (* (+ (* 1/2 (cos (* y -2))) 1/2) (* z (sin y)))) (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))) (*.f64 (neg.f64 x) (fma.f64 (sin.f64 y) (/.f64 z x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y)))))) | |
| 38.5% | #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (+ (* (/ -1 (+ (* 1/2 (cos (+ y y))) 1/2)) (* (+ (* 1/2 (cos (* y -2))) 1/2) (* z (sin y)))) (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))) (neg.f64 (*.f64 z (sin.f64 y))))) | |
| 53.0% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal 1/6 binary64)) (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z))) x)) | |
| 53.7% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y #s(approx (+ (* (* z y) 1/6) (* x -1/2)) (*.f64 (*.f64 z y) #s(literal 1/6 binary64))) (neg.f64 z)) x)) | |
| 36.3% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (/.f64 (-.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) (*.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) (*.f64 y y))) (*.f64 z z)) (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) z)) x)) | |
| 37.8% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y #s(approx (+ (* y (+ (* (* z y) 1/6) (* x -1/2))) (neg z)) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x)) | |
| 38.2% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y #s(approx (+ (* y (+ (* (* z y) 1/6) (* x -1/2))) (neg z)) (*.f64 #s(literal 1/6 binary64) (*.f64 z (*.f64 y y)))) x)) | |
| 91.2% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 z))) | |
| 91.4% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 z (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)))) | |
| 18.0% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* (* z y) 1/6) (* x -1/2))) (neg z))) x) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))) | |
| 3.1% | #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* (* z y) 1/6) (* x -1/2))) (neg z))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 z (*.f64 y (*.f64 y y)))))) | |
| 53.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))) | |
| ✓ | 54.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
| 22.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 x (*.f64 y z)) (/.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x))))) | |
| 20.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 x (*.f64 y z)) (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)))))) | |
| 13.2% | #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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (fma.f64 x (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y))))))) | |
| 36.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))) | |
| 12.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (fma.f64 x (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y)))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))) | |
| 15.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x (fma.f64 z y x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))) | |
| 3.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) #s(approx (/ 1 (+ (* (* y z) (+ (* y z) x)) (* x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) (*.f64 y z)))))) | |
| 20.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) #s(approx (/ 1 (+ (* (* y z) (+ (* y z) x)) (* x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) | |
| ✓ | 62.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
| 37.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| ✓ | 37.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
| 37.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (+.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) | |
| ✓ | 40.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
| 43.8% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) | |
| 42.5% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z)))) | |
| 37.7% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 x #s(literal -1/2 binary64))) x))) |
Compiled 3 017 to 903 computations (70.1% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (neg.f64 y)))) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (neg.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 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* (* z y) 1/6) (* x -1/2))) (neg z))) x) (fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y #s(approx (+ (* y (+ (* (* z y) 1/6) (* x -1/2))) (neg z)) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x)) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y 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))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* (* z y) 1/6) (* x -1/2))) (neg z))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 z (*.f64 y (*.f64 y y)))))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* (* z y) 1/6) (* x -1/2))) (neg z))) x) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y #s(approx (+ (* y (+ (* (* z y) 1/6) (* x -1/2))) (neg z)) (*.f64 #s(literal 1/6 binary64) (*.f64 z (*.f64 y y)))) 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 (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y #s(approx (+ (* (* z y) 1/6) (* x -1/2)) (*.f64 (*.f64 z y) #s(literal 1/6 binary64))) (neg.f64 z)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (+.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (- (* x (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))))) (fma.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 x #s(literal -1/2 binary64))) x))) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal 1/6 binary64)) (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) #s(approx (/ 1 (+ (* (* y z) (+ (* y z) x)) (* x x))) (/.f64 #s(literal 1 binary64) (*.f64 x 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 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)))) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (*.f64 y (fma.f64 (*.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)) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) #s(approx (/ 1 (+ (* (* y z) (+ (* y z) x)) (* x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 x (*.f64 y z)) (/.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x))))) |
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(-.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))))))) |
| Outputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
4 calls:
| 66.0ms | y |
| 31.0ms | z |
| 30.0ms | x |
| 23.0ms | (-.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 (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (neg.f64 y)))) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (neg.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 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* (* z y) 1/6) (* x -1/2))) (neg z))) x) (fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y #s(approx (+ (* y (+ (* (* z y) 1/6) (* x -1/2))) (neg z)) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x)) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y 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))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* (* z y) 1/6) (* x -1/2))) (neg z))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 z (*.f64 y (*.f64 y y)))))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* (* z y) 1/6) (* x -1/2))) (neg z))) x) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y #s(approx (+ (* y (+ (* (* z y) 1/6) (* x -1/2))) (neg z)) (*.f64 #s(literal 1/6 binary64) (*.f64 z (*.f64 y y)))) 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 (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y #s(approx (+ (* (* z y) 1/6) (* x -1/2)) (*.f64 (*.f64 z y) #s(literal 1/6 binary64))) (neg.f64 z)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (+.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (- (* x (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))))) (fma.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 x #s(literal -1/2 binary64))) x))) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal 1/6 binary64)) (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) #s(approx (/ 1 (+ (* (* y z) (+ (* y z) x)) (* x x))) (/.f64 #s(literal 1 binary64) (*.f64 x 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 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)))) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (*.f64 y (fma.f64 (*.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)) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) #s(approx (/ 1 (+ (* (* y z) (+ (* y z) x)) (* x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 x (*.f64 y z)) (/.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x))))) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 x (*.f64 y z)) (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)))))) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (*.f64 y y) (+.f64 (neg.f64 x) (fma.f64 (*.f64 y y) (+.f64 (fma.f64 x #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal -1/24 binary64) x)) (*.f64 x #s(literal 1/2 binary64)))) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x (fma.f64 z y x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))) |
#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 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))) |
#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))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (fma.f64 x (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y)))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))) |
#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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (fma.f64 x (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y))))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 z z) (*.f64 x (*.f64 x x)))) (/.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (/.f64 (-.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) (*.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) (*.f64 y y))) (*.f64 z z)) (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) z)) x)) |
#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)))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (neg.f64 (*.f64 z (sin.f64 y)))) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (+ (* (/ -1 (+ (* 1/2 (cos (+ y y))) 1/2)) (* (+ (* 1/2 (cos (* y -2))) 1/2) (* z (sin y)))) (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))) (neg.f64 (*.f64 z (sin.f64 y))))) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 x #s(approx (+ (* 1/2 (cos (* y -2))) 1/2) #s(literal 1 binary64))) (cos.f64 y))) |
(/.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))))) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
#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))) (neg.f64 (*.f64 z (sin.f64 y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
4 calls:
| 46.0ms | x |
| 17.0ms | z |
| 17.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 17.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.2% | 3 | x |
| 80.3% | 4 | y |
| 76.4% | 3 | z |
| 69.8% | 5 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (neg.f64 y)))) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (neg.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 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* (* z y) 1/6) (* x -1/2))) (neg z))) x) (fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y #s(approx (+ (* y (+ (* (* z y) 1/6) (* x -1/2))) (neg z)) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x)) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y 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))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* (* z y) 1/6) (* x -1/2))) (neg z))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 z (*.f64 y (*.f64 y y)))))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* (* z y) 1/6) (* x -1/2))) (neg z))) x) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y #s(approx (+ (* y (+ (* (* z y) 1/6) (* x -1/2))) (neg z)) (*.f64 #s(literal 1/6 binary64) (*.f64 z (*.f64 y y)))) 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 (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y #s(approx (+ (* (* z y) 1/6) (* x -1/2)) (*.f64 (*.f64 z y) #s(literal 1/6 binary64))) (neg.f64 z)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (+.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (- (* x (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))))) (fma.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 x #s(literal -1/2 binary64))) x))) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal 1/6 binary64)) (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) #s(approx (/ 1 (+ (* (* y z) (+ (* y z) x)) (* x x))) (/.f64 #s(literal 1 binary64) (*.f64 x 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 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)))) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (*.f64 y (fma.f64 (*.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)) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) #s(approx (/ 1 (+ (* (* y z) (+ (* y z) x)) (* x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 x (*.f64 y z)) (/.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x))))) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 x (*.f64 y z)) (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)))))) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (*.f64 y y) (+.f64 (neg.f64 x) (fma.f64 (*.f64 y y) (+.f64 (fma.f64 x #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal -1/24 binary64) x)) (*.f64 x #s(literal 1/2 binary64)))) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x (fma.f64 z y x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))) |
#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 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))) |
#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))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (fma.f64 x (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y)))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))) |
#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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (fma.f64 x (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y))))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 z z) (*.f64 x (*.f64 x x)))) (/.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (/.f64 (-.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) (*.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) (*.f64 y y))) (*.f64 z z)) (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) z)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
#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 (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
1 calls:
| 12.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.2% | 3 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (neg.f64 y)))) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (neg.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 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* (* z y) 1/6) (* x -1/2))) (neg z))) x) (fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y #s(approx (+ (* y (+ (* (* z y) 1/6) (* x -1/2))) (neg z)) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x)) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 y 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))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* (* z y) 1/6) (* x -1/2))) (neg z))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 z (*.f64 y (*.f64 y y)))))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) #s(approx (+ (* y (+ (* y (+ (* (* z y) 1/6) (* x -1/2))) (neg z))) x) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y #s(approx (+ (* y (+ (* (* z y) 1/6) (* x -1/2))) (neg z)) (*.f64 #s(literal 1/6 binary64) (*.f64 z (*.f64 y y)))) 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 (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y #s(approx (+ (* (* z y) 1/6) (* x -1/2)) (*.f64 (*.f64 z y) #s(literal 1/6 binary64))) (neg.f64 z)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (+.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (- (* x (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))))) (fma.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 x #s(literal -1/2 binary64))) x))) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal 1/6 binary64)) (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) #s(approx (/ 1 (+ (* (* y z) (+ (* y z) x)) (* x x))) (/.f64 #s(literal 1 binary64) (*.f64 x 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 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)))) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (*.f64 y (fma.f64 (*.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)) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) #s(approx (/ 1 (+ (* (* y z) (+ (* y z) x)) (* x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 x (*.f64 y z)) (/.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x))))) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 x (*.f64 y z)) (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)))))) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (*.f64 y y) (+.f64 (neg.f64 x) (fma.f64 (*.f64 y y) (+.f64 (fma.f64 x #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal -1/24 binary64) x)) (*.f64 x #s(literal 1/2 binary64)))) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x (fma.f64 z y x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))) |
#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 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)))) |
#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))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (fma.f64 x (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y)))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))))) |
#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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (fma.f64 x (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y))))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 z z) (*.f64 x (*.f64 x x)))) (/.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (/.f64 (-.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) (*.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) (*.f64 y y))) (*.f64 z z)) (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) z)) x)) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
4 calls:
| 965.0ms | y |
| 898.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 12.0ms | x |
| 12.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.4% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 54.4% | 1 | x |
| 54.4% | 1 | z |
| 54.4% | 1 | y |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (neg.f64 y)))) |
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (*.f64 z #s(approx (/ (+ 1/2 (* -1/2 (cos (* y -2)))) (neg (sin y))) (neg.f64 y)))) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (neg.f64 y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (neg.f64 y)))) |
4 calls:
| 4.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.2% | 1 | y |
| 40.2% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 46.6% | 3 | z |
| 44.5% | 3 | x |
Compiled 24 to 17 computations (29.2% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
3 calls:
| 1.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | z |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.2% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 40.2% | 1 | x |
| 40.2% | 1 | z |
Compiled 20 to 14 computations (30% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 6.991373405492539e+188 | 1.192786997582668e+212 |
| 14.0ms | 2.9615414011403485e-5 | 0.07558361353333592 |
| 22.0ms | -176975.88659939938 | -253.9909242574981 |
| 47.0ms | 432× | 0 | valid |
Compiled 616 to 405 computations (34.3% saved)
ival-sin: 13.0ms (40.1% of total)ival-cos: 12.0ms (37% of total)ival-mult: 6.0ms (18.5% of total)ival-sub: 2.0ms (6.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 0.07558361353333592 | 1.4936291457600237 |
| 26.0ms | -253.9909242574981 | -4.5829720696049e-20 |
| 26.0ms | 288× | 0 | valid |
Compiled 537 to 338 computations (37.1% saved)
ival-sin: 8.0ms (41.5% of total)ival-cos: 6.0ms (31.1% of total)ival-mult: 4.0ms (20.7% of total)ival-sub: 1.0ms (5.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 86.0ms | 3.472836756044355e+173 | 3.8111147750119354e+179 |
| 40.0ms | -6.007659761173011e+152 | -8.360304554761718e+151 |
| 117.0ms | 240× | 0 | valid |
Compiled 300 to 194 computations (35.3% saved)
ival-sub: 69.0ms (62.3% of total)ival-sin: 33.0ms (29.8% of total)ival-cos: 5.0ms (4.5% of total)ival-mult: 3.0ms (2.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 32× | *-commutative_binary64 |
| 20× | +-commutative_binary64 |
| 20× | sub-neg_binary64 |
| 14× | neg-sub0_binary64 |
| 14× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 240 |
| 1 | 99 | 240 |
| 2 | 125 | 240 |
| 3 | 136 | 240 |
| 4 | 140 | 240 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 y #s(literal -260 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 1988789595446811/144115188075855872 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))) (if (<=.f64 y #s(literal 47999999999999997304451104830047426061582273961405641507236636115131890679712232547003216283103910160003889632360382601207212319882122718905224094890771093117467281683841944649397224427409904102400483271901184 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))) |
(if (<=.f64 y #s(literal -2476979795053773/2251799813685248 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 1098878309078401/9007199254740992 binary64)) #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 (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
(if (<=.f64 z #s(literal -289999999999999983176322663424931827751685781804722167514996704291259098175968701763217532141036322513222311413855775385945354478924679175201353076047872 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (neg.f64 y)))) (if (<=.f64 z #s(literal 369999999999999980261553813051516445780845588845857638424582148776093579909314116238388450900906260015928842443576033375373857350535140461702180341741509924683143487697543233536 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (neg.f64 y)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 y #s(literal -260 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 1988789595446811/144115188075855872 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z) y))) (if (<=.f64 y #s(literal 47999999999999997304451104830047426061582273961405641507236636115131890679712232547003216283103910160003889632360382601207212319882122718905224094890771093117467281683841944649397224427409904102400483271901184 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))) |
(if (<=.f64 y #s(literal -260 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 1988789595446811/144115188075855872 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) z)))) (if (<=.f64 y #s(literal 47999999999999997304451104830047426061582273961405641507236636115131890679712232547003216283103910160003889632360382601207212319882122718905224094890771093117467281683841944649397224427409904102400483271901184 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))) |
(if (<=.f64 y #s(literal -2476979795053773/2251799813685248 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 1098878309078401/9007199254740992 binary64)) #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 (- (* x (cos y)) (* z (sin y))) (*.f64 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))) |
(if (<=.f64 z #s(literal -289999999999999983176322663424931827751685781804722167514996704291259098175968701763217532141036322513222311413855775385945354478924679175201353076047872 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (neg.f64 y)))) (if (<=.f64 z #s(literal 369999999999999980261553813051516445780845588845857638424582148776093579909314116238388450900906260015928842443576033375373857350535140461702180341741509924683143487697543233536 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (neg.f64 y)))))) |
(if (<=.f64 z #s(literal -289999999999999983176322663424931827751685781804722167514996704291259098175968701763217532141036322513222311413855775385945354478924679175201353076047872 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (neg.f64 (*.f64 y z)))) (if (<=.f64 z #s(literal 369999999999999980261553813051516445780845588845857638424582148776093579909314116238388450900906260015928842443576033375373857350535140461702180341741509924683143487697543233536 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (neg.f64 (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
| 12 044× | lower-fma.f64 |
| 12 044× | lower-fma.f32 |
| 7 144× | lower-*.f64 |
| 7 144× | lower-*.f32 |
| 7 034× | lower-fma.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 |
| 0 | 1198 | 12477 |
| 1 | 4217 | 12244 |
| 0 | 8899 | 11870 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 221 to 116 computations (47.5% saved)
Compiled 266 to 112 computations (57.9% saved)
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