
Time bar (total: 11.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 1.2s | 8 256× | 0 | valid |
ival-cos: 248.0ms (36.5% of total)ival-sin: 196.0ms (28.8% of total)ival-mult: 165.0ms (24.3% of total)ival-sub: 60.0ms (8.8% of total)ival-true: 7.0ms (1% of total)ival-assert: 3.0ms (0.4% of total)| 1× | egg-herbie |
| 208× | lower-fma.f64 |
| 208× | lower-fma.f32 |
| 178× | distribute-lft-neg-in |
| 166× | associate-*r* |
| 148× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 87 |
| 1 | 90 | 84 |
| 2 | 169 | 84 |
| 3 | 375 | 84 |
| 4 | 665 | 84 |
| 5 | 872 | 84 |
| 6 | 1052 | 84 |
| 7 | 1105 | 84 |
| 8 | 1113 | 84 |
| 9 | 1117 | 84 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 20 | 9 |
| 2 | 32 | 9 |
| 3 | 44 | 9 |
| 4 | 65 | 9 |
| 5 | 95 | 9 |
| 6 | 153 | 9 |
| 7 | 223 | 9 |
| 8 | 282 | 9 |
| 9 | 311 | 9 |
| 10 | 327 | 9 |
| 0 | 327 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x (cos.f64 y)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 z (sin.f64 y)) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 109.0ms | 512× | 0 | valid |
Compiled 76 to 36 computations (52.6% saved)
ival-cos: 61.0ms (66.3% of total)ival-sin: 21.0ms (22.8% of total)ival-mult: 7.0ms (7.6% of total)ival-sub: 2.0ms (2.2% of total)ival-true: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 8 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 z (sin.f64 y)) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 x (cos.f64 y)) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 208× | lower-fma.f64 |
| 208× | lower-fma.f32 |
| 144× | lower-*.f32 |
| 140× | lower-*.f64 |
| 64× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 20 | 24 |
| 2 | 32 | 24 |
| 3 | 44 | 24 |
| 4 | 65 | 24 |
| 5 | 95 | 24 |
| 6 | 153 | 24 |
| 7 | 223 | 24 |
| 8 | 282 | 24 |
| 9 | 311 | 24 |
| 10 | 327 | 24 |
| 0 | 327 | 24 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
| Outputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| ✓ | accuracy | 99.8% | (*.f64 x (cos.f64 y)) |
| 32.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-cos: 10.0ms (50.2% of total)ival-sin: 5.0ms (25.1% of total)ival-mult: 3.0ms (15.1% of total)ival-sub: 1.0ms (5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))> |
#<alt (*.f64 x (cos.f64 y))> |
#<alt (cos.f64 y)> |
#<alt (*.f64 z (sin.f64 y))> |
#<alt (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))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
27 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))) |
| 0.0ms | y | @ | -inf | (- (* x (cos y)) (* z (sin y))) |
| 0.0ms | y | @ | 0 | (- (* x (cos y)) (* z (sin y))) |
| 1× | egg-herbie |
| 12 936× | lower-fma.f64 |
| 12 936× | lower-fma.f32 |
| 4 366× | lower-*.f64 |
| 4 366× | lower-*.f32 |
| 2 310× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 112 | 686 |
| 1 | 339 | 681 |
| 2 | 933 | 669 |
| 3 | 2680 | 663 |
| 4 | 4621 | 663 |
| 5 | 7358 | 663 |
| 0 | 8230 | 636 |
| 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)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
| 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))) |
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(-.f64 (*.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 x (*.f64 y (*.f64 y #s(literal -1/2 binary64))) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(fma.f64 (*.f64 y (*.f64 y x)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(fma.f64 (*.f64 y (*.f64 y x)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 z (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 z (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) z)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
| 1× | batch-egg-rewrite |
| 10 986× | lower-fma.f64 |
| 10 986× | lower-fma.f32 |
| 4 356× | lower-*.f32 |
| 4 352× | lower-*.f64 |
| 3 866× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 33 | 21 |
| 2 | 210 | 21 |
| 3 | 1964 | 21 |
| 0 | 8379 | 21 |
| 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)) |
(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)))))) |
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(-.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 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(*.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)))) |
(sin.f64 y) |
Compiled 15 668 to 732 computations (95.3% saved)
16 alts after pruning (15 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 322 | 15 | 337 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 322 | 16 | 338 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 56.8% | (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))) |
| 67.7% | (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)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) | |
| 44.9% | (fma.f64 (*.f64 x (*.f64 x (cos.f64 y))) (/.f64 (cos.f64 y) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) | |
| ▶ | 99.8% | (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))) |
| 67.7% | (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))))))) | |
| 45.3% | (/.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)))) | |
| ▶ | 45.2% | (/.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)))))))) |
| 17.4% | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) | |
| 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) | |
| ✓ | 99.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 45.2% | (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) | |
| 51.7% | #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)) | |
| 52.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)) | |
| ▶ | 53.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
| ▶ | 61.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
| 40.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) |
Compiled 902 to 444 computations (50.8% 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 | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| ✓ | cost-diff | 1408 | (/.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)))))))) |
| ✓ | cost-diff | 6272 | (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 | 128 | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| ✓ | cost-diff | 128 | (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z))) |
| ✓ | cost-diff | 192 | (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))) |
| ✓ | cost-diff | 960 | (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))) |
| ✓ | 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 z (sin.f64 y)) |
| ✓ | cost-diff | 0 | (neg.f64 (*.f64 z (sin.f64 y))) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))) |
| 6 962× | lower-fma.f32 |
| 6 954× | lower-fma.f64 |
| 2 860× | lower-*.f32 |
| 2 844× | lower-*.f64 |
| 2 494× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 344 |
| 0 | 67 | 338 |
| 1 | 128 | 335 |
| 2 | 301 | 332 |
| 3 | 1066 | 327 |
| 4 | 3546 | 324 |
| 5 | 6782 | 324 |
| 0 | 8296 | 311 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))) |
(cos.f64 y) |
y |
x |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
#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 |
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z))) |
(-.f64 #s(literal 1/2 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 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))) |
#s(literal 0 binary64) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
(/.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)))))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) |
#s(literal 1 binary64) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
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))))))) |
(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) |
(neg.f64 (*.f64 z z)) |
(*.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 x x) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(cos.f64 y) |
y |
x |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (neg.f64 z) x)) |
(-.f64 x (*.f64 z y)) |
(fma.f64 y (neg.f64 z) x) |
x |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
x |
(cos.f64 y) |
y |
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (/.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z))) |
(*.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))) |
(-.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 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
#s(literal 0 binary64) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
x |
(cos.f64 y) |
(/.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)))))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 x x (*.f64 z z)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 z (neg.f64 z))))) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) |
#s(literal 1 binary64) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
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))))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 x x (*.f64 z z)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 z (neg.f64 z)))))) |
(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 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 x x (*.f64 z z)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 z (neg.f64 z))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) |
(cos.f64 (+.f64 y y)) |
(+.f64 y y) |
(neg.f64 (*.f64 z z)) |
(*.f64 z (neg.f64 z)) |
(*.f64 z z) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
(*.f64 x x) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.0% | (/.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))))))) |
| ✓ | accuracy | 83.7% | (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 | 80.4% | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| ✓ | accuracy | 61.2% | (/.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)))))))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))) |
| ✓ | accuracy | 82.9% | (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z))) |
| ✓ | accuracy | 80.4% | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| ✓ | accuracy | 73.9% | (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))) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 x (cos.f64 y)) |
| ✓ | accuracy | 61.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
| ✓ | accuracy | 100.0% | (*.f64 z y) |
| ✓ | accuracy | 100.0% | (-.f64 x (*.f64 z y)) |
| ✓ | accuracy | 53.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.9% | (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| 138.0ms | 99× | 1 | valid |
| 53.0ms | 128× | 0 | valid |
| 43.0ms | 29× | 2 | valid |
Compiled 343 to 37 computations (89.2% saved)
adjust: 49.0ms (31.4% of total)ival-cos: 33.0ms (21.2% of total)ival-mult: 21.0ms (13.5% of total)ival-div: 19.0ms (12.2% of total)ival-sin: 15.0ms (9.6% of total)ival-add: 11.0ms (7.1% of total)ival-sub: 5.0ms (3.2% of total)ival-neg: 3.0ms (1.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))> |
#<alt (cos.f64 y)> |
#<alt (neg.f64 (*.f64 z (sin.f64 y)))> |
#<alt (*.f64 z (sin.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 (*.f64 x (cos.f64 y))> |
#<alt (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)))> |
#<alt (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))> |
#<alt (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)))> |
#<alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y 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 (/.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))))))))> |
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))> |
#<alt (sin.f64 y)> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))> |
#<alt (/.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)))))))> |
| Outputs |
|---|
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))> |
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* x (cos y))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* y z))> |
#<alt (* y (- (* 1/6 (* (pow y 2) z)) z))> |
#<alt (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))> |
#<alt (* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* 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 (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))> |
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* y z))> |
#<alt (- x (* y z))> |
#<alt (- x (* y z))> |
#<alt (- x (* y z))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ (* y z) x) 1)))> |
#<alt (* -1 (* x (- (/ (* y z) x) 1)))> |
#<alt (* -1 (* x (- (/ (* y z) x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (* -1 (* y z))> |
#<alt (* z (- (/ x z) y))> |
#<alt (* z (- (/ x z) y))> |
#<alt (* z (- (/ x z) y))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (* -1 (* y z))> |
#<alt (* y (- (/ x y) z))> |
#<alt (* y (- (/ x y) z))> |
#<alt (* y (- (/ x y) z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* -1 (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))> |
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (- (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt x> |
#<alt (+ x (* -1/2 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))> |
#<alt (+ x (* y (+ (* -1 z) (* y (+ (* -1 (* y (- (* -1/3 z) (* -1/6 z)))) (* -1/2 x))))))> |
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y)))> |
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#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* y z))> |
#<alt (/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y)> |
#<alt (/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y)> |
#<alt (/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y)> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (pow x 2))> |
#<alt (+ (* (pow y 2) (- (/ 1 (pow x 2)) (* -1 (/ (pow z 2) (pow x 4))))) (/ 1 (pow x 2)))> |
#<alt (+ (* (pow y 2) (- (+ (* -1 (* (pow y 2) (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 1/3 (/ (pow z 2) (pow x 4))) (/ (* (+ (* -1 (pow x 2)) (* -1 (pow z 2))) (- (/ 1 (pow x 2)) (* -1 (/ (pow z 2) (pow x 4))))) (pow x 2)))))) (/ 1 (pow x 2))) (* -1 (/ (pow z 2) (pow x 4))))) (/ 1 (pow x 2)))> |
#<alt (+ (* (pow y 2) (- (+ (* (pow y 2) (- (* (pow y 2) (- (* 2/45 (/ 1 (pow x 2))) (+ (* -1 (/ (* (+ (* -1 (pow x 2)) (* -1 (pow z 2))) (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 1/3 (/ (pow z 2) (pow x 4))) (/ (* (+ (* -1 (pow x 2)) (* -1 (pow z 2))) (- (/ 1 (pow x 2)) (* -1 (/ (pow z 2) (pow x 4))))) (pow x 2))))) (pow x 2))) (+ (* -2/45 (/ (pow z 2) (pow x 4))) (/ (* (+ (* 1/3 (pow x 2)) (* 1/3 (pow z 2))) (- (/ 1 (pow x 2)) (* -1 (/ (pow z 2) (pow x 4))))) (pow x 2)))))) (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 1/3 (/ (pow z 2) (pow x 4))) (/ (* (+ (* -1 (pow x 2)) (* -1 (pow z 2))) (- (/ 1 (pow x 2)) (* -1 (/ (pow z 2) (pow x 4))))) (pow x 2)))))) (/ 1 (pow x 2))) (* -1 (/ (pow z 2) (pow x 4))))) (/ 1 (pow x 2)))> |
#<alt (/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))> |
#<alt (/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))> |
#<alt (/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))> |
#<alt (/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))> |
#<alt (/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))))> |
#<alt (/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))))> |
#<alt (/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))))> |
#<alt (/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))))> |
#<alt (/ 1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (+ (/ 1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))))> |
#<alt (+ (* (pow z 2) (- (/ (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (/ 1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))> |
#<alt (+ (* (pow z 2) (- (* (pow z 2) (- (/ (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)) (* (pow x 8) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 4))) (* -1 (/ (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2) (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (/ 1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))> |
#<alt (/ -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (/ (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ 1 (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow z 2))> |
#<alt (/ (- (* -1 (/ (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (+ (/ 1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (pow z 2))> |
#<alt (/ (- (* -1 (/ (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)) (* (pow z 6) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 4)))) (+ (/ 1 (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (pow z 2))> |
#<alt (/ -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (/ (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ 1 (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow z 2))> |
#<alt (/ (- (* -1 (/ (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (+ (/ 1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (pow z 2))> |
#<alt (/ (- (* -1 (/ (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)) (* (pow z 6) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 4)))) (+ (/ 1 (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (pow z 2))> |
#<alt (/ -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (- (* -1 (* (pow x 2) (+ (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))) (/ 1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))> |
#<alt (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))) (+ (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))) (/ 1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))> |
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))) (+ (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))) (/ 1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))> |
#<alt (/ 1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (/ (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (pow x 2))> |
#<alt (/ (- (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (pow x 2))> |
#<alt (/ (- (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 6) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)) (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 4)))) (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* -1 (/ (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (pow x 2))> |
#<alt (/ 1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (/ (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (pow x 2))> |
#<alt (/ (- (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (pow x 2))> |
#<alt (/ (- (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 6) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)) (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 4)))) (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* -1 (/ (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (pow x 2))> |
126 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | z | @ | 0 | (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (/ 1 (+ 0 (* z (sin y))))) (* x (cos y))) |
| 4.0ms | z | @ | inf | (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) |
| 3.0ms | y | @ | 0 | (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) |
| 1.0ms | y | @ | -inf | (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (/ 1 (+ 0 (* z (sin y))))) (* x (cos y))) |
| 1.0ms | y | @ | inf | (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (/ 1 (+ 0 (* z (sin y))))) (* x (cos y))) |
| 1× | egg-herbie |
| 9 022× | lower-fma.f64 |
| 9 022× | lower-fma.f32 |
| 8 076× | lower-*.f64 |
| 8 076× | lower-*.f32 |
| 2 996× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 668 | 8178 |
| 1 | 2252 | 7964 |
| 0 | 8406 | 7670 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (* z (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* y z)) |
(* y (- (* 1/6 (* (pow y 2) z)) z)) |
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z)) |
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z)) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (* z (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* y z)) |
(- x (* y z)) |
(- x (* y z)) |
(- x (* y z)) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
x |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(* -1 (* y z)) |
(* z (- (/ x z) y)) |
(* z (- (/ x z) y)) |
(* z (- (/ x z) y)) |
(* -1 (* y z)) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(* -1 (* y z)) |
(* y (- (/ x y) z)) |
(* y (- (/ x y) z)) |
(* y (- (/ x y) z)) |
(* -1 (* y z)) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (* z (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* z (sin y))) |
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(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* y z)) |
(/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y) |
(/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (pow x 2)) |
(+ (* (pow y 2) (- (/ 1 (pow x 2)) (* -1 (/ (pow z 2) (pow x 4))))) (/ 1 (pow x 2))) |
(+ (* (pow y 2) (- (+ (* -1 (* (pow y 2) (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 1/3 (/ (pow z 2) (pow x 4))) (/ (* (+ (* -1 (pow x 2)) (* -1 (pow z 2))) (- (/ 1 (pow x 2)) (* -1 (/ (pow z 2) (pow x 4))))) (pow x 2)))))) (/ 1 (pow x 2))) (* -1 (/ (pow z 2) (pow x 4))))) (/ 1 (pow x 2))) |
(+ (* (pow y 2) (- (+ (* (pow y 2) (- (* (pow y 2) (- (* 2/45 (/ 1 (pow x 2))) (+ (* -1 (/ (* (+ (* -1 (pow x 2)) (* -1 (pow z 2))) (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 1/3 (/ (pow z 2) (pow x 4))) (/ (* (+ (* -1 (pow x 2)) (* -1 (pow z 2))) (- (/ 1 (pow x 2)) (* -1 (/ (pow z 2) (pow x 4))))) (pow x 2))))) (pow x 2))) (+ (* -2/45 (/ (pow z 2) (pow x 4))) (/ (* (+ (* 1/3 (pow x 2)) (* 1/3 (pow z 2))) (- (/ 1 (pow x 2)) (* -1 (/ (pow z 2) (pow x 4))))) (pow x 2)))))) (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 1/3 (/ (pow z 2) (pow x 4))) (/ (* (+ (* -1 (pow x 2)) (* -1 (pow z 2))) (- (/ 1 (pow x 2)) (* -1 (/ (pow z 2) (pow x 4))))) (pow x 2)))))) (/ 1 (pow x 2))) (* -1 (/ (pow z 2) (pow x 4))))) (/ 1 (pow x 2))) |
(/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) |
(/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) |
(/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) |
(/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) |
(/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))) |
(/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))) |
(/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))) |
(/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))) |
(/ 1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(+ (/ 1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) |
(+ (* (pow z 2) (- (/ (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (/ 1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) |
(+ (* (pow z 2) (- (* (pow z 2) (- (/ (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)) (* (pow x 8) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 4))) (* -1 (/ (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2) (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (/ 1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) |
(/ -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) |
(/ (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ 1 (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow z 2)) |
(/ (- (* -1 (/ (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (+ (/ 1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (pow z 2)) |
(/ (- (* -1 (/ (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)) (* (pow z 6) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 4)))) (+ (/ 1 (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (pow z 2)) |
(/ -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) |
(/ (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ 1 (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow z 2)) |
(/ (- (* -1 (/ (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (+ (/ 1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (pow z 2)) |
(/ (- (* -1 (/ (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)) (* (pow z 6) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 4)))) (+ (/ 1 (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (pow z 2)) |
(/ -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) |
(- (* -1 (* (pow x 2) (+ (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))) (/ 1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))) |
(- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))) (+ (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))) (/ 1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))) (+ (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))) (/ 1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))) |
(/ 1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(/ (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (pow x 2)) |
(/ (- (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (pow x 2)) |
(/ (- (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 6) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)) (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 4)))) (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* -1 (/ (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (pow x 2)) |
(/ 1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(/ (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (pow x 2)) |
(/ (- (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (pow x 2)) |
(/ (- (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 6) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)) (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 4)))) (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* -1 (/ (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (pow x 2)) |
| Outputs |
|---|
x |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 y z)) |
(+ 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 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 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))) |
(* -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 (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 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* y z)) |
(*.f64 y (neg.f64 z)) |
(* y (- (* 1/6 (* (pow y 2) z)) z)) |
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) 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))) (neg.f64 z))) |
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) 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))) (neg.f64 z))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* y z) |
(*.f64 y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 y (fma.f64 y (*.f64 z (*.f64 #s(literal -1/6 binary64) 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 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* -1 (* z (sin y))) |
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1 |
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(/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (/.f64 (*.f64 z z) (*.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 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 x x)) |
(/ (- (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 6) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)) (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 4)))) (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* -1 (/ (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (pow x 2)) |
(/.f64 (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 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)))) (neg.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 z z)) (*.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 4 248× | lower-fma.f32 |
| 4 240× | lower-fma.f64 |
| 3 614× | lower-*.f32 |
| 3 598× | lower-*.f64 |
| 3 144× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 222 |
| 0 | 67 | 174 |
| 1 | 266 | 136 |
| 2 | 2186 | 124 |
| 0 | 9041 | 124 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))) |
(cos.f64 y) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (sin.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))) |
(*.f64 x (cos.f64 y)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y))) |
(+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))) |
(*.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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y 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 (/.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)))))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(sin.f64 y) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.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))))))) |
| Outputs |
|---|
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 z (sin.f64 y)) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) x))) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 z) (neg.f64 (sin.f64 y)))) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 (neg.f64 z)) (sin.f64 y))) |
(+.f64 #s(literal 0 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) |
(+.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal 0 binary64)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) |
(+.f64 (*.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 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) (*.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 z (sin.f64 y) (*.f64 (cos.f64 y) x))))) |
(+.f64 (fma.f64 (cos.f64 y) x #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) |
(+.f64 (-.f64 (*.f64 (cos.f64 y) x) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal -1 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal -1 binary64)) (*.f64 (log.f64 (fma.f64 x (*.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)) (*.f64 z z)))) #s(literal -1 binary64)))) |
(-.f64 (*.f64 z (sin.f64 y)) (/.f64 (*.f64 (cos.f64 y) x) #s(literal -1 binary64))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) #s(literal 1 binary64))) |
(-.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal 0 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z) (*.f64 (*.f64 (cos.f64 y) x) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z) (*.f64 (*.f64 (cos.f64 y) x) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) |
(-.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 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))) |
(-.f64 (fma.f64 (cos.f64 y) x #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) |
(-.f64 (-.f64 (*.f64 (cos.f64 y) x) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) |
(-.f64 (/.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z) (*.f64 (*.f64 (cos.f64 y) x) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z) (*.f64 (*.f64 (cos.f64 y) x) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))) #s(literal 1 binary64))) |
(-.f64 (/.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 z (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 1 binary64)) (/.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 z (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 1 binary64))) |
(-.f64 (/.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 z (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (fma.f64 (cos.f64 y) x #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
(-.f64 (/.f64 (-.f64 (*.f64 (cos.f64 y) x) #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.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 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (-.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 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.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)) (*.f64 z z))))) (-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.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)) (*.f64 z z))))) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) |
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (neg.f64 (sin.f64 y)))) |
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 (neg.f64 z)) (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) (neg.f64 (sin.f64 y)))) |
(fma.f64 x (cos.f64 y) (*.f64 (neg.f64 (neg.f64 z)) (sin.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(fma.f64 z (sin.f64 y) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) x))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) x))) |
(fma.f64 z (/.f64 (sin.f64 y) #s(literal 1 binary64)) (*.f64 (cos.f64 y) x)) |
(fma.f64 z (/.f64 (sin.f64 y) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) x))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) x))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) x))) |
(fma.f64 (sin.f64 y) (/.f64 z #s(literal 1 binary64)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (/.f64 z #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) x))) |
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64) (*.f64 (cos.f64 y) x)) |
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) x))) |
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64) (*.f64 (cos.f64 y) x)) |
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) x))) |
(fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (*.f64 z z)) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (*.f64 z z)) (*.f64 z (sin.f64 y))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) x))) |
(fma.f64 (neg.f64 (*.f64 z z)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x)) |
(fma.f64 (neg.f64 (*.f64 z z)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) x))) |
(fma.f64 (neg.f64 (*.f64 z z)) (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 (neg.f64 (*.f64 z z)) (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) x))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.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)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.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)) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) x))) |
(fma.f64 (fma.f64 x (*.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)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 0 binary64)) |
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(pow.f64 (*.f64 (fma.f64 x (*.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)) (*.f64 z z))) (fma.f64 x (*.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)) (*.f64 z z)))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (fma.f64 x (*.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)) (*.f64 z z))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.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)) (*.f64 z z))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.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)) (*.f64 z z)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.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)) (*.f64 z z))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 x (*.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)) (*.f64 z z))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 x (*.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)) (*.f64 z z))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)))) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.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)) (*.f64 z z)))))) |
Compiled 93 259 to 4 988 computations (94.7% saved)
31 alts after pruning (28 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 313 | 26 | 2 339 |
| Fresh | 8 | 2 | 10 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 324 | 31 | 2 355 |
| Status | Accuracy | Program |
|---|---|---|
| 23.6% | (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 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (sin.f64 y)) z)) (*.f64 x (cos.f64 y))) | |
| ▶ | 99.7% | (fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))) |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))) |
| 45.3% | (/.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) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) | |
| 34.0% | (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #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)))))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) | |
| 60.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) | |
| ✓ | 99.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ▶ | 52.0% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)) |
| 90.7% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 (fma.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y))) (neg.f64 x))) | |
| 41.8% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 (fma.f64 x (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))) (neg.f64 z))) | |
| ▶ | 61.1% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) |
| 26.0% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (/.f64 z (sin.f64 y))))) | |
| 53.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) | |
| 51.7% | #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)) | |
| 51.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) (neg.f64 z)) x)) | |
| ▶ | 33.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) |
| 22.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (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)))))) | |
| 33.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) | |
| 22.1% | #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))))) | |
| 33.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))) | |
| ✓ | 61.3% | #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 y (*.f64 y (fma.f64 y (*.f64 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 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| ▶ | 39.9% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
| 40.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) | |
| 45.3% | #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)))) | |
| 46.6% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y)))) | |
| 40.3% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z)))) | |
| 16.7% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))) | |
| 37.8% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y))))) x))) | |
| 73.9% | #s(approx (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (/ 1 (+ 0 (* z (sin y))))) (* x (cos y))) (*.f64 x (fma.f64 (neg.f64 z) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 x (sin.f64 y))) (cos.f64 y)))) |
Compiled 1 180 to 665 computations (43.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 (*.f64 y #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))) |
| ✓ | cost-diff | 0 | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y 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)))) |
| ✓ | cost-diff | 0 | (fma.f64 y z x) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) |
| ✓ | cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) |
| ✓ | cost-diff | 1792 | (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)) |
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 x #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) |
| ✓ | cost-diff | 0 | (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x) |
| ✓ | cost-diff | 0 | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) 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 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))) |
| ✓ | cost-diff | 1280 | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) |
| 11 862× | lower-fma.f32 |
| 11 854× | lower-fma.f64 |
| 4 312× | lower-*.f32 |
| 4 296× | lower-*.f64 |
| 1 588× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 301 |
| 0 | 80 | 307 |
| 1 | 150 | 299 |
| 2 | 315 | 271 |
| 3 | 825 | 265 |
| 4 | 2744 | 261 |
| 5 | 5822 | 259 |
| 0 | 8490 | 253 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))) |
(cos.f64 y) |
y |
x |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
z |
(sin.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))) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)) |
(fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x) |
y |
(-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) |
(*.f64 y (*.f64 x #s(literal -1/2 binary64))) |
(*.f64 x #s(literal -1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
z |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) |
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)) |
(*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) |
(fma.f64 y z x) |
y |
z |
x |
(-.f64 x (*.f64 y z)) |
(*.f64 y z) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y 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 (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))) |
(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) |
(/.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(cos.f64 y) |
y |
x |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
z |
(sin.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))) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)) |
(fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x) |
y |
(-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) |
(*.f64 y (*.f64 x #s(literal -1/2 binary64))) |
(*.f64 x #s(literal -1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
z |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z))) |
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)) |
(-.f64 x (*.f64 y z)) |
(*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) |
(fma.f64 y z x) |
y |
z |
x |
(-.f64 x (*.f64 y z)) |
(*.f64 y z) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y 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 (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))) |
(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) |
(/.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (/.f64 x (cos.f64 y)) |
| ✓ | accuracy | 99.7% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))) |
| ✓ | accuracy | 99.2% | (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 61.4% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y 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)))) |
| ✓ | accuracy | 100.0% | (-.f64 x (*.f64 y z)) |
| ✓ | accuracy | 99.8% | (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) |
| ✓ | accuracy | 54.1% | (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)) |
| ✓ | accuracy | 53.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) |
| ✓ | accuracy | 100.0% | (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x) |
| ✓ | accuracy | 52.0% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)) |
| ✓ | accuracy | 99.8% | (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
| ✓ | accuracy | 61.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
| ✓ | accuracy | 56.0% | #s(approx (cos y) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
| ✓ | accuracy | 98.9% | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) |
| 76.0ms | 189× | 0 | valid |
| 59.0ms | 67× | 1 | valid |
Compiled 260 to 50 computations (80.8% saved)
ival-cos: 36.0ms (33.2% of total)ival-mult: 27.0ms (24.9% of total)ival-div: 12.0ms (11.1% of total)ival-add: 10.0ms (9.2% of total)ival-sub: 7.0ms (6.5% of total)adjust: 7.0ms (6.5% of total)ival-sin: 6.0ms (5.5% of total)ival-neg: 1.0ms (0.9% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))> |
#<alt (fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))> |
#<alt (cos.f64 y)> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 z (sin.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 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x))> |
#<alt (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)> |
#<alt (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z)> |
#<alt (*.f64 y (*.f64 x #s(literal -1/2 binary64)))> |
#<alt (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x))> |
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))> |
#<alt (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))> |
#<alt (fma.f64 y z x)> |
#<alt #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y 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))))> |
#<alt (*.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)))> |
#<alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))> |
#<alt (cos.f64 (*.f64 y #s(literal -2 binary64)))> |
#<alt (*.f64 z (sin.f64 y))> |
#<alt (*.f64 x #s(literal -1/2 binary64))> |
#<alt (-.f64 x (*.f64 y z))> |
#<alt (/.f64 x (cos.f64 y))> |
| Outputs |
|---|
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* y z))> |
#<alt (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))> |
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))> |
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))> |
#<alt (+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (* x (cos y))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* x (cos y))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* y z))> |
#<alt (/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y)> |
#<alt (/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y)> |
#<alt (/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y)> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (- (* 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 (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))> |
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))))> |
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (+ (* -1 (/ (* x (* (cos y) (- (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* z (sin y)))) (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y)))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))> |
#<alt (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))> |
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))> |
#<alt (* x (- (+ (* -1 (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow x 3) (cos y)))) (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* x (cos y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))> |
#<alt 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)))> |
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#<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 x> |
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#<alt (* -1 (* z (+ y (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)))))> |
#<alt (* -1 z)> |
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#<alt (- (* -1/2 (* x y)) z)> |
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#<alt (* y (+ (* -1 (/ z y)) (* -1/2 x)))> |
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#<alt (* -1 (* y (+ (* 1/2 x) (/ z y))))> |
#<alt (* -1 z)> |
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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 x> |
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#<alt (pow x 2)> |
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#<alt (pow x 2)> |
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#<alt (pow x 2)> |
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#<alt x> |
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#<alt (* y z)> |
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#<alt (* y (+ z (/ x y)))> |
#<alt (* y z)> |
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#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))> |
#<alt x> |
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#<alt (+ x (* y z))> |
#<alt (* y z)> |
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#<alt (* z (+ y (/ x z)))> |
#<alt (* y z)> |
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#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))> |
#<alt (* y z)> |
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#<alt (+ x (* y z))> |
#<alt (+ x (* y z))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* y z) x)))> |
#<alt (* x (+ 1 (/ (* y z) x)))> |
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#<alt x> |
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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 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 x> |
#<alt (+ x (* (pow y 2) (- (* -1 x) (* -1/2 x))))> |
#<alt (+ 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))))> |
#<alt (+ 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))))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt 1> |
#<alt (+ 1 (* -1 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt 1> |
#<alt (+ 1 (* -2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))> |
#<alt (cos (* -2 y))> |
#<alt (cos (* -2 y))> |
#<alt (cos (* -2 y))> |
#<alt (cos (* -2 y))> |
#<alt (cos (* -2 y))> |
#<alt (cos (* -2 y))> |
#<alt (cos (* -2 y))> |
#<alt (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 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1 (* y z))> |
#<alt (- x (* y z))> |
#<alt (- x (* y z))> |
#<alt (- x (* y z))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ (* y z) x) 1)))> |
#<alt (* -1 (* x (- (/ (* y z) x) 1)))> |
#<alt (* -1 (* x (- (/ (* y z) x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (* -1 (* y z))> |
#<alt (* y (- (/ x y) z))> |
#<alt (* y (- (/ x y) z))> |
#<alt (* y (- (/ x y) z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (* -1 (* y z))> |
#<alt (* z (- (/ x z) y))> |
#<alt (* z (- (/ x z) y))> |
#<alt (* z (- (/ x z) y))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))> |
#<alt (/ 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 (* (pow y 2) (+ (* -1/4 x) (* 1/24 x)))) (* -1/2 x))))> |
#<alt (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/720 x) (+ (* 1/48 x) (* 1/2 (+ (* -1/4 x) (* 1/24 x))))))) (+ (* -1/4 x) (* 1/24 x)))) (* -1/2 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))> |
156 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | -inf | (+ (* y (- (* y (* x -1/2)) z)) x) |
| 6.0ms | y | @ | 0 | (* (+ (* y z) x) (- x (* y z))) |
| 2.0ms | x | @ | 0 | (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ x (cos y))) |
| 1.0ms | y | @ | inf | (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ x (cos y))) |
| 1.0ms | y | @ | -inf | (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ x (cos y))) |
| 1× | egg-herbie |
| 10 152× | lower-fma.f64 |
| 10 152× | lower-fma.f32 |
| 6 934× | lower-*.f64 |
| 6 934× | lower-*.f32 |
| 3 380× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 656 | 8331 |
| 1 | 2226 | 7931 |
| 2 | 7840 | 7881 |
| 0 | 8118 | 7457 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* y z)) |
(/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y) |
(/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(- (* 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)))))) |
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(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -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 |
(+ 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)))))) |
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))))) (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)) |
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 (* -2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2))) |
(cos (* -2 y)) |
(cos (* -2 y)) |
(cos (* -2 y)) |
(cos (* -2 y)) |
(cos (* -2 y)) |
(cos (* -2 y)) |
(cos (* -2 y)) |
(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 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1 (* y z)) |
(- x (* y z)) |
(- x (* y z)) |
(- x (* y z)) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
x |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(* -1 (* y z)) |
(* y (- (/ x y) z)) |
(* y (- (/ x y) z)) |
(* y (- (/ x y) z)) |
(* -1 (* y z)) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(* -1 (* y z)) |
(* z (- (/ x z) y)) |
(* z (- (/ x z) y)) |
(* z (- (/ x z) y)) |
(* -1 (* y z)) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(/ 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 (* (pow y 2) (+ (* -1/4 x) (* 1/24 x)))) (* -1/2 x)))) |
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/720 x) (+ (* 1/48 x) (* 1/2 (+ (* -1/4 x) (* 1/24 x))))))) (+ (* -1/4 x) (* 1/24 x)))) (* -1/2 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)) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* y z)) |
(*.f64 z (neg.f64 y)) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 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))) (neg.f64 z))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 z #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))))) (neg.f64 z))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
x |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 z y)) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 x (-.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)))) |
(neg.f64 (*.f64 x (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(neg.f64 (*.f64 x (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(neg.f64 (*.f64 x (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
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(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x #s(literal 5/24 binary64)) (*.f64 x #s(literal 1/2 binary64))) x) |
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/720 x) (+ (* 1/48 x) (* 1/2 (+ (* -1/4 x) (* 1/24 x))))))) (+ (* -1/4 x) (* 1/24 x)))) (* -1/2 x)))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (neg.f64 y)) (fma.f64 x #s(literal 7/360 binary64) (*.f64 x #s(literal -5/48 binary64))) (*.f64 x #s(literal 5/24 binary64))) (*.f64 x #s(literal 1/2 binary64))) x) |
(/ x (cos y)) |
(/.f64 x (cos.f64 y)) |
(/ x (cos y)) |
(/.f64 x (cos.f64 y)) |
(/ x (cos y)) |
(/.f64 x (cos.f64 y)) |
(/ x (cos y)) |
(/.f64 x (cos.f64 y)) |
(/ x (cos y)) |
(/.f64 x (cos.f64 y)) |
(/ x (cos y)) |
(/.f64 x (cos.f64 y)) |
(/ x (cos y)) |
(/.f64 x (cos.f64 y)) |
(/ x (cos y)) |
(/.f64 x (cos.f64 y)) |
| 1× | batch-egg-rewrite |
| 6 380× | lower-fma.f32 |
| 6 372× | lower-fma.f64 |
| 4 886× | lower-*.f32 |
| 4 870× | lower-*.f64 |
| 4 208× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 273 |
| 0 | 80 | 279 |
| 1 | 323 | 184 |
| 2 | 2507 | 184 |
| 0 | 9700 | 184 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) |
(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))) |
(cos.f64 y) |
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.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 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)) |
(fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x) |
(-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) |
(*.f64 y (*.f64 x #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) |
(*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) |
(fma.f64 y z x) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y 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 (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))) |
(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 z (sin.f64 y)) |
(*.f64 x #s(literal -1/2 binary64)) |
(-.f64 x (*.f64 y z)) |
(/.f64 x (cos.f64 y)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) |
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) z) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) (sin.f64 y)) |
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))))) |
(+.f64 (*.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 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) (*.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 z (sin.f64 y) (*.f64 (cos.f64 y) x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal -1 binary64)) (*.f64 (log.f64 (fma.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))))) #s(literal -1 binary64)))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #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 z (sin.f64 y) (*.f64 (cos.f64 y) x))))) (/.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 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) |
(-.f64 (/.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #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 z (sin.f64 y) (*.f64 (cos.f64 y) x))))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (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 z (sin.f64 y) (*.f64 (cos.f64 y) x))))) #s(literal 1 binary64))) |
(-.f64 (/.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 z (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 1 binary64)) (/.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 z (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (-.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 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (-.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 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.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)))))) (-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.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)))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) (/.f64 (fma.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)))) (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))) |
(-.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 (sin.f64 y) (neg.f64 z)) (*.f64 (cos.f64 y) x))) (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (cos.f64 y) x)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (cos.f64 y) x)) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64) (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (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 (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 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))) |
(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 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (*.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 z (sin.f64 y) (*.f64 (cos.f64 y) x))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.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)))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 #s(literal 1 binary64) (fma.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))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.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))))) (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (cos.f64 y) x)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (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 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (cos.f64 y) x)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (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 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))) |
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(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))) |
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(neg.f64 (/.f64 (neg.f64 x) (cos.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 y) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 y) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 y) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 y) x)))) |
(/.f64 x (cos.f64 y)) |
(/.f64 (neg.f64 x) (neg.f64 (cos.f64 y))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (cos.f64 y)))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (cos.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 y))))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (cos.f64 y))) |
(pow.f64 (/.f64 (cos.f64 y) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (cos.f64 y) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 y))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
Compiled 29 641 to 2 190 computations (92.6% saved)
45 alts after pruning (40 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 209 | 30 | 1 239 |
| Fresh | 13 | 10 | 23 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 225 | 45 | 1 270 |
| Status | Accuracy | Program |
|---|---|---|
| 23.6% | (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 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (sin.f64 y)) z)) (*.f64 x (cos.f64 y))) | |
| ▶ | 99.6% | (fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z))) |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))) |
| 77.8% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))) | |
| 45.3% | (/.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) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) | |
| 60.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) | |
| ✓ | 99.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 61.1% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 (/.f64 x (cos.f64 y)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) (*.f64 (/.f64 x (cos.f64 y)) #s(literal 1/2 binary64)))) | |
| 13.7% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (*.f64 z (*.f64 z z))) (fma.f64 z (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))))) x)) | |
| 36.6% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z))) x)) | |
| 37.9% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y #s(approx (- (* y (* x -1/2)) z) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x)) | |
| 53.3% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y #s(approx (- (* y (* x -1/2)) z) (neg.f64 z)) x)) | |
| 24.6% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.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 x (cos.f64 y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) | |
| 24.7% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.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)) #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 (cos.f64 y) x)))) | |
| 61.1% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y 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))) | |
| ✓ | 61.1% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y 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)))) |
| 41.8% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y 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 (cos.f64 y) (*.f64 z (pow.f64 (sin.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)) (sin.f64 y))))) | |
| ▶ | 26.8% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y 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 (sin.f64 y))))) |
| 26.0% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (/.f64 z (sin.f64 y))))) | |
| ▶ | 16.7% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y)))) |
| 8.9% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (/.f64 z (neg.f64 y))))))) | |
| 2.9% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) x)))) | |
| 37.8% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ x (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x))) | |
| 51.7% | #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)) | |
| 51.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) (neg.f64 z)) x)) | |
| ▶ | 31.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z)))))) |
| 14.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z y)))) | |
| 32.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* y z) x) (fma.f64 y (/.f64 (*.f64 z x) x) x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) | |
| 14.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) | |
| 8.9% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 y (neg.f64 y)) (fma.f64 z z (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) #s(literal 0 binary64)) y)))) (fma.f64 y z x))) | |
| 8.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 z (*.f64 z (*.f64 y (neg.f64 y))))) (fma.f64 y z x))) | |
| 22.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)) (fma.f64 y z x))) | |
| ▶ | 53.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))) |
| 33.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))))) | |
| 52.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 x (*.f64 z y)) (*.f64 (fma.f64 z y x) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))) | |
| 22.1% | #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))))) | |
| 85.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))) | |
| ✓ | 61.3% | #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 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) | |
| ✓ | 39.9% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
| 40.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) | |
| 45.3% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))))) | |
| 46.6% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 z (-.f64 (/.f64 x z) y)))) | |
| 40.3% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 y (-.f64 (/.f64 x y) z)))) | |
| 37.8% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y))))) x))) |
Compiled 1 704 to 971 computations (43% 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 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y)))) |
| ✓ | cost-diff | 0 | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y 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 (sin.f64 y))))) |
| ✓ | cost-diff | 128 | (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))) |
| ✓ | cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z)))))) |
| ✓ | cost-diff | 832 | (*.f64 z (+.f64 y (/.f64 x z))) |
| ✓ | cost-diff | 0 | (-.f64 x (*.f64 z y)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))) |
| ✓ | cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))) |
| ✓ | cost-diff | 0 | (neg.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 z (neg.f64 y)) |
| ✓ | cost-diff | 0 | #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y))) |
| ✓ | cost-diff | 0 | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y)))) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z))) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z) |
| ✓ | cost-diff | 1280 | (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)) |
| 11 626× | lower-fma.f32 |
| 11 620× | lower-fma.f64 |
| 4 752× | lower-*.f32 |
| 4 738× | lower-*.f64 |
| 1 370× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 377 |
| 0 | 95 | 366 |
| 1 | 185 | 354 |
| 2 | 386 | 350 |
| 3 | 1015 | 341 |
| 4 | 3128 | 337 |
| 5 | 6494 | 337 |
| 0 | 8320 | 326 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z))) |
(cos.f64 y) |
y |
x |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)) |
#s(literal -1 binary64) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z) |
(/.f64 #s(literal 1 binary64) (sin.f64 y)) |
#s(literal 1 binary64) |
(sin.f64 y) |
z |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y)))) |
#s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y))) |
(*.f64 z (neg.f64 y)) |
z |
(neg.f64 y) |
y |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (-.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 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z)))))) |
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))) |
(*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) |
(fma.f64 y z x) |
y |
z |
x |
(-.f64 x (*.f64 y z)) |
(*.f64 y z) |
#s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z)))) |
(*.f64 z (+.f64 y (/.f64 x z))) |
(+.f64 y (/.f64 x z)) |
(/.f64 x z) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y 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 (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 (sin.f64 y)))) |
z |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))) |
(fma.f64 #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) |
#s(literal 1/2 binary64) |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) |
(cos.f64 y) |
y |
x |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)) |
(neg.f64 (*.f64 (sin.f64 y) z)) |
#s(literal -1 binary64) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(/.f64 #s(literal 1 binary64) (sin.f64 y)) |
#s(literal 1 binary64) |
(sin.f64 y) |
z |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y)))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 y (neg.f64 z)))) |
#s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y))) |
#s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 y (neg.f64 z))) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
z |
(neg.f64 y) |
y |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))) |
(-.f64 x (*.f64 y z)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))) |
(/.f64 #s(literal 1 binary64) (-.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 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (fma.f64 y z x)))) |
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))) |
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (fma.f64 y z x))) |
(*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) |
(fma.f64 y z x) |
y |
z |
x |
(-.f64 x (*.f64 y z)) |
(*.f64 y z) |
#s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z)))) |
#s(approx (+ (* y z) x) (fma.f64 y z x)) |
(*.f64 z (+.f64 y (/.f64 x z))) |
(fma.f64 y z x) |
(+.f64 y (/.f64 x z)) |
(/.f64 x z) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y 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 (sin.f64 y))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ 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)))) |
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y)))) |
(*.f64 (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 |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))) |
(/.f64 (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 #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) |
#s(literal 1/2 binary64) |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y)))) |
| ✓ | accuracy | 80.4% | (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 72.0% | (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))) |
| ✓ | accuracy | 40.4% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y 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 (sin.f64 y))))) |
| ✓ | accuracy | 99.8% | (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) |
| ✓ | accuracy | 86.0% | (*.f64 z (+.f64 y (/.f64 x z))) |
| ✓ | accuracy | 54.1% | (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))) |
| ✓ | accuracy | 53.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z)))))) |
| ✓ | accuracy | 100.0% | (-.f64 x (*.f64 z y)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))) |
| ✓ | accuracy | 53.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))) |
| ✓ | accuracy | 100.0% | (*.f64 z (neg.f64 y)) |
| ✓ | accuracy | 100.0% | (neg.f64 y) |
| ✓ | accuracy | 52.0% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y)))) |
| ✓ | accuracy | 33.6% | #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y))) |
| ✓ | accuracy | 99.9% | (fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (sin.f64 y)) |
| ✓ | accuracy | 99.6% | (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z) |
| ✓ | accuracy | 98.9% | (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)) |
| 159.0ms | 128× | 0 | valid |
| 109.0ms | 74× | 2 | valid |
| 34.0ms | 21× | 3 | valid |
| 28.0ms | 33× | 1 | valid |
Compiled 302 to 61 computations (79.8% saved)
ival-cos: 134.0ms (46% of total)ival-mult: 70.0ms (24% of total)adjust: 30.0ms (10.3% of total)ival-div: 23.0ms (7.9% of total)ival-add: 14.0ms (4.8% of total)ival-sub: 10.0ms (3.4% of total)ival-sin: 6.0ms (2.1% of total)ival-neg: 3.0ms (1% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z))> |
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)> |
#<alt (fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)))> |
#<alt (cos.f64 y)> |
#<alt #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y))))> |
#<alt #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y)))> |
#<alt (*.f64 z (neg.f64 y))> |
#<alt (neg.f64 y)> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))> |
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))))> |
#<alt (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))> |
#<alt (-.f64 x (*.f64 z y))> |
#<alt (*.f64 z (+.f64 y (/.f64 x z)))> |
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))))> |
#<alt (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z)))))> |
#<alt (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))> |
#<alt (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y)))> |
#<alt #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y 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 (sin.f64 y)))))> |
#<alt (*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))> |
#<alt (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) (sin.f64 y))> |
| Outputs |
|---|
#<alt (* -1 (* y z))> |
#<alt (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))> |
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))> |
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (/ 1 (* y z))> |
#<alt (/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y)> |
#<alt (/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y)> |
#<alt (/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y)> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))> |
#<alt (+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (* x (cos y))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))> |
#<alt (* x (cos y))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))> |
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))))> |
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (+ (* -1 (/ (* x (* (cos y) (- (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* z (sin y)))) (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y)))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))> |
#<alt (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))> |
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))> |
#<alt (* x (- (+ (* -1 (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow x 3) (cos y)))) (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* x (cos y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* y (- (* y (- (* -1 x) (* -1/2 x))) z)))> |
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#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (* -1 (* y z))> |
#<alt (* y (- (/ x y) z))> |
#<alt (* y (- (/ x y) z))> |
#<alt (* y (- (/ x y) z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (* -1 (* y z))> |
#<alt (* z (- (/ x z) y))> |
#<alt (* z (- (/ x z) y))> |
#<alt (* z (- (/ x z) y))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))> |
#<alt (* -1 (* y z))> |
#<alt (- x (* y z))> |
#<alt (- x (* y z))> |
#<alt (- x (* y z))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ (* y z) x) 1)))> |
#<alt (* -1 (* x (- (/ (* y z) x) 1)))> |
#<alt (* -1 (* x (- (/ (* y z) x) 1)))> |
#<alt (pow x 2)> |
#<alt (+ (* y (+ (* -1 (* x z)) (* x z))) (pow x 2))> |
#<alt (+ (* y (+ (* -1 (* x z)) (+ (* -1 (* y (pow z 2))) (* x z)))) (pow x 2))> |
#<alt (+ (* y (+ (* -1 (* x z)) (+ (* -1 (* y (pow z 2))) (* x z)))) (pow x 2))> |
#<alt (* -1 (* (pow y 2) (pow z 2)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (pow z 2)) (/ (* x z) y))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (pow z 2)) (+ (/ (* x z) y) (/ (pow x 2) (pow y 2))))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (pow z 2)) (+ (/ (* x z) y) (/ (pow x 2) (pow y 2))))))> |
#<alt (* -1 (* (pow y 2) (pow z 2)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (* x z)) y)) (* -1 (pow z 2))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (+ (* -1 (/ (pow x 2) y)) (* x z))) y)) (* -1 (pow z 2))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (+ (* -1 (/ (pow x 2) y)) (* x z))) y)) (* -1 (pow z 2))))> |
#<alt (pow x 2)> |
#<alt (+ (* z (+ (* -1 (* x y)) (* x y))) (pow x 2))> |
#<alt (+ (* z (+ (* -1 (* x y)) (+ (* -1 (* (pow y 2) z)) (* x y)))) (pow x 2))> |
#<alt (+ (* z (+ (* -1 (* x y)) (+ (* -1 (* (pow y 2) z)) (* x y)))) (pow x 2))> |
#<alt (* -1 (* (pow y 2) (pow z 2)))> |
#<alt (* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (/ (* x y) z))))> |
#<alt (* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (+ (/ (* x y) z) (/ (pow x 2) (pow z 2))))))> |
#<alt (* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (+ (/ (* x y) z) (/ (pow x 2) (pow z 2))))))> |
#<alt (* -1 (* (pow y 2) (pow z 2)))> |
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (* x y)) z)) (* -1 (pow y 2))))> |
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (pow x 2) z)) (* x y))) z)) (* -1 (pow y 2))))> |
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (pow x 2) z)) (* x y))) z)) (* -1 (pow y 2))))> |
#<alt (* -1 (* (pow y 2) (pow z 2)))> |
#<alt (+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ (* -1 (* y z)) (* y z))))> |
#<alt (+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ x (+ (* -1 (* y z)) (* y z)))))> |
#<alt (+ (* -1 (* (pow y 2) (pow z 2))) (* x (+ x (+ (* -1 (* y z)) (* y z)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (/ (* y z) x))))> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)))))> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (* y z) x)) (/ (* y z) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (* y z)) (* y z))) (/ (* (pow y 2) (pow z 2)) x)) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (* y z)) (* y z))) (/ (* (pow y 2) (pow z 2)) x)) x))))> |
#<alt (* -1 y)> |
#<alt (* y (- (* 1/6 (pow y 2)) 1))> |
#<alt (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))> |
#<alt (* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))> |
#<alt (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y)))> |
#<alt (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y)))> |
#<alt (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y)))> |
#<alt (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y)))> |
#<alt (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y)))> |
#<alt (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y)))> |
#<alt (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y)))> |
#<alt (* -1 (/ (+ 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))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))> |
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))))> |
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (+ (* -1 (/ (* x (* (cos y) (- (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* z (sin y)))) (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y)))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))> |
#<alt (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))> |
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))> |
#<alt (* x (- (+ (* -1 (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow x 3) (cos y)))) (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* x (cos y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))> |
#<alt 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)))> |
#<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 (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))> |
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))> |
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* -1/2 (cos (* -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 y)> |
#<alt (/ (+ 1 (* 1/6 (pow y 2))) y)> |
#<alt (/ (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) y)> |
#<alt (/ (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) y)> |
#<alt (/ 1 (sin y))> |
#<alt (/ 1 (sin y))> |
#<alt (/ 1 (sin y))> |
#<alt (/ 1 (sin y))> |
#<alt (/ 1 (sin y))> |
#<alt (/ 1 (sin y))> |
#<alt (/ 1 (sin y))> |
#<alt (/ 1 (sin y))> |
147 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y))) |
| 2.0ms | z | @ | -inf | (/ 1 (- x (* z y))) |
| 2.0ms | z | @ | 0 | (* z (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y)))) |
| 1.0ms | y | @ | inf | (* z (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y)))) |
| 1.0ms | y | @ | -inf | (* z (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y)))) |
| 1× | egg-herbie |
| 9 188× | lower-fma.f64 |
| 9 188× | lower-fma.f32 |
| 7 080× | lower-*.f64 |
| 7 080× | lower-*.f32 |
| 3 308× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 785 | 8640 |
| 1 | 2609 | 8225 |
| 0 | 8474 | 7807 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* y z)) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
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(/ 1 (sin y)) |
(/ 1 (sin y)) |
(/ 1 (sin y)) |
| Outputs |
|---|
(* -1 (* y z)) |
(*.f64 y (neg.f64 z)) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(*.f64 y (fma.f64 (*.f64 (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) y) y (neg.f64 z))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y) |
(/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) y) |
(/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) z)) y) y (/.f64 #s(literal 1 binary64) z)) y) |
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
(/.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 31/15120 binary64) (/.f64 #s(literal 7/360 binary64) z)) (/.f64 #s(literal 1/6 binary64) z)) (/.f64 #s(literal 1 binary64) z)) y) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
x |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 y z)) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 x (-.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)))) |
(neg.f64 (*.f64 x (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(neg.f64 (*.f64 x (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(neg.f64 (*.f64 x (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 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) |
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (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)) (neg.f64 (sin.f64 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))) |
(fma.f64 (*.f64 x (cos.f64 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))) |
(+ (* -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)))))) |
(-.f64 (*.f64 x (fma.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (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 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 (*.f64 (cos.f64 y) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (*.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)))) |
(+ (* -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)))))) |
(fma.f64 x (fma.f64 x (fma.f64 (neg.f64 x) (/.f64 (*.f64 (cos.f64 y) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (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 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (*.f64 z (sin.f64 y))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (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 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (/.f64 (*.f64 (cos.f64 y) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))))) |
(/ (* 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)) |
(* 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)))))) |
(*.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 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) |
(* 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)))))) |
(*.f64 x (-.f64 (-.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 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 x (*.f64 x (cos.f64 y))))) (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 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z)) (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))))) |
(* 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)))))) |
(*.f64 x (-.f64 (-.f64 (-.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 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 x (*.f64 x (cos.f64 y))))) (/.f64 (neg.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 (*.f64 z z) (-.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 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))) (*.f64 x (*.f64 x (*.f64 x (cos.f64 y)))))) (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 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z)) (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 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 (* 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)))))) |
(neg.f64 (*.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 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y))))) |
(* -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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(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y)))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (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)) (neg.f64 (sin.f64 y)))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (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)) (neg.f64 (sin.f64 y)))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (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)) (neg.f64 (sin.f64 y)))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (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)) (neg.f64 (sin.f64 y)))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (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)) (neg.f64 (sin.f64 y)))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (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)) (neg.f64 (sin.f64 y)))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (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)) (neg.f64 (sin.f64 y)))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (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)) (neg.f64 (sin.f64 y)))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (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)) (neg.f64 (sin.f64 y)))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (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)) (neg.f64 (sin.f64 y)))) |
(* -1 (* y z)) |
(*.f64 y (neg.f64 z)) |
(* y (+ (* -1 z) (* -1 (* (pow y 2) (- (* -1/3 z) (* -1/6 z)))))) |
(*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(* 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))))))) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (neg.f64 y)) (-.f64 (*.f64 z #s(literal 2/45 binary64)) (fma.f64 z #s(literal 1/36 binary64) (*.f64 z #s(literal 1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 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)))))))))) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (neg.f64 y)) (-.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal -1/315 binary64)) (fma.f64 #s(literal -1/6 binary64) (-.f64 (*.f64 z #s(literal 2/45 binary64)) (fma.f64 z #s(literal 1/36 binary64) (*.f64 z #s(literal 1/120 binary64)))) (fma.f64 z #s(literal -1/720 binary64) (*.f64 z #s(literal -1/5040 binary64))))) (*.f64 z #s(literal 2/45 binary64))) (fma.f64 z #s(literal 1/36 binary64) (*.f64 z #s(literal 1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (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)) (neg.f64 (sin.f64 y)))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (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)) (neg.f64 (sin.f64 y)))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (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)) (neg.f64 (sin.f64 y)))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (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)) (neg.f64 (sin.f64 y)))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (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)) (neg.f64 (sin.f64 y)))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (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)) (neg.f64 (sin.f64 y)))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (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)) (neg.f64 (sin.f64 y)))) |
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (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)) (neg.f64 (sin.f64 y)))) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) |
(*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3)))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.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)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (* -2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (* -2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (* -2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (* -2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (* -2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (* -2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (* -2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* 1/6 (pow y 2))) y) |
(/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) y) |
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) y) |
(/.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) y) |
(/ (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) y) |
(/.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) y) |
(/ 1 (sin y)) |
(/.f64 #s(literal 1 binary64) (sin.f64 y)) |
(/ 1 (sin y)) |
(/.f64 #s(literal 1 binary64) (sin.f64 y)) |
(/ 1 (sin y)) |
(/.f64 #s(literal 1 binary64) (sin.f64 y)) |
(/ 1 (sin y)) |
(/.f64 #s(literal 1 binary64) (sin.f64 y)) |
(/ 1 (sin y)) |
(/.f64 #s(literal 1 binary64) (sin.f64 y)) |
(/ 1 (sin y)) |
(/.f64 #s(literal 1 binary64) (sin.f64 y)) |
(/ 1 (sin y)) |
(/.f64 #s(literal 1 binary64) (sin.f64 y)) |
(/ 1 (sin y)) |
(/.f64 #s(literal 1 binary64) (sin.f64 y)) |
| 1× | batch-egg-rewrite |
| 4 614× | lower-*.f32 |
| 4 600× | lower-*.f64 |
| 3 908× | lower-/.f32 |
| 3 892× | lower-/.f64 |
| 3 628× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 309 |
| 0 | 95 | 301 |
| 1 | 405 | 230 |
| 2 | 2978 | 230 |
| 0 | 8856 | 225 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z) |
(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z))) |
(cos.f64 y) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y)))) |
#s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y))) |
(*.f64 z (neg.f64 y)) |
(neg.f64 y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))) |
(-.f64 x (*.f64 z y)) |
(*.f64 z (+.f64 y (/.f64 x z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z)))))) |
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))) |
(*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y 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 (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 (sin.f64 y)))) |
(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) (sin.f64 y)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) |
(neg.f64 (*.f64 (sin.f64 y) z)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))) |
(/.f64 (sin.f64 y) (neg.f64 (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (neg.f64 (neg.f64 z)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 (sin.f64 y) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))) |
(*.f64 (sin.f64 y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (neg.f64 (sin.f64 y)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))) |
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) (neg.f64 z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 y) (neg.f64 z)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (neg.f64 (neg.f64 z))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 z)) |
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (sin.f64 y)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (sin.f64 y))) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) (neg.f64 (sin.f64 y))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z))) (sin.f64 y)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(*.f64 (pow.f64 (/.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z (neg.f64 z)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z (neg.f64 z))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) (*.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) (*.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #s(literal -1 binary64)) (*.f64 (log.f64 (-.f64 (*.f64 x (*.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)) (*.f64 z z)))) #s(literal -1 binary64)))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))) |
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(neg.f64 (/.f64 (*.f64 z (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) (neg.f64 (/.f64 (neg.f64 (sin.f64 y)) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(/.f64 z (/.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)))) |
(/.f64 (neg.f64 z) (neg.f64 (/.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))))) |
(/.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (sin.f64 y))) |
(/.f64 (neg.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 y)) |
(/.f64 (*.f64 z #s(literal 1 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)))) |
(/.f64 (*.f64 z (neg.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 (*.f64 #s(literal 1 binary64) z) (/.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)))) |
(/.f64 (*.f64 (neg.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 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (sin.f64 y)) |
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 (/.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))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) z)) (neg.f64 (/.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))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (neg.f64 (sin.f64 y))) |
(/.f64 (neg.f64 (*.f64 z (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (neg.f64 (sin.f64 y))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) z)) (neg.f64 (sin.f64 y))) |
(/.f64 (neg.f64 (/.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (neg.f64 (sin.f64 y))) |
(pow.f64 (/.f64 (neg.f64 (sin.f64 y)) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y)))) |
(*.f64 (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) (sin.f64 y)) z)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 y))) z) |
(*.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(*.f64 (/.f64 z #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)) (sin.f64 y))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 #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)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.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)))))) (-.f64 #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))))) |
(/.f64 #s(literal -1 binary64) (neg.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))))) |
(/.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)))))) (-.f64 #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)))) |
(/.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)) (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 (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)) (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) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/4 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 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 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)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) |
(/.f64 (neg.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))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64)))))) |
(/.f64 (neg.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))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64))) (neg.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 1/4 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 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/4 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 #s(literal -2 binary64))) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))) |
(pow.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)))))) (-.f64 #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) (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) (*.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)))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (sin.f64 y)) |
(pow.f64 (sin.f64 y) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (sin.f64 y))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) |
Compiled 24 612 to 2 073 computations (91.6% saved)
48 alts after pruning (41 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 112 | 13 | 1 125 |
| Fresh | 7 | 28 | 35 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 122 | 48 | 1 170 |
| Status | Accuracy | Program |
|---|---|---|
| 74.3% | (fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) z))) | |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))) |
| 77.7% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z))) | |
| 77.8% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))) | |
| 45.3% | (/.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) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) | |
| 60.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) | |
| ✓ | 99.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 61.1% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 (/.f64 x (cos.f64 y)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) (*.f64 (/.f64 x (cos.f64 y)) #s(literal 1/2 binary64)))) | |
| 13.7% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (*.f64 z (*.f64 z z))) (fma.f64 z (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))))) x)) | |
| 36.6% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z))) x)) | |
| 37.9% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y #s(approx (- (* y (* x -1/2)) z) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x)) | |
| 53.3% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y #s(approx (- (* y (* x -1/2)) z) (neg.f64 z)) x)) | |
| 24.6% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.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 x (cos.f64 y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) | |
| 24.7% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.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)) #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 (cos.f64 y) x)))) | |
| 26.8% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.f64 (*.f64 (neg.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))) | |
| 61.1% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y 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))) | |
| ✓ | 61.1% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y 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)))) |
| 41.8% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y 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 (cos.f64 y) (*.f64 z (pow.f64 (sin.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)) (sin.f64 y))))) | |
| ✓ | 26.8% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y 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 (sin.f64 y))))) |
| 16.2% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 z #s(approx (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y))) (*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) | |
| 26.0% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (/.f64 z (sin.f64 y))))) | |
| 2.9% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 (*.f64 y y) (*.f64 x #s(literal -1/2 binary64))))) | |
| ✓ | 16.7% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y)))) |
| 8.9% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (/.f64 z (neg.f64 y))))))) | |
| 37.8% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ x (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x))) | |
| 16.5% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* z (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y)))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (neg.f64 y)) (-.f64 (*.f64 z #s(literal 2/45 binary64)) (fma.f64 z #s(literal 1/36 binary64) (*.f64 z #s(literal 1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z))))) | |
| 16.1% | #s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* z (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y)))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) | |
| 31.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z)))))) | |
| 30.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (fma.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) z) (*.f64 y z))))) | |
| 32.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* y z) x) (fma.f64 y (/.f64 (*.f64 z x) x) x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) | |
| 14.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) | |
| 8.9% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 y (neg.f64 y)) (fma.f64 z z (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) #s(literal 0 binary64)) y)))) (fma.f64 y z x))) | |
| 8.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 z (*.f64 z (*.f64 y (neg.f64 y))))) (fma.f64 y z x))) | |
| 22.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)) (fma.f64 y z x))) | |
| 20.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z)))))) | |
| 39.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x)))) | |
| 33.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 y z)) x)) x)))) | |
| 39.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 #s(literal 1 binary64) x)))) | |
| 33.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))))) | |
| 52.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 x (*.f64 z y)) (*.f64 (fma.f64 z y x) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))) | |
| 85.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))) | |
| ✓ | 61.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
| ✓ | 39.9% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
| 40.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) | |
| 45.3% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))))) | |
| 46.6% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 z (-.f64 (/.f64 x z) y)))) | |
| 40.3% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 y (-.f64 (/.f64 x y) z)))) | |
| 37.8% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y))))) x))) |
Compiled 2 500 to 845 computations (66.2% 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 y (neg.f64 z)))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y #s(approx (- (* y (* x -1/2)) z) (neg.f64 z)) x)) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) x)))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 (*.f64 y y) (*.f64 x #s(literal -1/2 binary64))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y #s(approx (- (* y (* x -1/2)) z) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 y (-.f64 (/.f64 x y) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 z (-.f64 (/.f64 x z) y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* z (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y)))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 z #s(approx (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y))) (*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)) (fma.f64 y z 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 (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #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))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (/.f64 z (neg.f64 y))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) (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)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y))))) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 z (*.f64 z (*.f64 y (neg.f64 y))))) (fma.f64 y z x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) 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 x (*.f64 z y)) (*.f64 (fma.f64 z y x) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ x (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* y z) x) (fma.f64 y (/.f64 (*.f64 z x) x) x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* z (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y)))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (neg.f64 y)) (-.f64 (*.f64 z #s(literal 2/45 binary64)) (fma.f64 z #s(literal 1/36 binary64) (*.f64 z #s(literal 1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (fma.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) z) (*.f64 y z))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 y (neg.f64 y)) (fma.f64 z z (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) #s(literal 0 binary64)) y)))) (fma.f64 y z x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 y z)) 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 #s(literal 1 binary64) (/.f64 (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)))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (*.f64 z (*.f64 z z))) (fma.f64 z (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))))) 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)))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y 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 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y 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 (sin.f64 y))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.f64 (*.f64 (neg.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))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (/.f64 z (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) |
(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z))) |
(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) z))) |
#s(approx (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (/ 1 (+ 0 (* z (sin y))))) (* x (cos y))) (*.f64 x (fma.f64 (neg.f64 z) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 x (sin.f64 y))) (cos.f64 y)))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 (/.f64 x (cos.f64 y)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) (*.f64 (/.f64 x (cos.f64 y)) #s(literal 1/2 binary64)))) |
(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))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.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 x (cos.f64 y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #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)))))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.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)) #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 (cos.f64 y) x)))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(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 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (sin.f64 y)) z)) (*.f64 x (cos.f64 y))) |
(/.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)))))))) |
(/.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) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 (fma.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y))) (neg.f64 x))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y 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 (cos.f64 y) (*.f64 z (pow.f64 (sin.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)) (sin.f64 y))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 (fma.f64 x (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))) (neg.f64 z))) |
(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))))))) |
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(fma.f64 (*.f64 x (*.f64 x (cos.f64 y))) (/.f64 (cos.f64 y) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) |
| Outputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
4 calls:
| 27.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 26.0ms | y |
| 26.0ms | x |
| 24.0ms | z |
| 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 y (neg.f64 z)))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y #s(approx (- (* y (* x -1/2)) z) (neg.f64 z)) x)) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) x)))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 (*.f64 y y) (*.f64 x #s(literal -1/2 binary64))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y #s(approx (- (* y (* x -1/2)) z) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 y (-.f64 (/.f64 x y) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 z (-.f64 (/.f64 x z) y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* z (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y)))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 z #s(approx (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y))) (*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)) (fma.f64 y z 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 (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #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))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (/.f64 z (neg.f64 y))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) (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)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y))))) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 z (*.f64 z (*.f64 y (neg.f64 y))))) (fma.f64 y z x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) 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 x (*.f64 z y)) (*.f64 (fma.f64 z y x) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ x (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* y z) x) (fma.f64 y (/.f64 (*.f64 z x) x) x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* z (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y)))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (neg.f64 y)) (-.f64 (*.f64 z #s(literal 2/45 binary64)) (fma.f64 z #s(literal 1/36 binary64) (*.f64 z #s(literal 1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (fma.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) z) (*.f64 y z))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 y (neg.f64 y)) (fma.f64 z z (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) #s(literal 0 binary64)) y)))) (fma.f64 y z x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 y z)) 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 #s(literal 1 binary64) (/.f64 (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)))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (*.f64 z (*.f64 z z))) (fma.f64 z (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))))) 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)))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z))) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
4 calls:
| 79.0ms | y |
| 46.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 40.0ms | z |
| 15.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.7% | 3 | x |
| 80.9% | 3 | y |
| 90.6% | 3 | z |
| 80.1% | 2 | (-.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 y (neg.f64 z)))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y #s(approx (- (* y (* x -1/2)) z) (neg.f64 z)) x)) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) x)))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 (*.f64 y y) (*.f64 x #s(literal -1/2 binary64))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y #s(approx (- (* y (* x -1/2)) z) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 y (-.f64 (/.f64 x y) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 z (-.f64 (/.f64 x z) y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* z (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y)))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 z #s(approx (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y))) (*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)) (fma.f64 y z 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 (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #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))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (/.f64 z (neg.f64 y))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) (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)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y))))) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 z (*.f64 z (*.f64 y (neg.f64 y))))) (fma.f64 y z x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) 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 x (*.f64 z y)) (*.f64 (fma.f64 z y x) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ x (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* y z) x) (fma.f64 y (/.f64 (*.f64 z x) x) x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* z (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y)))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (neg.f64 y)) (-.f64 (*.f64 z #s(literal 2/45 binary64)) (fma.f64 z #s(literal 1/36 binary64) (*.f64 z #s(literal 1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (fma.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) z) (*.f64 y z))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 y (neg.f64 y)) (fma.f64 z z (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) #s(literal 0 binary64)) y)))) (fma.f64 y z x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 y z)) 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 #s(literal 1 binary64) (/.f64 (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)))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (*.f64 z (*.f64 z z))) (fma.f64 z (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))))) 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)))) |
| Outputs |
|---|
#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 (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
2 calls:
| 81.0ms | x |
| 14.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.2% | 3 | z |
| 82.1% | 3 | x |
Compiled 8 to 6 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 y (neg.f64 z)))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y #s(approx (- (* y (* x -1/2)) z) (neg.f64 z)) x)) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) x)))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 (*.f64 y y) (*.f64 x #s(literal -1/2 binary64))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y #s(approx (- (* y (* x -1/2)) z) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 y (-.f64 (/.f64 x y) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 z (-.f64 (/.f64 x z) y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* z (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y)))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 z #s(approx (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y))) (*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)) (fma.f64 y z 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 (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #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))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (/.f64 z (neg.f64 y))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) (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)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y))))) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 z (*.f64 z (*.f64 y (neg.f64 y))))) (fma.f64 y z x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) 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 x (*.f64 z y)) (*.f64 (fma.f64 z y x) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ x (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* y z) x) (fma.f64 y (/.f64 (*.f64 z x) x) x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* z (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y)))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (neg.f64 y)) (-.f64 (*.f64 z #s(literal 2/45 binary64)) (fma.f64 z #s(literal 1/36 binary64) (*.f64 z #s(literal 1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (fma.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) z) (*.f64 y z))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 y (neg.f64 y)) (fma.f64 z z (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) #s(literal 0 binary64)) y)))) (fma.f64 y z x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 y z)) 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 #s(literal 1 binary64) (/.f64 (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)))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (*.f64 z (*.f64 z z))) (fma.f64 z (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))))) 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 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) (neg.f64 z)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
3 calls:
| 78.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 14.0ms | x |
| 14.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.4% | 3 | y |
| 66.8% | 3 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 71.5% | 3 | x |
Compiled 20 to 14 computations (30% 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 y (neg.f64 z)))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y #s(approx (- (* y (* x -1/2)) z) (neg.f64 z)) x)) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) x)))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 (*.f64 y y) (*.f64 x #s(literal -1/2 binary64))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y #s(approx (- (* y (* x -1/2)) z) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 y (-.f64 (/.f64 x y) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 z (-.f64 (/.f64 x z) y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* z (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y)))) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (*.f64 z #s(approx (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y))) (*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)) (fma.f64 y z 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 (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #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))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (/.f64 z (neg.f64 y))))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) (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)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y y))))) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 z (*.f64 z (*.f64 y (neg.f64 y))))) (fma.f64 y z x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* y z) x) (*.f64 z y)) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) 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 x (*.f64 z y)) (*.f64 (fma.f64 z y x) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ x (cos y))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 #s(approx (+ (* y z) x) (fma.f64 y (/.f64 (*.f64 z x) x) x)) (-.f64 x (*.f64 y z))) (fma.f64 y z x))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (* z (/ (+ (* -1/2 (cos (* y -2))) 1/2) (neg (sin y)))) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (neg.f64 y)) (-.f64 (*.f64 z #s(literal 2/45 binary64)) (fma.f64 z #s(literal 1/36 binary64) (*.f64 z #s(literal 1/120 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) #s(approx (+ (* y z) x) (fma.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) z) (*.f64 y z))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 (*.f64 y (neg.f64 y)) (fma.f64 z z (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) #s(literal 0 binary64)) y)))) (fma.f64 y z x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* z y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (/.f64 (*.f64 z z) x)) (*.f64 y z)) 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 #s(literal 1 binary64) (/.f64 (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)))))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 y (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (*.f64 z (*.f64 z z))) (fma.f64 z (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (*.f64 y x))))) x)) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
4 calls:
| 57.0ms | y |
| 20.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 14.0ms | z |
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.3% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 53.3% | 1 | x |
| 53.3% | 1 | z |
| 53.3% | 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 y (neg.f64 z)))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
4 calls:
| 2.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.3% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 53.3% | 1 | y |
| 53.3% | 1 | x |
| 53.3% | 1 | z |
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 y (neg.f64 z)))) |
#s(approx (/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* y (- (* y (* x -1/2)) z)) x) (*.f64 z (neg.f64 y)))) |
| Outputs |
|---|
#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 y (neg.f64 z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
4 calls:
| 41.0ms | x |
| 2.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | z |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.9% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 39.9% | 1 | y |
| 46.3% | 3 | x |
| 43.1% | 2 | z |
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 | z |
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.9% | 1 | y |
| 39.9% | 1 | z |
| 39.9% | 1 | x |
Compiled 12 to 9 computations (25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 2.9163812326923743e+23 | 2.426975769459949e+26 |
| 2.0ms | -1.9804666425040857e+47 | -1.8003385516158373e+47 |
| 29.0ms | 144× | 0 | valid |
Compiled 240 to 167 computations (30.4% saved)
ival-cos: 4.0ms (42.7% of total)ival-sin: 3.0ms (32% of total)ival-mult: 2.0ms (21.4% of total)ival-sub: 1.0ms (10.7% 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 |
|---|---|---|
| 10.0ms | 2.2315571754435673e-139 | 5.8894432834772016e-139 |
| 45.0ms | -4.515717005271627e-37 | -1.6514595811578662e-37 |
| 13.0ms | 160× | 0 | valid |
Compiled 205 to 144 computations (29.8% saved)
ival-cos: 3.0ms (31.9% of total)ival-sin: 3.0ms (31.9% of total)ival-mult: 2.0ms (21.3% of total)ival-sub: 1.0ms (10.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 4.2287225423087196e-7 | 3378.860185238779 |
| 43.0ms | -13.506227614094588 | -1.5363594875748794e-36 |
| 47.0ms | 336× | 0 | valid |
Compiled 624 to 392 computations (37.2% saved)
ival-cos: 29.0ms (75.5% of total)ival-mult: 4.0ms (10.4% of total)ival-sin: 3.0ms (7.8% of total)ival-sub: 1.0ms (2.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 6.197439937800707e-174 | 1.3063061026863959e-163 |
| 13.0ms | -1.049218154712424e-67 | -1.1013109749091788e-69 |
| 38.0ms | 272× | 0 | valid |
Compiled 338 to 218 computations (35.5% saved)
ival-cos: 6.0ms (37.4% of total)ival-sin: 5.0ms (31.1% of total)ival-mult: 4.0ms (24.9% of total)ival-sub: 1.0ms (6.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 24× | *-commutative_binary64 |
| 14× | +-commutative_binary64 |
| 14× | sub-neg_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | cancel-sign-sub-inv_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 277 |
| 1 | 91 | 277 |
| 2 | 109 | 277 |
| 3 | 117 | 277 |
| 4 | 121 | 277 |
| 5 | 122 | 277 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 x #s(literal -185000000000000020280926725530098764975649587200 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 240000000000000004563402752 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))) |
(if (<=.f64 x #s(literal -4789048565205903/23945242826029513411849172299223580994042798784118784 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 3888264299683353/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 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 -1116892707587883/18014398509481984 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 8106479329266893/36028797018963968 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) (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))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
(if (<=.f64 x #s(literal -4351578318585633/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 8947392945399641/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))))) |
#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 x #s(literal -185000000000000020280926725530098764975649587200 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 240000000000000004563402752 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))) |
(if (<=.f64 x #s(literal -4789048565205903/23945242826029513411849172299223580994042798784118784 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 3888264299683353/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 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 x #s(literal -4789048565205903/23945242826029513411849172299223580994042798784118784 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 3888264299683353/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 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 -1116892707587883/18014398509481984 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 8106479329266893/36028797018963968 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) (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))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z))) |
(if (<=.f64 x #s(literal -4351578318585633/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 8947392945399641/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
| 12 936× | lower-fma.f64 |
| 12 936× | lower-fma.f32 |
| 10 986× | lower-fma.f64 |
| 10 986× | lower-fma.f32 |
| 10 152× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 222 |
| 0 | 67 | 174 |
| 1 | 266 | 136 |
| 2 | 2186 | 124 |
| 0 | 9041 | 124 |
| 0 | 112 | 686 |
| 1 | 339 | 681 |
| 2 | 933 | 669 |
| 3 | 2680 | 663 |
| 4 | 4621 | 663 |
| 5 | 7358 | 663 |
| 0 | 8230 | 636 |
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 33 | 21 |
| 2 | 210 | 21 |
| 3 | 1964 | 21 |
| 0 | 8379 | 21 |
| 0 | 668 | 8178 |
| 1 | 2252 | 7964 |
| 0 | 8406 | 7670 |
| 0 | 656 | 8331 |
| 1 | 2226 | 7931 |
| 2 | 7840 | 7881 |
| 0 | 8118 | 7457 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 292 to 151 computations (48.3% saved)
Compiled 306 to 118 computations (61.4% saved)
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