
Time bar (total: 12.4s)
| 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)
| 803.0ms | 8 253× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
| 0.0ms | 1× | 2 | valid |
ival-cos: 202.0ms (36.9% of total)ival-sin: 193.0ms (35.2% of total)ival-mult: 61.0ms (11.1% of total)ival-add: 45.0ms (8.2% of total)ival-sub: 36.0ms (6.6% of total)ival-true: 7.0ms (1.3% of total)ival-assert: 3.0ms (0.5% of total)adjust: 0.0ms (0% of total)| 1× | egg-herbie |
| 400× | lower-fma.f64 |
| 400× | lower-fma.f32 |
| 358× | sub-neg |
| 352× | cancel-sign-sub-inv |
| 302× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 90 |
| 1 | 101 | 84 |
| 2 | 248 | 83 |
| 3 | 583 | 83 |
| 4 | 1151 | 83 |
| 5 | 1530 | 83 |
| 6 | 1814 | 83 |
| 7 | 2069 | 83 |
| 8 | 2092 | 83 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 22 | 9 |
| 2 | 42 | 9 |
| 3 | 66 | 9 |
| 4 | 97 | 9 |
| 5 | 151 | 9 |
| 6 | 264 | 9 |
| 7 | 398 | 9 |
| 8 | 480 | 9 |
| 9 | 528 | 9 |
| 10 | 558 | 9 |
| 0 | 558 | 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))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 x (cos.f64 y)) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.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 |
| 48.0ms | 512× | 0 | valid |
Compiled 76 to 36 computations (52.6% saved)
ival-sin: 12.0ms (38.1% of total)ival-cos: 11.0ms (34.9% of total)ival-mult: 4.0ms (12.7% of total)ival-add: 3.0ms (9.5% of total)ival-sub: 2.0ms (6.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (-.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))) |
| 400× | lower-fma.f64 |
| 400× | lower-fma.f32 |
| 160× | lower-*.f32 |
| 158× | lower-*.f64 |
| 120× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 22 | 24 |
| 2 | 42 | 24 |
| 3 | 66 | 24 |
| 4 | 97 | 24 |
| 5 | 151 | 24 |
| 6 | 264 | 24 |
| 7 | 398 | 24 |
| 8 | 480 | 24 |
| 9 | 528 | 24 |
| 10 | 558 | 24 |
| 0 | 558 | 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 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+.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% | (sin.f64 y) |
| ✓ | accuracy | 100.0% | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| 24.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-cos: 6.0ms (40% of total)ival-sin: 5.0ms (33.3% of total)ival-mult: 2.0ms (13.3% of total)ival-sub: 1.0ms (6.7% of total)ival-add: 1.0ms (6.7% 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 (- (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> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (+ x (cos y))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (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 (cos y)> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt x> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))> |
#<alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))> |
#<alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))> |
#<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 | x | @ | 0 | (- (+ x (cos y)) (* z (sin y))) |
| 1.0ms | z | @ | 0 | (* z (sin y)) |
| 1.0ms | y | @ | inf | (- (+ x (cos y)) (* z (sin y))) |
| 0.0ms | z | @ | 0 | (- (+ x (cos y)) (* z (sin y))) |
| 0.0ms | y | @ | -inf | (- (+ x (cos y)) (* z (sin y))) |
| 1× | egg-herbie |
| 12 396× | lower-fma.f64 |
| 12 396× | lower-fma.f32 |
| 3 376× | lower-*.f64 |
| 3 376× | lower-*.f32 |
| 2 858× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 118 | 674 |
| 1 | 334 | 669 |
| 2 | 869 | 661 |
| 3 | 2601 | 657 |
| 4 | 5310 | 657 |
| 5 | 7449 | 657 |
| 0 | 8079 | 629 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ 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))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (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))))) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(+ 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 |
|---|
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (+ x (* -1 (* y z)))) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.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 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(cos y) |
(cos.f64 y) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
x |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (+.f64 x #s(literal 1 binary64))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+.f64 x (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 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(+.f64 x (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))) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
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 y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 (*.f64 y z) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 y (fma.f64 (*.f64 y (*.f64 y z)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 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 (*.f64 y y) #s(literal -1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
| 1× | batch-egg-rewrite |
| 4 620× | lower-*.f32 |
| 4 618× | lower-*.f64 |
| 4 548× | lower-fma.f64 |
| 4 548× | lower-fma.f32 |
| 2 418× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 47 | 21 |
| 2 | 388 | 21 |
| 3 | 5630 | 21 |
| 0 | 8225 | 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 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x (cos.f64 y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(+.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))) |
(+.f64 (fma.f64 (sin.f64 y) (neg.f64 z) x) (cos.f64 y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) #s(literal -1 binary64))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.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 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(-.f64 (+.f64 (+.f64 x (cos.f64 y)) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) |
(-.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y)))) |
(fma.f64 (+.f64 x (cos.f64 y)) (*.f64 (-.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y)))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (+.f64 x (cos.f64 y)) (/.f64 (-.f64 x (cos.f64 y)) (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (+.f64 x (cos.f64 y)) (/.f64 (+.f64 x (cos.f64 y)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))) |
(fma.f64 (+.f64 x (cos.f64 y)) (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 x (cos.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) |
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64) (+.f64 x (cos.f64 y))) |
(fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (*.f64 (+.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (/.f64 (+.f64 x (cos.f64 y)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))) |
(fma.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (/.f64 (+.f64 x (cos.f64 y)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) |
(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) (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(fma.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (neg.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) (neg.f64 (-.f64 x (cos.f64 y)))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) x) |
(fma.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) |
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x) |
(fma.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3/2 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y))) |
(fma.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) z (+.f64 x (cos.f64 y))) |
(fma.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 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (-.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.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 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (+.f64 x (cos.f64 y)) (*.f64 x x)) (*.f64 (sin.f64 y) (neg.f64 z))) |
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(/.f64 (*.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 x (cos.f64 y))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 x (cos.f64 y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (cos.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (cos.f64 y) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x (cos.f64 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (-.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y)))) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(pow.f64 (+.f64 x (cos.f64 y)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (cos.f64 y) x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (+.f64 x (cos.f64 y)) (*.f64 (-.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))))) |
(*.f64 (+.f64 x (cos.f64 y)) (/.f64 (-.f64 x (cos.f64 y)) (-.f64 x (cos.f64 y)))) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) |
(*.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (*.f64 (+.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))) |
(*.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (/.f64 (+.f64 x (cos.f64 y)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x 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) (-.f64 x (cos.f64 y)))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))) |
(*.f64 (neg.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) (neg.f64 (-.f64 x (cos.f64 y))))) |
(*.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.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 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (+.f64 x (cos.f64 y))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (-.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (cos.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 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (+.f64 x (cos.f64 y)) (*.f64 x x))) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
Compiled 7 525 to 622 computations (91.7% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 276 | 15 | 291 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 277 | 15 | 292 |
| Status | Accuracy | Program |
|---|---|---|
| 71.3% | (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x) | |
| 99.9% | (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) | |
| 53.2% | (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) (*.f64 x x))) | |
| ▶ | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
| 57.1% | (-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))) | |
| ▶ | 89.6% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 62.1% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| ▶ | 99.9% | (*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))) |
| 99.7% | (*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))) | |
| 55.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) | |
| 63.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) | |
| 71.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) | |
| ▶ | 61.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
| ▶ | 54.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))) |
| 29.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) |
Compiled 582 to 310 computations (46.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
| ✓ | cost-diff | 0 | (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
| ✓ | cost-diff | 0 | (*.f64 z (sin.f64 y)) |
| ✓ | cost-diff | 0 | #s(approx (cos y) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x) |
| ✓ | cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 z (sin.f64 y) (cos.f64 y)) |
| ✓ | cost-diff | 0 | (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) |
| ✓ | cost-diff | 27776 | (*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))) |
| 11 720× | lower-fma.f32 |
| 11 712× | lower-fma.f64 |
| 3 660× | lower-*.f32 |
| 3 654× | lower-*.f64 |
| 2 582× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 267 |
| 0 | 58 | 317 |
| 1 | 114 | 317 |
| 2 | 285 | 317 |
| 3 | 759 | 245 |
| 4 | 2729 | 245 |
| 5 | 4791 | 245 |
| 0 | 8030 | 243 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))) |
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) |
x |
(fma.f64 z (sin.f64 y) (cos.f64 y)) |
z |
(sin.f64 y) |
y |
(cos.f64 y) |
(/.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
#s(literal 1 binary64) |
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x) |
y |
(fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) |
(fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(*.f64 z #s(literal 1/6 binary64)) |
z |
#s(literal 1/6 binary64) |
#s(literal -1/2 binary64) |
(neg.f64 z) |
x |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
x |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
| Outputs |
|---|
(*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) |
x |
(fma.f64 z (sin.f64 y) (cos.f64 y)) |
z |
(sin.f64 y) |
y |
(cos.f64 y) |
(/.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) z) #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
(-.f64 x (fma.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) z) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x) |
(fma.f64 (fma.f64 y (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) z) (neg.f64 y) x) |
y |
(fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) |
(fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) (neg.f64 z)) |
(fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) |
(*.f64 z #s(literal 1/6 binary64)) |
z |
#s(literal 1/6 binary64) |
#s(literal -1/2 binary64) |
(neg.f64 z) |
x |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
x |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 100.0% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| ✓ | accuracy | 55.4% | #s(approx (cos y) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 z #s(literal 1/6 binary64)) |
| ✓ | accuracy | 54.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 61.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))) |
| ✓ | accuracy | 99.9% | (fma.f64 z (sin.f64 y) (cos.f64 y)) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| 90.0ms | 256× | 0 | valid |
Compiled 257 to 31 computations (87.9% saved)
ival-mult: 29.0ms (41.3% of total)ival-add: 17.0ms (24.2% of total)ival-sin: 7.0ms (10% of total)ival-div: 5.0ms (7.1% of total)ival-cos: 5.0ms (7.1% of total)const: 4.0ms (5.7% of total)ival-sub: 2.0ms (2.8% of total)ival-neg: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))> |
#<alt (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))> |
#<alt (fma.f64 z (sin.f64 y) (cos.f64 y))> |
#<alt (sin.f64 y)> |
#<alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))> |
#<alt (+.f64 x #s(literal 1 binary64))> |
#<alt (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))> |
#<alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)))> |
#<alt (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)> |
#<alt (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z))> |
#<alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))> |
#<alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))> |
#<alt #s(approx (cos y) #s(literal 1 binary64))> |
#<alt (*.f64 z (sin.f64 y))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))> |
#<alt (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))> |
#<alt (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))> |
#<alt (/.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))> |
#<alt (*.f64 z #s(literal 1/6 binary64))> |
#<alt (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))> |
#<alt (cos.f64 y)> |
| Outputs |
|---|
#<alt (- (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> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (+ x (cos y))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (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 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) 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 (+ (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> |
#<alt (* x (+ 1 (+ (/ (cos y) x) (/ (* z (sin y)) x))))> |
#<alt (* x (+ 1 (+ (/ (cos y) x) (/ (* z (sin y)) x))))> |
#<alt (* x (+ 1 (+ (/ (cos y) x) (/ (* z (sin y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* z (sin y))) x)) 1)))> |
#<alt (+ x (cos y))> |
#<alt (+ x (+ (cos y) (* z (sin y))))> |
#<alt (+ x (+ (cos y) (* z (sin y))))> |
#<alt (+ x (+ (cos y) (* z (sin y))))> |
#<alt (* z (sin y))> |
#<alt (* z (+ (sin y) (+ (/ x z) (/ (cos y) z))))> |
#<alt (* z (+ (sin y) (+ (/ x z) (/ (cos y) z))))> |
#<alt (* z (+ (sin y) (+ (/ x z) (/ (cos y) z))))> |
#<alt (* z (sin y))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ x (cos y)) z)))))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* y z)))> |
#<alt (+ 1 (+ x (* y (+ z (* -1/2 y)))))> |
#<alt (+ 1 (+ x (* y (+ z (* y (- (* -1/6 (* y z)) 1/2))))))> |
#<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 (cos y)> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (* z (+ (sin y) (/ (cos y) z)))> |
#<alt (* z (+ (sin y) (/ (cos y) z)))> |
#<alt (* z (+ (sin y) (/ (cos y) z)))> |
#<alt (* z (sin y))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (cos y) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (cos y) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (cos y) z)))))> |
#<alt 1> |
#<alt (+ 1 (* y z))> |
#<alt (+ 1 (* y (+ z (* -1/2 y))))> |
#<alt (+ 1 (* y (+ z (* y (- (* -1/6 (* y z)) 1/2)))))> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (- (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> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (+ x (cos y))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (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 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))> |
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* (pow y 3) (- (* 1/6 z) (* 1/2 (/ 1 y))))> |
#<alt (* (pow y 3) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y))))> |
#<alt (* (pow y 3) (- (+ (* 1/6 z) (+ (/ 1 (pow y 3)) (/ x (pow y 3)))) (+ (* 1/2 (/ 1 y)) (/ z (pow y 2)))))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ 1 y)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ z y)) 1/2) y)) (* -1/6 z))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2) y)) (* -1/6 z))))> |
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))> |
#<alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))))> |
#<alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))))> |
#<alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))))> |
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z)))))> |
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z)))))> |
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z)))))> |
#<alt (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))> |
#<alt (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1)))> |
#<alt (- (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> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (+ x (cos y))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* y (+ (* -1 z) (* -1/2 y))))> |
#<alt (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* (pow y 3) (- (* 1/6 z) (* 1/2 (/ 1 y))))> |
#<alt (* (pow y 3) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y))))> |
#<alt (* (pow y 3) (- (+ (* 1/6 z) (/ x (pow y 3))) (+ (* 1/2 (/ 1 y)) (/ z (pow y 2)))))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ 1 y)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ z y)) 1/2) y)) (* -1/6 z))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ (+ z (* -1 (/ x y))) y)) 1/2) y)) (* -1/6 z))))> |
#<alt (+ x (* -1/2 (pow y 2)))> |
#<alt (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))> |
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#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z))))> |
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z))))> |
#<alt (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (pow y 2))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (pow y 2))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (pow y 2))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))> |
#<alt (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))> |
#<alt (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))> |
#<alt (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))> |
#<alt (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))> |
#<alt (* x (+ 1 (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))> |
#<alt (* x (+ 1 (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)) 1)))> |
#<alt (* -1 z)> |
#<alt (- (* -1/2 y) z)> |
#<alt (- (* y (- (* 1/6 (* y z)) 1/2)) z)> |
#<alt (- (* y (- (* 1/6 (* y z)) 1/2)) z)> |
#<alt (* 1/6 (* (pow y 2) z))> |
#<alt (* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y))))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y))))> |
#<alt (* 1/6 (* (pow y 2) z))> |
#<alt (* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ 1/2 (/ z y)) y)) (* 1/6 z)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ 1/2 (/ z y)) y)) (* 1/6 z)))> |
#<alt (* -1/2 y)> |
#<alt (+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* z (- (* 1/6 (pow y 2)) 1))> |
#<alt (* z (- (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) 1))> |
#<alt (* z (- (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) 1))> |
#<alt (* z (- (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) 1))> |
#<alt (* -1 (* z (+ 1 (* -1/6 (pow y 2)))))> |
#<alt (* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z))))))> |
#<alt (* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z))))))> |
#<alt (* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z))))))> |
#<alt (- (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> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (+ x (cos y))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (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 (cos y)> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt x> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt x> |
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#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
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#<alt (+ 1 x)> |
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#<alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))> |
#<alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))> |
#<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> |
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#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (* z (sin y))> |
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#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* 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 (- (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> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
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#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<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)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (* -1 (* z (sin y)))> |
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#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (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 (- (cos y) (* z (sin y))))> |
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#<alt (+ (* x (- (/ x (pow (- (cos y) (* z (sin y))) 3)) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y)))))> |
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 4))) (/ 1 (pow (- (cos y) (* z (sin y))) 3)))) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y)))))> |
#<alt (/ 1 x)> |
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#<alt (/ (- (+ 1 (+ (/ (* z (sin y)) x) (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) (pow x 3)))) (+ (/ (cos y) x) (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2)))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (* -1 (/ (- (* z (sin y)) (cos y)) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) x)) (* z (sin y))) (cos y)) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) x)) (* -1 (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))))) x)) (* z (sin y))) (cos y)) x)) 1) x))> |
#<alt (/ 1 (+ 1 x))> |
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#<alt (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x))) (+ (* -1/2 (/ z (pow (+ 1 x) 3))) (* 1/6 (/ z (pow (+ 1 x) 2))))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))> |
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))> |
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#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))> |
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#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))> |
#<alt (/ 1 (+ x (cos y)))> |
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#<alt (+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))> |
#<alt (/ -1 (* z (sin y)))> |
#<alt (/ (- (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)> |
#<alt (/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z)> |
#<alt (/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (+ (/ (cos y) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y))))))) z)> |
#<alt (/ -1 (* z (sin y)))> |
#<alt (* -1 (/ (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2))))) z))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (sin y)))) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (pow (sin y) 2))) (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (sin y)))) z)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))> |
#<alt (- (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> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (+ x (cos y))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (* y z)))> |
#<alt (+ 1 (* y (- (* -1/2 y) z)))> |
#<alt (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (cos y)> |
#<alt (+ (cos y) (* -1 (* z (sin y))))> |
#<alt (+ (cos y) (* -1 (* z (sin y))))> |
#<alt (+ (cos y) (* -1 (* z (sin y))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (/ (cos y) z) (sin y)))> |
#<alt (* z (- (/ (cos y) z) (sin y)))> |
#<alt (* z (- (/ (cos y) z) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))> |
#<alt (/ (- (cos y) (* z (sin y))) (+ (cos y) (* z (sin y))))> |
#<alt (- (+ (* x (- (+ (/ 1 (+ (cos y) (* z (sin y)))) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (+ (cos y) (* z (sin y))))) (/ (* z (sin y)) (+ (cos y) (* z (sin y)))))> |
#<alt (- (+ (* x (- (+ (* x (- (/ (cos y) (pow (+ (cos y) (* z (sin y))) 3)) (+ (/ 1 (pow (+ (cos y) (* z (sin y))) 2)) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 3))))) (+ (/ 1 (+ (cos y) (* z (sin y)))) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (+ (cos y) (* z (sin y))))) (/ (* z (sin y)) (+ (cos y) (* z (sin y)))))> |
#<alt (- (+ (* x (- (+ (* x (- (+ (* x (- (+ (/ 1 (pow (+ (cos y) (* z (sin y))) 3)) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 4))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 4)))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 3))) (+ (/ 1 (pow (+ (cos y) (* z (sin y))) 2)) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 3))))) (+ (/ 1 (+ (cos y) (* z (sin y)))) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (+ (cos y) (* z (sin y))))) (/ (* z (sin y)) (+ (cos y) (* z (sin y)))))> |
#<alt 1> |
#<alt (+ 1 (* -2 (/ (* z (sin y)) x)))> |
#<alt (- (+ 1 (* 2 (/ (* z (* (sin y) (+ (cos y) (* z (sin y))))) (pow x 2)))) (* 2 (/ (* z (sin y)) x)))> |
#<alt (- (+ 1 (* -2 (/ (* z (* (sin y) (pow (+ (cos y) (* z (sin y))) 2))) (pow x 3)))) (+ (* -2 (/ (* z (* (sin y) (+ (cos y) (* z (sin y))))) (pow x 2))) (* 2 (/ (* z (sin y)) x))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (- (* -1 (- (cos y) (* z (sin y)))) (* -1 (+ (cos y) (* z (sin y))))) x)))> |
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (- (cos y) (* z (sin y)))) (* -1 (/ (* (+ (cos y) (* z (sin y))) (- (* -1 (- (cos y) (* z (sin y)))) (* -1 (+ (cos y) (* z (sin y)))))) x))) (* -1 (+ (cos y) (* z (sin y))))) x)))> |
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (- (cos y) (* z (sin y)))) (* -1 (/ (- (* -1 (/ (* (pow (+ (cos y) (* z (sin y))) 2) (- (* -1 (- (cos y) (* z (sin y)))) (* -1 (+ (cos y) (* z (sin y)))))) x)) (* -1 (* (+ (cos y) (* z (sin y))) (- (* -1 (- (cos y) (* z (sin y)))) (* -1 (+ (cos y) (* z (sin y)))))))) x))) (* -1 (+ (cos y) (* z (sin y))))) x)))> |
#<alt 1> |
#<alt (+ 1 (* y (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))))> |
#<alt (+ 1 (* y (- (+ (* -1 (/ z (+ 1 x))) (* y (- (* 1/2 (/ 1 (+ 1 x))) (+ (* 1/2 (/ 1 (+ 1 x))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x)))))) (/ z (+ 1 x)))))> |
#<alt (+ 1 (* y (- (+ (* -1 (/ z (+ 1 x))) (* y (- (* y (- (* 1/6 (/ z (+ 1 x))) (+ (* -1/2 (/ (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x))) (+ 1 x))) (+ (* -1/6 (/ z (+ 1 x))) (/ (* z (- (* 1/2 (/ 1 (+ 1 x))) (+ (* 1/2 (/ 1 (+ 1 x))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x))))) (+ 1 x)))))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x))))) (/ z (+ 1 x)))))> |
#<alt (/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))> |
#<alt 1> |
#<alt (+ 1 (* z (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y))))))> |
#<alt (+ 1 (* z (- (+ (* -1 (/ (sin y) (+ x (cos y)))) (* -1 (/ (* z (* (sin y) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (+ x (cos y))))) (/ (sin y) (+ x (cos y))))))> |
#<alt (+ 1 (* z (- (+ (* -1 (/ (sin y) (+ x (cos y)))) (* z (- (/ (* z (* (pow (sin y) 2) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (pow (+ x (cos y)) 2)) (/ (* (sin y) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y))))) (+ x (cos y)))))) (/ (sin y) (+ x (cos y))))))> |
#<alt -1> |
#<alt (- (+ (/ x (* z (sin y))) (/ (cos y) (* z (sin y)))) (+ 1 (* -1 (/ (+ x (cos y)) (* z (sin y))))))> |
#<alt (- (+ (* -1 (/ (* (+ x (cos y)) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 2) (sin y)))) (+ (/ x (* z (sin y))) (/ (cos y) (* z (sin y))))) (+ 1 (* -1 (/ (+ x (cos y)) (* z (sin y))))))> |
#<alt (- (+ (/ x (* z (sin y))) (+ (/ (cos y) (* z (sin y))) (/ (* (pow (+ x (cos y)) 2) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 3) (pow (sin y) 2))))) (+ 1 (+ (* -1 (/ (+ x (cos y)) (* z (sin y)))) (/ (* (+ x (cos y)) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 2) (sin y))))))> |
#<alt -1> |
#<alt (- (* -1 (/ (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1)> |
#<alt (- (* -1 (/ (- (+ (* -1 (/ (* (+ x (cos y)) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (* z (sin y)))) (* -1 (/ (+ x (cos y)) (sin y)))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1)> |
#<alt (- (* -1 (/ (- (+ (* -1 (/ (+ x (cos y)) (sin y))) (* -1 (/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (* z (pow (sin y) 2)))) (* -1 (/ (* (+ x (cos y)) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (sin y)))) z))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt -1/2> |
#<alt (- (* 1/6 (* y z)) 1/2)> |
#<alt (- (* 1/6 (* y z)) 1/2)> |
#<alt (- (* 1/6 (* y z)) 1/2)> |
#<alt (* 1/6 (* y z))> |
#<alt (* y (- (* 1/6 z) (* 1/2 (/ 1 y))))> |
#<alt (* y (- (* 1/6 z) (* 1/2 (/ 1 y))))> |
#<alt (* y (- (* 1/6 z) (* 1/2 (/ 1 y))))> |
#<alt (* 1/6 (* y z))> |
#<alt (* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y)))))> |
#<alt (* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y)))))> |
#<alt (* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y)))))> |
#<alt -1/2> |
#<alt (- (* 1/6 (* y z)) 1/2)> |
#<alt (- (* 1/6 (* y z)) 1/2)> |
#<alt (- (* 1/6 (* y z)) 1/2)> |
#<alt (* 1/6 (* y z))> |
#<alt (* z (- (* 1/6 y) (* 1/2 (/ 1 z))))> |
#<alt (* z (- (* 1/6 y) (* 1/2 (/ 1 z))))> |
#<alt (* z (- (* 1/6 y) (* 1/2 (/ 1 z))))> |
#<alt (* 1/6 (* y z))> |
#<alt (* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z)))))> |
#<alt (* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z)))))> |
#<alt (* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 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)> |
150 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | (/ (+ x (- (cos y) (* z (sin y)))) (+ x (+ (* z (sin y)) (cos y)))) |
| 2.0ms | z | @ | inf | (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) |
| 1.0ms | z | @ | 0 | (/ (+ x (- (cos y) (* z (sin y)))) (+ x (+ (* z (sin y)) (cos y)))) |
| 1.0ms | x | @ | 0 | (/ (+ x (- (cos y) (* z (sin y)))) (+ x (+ (* z (sin y)) (cos y)))) |
| 1.0ms | y | @ | 0 | (/ 1 (+ x (- (cos y) (* z (sin y))))) |
| 1× | egg-herbie |
| 6 858× | lower-fma.f64 |
| 6 858× | lower-fma.f32 |
| 5 168× | lower-*.f64 |
| 5 168× | lower-*.f32 |
| 3 914× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 674 | 7397 |
| 1 | 2116 | 7132 |
| 2 | 6974 | 7039 |
| 0 | 8127 | 6708 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+ x (cos 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))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (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 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ (cos y) (* z (sin y))) |
(+ x (+ (cos y) (* z (sin y)))) |
(+ x (+ (cos y) (* z (sin y)))) |
(+ x (+ (cos y) (* z (sin y)))) |
x |
(* x (+ 1 (+ (/ (cos y) x) (/ (* z (sin y)) x)))) |
(* x (+ 1 (+ (/ (cos y) x) (/ (* z (sin y)) x)))) |
(* x (+ 1 (+ (/ (cos y) x) (/ (* z (sin y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* z (sin y))) x)) 1))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* z (sin y)))) |
(+ x (+ (cos y) (* z (sin y)))) |
(+ x (+ (cos y) (* z (sin y)))) |
(* z (sin y)) |
(* z (+ (sin y) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (sin y) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (sin y) (+ (/ x z) (/ (cos y) z)))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ x (cos y)) z))))) |
(+ 1 x) |
(+ 1 (+ x (* y z))) |
(+ 1 (+ x (* y (+ z (* -1/2 y))))) |
(+ 1 (+ x (* y (+ z (* y (- (* -1/6 (* y z)) 1/2)))))) |
(+ 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)))) |
(cos y) |
(+ (cos y) (* z (sin y))) |
(+ (cos y) (* z (sin y))) |
(+ (cos y) (* z (sin y))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (cos y) z))) |
(* z (+ (sin y) (/ (cos y) z))) |
(* z (+ (sin y) (/ (cos y) z))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (cos y) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (cos y) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (cos y) z))))) |
1 |
(+ 1 (* y z)) |
(+ 1 (* y (+ z (* -1/2 y)))) |
(+ 1 (* y (+ z (* y (- (* -1/6 (* y z)) 1/2))))) |
(+ (cos y) (* z (sin y))) |
(+ (cos y) (* z (sin y))) |
(+ (cos y) (* z (sin y))) |
(+ (cos y) (* z (sin y))) |
(+ (cos y) (* z (sin y))) |
(+ (cos y) (* z (sin y))) |
(+ (cos y) (* z (sin y))) |
(+ (cos 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) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ 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))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (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 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(* 1/6 (* (pow y 3) z)) |
(* (pow y 3) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* (pow y 3) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y)))) |
(* (pow y 3) (- (+ (* 1/6 z) (+ (/ 1 (pow y 3)) (/ x (pow y 3)))) (+ (* 1/2 (/ 1 y)) (/ z (pow y 2))))) |
(* 1/6 (* (pow y 3) z)) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ z y)) 1/2) y)) (* -1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2) y)) (* -1/6 z)))) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) |
(+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) |
(+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z))))) |
(* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z))))) |
(* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z))))) |
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2))))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2))))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2))))))) |
(+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
x |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ 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))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (+ (* -1 z) (* -1/2 y)))) |
(+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))) |
(* 1/6 (* (pow y 3) z)) |
(* (pow y 3) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* (pow y 3) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y)))) |
(* (pow y 3) (- (+ (* 1/6 z) (/ x (pow y 3))) (+ (* 1/2 (/ 1 y)) (/ z (pow y 2))))) |
(* 1/6 (* (pow y 3) z)) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ z y)) 1/2) y)) (* -1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ (+ z (* -1 (/ x y))) y)) 1/2) y)) (* -1/6 z)))) |
(+ x (* -1/2 (pow y 2))) |
(+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))) |
(+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))) |
(+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))) |
(* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))) |
(* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))) |
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (pow y 2))) z)) (* y (+ 1 (* -1/6 (pow y 2))))))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (pow y 2))) z)) (* y (+ 1 (* -1/6 (pow y 2))))))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (pow y 2))) z)) (* y (+ 1 (* -1/6 (pow y 2))))))) |
(* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) |
(+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) |
(+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) |
(+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) |
x |
(* x (+ 1 (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))) |
(* x (+ 1 (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))) |
(* x (+ 1 (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))) |
x |
(* -1 (* x (- (* -1 (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)) 1))) |
(* -1 z) |
(- (* -1/2 y) z) |
(- (* y (- (* 1/6 (* y z)) 1/2)) z) |
(- (* y (- (* 1/6 (* y z)) 1/2)) z) |
(* 1/6 (* (pow y 2) z)) |
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* (pow y 2) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y)))) |
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1 |
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1 |
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1 |
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(* 1/6 z) |
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-1/2 |
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(- (* 1/6 (* y z)) 1/2) |
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(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
-1/2 |
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(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
| Outputs |
|---|
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 x (*.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 x (*.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 x (*.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) (neg.f64 x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* z (sin y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(* -1 (* z (sin y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (neg.f64 z)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (neg.f64 z)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (neg.f64 z)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (+ x (* -1 (* y z)))) |
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+.f64 x (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) (+.f64 x #s(literal 1 binary64))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ (cos y) (* z (sin y))) |
(fma.f64 z (sin.f64 y) (cos.f64 y)) |
(+ x (+ (cos y) (* z (sin y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) |
(+ x (+ (cos y) (* z (sin y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) |
(+ x (+ (cos y) (* z (sin y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) |
x |
(* x (+ 1 (+ (/ (cos y) x) (/ (* z (sin y)) x)))) |
(fma.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) x)) x) |
(* x (+ 1 (+ (/ (cos y) x) (/ (* z (sin y)) x)))) |
(fma.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) x)) x) |
(* x (+ 1 (+ (/ (cos y) x) (/ (* z (sin y)) x)))) |
(fma.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) x)) x) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x)) (neg.f64 x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* z (sin y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) |
(+ x (+ (cos y) (* z (sin y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) |
(+ x (+ (cos y) (* z (sin y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (+ (sin y) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 z (+.f64 (sin.f64 y) (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)))) |
(* z (+ (sin y) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 z (+.f64 (sin.f64 y) (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)))) |
(* z (+ (sin y) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 z (+.f64 (sin.f64 y) (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)))) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ x (cos y)) z))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) (neg.f64 z)) (sin.f64 y)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ x (cos y)) z))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) (neg.f64 z)) (sin.f64 y)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ x (cos y)) z))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) (neg.f64 z)) (sin.f64 y)) (neg.f64 z)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (+ x (* y z))) |
(+.f64 x (fma.f64 y z #s(literal 1 binary64))) |
(+ 1 (+ x (* y (+ z (* -1/2 y))))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) z) (+.f64 x #s(literal 1 binary64))) |
(+ 1 (+ x (* y (+ z (* y (- (* -1/6 (* y z)) 1/2)))))) |
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) z) #s(literal 1 binary64))) |
(+ x (+ (cos y) (* z (sin y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) |
(+ x (+ (cos y) (* z (sin y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) |
(+ x (+ (cos y) (* z (sin y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) |
(+ x (+ (cos y) (* z (sin y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) |
(+ x (+ (cos y) (* z (sin y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) |
(+ x (+ (cos y) (* z (sin y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) |
(+ x (+ (cos y) (* z (sin y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) |
(+ x (+ (cos y) (* z (sin y)))) |
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (* z (sin y))) |
(fma.f64 z (sin.f64 y) (cos.f64 y)) |
(+ (cos y) (* z (sin y))) |
(fma.f64 z (sin.f64 y) (cos.f64 y)) |
(+ (cos y) (* z (sin y))) |
(fma.f64 z (sin.f64 y) (cos.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (+ (sin y) (/ (cos y) z))) |
(*.f64 z (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z))) |
(* z (+ (sin y) (/ (cos y) z))) |
(*.f64 z (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z))) |
(* z (+ (sin y) (/ (cos y) z))) |
(*.f64 z (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z))) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (cos y) z))))) |
(*.f64 (-.f64 (neg.f64 (sin.f64 y)) (/.f64 (cos.f64 y) z)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (cos y) z))))) |
(*.f64 (-.f64 (neg.f64 (sin.f64 y)) (/.f64 (cos.f64 y) z)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (cos y) z))))) |
(*.f64 (-.f64 (neg.f64 (sin.f64 y)) (/.f64 (cos.f64 y) z)) (neg.f64 z)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y z)) |
(fma.f64 y z #s(literal 1 binary64)) |
(+ 1 (* y (+ z (* -1/2 y)))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) z) #s(literal 1 binary64)) |
(+ 1 (* y (+ z (* y (- (* -1/6 (* y z)) 1/2))))) |
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) |
(+ (cos y) (* z (sin y))) |
(fma.f64 z (sin.f64 y) (cos.f64 y)) |
(+ (cos y) (* z (sin y))) |
(fma.f64 z (sin.f64 y) (cos.f64 y)) |
(+ (cos y) (* z (sin y))) |
(fma.f64 z (sin.f64 y) (cos.f64 y)) |
(+ (cos y) (* z (sin y))) |
(fma.f64 z (sin.f64 y) (cos.f64 y)) |
(+ (cos y) (* z (sin y))) |
(fma.f64 z (sin.f64 y) (cos.f64 y)) |
(+ (cos y) (* z (sin y))) |
(fma.f64 z (sin.f64 y) (cos.f64 y)) |
(+ (cos y) (* z (sin y))) |
(fma.f64 z (sin.f64 y) (cos.f64 y)) |
(+ (cos y) (* z (sin y))) |
(fma.f64 z (sin.f64 y) (cos.f64 y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 x (*.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 x (*.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 x (*.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) (neg.f64 x)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (+ x (* -1 (* y z)))) |
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+.f64 x (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) (+.f64 x #s(literal 1 binary64))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* z (sin y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(* -1 (* z (sin y))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (neg.f64 z)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (neg.f64 z)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (neg.f64 z)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (+ x (* -1 (* y z)))) |
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+.f64 x (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64))) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) (+.f64 x #s(literal 1 binary64))) |
(* 1/6 (* (pow y 3) z)) |
(*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
(* (pow y 3) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y))) |
(* (pow y 3) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y)))) |
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(*.f64 y (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y))) |
(* y (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(*.f64 y (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y))) |
(* 1/6 (* y z)) |
(*.f64 z (*.f64 y #s(literal 1/6 binary64))) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(*.f64 (fma.f64 z #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 y)) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(*.f64 (fma.f64 z #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 y)) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(*.f64 (fma.f64 z #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 y)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/6 (* y z)) 1/2) |
(fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(- (* 1/6 (* y z)) 1/2) |
(fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(- (* 1/6 (* y z)) 1/2) |
(fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* 1/6 (* y z)) |
(*.f64 z (*.f64 y #s(literal 1/6 binary64))) |
(* z (- (* 1/6 y) (* 1/2 (/ 1 z)))) |
(*.f64 z (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z))) |
(* z (- (* 1/6 y) (* 1/2 (/ 1 z)))) |
(*.f64 z (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z))) |
(* z (- (* 1/6 y) (* 1/2 (/ 1 z)))) |
(*.f64 z (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z))) |
(* 1/6 (* y z)) |
(*.f64 z (*.f64 y #s(literal 1/6 binary64))) |
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z))))) |
(*.f64 (neg.f64 z) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z))) |
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z))))) |
(*.f64 (neg.f64 z) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z))) |
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z))))) |
(*.f64 (neg.f64 z) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
| 1× | batch-egg-rewrite |
| 4 378× | lower-/.f32 |
| 4 372× | lower-/.f64 |
| 4 086× | lower-*.f32 |
| 4 080× | lower-*.f64 |
| 2 918× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 216 |
| 0 | 58 | 248 |
| 1 | 270 | 194 |
| 2 | 2538 | 194 |
| 0 | 8448 | 194 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))) |
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) |
(fma.f64 z (sin.f64 y) (cos.f64 y)) |
(sin.f64 y) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))) |
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x) |
(fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 z (sin.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(/.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(*.f64 z #s(literal 1/6 binary64)) |
(fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(cos.f64 y) |
| Outputs |
|---|
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+.f64 x (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(+.f64 x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(+.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x (cos.f64 y))) |
(+.f64 (*.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) x) (*.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(+.f64 (*.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) x)) |
(+.f64 (*.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (fma.f64 z (sin.f64 y) x)) (*.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (cos.f64 y))) |
(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) x) |
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 z)))) |
(+.f64 (*.f64 x (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))) (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))) |
(+.f64 (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))) (*.f64 x (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))) |
(+.f64 (*.f64 (fma.f64 z (sin.f64 y) x) (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))) (*.f64 (cos.f64 y) (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))) |
(+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)) x) |
(+.f64 (*.f64 (+.f64 x (cos.f64 y)) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))) #s(literal 1 binary64))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (+.f64 x (cos.f64 y)) #s(literal 1 binary64)) (/.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (/.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)))) (/.f64 (/.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (/.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))))) |
(-.f64 (/.f64 (cos.f64 y) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (+.f64 x (cos.f64 y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 #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 2 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))) (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) (/.f64 (*.f64 x x) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))) (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))))) |
(fma.f64 x (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))) |
(fma.f64 x #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 x (cos.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) |
(fma.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (*.f64 x (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))) |
(fma.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64) x) |
(fma.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) x (*.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(fma.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (fma.f64 z (sin.f64 y) (cos.f64 y)) (*.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) x)) |
(fma.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (fma.f64 z (sin.f64 y) x) (*.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (cos.f64 y))) |
(fma.f64 (+.f64 x (cos.f64 y)) #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(fma.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 z)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(fma.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) |
(fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (*.f64 (sin.f64 y) (neg.f64 z))) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (neg.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))) (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))) (fma.f64 x x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) |
(/.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 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 (+.f64 x (cos.f64 y)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (*.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (*.f64 z (sin.f64 y)))) (pow.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))) (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))) |
(/.f64 (neg.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))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) #s(literal 1 binary64))) (neg.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))) (neg.f64 (fma.f64 x x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))))) |
(/.f64 (neg.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 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))) (neg.f64 (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))) (neg.f64 (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(pow.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))) |
(*.f64 (neg.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))) |
(*.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (-.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x) (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)))) (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (-.f64 (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(*.f64 z #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) z) |
(+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64)) (fma.f64 z (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 z (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64)) (-.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))))) |
(fma.f64 z (*.f64 #s(literal 1/6 binary64) y) #s(literal -1/2 binary64)) |
(fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 z #s(literal 1/6 binary64)) y #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) z #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z y) #s(literal -1/12 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z y) #s(literal -1/12 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64)) (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z y) #s(literal -1/12 binary64))))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 z y) #s(literal -1/12 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 z (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z y) #s(literal -1/12 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 z y) #s(literal -1/12 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 z (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64)) (fma.f64 z (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64))) (*.f64 (fma.f64 z (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 z (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) (fma.f64 z (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z y) #s(literal -1/12 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 z (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z y) #s(literal -1/12 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 z (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z y) #s(literal -1/12 binary64)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)))) |
(cos.f64 y) |
Compiled 81 212 to 4 297 computations (94.7% saved)
30 alts after pruning (29 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 296 | 27 | 2 323 |
| Fresh | 8 | 2 | 10 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 308 | 30 | 2 338 |
| Status | Accuracy | Program |
|---|---|---|
| 89.6% | (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) | |
| 63.3% | (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 47.1% | (/.f64 (-.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x))) | |
| 63.3% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 47.1% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)) (-.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) | |
| 58.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (fma.f64 z (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))) | |
| 26.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (+.f64 (/.f64 x (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z))) | |
| 38.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x))) | |
| 29.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) | |
| 57.4% | (-.f64 (/.f64 (*.f64 x x) (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))))) (/.f64 (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))))) | |
| 54.8% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) | |
| 62.1% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| ▶ | 99.7% | (*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)))) |
| 71.8% | #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 (cos.f64 y) x)) | |
| ▶ | 88.8% | #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) |
| 87.0% | #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (neg.f64 z))) | |
| 29.7% | #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z (neg.f64 (sin.f64 y)))) | |
| 42.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) | |
| 63.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) | |
| ✓ | 61.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
| 55.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(approx (+ (* y (* z 1/6)) -1/2) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) (neg.f64 z)) x))) | |
| 54.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(approx (+ (* y (* z 1/6)) -1/2) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))) (neg.f64 z)) x))) | |
| 45.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 (*.f64 y y) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))) x))) | |
| 46.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 y #s(literal -1/2 binary64))) x))) | |
| 24.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))))) | |
| ▶ | 42.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
| ▶ | 25.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
| ▶ | 46.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))) |
| 2.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)))) | |
| 11.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
Compiled 1 077 to 623 computations (42.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
| ✓ | cost-diff | 0 | (+.f64 x (*.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
| ✓ | cost-diff | 0 | #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) |
| ✓ | cost-diff | 1024 | (*.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) |
| ✓ | cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))) |
| ✓ | cost-diff | 384 | (+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)) |
| ✓ | cost-diff | 640 | (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) |
| ✓ | cost-diff | 1088 | (*.f64 z (+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
| ✓ | cost-diff | 1408 | (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
| ✓ | cost-diff | 0 | #s(approx (+ x 1) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 z (sin.f64 y) (cos.f64 y)) |
| ✓ | cost-diff | 0 | (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))) |
| ✓ | cost-diff | 27776 | (*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)))) |
| 8 366× | lower-fma.f32 |
| 8 352× | lower-fma.f64 |
| 2 648× | lower-*.f32 |
| 2 634× | lower-*.f64 |
| 2 542× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 451 |
| 0 | 98 | 470 |
| 1 | 218 | 414 |
| 2 | 539 | 400 |
| 3 | 1788 | 380 |
| 4 | 5076 | 380 |
| 5 | 7551 | 380 |
| 0 | 8399 | 360 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)))) |
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) |
x |
(fma.f64 z (sin.f64 y) (cos.f64 y)) |
z |
(sin.f64 y) |
y |
(cos.f64 y) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) |
#s(literal 1 binary64) |
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) |
(fma.f64 z (sin.f64 y) x) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(neg.f64 z) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (+ x 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(+.f64 x #s(literal -1 binary64)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))) |
#s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))) |
(*.f64 z (+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))) |
z |
(+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) |
(*.f64 y y) |
y |
(/.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
(fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
#s(literal 1/6 binary64) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
(/.f64 x z) |
x |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) |
(+.f64 x (*.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
x |
(*.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) |
(/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
| Outputs |
|---|
(*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) |
x |
(fma.f64 z (sin.f64 y) (cos.f64 y)) |
z |
(sin.f64 y) |
y |
(cos.f64 y) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))) |
(/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) |
(/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
#s(literal 1 binary64) |
(+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) |
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) |
(fma.f64 z (sin.f64 y) x) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(fma.f64 (sin.f64 y) (neg.f64 z) x) |
(-.f64 x (*.f64 z (sin.f64 y))) |
(neg.f64 z) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (+ x 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(+.f64 x #s(literal 1 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(+.f64 x #s(literal -1 binary64)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (+.f64 x (fma.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
#s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))) |
#s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (+.f64 x (fma.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 z (+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))) |
(+.f64 x (fma.f64 z (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
z |
(+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z)) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 y y) |
y |
(/.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
(fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(fma.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
#s(literal 1/6 binary64) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
(/.f64 x z) |
x |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) |
(+.f64 x (*.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
x |
(*.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 99.8% | (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| ✓ | accuracy | 88.6% | (*.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) |
| ✓ | accuracy | 97.4% | (+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)) |
| ✓ | accuracy | 87.2% | (*.f64 z (+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))) |
| ✓ | accuracy | 85.4% | (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) |
| ✓ | accuracy | 54.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) |
| ✓ | accuracy | 80.0% | (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
| ✓ | accuracy | 61.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
| ✓ | accuracy | 61.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
| ✓ | accuracy | 56.4% | #s(approx (+ x 1) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 z (sin.f64 y) x) |
| ✓ | accuracy | 99.9% | (fma.f64 z (sin.f64 y) (cos.f64 y)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))) |
| 113.0ms | 256× | 0 | valid |
Compiled 377 to 58 computations (84.6% saved)
ival-add: 25.0ms (27.8% of total)ival-mult: 23.0ms (25.5% of total)ival-div: 16.0ms (17.8% of total)ival-sin: 11.0ms (12.2% of total)const: 6.0ms (6.7% of total)ival-cos: 5.0ms (5.6% of total)ival-sub: 2.0ms (2.2% of total)ival-neg: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)))> |
#<alt (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))> |
#<alt (fma.f64 z (sin.f64 y) (cos.f64 y))> |
#<alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))> |
#<alt #s(approx (+ x 1) #s(literal 1 binary64))> |
#<alt (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))> |
#<alt #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))> |
#<alt (fma.f64 x x #s(literal -1 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))> |
#<alt (*.f64 z (+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))> |
#<alt (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z)))> |
#<alt (+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))> |
#<alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))))> |
#<alt (*.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))> |
#<alt #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))))> |
#<alt (+.f64 x (*.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))> |
#<alt (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))> |
#<alt (fma.f64 z (sin.f64 y) x)> |
#<alt (+.f64 x #s(literal -1 binary64))> |
#<alt (*.f64 z (sin.f64 y))> |
#<alt (cos.f64 y)> |
| Outputs |
|---|
#<alt (+ (cos y) (* -1 (* z (sin y))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))> |
#<alt (* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))> |
#<alt (* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))> |
#<alt (+ x (cos y))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))> |
#<alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))> |
#<alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (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 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))> |
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt 1> |
#<alt (+ 1 (* y (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))))> |
#<alt (+ 1 (* y (- (+ (* -1 (/ z (+ 1 x))) (* y (- (* 1/2 (/ 1 (+ 1 x))) (+ (* 1/2 (/ 1 (+ 1 x))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x)))))) (/ z (+ 1 x)))))> |
#<alt (+ 1 (* y (- (+ (* -1 (/ z (+ 1 x))) (* y (- (* y (- (* 1/6 (/ z (+ 1 x))) (+ (* -1/2 (/ (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x))) (+ 1 x))) (+ (* -1/6 (/ z (+ 1 x))) (/ (* z (- (* 1/2 (/ 1 (+ 1 x))) (+ (* 1/2 (/ 1 (+ 1 x))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x))))) (+ 1 x)))))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x))))) (/ z (+ 1 x)))))> |
#<alt (/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y)))))> |
#<alt 1> |
#<alt (+ 1 (* z (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y))))))> |
#<alt (+ 1 (* z (- (+ (* -1 (/ (sin y) (+ x (cos y)))) (* -1 (/ (* z (* (sin y) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (+ x (cos y))))) (/ (sin y) (+ x (cos y))))))> |
#<alt (+ 1 (* z (- (+ (* -1 (/ (sin y) (+ x (cos y)))) (* z (- (/ (* z (* (pow (sin y) 2) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (pow (+ x (cos y)) 2)) (/ (* (sin y) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y))))) (+ x (cos y)))))) (/ (sin y) (+ x (cos y))))))> |
#<alt -1> |
#<alt (- (+ (/ x (* z (sin y))) (/ (cos y) (* z (sin y)))) (+ 1 (* -1 (/ (+ x (cos y)) (* z (sin y))))))> |
#<alt (- (+ (* -1 (/ (* (+ x (cos y)) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 2) (sin y)))) (+ (/ x (* z (sin y))) (/ (cos y) (* z (sin y))))) (+ 1 (* -1 (/ (+ x (cos y)) (* z (sin y))))))> |
#<alt (- (+ (/ x (* z (sin y))) (+ (/ (cos y) (* z (sin y))) (/ (* (pow (+ x (cos y)) 2) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 3) (pow (sin y) 2))))) (+ 1 (+ (* -1 (/ (+ x (cos y)) (* z (sin y)))) (/ (* (+ x (cos y)) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 2) (sin y))))))> |
#<alt -1> |
#<alt (- (* -1 (/ (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1)> |
#<alt (- (* -1 (/ (- (+ (* -1 (/ (* (+ x (cos y)) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (* z (sin y)))) (* -1 (/ (+ x (cos y)) (sin y)))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1)> |
#<alt (- (* -1 (/ (- (+ (* -1 (/ (+ x (cos y)) (sin y))) (* -1 (/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (* z (pow (sin y) 2)))) (* -1 (/ (* (+ x (cos y)) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (sin y)))) z))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1)> |
#<alt (/ (+ (cos y) (* -1 (* z (sin y)))) (+ (cos y) (* z (sin y))))> |
#<alt (+ (* -1 (/ (* z (sin y)) (+ (cos y) (* z (sin y))))) (+ (* x (- (/ 1 (+ (cos y) (* z (sin y)))) (+ (* -1 (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2))))) (/ (cos y) (+ (cos y) (* z (sin y))))))> |
#<alt (+ (* -1 (/ (* z (sin y)) (+ (cos y) (* z (sin y))))) (+ (* x (- (+ (* x (- (+ (* -1 (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 3))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 3))) (/ 1 (pow (+ (cos y) (* z (sin y))) 2)))) (/ 1 (+ (cos y) (* z (sin y))))) (+ (* -1 (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2))))) (/ (cos y) (+ (cos y) (* z (sin y))))))> |
#<alt (+ (* -1 (/ (* z (sin y)) (+ (cos y) (* z (sin y))))) (+ (* x (- (+ (* x (- (+ (* -1 (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 3))) (+ (* x (- (/ 1 (pow (+ (cos y) (* z (sin y))) 3)) (+ (* -1 (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 4))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 4))))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 3)))) (/ 1 (pow (+ (cos y) (* z (sin y))) 2)))) (/ 1 (+ (cos y) (* z (sin y))))) (+ (* -1 (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2))))) (/ (cos y) (+ (cos y) (* z (sin y))))))> |
#<alt 1> |
#<alt (- (+ 1 (* -1 (/ (* z (sin y)) x))) (/ (* z (sin y)) x))> |
#<alt (- (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (* -1 (/ (* (+ (cos y) (* z (sin y))) (- (* -1 (* z (sin y))) (* z (sin y)))) (pow x 2))))) (/ (* z (sin y)) x))> |
#<alt (- (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (* (pow (+ (cos y) (* z (sin y))) 2) (- (* -1 (* z (sin y))) (* z (sin y)))) (pow x 3)))) (+ (/ (* z (sin y)) x) (/ (* (+ (cos y) (* z (sin y))) (- (* -1 (* z (sin y))) (* z (sin y)))) (pow x 2))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (- (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (+ (cos y) (* z (sin y))))) x)))> |
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (/ (* (+ (cos y) (* z (sin y))) (- (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (+ (cos y) (* z (sin y)))))) x))) (* -1 (+ (cos y) (* z (sin y))))) x)))> |
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (/ (- (* -1 (/ (* (pow (+ (cos y) (* z (sin y))) 2) (- (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (+ (cos y) (* z (sin y)))))) x)) (* -1 (* (+ (cos y) (* z (sin y))) (- (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (+ (cos y) (* z (sin y)))))))) x))) (* -1 (+ (cos y) (* z (sin y))))) x)))> |
#<alt (+ (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> |
#<alt (* x (+ 1 (+ (/ (cos y) x) (/ (* z (sin y)) x))))> |
#<alt (* x (+ 1 (+ (/ (cos y) x) (/ (* z (sin y)) x))))> |
#<alt (* x (+ 1 (+ (/ (cos y) x) (/ (* z (sin y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* z (sin y))) x)) 1)))> |
#<alt (+ x (cos y))> |
#<alt (+ x (+ (cos y) (* z (sin y))))> |
#<alt (+ x (+ (cos y) (* z (sin y))))> |
#<alt (+ x (+ (cos y) (* z (sin y))))> |
#<alt (* z (sin y))> |
#<alt (* z (+ (sin y) (+ (/ x z) (/ (cos y) z))))> |
#<alt (* z (+ (sin y) (+ (/ x z) (/ (cos y) z))))> |
#<alt (* z (+ (sin y) (+ (/ x z) (/ (cos y) z))))> |
#<alt (* z (sin y))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ x (cos y)) z)))))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* y z)))> |
#<alt (+ 1 (+ x (* y (+ z (* -1/2 y)))))> |
#<alt (+ 1 (+ x (* y (+ z (* y (- (* -1/6 (* y z)) 1/2))))))> |
#<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 (cos y)> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (* z (+ (sin y) (/ (cos y) z)))> |
#<alt (* z (+ (sin y) (/ (cos y) z)))> |
#<alt (* z (+ (sin y) (/ (cos y) z)))> |
#<alt (* z (sin y))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (cos y) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (cos y) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (cos y) z)))))> |
#<alt 1> |
#<alt (+ 1 (* y z))> |
#<alt (+ 1 (* y (+ z (* -1/2 y))))> |
#<alt (+ 1 (* y (+ z (* y (- (* -1/6 (* y z)) 1/2)))))> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt (- (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> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (+ x (cos y))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (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 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
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#<alt x> |
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#<alt x> |
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#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
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#<alt (/ 1 x)> |
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#<alt (/ 1 x)> |
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#<alt (* x (+ 1 (/ (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ 1 z)))) x)))> |
#<alt x> |
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#<alt (/ 1 z)> |
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#<alt (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z))))> |
#<alt (/ x z)> |
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#<alt (/ x z)> |
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#<alt (* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ 1 z))) x)) (/ 1 z))))> |
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#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt 1> |
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#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (cos y)> |
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#<alt (+ (cos y) (* -1 (* z (sin y))))> |
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#<alt x> |
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#<alt (+ 1 x)> |
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#<alt (* z (- (+ (/ x z) (/ (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)))))> |
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#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt x> |
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#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt x> |
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#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (+ 1 x)> |
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#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
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#<alt (- (+ x (cos y)) (* z (sin y)))> |
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#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (+ x (cos y))> |
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#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (* -1 (* z (sin y)))> |
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#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (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 x)> |
#<alt (+ (* -1 (/ (* y z) x)) (/ 1 x))> |
#<alt (+ (* y (+ (* -1 (/ z x)) (* -1/2 (/ y x)))) (/ 1 x))> |
#<alt (+ (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) (* 1/2 (/ 1 x)))))) (/ 1 x))> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (cos y) x)> |
#<alt (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))> |
#<alt (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))> |
#<alt (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))> |
#<alt (* -1 (/ (* z (sin y)) x))> |
#<alt (* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z))))> |
#<alt (* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z))))> |
#<alt (* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z))))> |
#<alt (* -1 (/ (* z (sin y)) x))> |
#<alt (* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x))))> |
#<alt (* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x))))> |
#<alt (* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x))))> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ (- (cos y) (* z (sin y))) x)> |
#<alt (/ 1 (+ 1 x))> |
#<alt (+ (* -1 (/ (* y z) (pow (+ 1 x) 2))) (/ 1 (+ 1 x)))> |
#<alt (+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (/ z (pow (+ 1 x) 2)))) (/ 1 (+ 1 x)))> |
#<alt (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow (+ 1 x) 2))) (+ (* 1/2 (/ z (pow (+ 1 x) 3))) (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x)))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (/ z (pow (+ 1 x) 2)))) (/ 1 (+ 1 x)))> |
#<alt (/ 1 (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ 1 (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ 1 (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ 1 (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ 1 (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ 1 (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ 1 (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ 1 (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ 1 (+ x (cos y)))> |
#<alt (+ (* -1 (/ (* z (sin y)) (pow (+ x (cos y)) 2))) (/ 1 (+ x (cos y))))> |
#<alt (+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (/ (sin y) (pow (+ x (cos y)) 2)))) (/ 1 (+ x (cos y))))> |
#<alt (+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4))) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (/ (sin y) (pow (+ x (cos y)) 2)))) (/ 1 (+ x (cos y))))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ (+ (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)> |
#<alt (/ (- (+ (/ 1 (sin y)) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2))))) z)> |
#<alt (/ (- (+ (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (/ 1 (sin y))) (+ (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z)> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (* -1 (/ (- (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (sin y))) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (sin y))) z)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))> |
#<alt (/ 1 (+ (cos y) (* z (sin y))))> |
#<alt (+ (* -1 (/ x (pow (+ (cos y) (* z (sin y))) 2))) (/ 1 (+ (cos y) (* z (sin y)))))> |
#<alt (+ (* x (- (/ x (pow (+ (cos y) (* z (sin y))) 3)) (/ 1 (pow (+ (cos y) (* z (sin y))) 2)))) (/ 1 (+ (cos y) (* z (sin y)))))> |
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow (+ (cos y) (* z (sin y))) 4))) (/ 1 (pow (+ (cos y) (* z (sin y))) 3)))) (/ 1 (pow (+ (cos y) (* z (sin y))) 2)))) (/ 1 (+ (cos y) (* z (sin y)))))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* -1 (/ (+ (cos y) (* z (sin y))) x))) x)> |
#<alt (/ (- (+ 1 (/ (pow (+ (cos y) (* z (sin y))) 2) (pow x 2))) (+ (/ (cos y) x) (/ (* z (sin y)) x))) x)> |
#<alt (/ (- (+ 1 (* -1 (/ (pow (+ (cos y) (* z (sin y))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ (cos y) (* z (sin y))) 2) (pow x 2))) (+ (/ (cos y) x) (/ (* z (sin y)) x)))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (+ (/ (cos y) x) (/ (* z (sin y)) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* z (sin y))) 2) x) (+ (cos y) (* z (sin y)))) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* z (sin y))) 3) x) (pow (+ (cos y) (* z (sin y))) 2)) x)) (+ (cos y) (* z (sin y)))) x)) 1) x))> |
#<alt x> |
#<alt (+ x (* z (sin y)))> |
#<alt (+ x (* z (sin y)))> |
#<alt (+ x (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (* z (+ (sin y) (/ x z)))> |
#<alt (* z (+ (sin y) (/ x z)))> |
#<alt (* z (+ (sin y) (/ x z)))> |
#<alt (* z (sin y))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ x z)))))> |
#<alt x> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y (+ z (* -1/6 (* (pow y 2) z)))))> |
#<alt (+ x (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))))> |
#<alt (+ x (* z (sin y)))> |
#<alt (+ x (* z (sin y)))> |
#<alt (+ x (* z (sin y)))> |
#<alt (+ x (* z (sin y)))> |
#<alt (+ x (* z (sin y)))> |
#<alt (+ x (* z (sin y)))> |
#<alt (+ x (* z (sin y)))> |
#<alt (+ x (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (+ x (* z (sin y)))> |
#<alt (+ x (* z (sin y)))> |
#<alt (+ x (* z (sin y)))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* z (sin y)) x)))> |
#<alt (* x (+ 1 (/ (* z (sin y)) x)))> |
#<alt (* x (+ 1 (/ (* z (sin y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* z (sin y)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* z (sin y)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* z (sin y)) x)) 1)))> |
#<alt -1> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt x> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt x> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<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> |
#<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)> |
162 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | 0 | (/ (- (cos y) (* z (sin y))) x) |
| 1.0ms | z | @ | 0 | (* z (+ (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/ x z))) |
| 1.0ms | x | @ | 0 | (* z (+ (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/ x z))) |
| 1.0ms | z | @ | -inf | (* z (+ (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/ x z))) |
| 1.0ms | x | @ | 0 | (* (/ 1 (+ (cos y) (+ (* z (sin y)) x))) (+ (cos y) (+ (* (sin y) (neg z)) x))) |
| 1× | egg-herbie |
| 7 468× | lower-fma.f64 |
| 7 468× | lower-fma.f32 |
| 5 304× | lower-*.f64 |
| 5 304× | lower-*.f32 |
| 4 464× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 757 | 8329 |
| 1 | 2337 | 7932 |
| 2 | 7428 | 7879 |
| 0 | 8254 | 7483 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (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 |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(+ x (cos 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))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (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 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(+ 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 |
(+ 1 (* y (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x))))) |
(+ 1 (* y (- (+ (* -1 (/ z (+ 1 x))) (* y (- (* 1/2 (/ 1 (+ 1 x))) (+ (* 1/2 (/ 1 (+ 1 x))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x)))))) (/ z (+ 1 x))))) |
(+ 1 (* y (- (+ (* -1 (/ z (+ 1 x))) (* y (- (* y (- (* 1/6 (/ z (+ 1 x))) (+ (* -1/2 (/ (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x))) (+ 1 x))) (+ (* -1/6 (/ z (+ 1 x))) (/ (* z (- (* 1/2 (/ 1 (+ 1 x))) (+ (* 1/2 (/ 1 (+ 1 x))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x))))) (+ 1 x)))))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x))))) (/ z (+ 1 x))))) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y))))) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y))))) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y))))) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y))))) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y))))) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y))))) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y))))) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y))))) |
1 |
(+ 1 (* z (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) |
(+ 1 (* z (- (+ (* -1 (/ (sin y) (+ x (cos y)))) (* -1 (/ (* z (* (sin y) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (+ x (cos y))))) (/ (sin y) (+ x (cos y)))))) |
(+ 1 (* z (- (+ (* -1 (/ (sin y) (+ x (cos y)))) (* z (- (/ (* z (* (pow (sin y) 2) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (pow (+ x (cos y)) 2)) (/ (* (sin y) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y))))) (+ x (cos y)))))) (/ (sin y) (+ x (cos y)))))) |
-1 |
(- (+ (/ x (* z (sin y))) (/ (cos y) (* z (sin y)))) (+ 1 (* -1 (/ (+ x (cos y)) (* z (sin y)))))) |
(- (+ (* -1 (/ (* (+ x (cos y)) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 2) (sin y)))) (+ (/ x (* z (sin y))) (/ (cos y) (* z (sin y))))) (+ 1 (* -1 (/ (+ x (cos y)) (* z (sin y)))))) |
(- (+ (/ x (* z (sin y))) (+ (/ (cos y) (* z (sin y))) (/ (* (pow (+ x (cos y)) 2) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 3) (pow (sin y) 2))))) (+ 1 (+ (* -1 (/ (+ x (cos y)) (* z (sin y)))) (/ (* (+ x (cos y)) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 2) (sin y)))))) |
-1 |
(- (* -1 (/ (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1) |
(- (* -1 (/ (- (+ (* -1 (/ (* (+ x (cos y)) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (* z (sin y)))) (* -1 (/ (+ x (cos y)) (sin y)))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1) |
(- (* -1 (/ (- (+ (* -1 (/ (+ x (cos y)) (sin y))) (* -1 (/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (* z (pow (sin y) 2)))) (* -1 (/ (* (+ x (cos y)) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (sin y)))) z))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1) |
(/ (+ (cos y) (* -1 (* z (sin y)))) (+ (cos y) (* z (sin y)))) |
(+ (* -1 (/ (* z (sin y)) (+ (cos y) (* z (sin y))))) (+ (* x (- (/ 1 (+ (cos y) (* z (sin y)))) (+ (* -1 (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2))))) (/ (cos y) (+ (cos y) (* z (sin y)))))) |
(+ (* -1 (/ (* z (sin y)) (+ (cos y) (* z (sin y))))) (+ (* x (- (+ (* x (- (+ (* -1 (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 3))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 3))) (/ 1 (pow (+ (cos y) (* z (sin y))) 2)))) (/ 1 (+ (cos y) (* z (sin y))))) (+ (* -1 (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2))))) (/ (cos y) (+ (cos y) (* z (sin y)))))) |
(+ (* -1 (/ (* z (sin y)) (+ (cos y) (* z (sin y))))) (+ (* x (- (+ (* x (- (+ (* -1 (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 3))) (+ (* x (- (/ 1 (pow (+ (cos y) (* z (sin y))) 3)) (+ (* -1 (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 4))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 4))))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 3)))) (/ 1 (pow (+ (cos y) (* z (sin y))) 2)))) (/ 1 (+ (cos y) (* z (sin y))))) (+ (* -1 (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2))))) (/ (cos y) (+ (cos y) (* z (sin y)))))) |
1 |
(- (+ 1 (* -1 (/ (* z (sin y)) x))) (/ (* z (sin y)) x)) |
(- (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (* -1 (/ (* (+ (cos y) (* z (sin y))) (- (* -1 (* z (sin y))) (* z (sin y)))) (pow x 2))))) (/ (* z (sin y)) x)) |
(- (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (* (pow (+ (cos y) (* z (sin y))) 2) (- (* -1 (* z (sin y))) (* z (sin y)))) (pow x 3)))) (+ (/ (* z (sin y)) x) (/ (* (+ (cos y) (* z (sin y))) (- (* -1 (* z (sin y))) (* z (sin y)))) (pow x 2)))) |
1 |
(+ 1 (* -1 (/ (- (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (+ (cos y) (* z (sin y))))) x))) |
(+ 1 (* -1 (/ (- (+ (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (/ (* (+ (cos y) (* z (sin y))) (- (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (+ (cos y) (* z (sin y)))))) x))) (* -1 (+ (cos y) (* z (sin y))))) x))) |
(+ 1 (* -1 (/ (- (+ (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (/ (- (* -1 (/ (* (pow (+ (cos y) (* z (sin y))) 2) (- (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (+ (cos y) (* z (sin y)))))) x)) (* -1 (* (+ (cos y) (* z (sin y))) (- (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (+ (cos y) (* z (sin y)))))))) x))) (* -1 (+ (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 |
(* x (+ 1 (+ (/ (cos y) x) (/ (* z (sin y)) x)))) |
(* x (+ 1 (+ (/ (cos y) x) (/ (* z (sin y)) x)))) |
(* x (+ 1 (+ (/ (cos y) x) (/ (* z (sin y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* z (sin y))) x)) 1))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* z (sin y)))) |
(+ x (+ (cos y) (* z (sin y)))) |
(+ x (+ (cos y) (* z (sin y)))) |
(* z (sin y)) |
(* z (+ (sin y) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (sin y) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (sin y) (+ (/ x z) (/ (cos y) z)))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ x (cos y)) z))))) |
(+ 1 x) |
(+ 1 (+ x (* y z))) |
(+ 1 (+ x (* y (+ z (* -1/2 y))))) |
(+ 1 (+ x (* y (+ z (* y (- (* -1/6 (* y z)) 1/2)))))) |
(+ 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)))) |
(cos y) |
(+ (cos y) (* z (sin y))) |
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(/ (- (cos y) (* z (sin y))) x) |
(/ (- (cos y) (* z (sin y))) x) |
(/ (- (cos y) (* z (sin y))) x) |
(/ (- (cos y) (* z (sin y))) x) |
(/ (- (cos y) (* z (sin y))) x) |
(/ (cos y) x) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(* -1 (/ (* z (sin y)) x)) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z)))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z)))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z)))) |
(* -1 (/ (* z (sin y)) x)) |
(* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x)))) |
(* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x)))) |
(* -1 (* z (+ (* -1 (/ (cos y) (* x 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) (* 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) |
(/ 1 (+ 1 x)) |
(+ (* -1 (/ (* y z) (pow (+ 1 x) 2))) (/ 1 (+ 1 x))) |
(+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (/ z (pow (+ 1 x) 2)))) (/ 1 (+ 1 x))) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow (+ 1 x) 2))) (+ (* 1/2 (/ z (pow (+ 1 x) 3))) (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x)))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (/ z (pow (+ 1 x) 2)))) (/ 1 (+ 1 x))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/ 1 (+ x (cos y))) |
(+ (* -1 (/ (* z (sin y)) (pow (+ x (cos y)) 2))) (/ 1 (+ x (cos y)))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (/ (sin y) (pow (+ x (cos y)) 2)))) (/ 1 (+ x (cos y)))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4))) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (/ (sin y) (pow (+ x (cos y)) 2)))) (/ 1 (+ x (cos y)))) |
(/ 1 (* z (sin y))) |
(/ (+ (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z) |
(/ (- (+ (/ 1 (sin y)) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2))))) z) |
(/ (- (+ (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (/ 1 (sin y))) (+ (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z) |
(/ 1 (* z (sin y))) |
(* -1 (/ (- (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (sin y))) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (sin y))) z)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(/ 1 (+ (cos y) (* z (sin y)))) |
(+ (* -1 (/ x (pow (+ (cos y) (* z (sin y))) 2))) (/ 1 (+ (cos y) (* z (sin y))))) |
(+ (* x (- (/ x (pow (+ (cos y) (* z (sin y))) 3)) (/ 1 (pow (+ (cos y) (* z (sin y))) 2)))) (/ 1 (+ (cos y) (* z (sin y))))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ (cos y) (* z (sin y))) 4))) (/ 1 (pow (+ (cos y) (* z (sin y))) 3)))) (/ 1 (pow (+ (cos y) (* z (sin y))) 2)))) (/ 1 (+ (cos y) (* z (sin y))))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ (+ (cos y) (* z (sin y))) x))) x) |
(/ (- (+ 1 (/ (pow (+ (cos y) (* z (sin y))) 2) (pow x 2))) (+ (/ (cos y) x) (/ (* z (sin y)) x))) x) |
(/ (- (+ 1 (* -1 (/ (pow (+ (cos y) (* z (sin y))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ (cos y) (* z (sin y))) 2) (pow x 2))) (+ (/ (cos y) x) (/ (* z (sin y)) x)))) x) |
(/ 1 x) |
(* -1 (/ (- (+ (/ (cos y) x) (/ (* z (sin y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* z (sin y))) 2) x) (+ (cos y) (* z (sin y)))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* z (sin y))) 3) x) (pow (+ (cos y) (* z (sin y))) 2)) x)) (+ (cos y) (* z (sin y)))) x)) 1) x)) |
x |
(+ x (* z (sin y))) |
(+ x (* z (sin y))) |
(+ x (* z (sin y))) |
(* z (sin y)) |
(* z (+ (sin y) (/ x z))) |
(* z (+ (sin y) (/ x z))) |
(* z (+ (sin y) (/ x z))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ x z))))) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(+ x (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))) |
(+ x (* z (sin y))) |
(+ x (* z (sin y))) |
(+ x (* z (sin y))) |
(+ x (* z (sin y))) |
(+ x (* z (sin y))) |
(+ x (* z (sin y))) |
(+ x (* z (sin y))) |
(+ x (* z (sin y))) |
(* z (sin y)) |
(+ x (* z (sin y))) |
(+ x (* z (sin y))) |
(+ x (* z (sin y))) |
x |
(* x (+ 1 (/ (* z (sin y)) x))) |
(* x (+ 1 (/ (* z (sin y)) x))) |
(* x (+ 1 (/ (* z (sin y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (* z (sin y)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (sin y)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (sin y)) x)) 1))) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 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)) |
(* 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 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
| Outputs |
|---|
(+ (cos y) (* -1 (* z (sin y)))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) x) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) x) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(fma.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) x) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(neg.f64 (fma.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (neg.f64 x)) (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(neg.f64 (fma.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (neg.f64 x)) (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(neg.f64 (fma.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (neg.f64 x)) (neg.f64 x))) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (neg.f64 z)) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (neg.f64 z)) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (neg.f64 z)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (+ x (* -1 (* y z)))) |
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (neg.f64 z)) #s(literal 1 binary64))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x))))) |
(fma.f64 y (*.f64 (/.f64 z (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ (* -1 (/ z (+ 1 x))) (* y (- (* 1/2 (/ 1 (+ 1 x))) (+ (* 1/2 (/ 1 (+ 1 x))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x)))))) (/ z (+ 1 x))))) |
(fma.f64 y (fma.f64 y (neg.f64 (*.f64 (*.f64 (/.f64 z (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)) (/.f64 z (+.f64 x #s(literal 1 binary64))))) (*.f64 (/.f64 z (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ (* -1 (/ z (+ 1 x))) (* y (- (* y (- (* 1/6 (/ z (+ 1 x))) (+ (* -1/2 (/ (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x))) (+ 1 x))) (+ (* -1/6 (/ z (+ 1 x))) (/ (* z (- (* 1/2 (/ 1 (+ 1 x))) (+ (* 1/2 (/ 1 (+ 1 x))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x))))) (+ 1 x)))))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x))))) (/ z (+ 1 x))))) |
(fma.f64 y (fma.f64 y (fma.f64 y (-.f64 (/.f64 (*.f64 z #s(literal 1/6 binary64)) (+.f64 x #s(literal 1 binary64))) (fma.f64 (neg.f64 (*.f64 (*.f64 (/.f64 z (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)) (/.f64 z (+.f64 x #s(literal 1 binary64))))) (/.f64 z (+.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 z (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 z #s(literal -1/6 binary64)) (+.f64 x #s(literal 1 binary64)))))) (neg.f64 (*.f64 (*.f64 (/.f64 z (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)) (/.f64 z (+.f64 x #s(literal 1 binary64)))))) (*.f64 (/.f64 z (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64))) #s(literal 1 binary64)) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y))))) |
(/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y))))) |
(/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y))))) |
(/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y))))) |
(/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y))))) |
(/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y))))) |
(/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y))))) |
(/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y))))) |
(/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* z (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) |
(fma.f64 z (*.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* z (- (+ (* -1 (/ (sin y) (+ x (cos y)))) (* -1 (/ (* z (* (sin y) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (+ x (cos y))))) (/ (sin y) (+ x (cos y)))))) |
(fma.f64 z (fma.f64 (neg.f64 z) (*.f64 (*.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -2 binary64)) (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x))) (*.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* z (- (+ (* -1 (/ (sin y) (+ x (cos y)))) (* z (- (/ (* z (* (pow (sin y) 2) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (pow (+ x (cos y)) 2)) (/ (* (sin y) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y))))) (+ x (cos y)))))) (/ (sin y) (+ x (cos y)))))) |
(fma.f64 z (fma.f64 z (fma.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 z (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -2 binary64)) (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x))))) (*.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -2 binary64))) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (+ (/ x (* z (sin y))) (/ (cos y) (* z (sin y)))) (+ 1 (* -1 (/ (+ x (cos y)) (* z (sin y)))))) |
(+.f64 (/.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (/.f64 x (*.f64 z (sin.f64 y))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) |
(- (+ (* -1 (/ (* (+ x (cos y)) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 2) (sin y)))) (+ (/ x (* z (sin y))) (/ (cos y) (* z (sin y))))) (+ 1 (* -1 (/ (+ x (cos y)) (* z (sin y)))))) |
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(*.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 y (*.f64 z #s(literal -1/6 binary64))) z)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y 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 |
#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× | batch-egg-rewrite |
| 4 832× | lower-fma.f32 |
| 4 818× | lower-fma.f64 |
| 4 542× | lower-*.f32 |
| 4 528× | lower-*.f64 |
| 3 238× | lower-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 323 |
| 0 | 98 | 319 |
| 1 | 498 | 278 |
| 2 | 4779 | 264 |
| 0 | 9091 | 254 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))) |
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) |
(fma.f64 z (sin.f64 y) (cos.f64 y)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (+ x 1) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 x x #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) |
(*.f64 z (+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) |
(+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))) |
(*.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) |
(+.f64 x (*.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) |
(fma.f64 z (sin.f64 y) x) |
(+.f64 x #s(literal -1 binary64)) |
(*.f64 z (sin.f64 y)) |
(cos.f64 y) |
| Outputs |
|---|
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+.f64 x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))) |
(+.f64 x (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) |
(+.f64 (+.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)) x) |
(+.f64 (neg.f64 (*.f64 z (sin.f64 y))) (+.f64 x (cos.f64 y))) |
(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) x) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (sin.f64 y))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (sin.f64 y)))) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 z (sin.f64 y))))) |
(+.f64 (*.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (/.f64 (cos.f64 y) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))) (*.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (/.f64 (-.f64 x (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))) |
(+.f64 (*.f64 (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) x) (*.f64 (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(+.f64 (*.f64 (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) x)) |
(+.f64 (*.f64 (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (cos.f64 y)) (*.f64 (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (fma.f64 z (sin.f64 y) x))) |
(+.f64 (*.f64 (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (fma.f64 z (sin.f64 y) x)) (*.f64 (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (cos.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 z (sin.f64 y))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (-.f64 x (*.f64 z (sin.f64 y))) #s(literal 1 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(+.f64 (*.f64 (+.f64 x (cos.f64 y)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 z (sin.f64 y))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (cos.f64 y) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (*.f64 (/.f64 (-.f64 x (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))) |
(+.f64 (*.f64 x (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))) (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))) |
(+.f64 (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))) (*.f64 x (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))) |
(+.f64 (*.f64 (cos.f64 y) (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))) (*.f64 (fma.f64 z (sin.f64 y) x) (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))) |
(+.f64 (*.f64 (fma.f64 z (sin.f64 y) x) (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))) (*.f64 (cos.f64 y) (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))) |
(exp.f64 (log.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) #s(literal 1 binary64))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (/.f64 (+.f64 x (cos.f64 y)) #s(literal 1 binary64)) (/.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))) (/.f64 (pow.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (+.f64 (-.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 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) (/.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))) |
(fma.f64 x #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(fma.f64 x (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))) |
(fma.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) x) |
(fma.f64 z (/.f64 x z) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(fma.f64 z (/.f64 x z) (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))) |
(fma.f64 z (/.f64 x z) (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 x (cos.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) |
(fma.f64 (cos.f64 y) #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 z (sin.f64 y))) #s(literal 1 binary64))) |
(fma.f64 (cos.f64 y) (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (*.f64 (fma.f64 z (sin.f64 y) x) (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))) |
(fma.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (*.f64 x (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))) |
(fma.f64 #s(literal 1 binary64) x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (sin.f64 y))))) |
(fma.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (sin.f64 y))) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(fma.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 z (sin.f64 y))))) |
(fma.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(fma.f64 (fma.f64 z (sin.f64 y) x) (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (*.f64 (cos.f64 y) (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))) |
(fma.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (/.f64 (cos.f64 y) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (*.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (/.f64 (-.f64 x (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(fma.f64 (-.f64 x (*.f64 z (sin.f64 y))) #s(literal 1 binary64) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) x (*.f64 (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(fma.f64 (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (cos.f64 y) (*.f64 (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (fma.f64 z (sin.f64 y) x))) |
(fma.f64 (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (fma.f64 z (sin.f64 y) (cos.f64 y)) (*.f64 (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) x)) |
(fma.f64 (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (fma.f64 z (sin.f64 y) x) (*.f64 (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (cos.f64 y))) |
(fma.f64 (+.f64 x (cos.f64 y)) #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 z (sin.f64 y))) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) |
(fma.f64 (/.f64 x z) z (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(fma.f64 (/.f64 x z) z (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 x z) z (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
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#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (+.f64 x (fma.f64 (*.f64 y (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) z #s(literal 1 binary64))))) |
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(/.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) x) (neg.f64 x)) |
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(*.f64 (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) |
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(exp.f64 (log.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) #s(literal 1 binary64))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (/.f64 (+.f64 x (cos.f64 y)) #s(literal 1 binary64)) (/.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))) |
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(fma.f64 z (/.f64 x z) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(fma.f64 z (/.f64 x z) (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))) |
(fma.f64 z (/.f64 x z) (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 x (cos.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) |
(fma.f64 (cos.f64 y) #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 z (sin.f64 y))) #s(literal 1 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x)))) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x)) |
(pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(cos.f64 y) |
Compiled 44 965 to 2 880 computations (93.6% saved)
42 alts after pruning (40 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 547 | 21 | 1 568 |
| Fresh | 5 | 19 | 24 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 556 | 42 | 1 598 |
| Status | Accuracy | Program |
|---|---|---|
| 94.5% | (fma.f64 (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) x) x) | |
| 89.6% | (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) | |
| 63.3% | (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 63.3% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 47.1% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)) (-.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) | |
| 58.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (fma.f64 z (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))) | |
| 26.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (+.f64 (/.f64 x (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z))) | |
| 29.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) | |
| 57.4% | (-.f64 (/.f64 (*.f64 x x) (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))))) (/.f64 (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))))) | |
| 54.8% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) | |
| ▶ | 62.1% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 29.6% | (*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 #s(approx (/ 1 (+ (cos y) (+ (* z (sin y)) x))) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)))) | |
| 71.8% | #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 (cos.f64 y) x)) | |
| 65.7% | #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 x (*.f64 z (sin.f64 y)))) (*.f64 x x))))) | |
| 55.8% | #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x #s(approx (/ (- (cos y) (* z (sin y))) x) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))))) | |
| 61.7% | #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x #s(approx (/ (- (cos y) (* z (sin y))) x) (/.f64 #s(literal 1 binary64) x))))) | |
| 66.7% | #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 (sin.f64 y) (neg.f64 z))))) | |
| ▶ | 99.8% | #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))))) |
| 29.7% | #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 (sin.f64 y) (neg.f64 z))) | |
| 42.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) | |
| ▶ | 63.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
| ✓ | 61.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
| 54.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(approx (+ (* y (* z 1/6)) -1/2) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))) (neg.f64 z)) x))) | |
| 45.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 (*.f64 y y) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))) x))) | |
| 46.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 y #s(literal -1/2 binary64))) x))) | |
| ▶ | 24.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))))) |
| 42.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ x -1) (+.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) x))))))) | |
| 24.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (fma.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))))) | |
| 25.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64))))) | |
| 19.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))) | |
| 19.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) | |
| 19.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) | |
| 24.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (+.f64 #s(literal -1 binary64) (neg.f64 x))))) | |
| 19.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x))))) | |
| 25.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(literal -1 binary64)))) | |
| ✓ | 25.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
| ▶ | 54.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (fma.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) z)) z x))) |
| 48.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (+.f64 #s(approx (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))) | |
| 2.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)))) | |
| 39.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z #s(approx (+ (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/ x z)) (/.f64 (+.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) z))))) | |
| 26.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z #s(approx (+ (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/ x z)) (/.f64 x z))))) | |
| 11.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
Compiled 1 429 to 817 computations (42.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 z (sin.f64 y)) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | #s(approx (+ x (cos y)) (cos.f64 y)) |
| ✓ | cost-diff | 0 | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ✓ | cost-diff | 0 | #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (fma.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) z)) z x)) |
| ✓ | cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (fma.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) z)) z x))) |
| ✓ | cost-diff | 320 | (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
| ✓ | cost-diff | 1280 | (fma.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) z)) z x) |
| ✓ | cost-diff | 0 | (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
| ✓ | cost-diff | 0 | #s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)))) |
| ✓ | cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))))) |
| ✓ | cost-diff | 0 | (fma.f64 y z #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
| ✓ | cost-diff | 0 | #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
| ✓ | cost-diff | 0 | (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))) |
| ✓ | cost-diff | 0 | #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))))) |
| ✓ | cost-diff | 704 | (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
| 9 382× | lower-fma.f32 |
| 9 372× | lower-fma.f64 |
| 2 668× | lower-*.f32 |
| 2 654× | lower-*.f64 |
| 2 264× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 441 |
| 0 | 85 | 432 |
| 1 | 175 | 432 |
| 2 | 382 | 422 |
| 3 | 794 | 400 |
| 4 | 1752 | 400 |
| 5 | 4144 | 396 |
| 6 | 7025 | 396 |
| 0 | 8032 | 371 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))))) |
(+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))) |
x |
#s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
z |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(/.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
(sin.f64 y) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
x |
(fma.f64 y z #s(literal -1 binary64)) |
y |
z |
#s(literal -1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))))) |
(+.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)))) |
#s(literal 1 binary64) |
#s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) |
(*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
z |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
#s(literal 1/6 binary64) |
(*.f64 y y) |
y |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (fma.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) z)) z x))) |
#s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (fma.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) z)) z x)) |
(fma.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) z)) z x) |
(fma.f64 y (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) z)) |
y |
(fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(*.f64 y #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
x |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
#s(approx (+ x (cos y)) (cos.f64 y)) |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))) |
(+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) |
x |
#s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
#s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
z |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(/.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
(sin.f64 y) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
x |
(fma.f64 y z #s(literal -1 binary64)) |
y |
z |
#s(literal -1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) (*.f64 y y))))) |
(+.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)))) |
(+.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) (*.f64 y y)))) |
#s(literal 1 binary64) |
#s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) |
#s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) (*.f64 y y))) |
(*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
(*.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) (*.f64 y y)) |
z |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(*.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
#s(literal 1/6 binary64) |
(*.f64 y y) |
y |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (fma.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) z)) z x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (-.f64 x (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) z) #s(literal -1 binary64))))) |
#s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (fma.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) z)) z x)) |
#s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (-.f64 x (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) z) #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) z)) z x) |
(-.f64 x (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) z) #s(literal -1 binary64))) |
(fma.f64 y (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) z)) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
y |
(fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(fma.f64 y (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(*.f64 y #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
x |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
#s(approx (+ x (cos y)) (cos.f64 y)) |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| ✓ | accuracy | 56.3% | #s(approx (+ x (cos y)) (cos.f64 y)) |
| ✓ | accuracy | 99.6% | (*.f64 y #s(literal 1/6 binary64)) |
| ✓ | accuracy | 98.3% | (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
| ✓ | accuracy | 94.1% | (fma.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) z)) z x) |
| ✓ | accuracy | 54.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (fma.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) z)) z x))) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
| ✓ | accuracy | 91.4% | (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
| ✓ | accuracy | 54.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))))) |
| ✓ | accuracy | 38.6% | #s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) |
| ✓ | accuracy | 100.0% | (fma.f64 y z #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
| ✓ | accuracy | 63.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 99.8% | (/.f64 (cos.f64 y) z) |
| ✓ | accuracy | 99.6% | (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
| 97.0ms | 256× | 0 | valid |
Compiled 290 to 51 computations (82.4% saved)
ival-mult: 25.0ms (35.2% of total)ival-add: 13.0ms (18.3% of total)ival-div: 10.0ms (14.1% of total)ival-cos: 8.0ms (11.3% of total)ival-sin: 5.0ms (7% of total)ival-sub: 4.0ms (5.6% of total)const: 4.0ms (5.6% of total)ival-neg: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))> |
#<alt #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))))> |
#<alt (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))))> |
#<alt #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))> |
#<alt #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))> |
#<alt (-.f64 x (fma.f64 y z #s(literal -1 binary64)))> |
#<alt (fma.f64 y z #s(literal -1 binary64))> |
#<alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)))))> |
#<alt (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))))> |
#<alt #s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)))> |
#<alt (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))> |
#<alt (fma.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) z)) z x)> |
#<alt (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))> |
#<alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (fma.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) z)) z x)))> |
#<alt #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (fma.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) z)) z x))> |
#<alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))> |
#<alt #s(approx (+ x (cos y)) (cos.f64 y))> |
#<alt (cos.f64 y)> |
#<alt (*.f64 z (sin.f64 y))> |
#<alt (/.f64 (cos.f64 y) z)> |
#<alt (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))> |
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 y y))> |
#<alt (*.f64 y #s(literal 1/6 binary64))> |
| Outputs |
|---|
#<alt (cos y)> |
#<alt (+ (cos y) (* -1 (* z (sin y))))> |
#<alt (+ (cos y) (* -1 (* z (sin y))))> |
#<alt (+ (cos y) (* -1 (* z (sin y))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (+ (* -1 (sin y)) (/ (cos y) z)))> |
#<alt (* z (+ (* -1 (sin y)) (/ (cos y) z)))> |
#<alt (* z (+ (* -1 (sin y)) (/ (cos y) z)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (cos y) z)))))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (cos y) z)))))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (cos y) z)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (* y z)))> |
#<alt (+ 1 (* y (+ (* -1 z) (* -1/2 y))))> |
#<alt (+ 1 (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))> |
#<alt (* z (- (/ (cos y) z) (sin y)))> |
#<alt (* z (- (/ (cos y) z) (sin y)))> |
#<alt (* z (- (/ (cos y) z) (sin y)))> |
#<alt (* z (- (/ (cos y) z) (sin y)))> |
#<alt (* z (- (/ (cos y) z) (sin y)))> |
#<alt (* z (- (/ (cos y) z) (sin y)))> |
#<alt (* z (- (/ (cos y) z) (sin y)))> |
#<alt (* z (- (/ (cos y) z) (sin y)))> |
#<alt (- (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> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (+ x (cos y))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (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 (- (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> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (+ x (cos y))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (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 (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (* y z)))> |
#<alt (+ 1 (* y (- (* -1/2 y) z)))> |
#<alt (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (cos y)> |
#<alt (+ (cos y) (* -1 (* z (sin y))))> |
#<alt (+ (cos y) (* -1 (* z (sin y))))> |
#<alt (+ (cos y) (* -1 (* z (sin y))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (/ (cos y) z) (sin y)))> |
#<alt (* z (- (/ (cos y) z) (sin y)))> |
#<alt (* z (- (/ (cos y) z) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))> |
#<alt (- (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> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (+ x (cos y))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
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#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2) y)) (* -1/6 z))))> |
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))> |
#<alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))))> |
#<alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))))> |
#<alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))))> |
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z)))))> |
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z)))))> |
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z)))))> |
#<alt (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))> |
#<alt (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1)))> |
#<alt (- (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> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (+ x (cos y))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (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 (cos y)> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt x> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))> |
#<alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))> |
#<alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))> |
#<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 (/ 1 z)> |
#<alt (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))> |
#<alt (+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))> |
#<alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ 1 z)> |
#<alt (+ (* -1 y) (/ 1 z))> |
#<alt (+ (* y (- (* -1/2 (/ y z)) 1)) (/ 1 z))> |
#<alt (+ (* y (- (* y (- (* 1/6 y) (* 1/2 (/ 1 z)))) 1)) (/ 1 z))> |
#<alt (- (/ (cos y) z) (sin y))> |
#<alt (- (/ (cos y) z) (sin y))> |
#<alt (- (/ (cos y) z) (sin y))> |
#<alt (- (/ (cos y) z) (sin y))> |
#<alt (- (/ (cos y) z) (sin y))> |
#<alt (- (/ (cos y) z) (sin y))> |
#<alt (- (/ (cos y) z) (sin y))> |
#<alt (- (/ (cos y) z) (sin y))> |
#<alt (/ (cos y) z)> |
#<alt (/ (+ (cos y) (* -1 (* z (sin y)))) z)> |
#<alt (/ (+ (cos y) (* -1 (* z (sin y)))) z)> |
#<alt (/ (+ (cos y) (* -1 (* z (sin y)))) z)> |
#<alt (* -1 (sin y))> |
#<alt (- (/ (cos y) z) (sin y))> |
#<alt (- (/ (cos y) z) (sin y))> |
#<alt (- (/ (cos y) z) (sin y))> |
#<alt (* -1 (sin y))> |
#<alt (- (/ (cos y) z) (sin y))> |
#<alt (- (/ (cos y) z) (sin y))> |
#<alt (- (/ (cos y) z) (sin y))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
165 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | inf | (* z (- (/ (cos y) z) (sin y))) |
| 2.0ms | z | @ | inf | (* z (* (* 1/6 (* y y)) y)) |
| 1.0ms | z | @ | 0 | (* z (* (* 1/6 (* y y)) y)) |
| 1.0ms | x | @ | 0 | (+ (* (+ (* y (+ (* y (/ -1/2 z)) (+ (* y (* y 1/6)) -1))) (/ 1 z)) z) x) |
| 1.0ms | z | @ | -inf | (+ (* (+ (* y (+ (* y (/ -1/2 z)) (+ (* y (* y 1/6)) -1))) (/ 1 z)) z) x) |
| 1× | egg-herbie |
| 14 948× | lower-fma.f64 |
| 14 948× | lower-fma.f32 |
| 5 378× | lower-*.f64 |
| 5 378× | lower-*.f32 |
| 4 312× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 338 | 6599 |
| 1 | 1030 | 6367 |
| 2 | 3126 | 6248 |
| 0 | 8132 | 5888 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(cos y) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (/ (cos y) z))) |
(* z (+ (* -1 (sin y)) (/ (cos y) z))) |
(* z (+ (* -1 (sin y)) (/ (cos y) z))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (cos y) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (cos y) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (cos y) z))))) |
1 |
(+ 1 (* -1 (* y z))) |
(+ 1 (* y (+ (* -1 z) (* -1/2 y)))) |
(+ 1 (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))) |
(* z (- (/ (cos y) z) (sin y))) |
(* z (- (/ (cos y) z) (sin y))) |
(* z (- (/ (cos y) z) (sin y))) |
(* z (- (/ (cos y) z) (sin y))) |
(* z (- (/ (cos y) z) (sin y))) |
(* z (- (/ (cos y) z) (sin y))) |
(* z (- (/ (cos y) z) (sin y))) |
(* z (- (/ (cos y) z) (sin y))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ 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))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (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))))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ 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))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (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))))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
1 |
(+ 1 (* -1 (* y z))) |
(+ 1 (* y (- (* -1/2 y) z))) |
(+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(cos y) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(* -1 (* z (sin y))) |
(* z (- (/ (cos y) z) (sin y))) |
(* z (- (/ (cos y) z) (sin y))) |
(* z (- (/ (cos y) z) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y))))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ 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))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (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)) |
(- (+ 1 x) (* y z)) |
(- (+ 1 x) (* y z)) |
(- (+ 1 x) (* y z)) |
x |
(* x (- (+ 1 (/ 1 x)) (/ (* y z) x))) |
(* x (- (+ 1 (/ 1 x)) (/ (* y z) x))) |
(* x (- (+ 1 (/ 1 x)) (/ (* y z) x))) |
x |
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* -1 (* y z)))) |
(* -1 (* y z)) |
(* y (- (+ (/ 1 y) (/ x y)) z)) |
(* y (- (+ (/ 1 y) (/ x y)) z)) |
(* y (- (+ (/ 1 y) (/ x y)) z)) |
(* -1 (* y z)) |
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z)))) |
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z)))) |
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* -1 (* y z)))) |
(* -1 (* y z)) |
(* z (- (+ (/ 1 z) (/ x z)) y)) |
(* z (- (+ (/ 1 z) (/ x z)) y)) |
(* z (- (+ (/ 1 z) (/ x z)) y)) |
(* -1 (* y z)) |
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y)))) |
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y)))) |
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y)))) |
-1 |
(- (* y z) 1) |
(- (* y z) 1) |
(- (* y z) 1) |
(* y z) |
(* y (- z (/ 1 y))) |
(* y (- z (/ 1 y))) |
(* y (- z (/ 1 y))) |
(* y z) |
(* -1 (* y (+ (* -1 z) (/ 1 y)))) |
(* -1 (* y (+ (* -1 z) (/ 1 y)))) |
(* -1 (* y (+ (* -1 z) (/ 1 y)))) |
-1 |
(- (* y z) 1) |
(- (* y z) 1) |
(- (* y z) 1) |
(* y z) |
(* z (- y (/ 1 z))) |
(* z (- y (/ 1 z))) |
(* z (- y (/ 1 z))) |
(* y z) |
(* -1 (* z (+ (* -1 y) (/ 1 z)))) |
(* -1 (* z (+ (* -1 y) (/ 1 z)))) |
(* -1 (* z (+ (* -1 y) (/ 1 z)))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
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(cos y) |
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(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
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(/ (cos y) z) |
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(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ 1 z) |
(+ (* -1 y) (/ 1 z)) |
(+ (* y (- (* -1/2 (/ y z)) 1)) (/ 1 z)) |
(+ (* y (- (* y (- (* 1/6 y) (* 1/2 (/ 1 z)))) 1)) (/ 1 z)) |
(- (/ (cos y) z) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(/ (cos y) z) |
(/ (+ (cos y) (* -1 (* z (sin y)))) z) |
(/ (+ (cos y) (* -1 (* z (sin y)))) z) |
(/ (+ (cos y) (* -1 (* z (sin y)))) z) |
(* -1 (sin y)) |
(- (/ (cos y) z) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(* -1 (sin y)) |
(- (/ (cos y) z) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
| Outputs |
|---|
(cos y) |
(cos.f64 y) |
(+ (cos y) (* -1 (* z (sin y)))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* z (+ (* -1 (sin y)) (/ (cos y) z))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* z (+ (* -1 (sin y)) (/ (cos y) z))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* z (+ (* -1 (sin y)) (/ (cos y) z))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (cos y) z))))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (cos y) z))))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (cos y) z))))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y z))) |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
(+ 1 (* y (+ (* -1 z) (* -1/2 y)))) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))) |
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (neg.f64 z)) #s(literal 1 binary64)) |
(* z (- (/ (cos y) z) (sin y))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* z (- (/ (cos y) z) (sin y))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* z (- (/ (cos y) z) (sin y))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* z (- (/ (cos y) z) (sin y))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* z (- (/ (cos y) z) (sin y))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* z (- (/ (cos y) z) (sin y))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* z (- (/ (cos y) z) (sin y))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* z (- (/ (cos y) z) (sin y))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) x) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(neg.f64 (fma.f64 x (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) x) (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(neg.f64 (fma.f64 x (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) x) (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(neg.f64 (fma.f64 x (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) x) (neg.f64 x))) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (+ x (* -1 (* y z)))) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (neg.f64 z)) (+.f64 #s(literal 1 binary64) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) z) (-.f64 (/.f64 x z) (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) z) (-.f64 (/.f64 x z) (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) z) (-.f64 (/.f64 x 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 (cos.f64 y) x) z) (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) x) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(neg.f64 (fma.f64 x (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) x) (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(neg.f64 (fma.f64 x (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) x) (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(neg.f64 (fma.f64 x (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) x) (neg.f64 x))) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (+ x (* -1 (* y z)))) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (neg.f64 z)) (+.f64 #s(literal 1 binary64) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) z) (-.f64 (/.f64 x z) (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) z) (-.f64 (/.f64 x z) (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) z) (-.f64 (/.f64 x 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 (cos.f64 y) x) z) (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y z))) |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
(+ 1 (* y (- (* -1/2 y) z))) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) |
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (neg.f64 z)) #s(literal 1 binary64)) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (* -1 (* z (sin y)))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* z (- (/ (cos y) z) (sin y))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* z (- (/ (cos y) z) (sin y))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* z (- (/ (cos y) z) (sin y))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y))))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y))))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y))))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) x) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(neg.f64 (fma.f64 x (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) x) (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(neg.f64 (fma.f64 x (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) x) (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(neg.f64 (fma.f64 x (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) x) (neg.f64 x))) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (+ x (* -1 (* y z)))) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (neg.f64 z)) (+.f64 #s(literal 1 binary64) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
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(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y z) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (neg.f64 z)) (+.f64 #s(literal 1 binary64) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(* -1 (* z (sin y))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) z) (-.f64 (/.f64 x z) (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) z) (-.f64 (/.f64 x z) (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) z) (-.f64 (/.f64 x 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 (cos.f64 y) x) z) (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(cos y) |
(cos.f64 y) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
x |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 x (/.f64 (cos.f64 y) x) x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 x (/.f64 (cos.f64 y) x) x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 x (/.f64 (cos.f64 y) x) x) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x)))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x)))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x)))) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) x)) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x)) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(fma.f64 (*.f64 (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)) y) y (+.f64 #s(literal 1 binary64) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* y z) |
(*.f64 y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 z (*.f64 y y)) z)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(fma.f64 y (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(fma.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) z) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (/.f64 #s(literal -1/2 binary64) z)) (/.f64 #s(literal 1 binary64) z)) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* -1 y) (/ 1 z)) |
(-.f64 (/.f64 #s(literal 1 binary64) z) y) |
(+ (* y (- (* -1/2 (/ y z)) 1)) (/ 1 z)) |
(fma.f64 y (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(+ (* y (- (* y (- (* 1/6 y) (* 1/2 (/ 1 z)))) 1)) (/ 1 z)) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(- (/ (cos y) z) (sin y)) |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(- (/ (cos y) z) (sin y)) |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(- (/ (cos y) z) (sin y)) |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(- (/ (cos y) z) (sin y)) |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(- (/ (cos y) z) (sin y)) |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(- (/ (cos y) z) (sin y)) |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(- (/ (cos y) z) (sin y)) |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(- (/ (cos y) z) (sin y)) |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (+ (cos y) (* -1 (* z (sin y)))) z) |
(/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) z) |
(/ (+ (cos y) (* -1 (* z (sin y)))) z) |
(/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) z) |
(/ (+ (cos y) (* -1 (* z (sin y)))) z) |
(/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) z) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
(- (/ (cos y) z) (sin y)) |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(- (/ (cos y) z) (sin y)) |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(- (/ (cos y) z) (sin y)) |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
(- (/ (cos y) z) (sin y)) |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(- (/ (cos y) z) (sin y)) |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(- (/ (cos y) z) (sin y)) |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(* 1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
(* 1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
(* 1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
(* 1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
(* 1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
(* 1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
(* 1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
(* 1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
(* 1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
(* 1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
(* 1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
(* 1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
| 1× | batch-egg-rewrite |
| 6 228× | lower-*.f32 |
| 6 214× | lower-*.f64 |
| 4 538× | lower-fma.f32 |
| 4 528× | lower-fma.f64 |
| 3 384× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 377 |
| 0 | 85 | 368 |
| 1 | 413 | 360 |
| 2 | 3510 | 354 |
| 0 | 9390 | 337 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))))) |
(+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))) |
#s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(fma.f64 y z #s(literal -1 binary64)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))))) |
(+.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)))) |
#s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) |
(*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
(fma.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) z)) z x) |
(fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (fma.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) z)) z x))) |
#s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (fma.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) z)) z x)) |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
#s(approx (+ x (cos y)) (cos.f64 y)) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
(/.f64 (cos.f64 y) z) |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(*.f64 y #s(literal 1/6 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 z (/.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 (/.f64 (cos.f64 y) z) z) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 z (/.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (/.f64 (cos.f64 y) z) z (*.f64 (sin.f64 y) (neg.f64 z))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))) |
(/.f64 (*.f64 z (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))) |
(/.f64 (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z) (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))))) |
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(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (cos.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(+.f64 (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) |
(+.f64 (neg.f64 (sin.f64 y)) (/.f64 (cos.f64 y) z)) |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))))) |
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(fma.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) z) (neg.f64 (sin.f64 y))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) |
(fma.f64 #s(literal -1 binary64) (sin.f64 y) (/.f64 (cos.f64 y) z)) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y) (neg.f64 (sin.f64 y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal -1 binary64)) (neg.f64 (sin.f64 y))) |
(fma.f64 (neg.f64 (cos.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 (sin.f64 y))) |
(fma.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z) (neg.f64 (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))))) |
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (neg.f64 (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(pow.f64 (/.f64 (fma.f64 (sin.f64 y) (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))))) |
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 y #s(literal 1/6 binary64)) y) |
(*.f64 y #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) y) |
Compiled 23 286 to 1 647 computations (92.9% saved)
48 alts after pruning (43 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 990 | 10 | 1 000 |
| Fresh | 2 | 33 | 35 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 994 | 48 | 1 042 |
| Status | Accuracy | Program |
|---|---|---|
| 94.5% | (fma.f64 (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) x) x) | |
| 89.6% | (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) | |
| 63.3% | (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 63.3% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 47.1% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)) (-.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) | |
| 58.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (fma.f64 z (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))) | |
| 26.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (+.f64 (/.f64 x (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z))) | |
| 29.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) | |
| 57.4% | (-.f64 (/.f64 (*.f64 x x) (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))))) (/.f64 (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))))) | |
| 54.8% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) | |
| ✓ | 62.1% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 71.8% | #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 (cos.f64 y) x)) | |
| 65.7% | #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 x (*.f64 z (sin.f64 y)))) (*.f64 x x))))) | |
| 55.8% | #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x #s(approx (/ (- (cos y) (* z (sin y))) x) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))))) | |
| 61.7% | #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x #s(approx (/ (- (cos y) (* z (sin y))) x) (/.f64 #s(literal 1 binary64) x))))) | |
| 65.6% | #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (/.f64 (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z) (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))))) | |
| 66.7% | #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 (sin.f64 y) (neg.f64 z))))) | |
| ✓ | 99.8% | #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))))) |
| 57.0% | #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z (*.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))))))))) | |
| 61.7% | #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)))))) | |
| 29.7% | #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 (sin.f64 y) (neg.f64 z))) | |
| 42.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) | |
| 58.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y (*.f64 z y)))) (-.f64 #s(literal -1 binary64) (*.f64 z y))))) | |
| 41.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y z) -1) (*.f64 y z)))) | |
| ✓ | 61.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
| 54.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(approx (+ (* y (* z 1/6)) -1/2) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))) (neg.f64 z)) x))) | |
| 45.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 (*.f64 y y) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))) x))) | |
| 46.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 y #s(literal -1/2 binary64))) x))) | |
| ✓ | 24.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))))) |
| 42.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ x -1) (+.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) x))))))) | |
| 24.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (fma.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))))) | |
| 25.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64))))) | |
| 19.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))) | |
| 19.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) | |
| 19.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) | |
| 24.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (+.f64 #s(literal -1 binary64) (neg.f64 x))))) | |
| 19.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x))))) | |
| 25.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(literal -1 binary64)))) | |
| 33.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (-.f64 #s(literal 1 binary64) (*.f64 y z)))) | |
| 52.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z)))) | |
| 11.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (*.f64 y (neg.f64 z)))) | |
| ✓ | 25.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
| 46.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (fma.f64 (fma.f64 y #s(approx (+ (* y (/ -1/2 z)) (+ (* y (* y 1/6)) -1)) (/.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (/.f64 #s(literal 1 binary64) z)) z x))) | |
| 2.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)))) | |
| 39.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z #s(approx (+ (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/ x z)) (/.f64 (+.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) z))))) | |
| 26.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z #s(approx (+ (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/ x z)) (/.f64 x z))))) | |
| 11.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) | |
| 54.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) #s(approx (+ (* (+ (* y (+ (* y (/ -1/2 z)) (+ (* y (* y 1/6)) -1))) (/ 1 z)) z) x) (fma.f64 (*.f64 y z) (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))) |
Compiled 2 001 to 735 computations (63.3% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (-.f64 #s(literal 1 binary64) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y z) -1) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 y #s(literal -1/2 binary64))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z #s(approx (+ (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/ x z)) (/.f64 x z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (+.f64 #s(literal -1 binary64) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x #s(approx (/ (- (cos y) (* z (sin y))) x) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(approx (+ (* y (* z 1/6)) -1/2) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) (neg.f64 z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (fma.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z #s(approx (+ (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/ x z)) (/.f64 (+.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (+.f64 #s(approx (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 (*.f64 y y) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) #s(approx (+ (* (+ (* y (+ (* y (/ -1/2 z)) (+ (* y (* y 1/6)) -1))) (/ 1 z)) z) x) (fma.f64 (*.f64 y z) (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (fma.f64 (fma.f64 y #s(approx (+ (* y (/ -1/2 z)) (+ (* y (* y 1/6)) -1)) (/.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (/.f64 #s(literal 1 binary64) z)) z x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(approx (+ (* y (* z 1/6)) -1/2) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))) (neg.f64 z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y (*.f64 z y)))) (-.f64 #s(literal -1 binary64) (*.f64 z y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ x -1) (+.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (fma.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) z)) z x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (fma.f64 z (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z (neg.f64 (sin.f64 y)))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 (sin.f64 y) (neg.f64 z))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 (sin.f64 y) (neg.f64 z))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x #s(approx (/ (- (cos y) (* z (sin y))) x) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (neg.f64 z))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) |
(fma.f64 (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 x (*.f64 z (sin.f64 y)))) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)) (-.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) |
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))))) (/.f64 (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (/.f64 (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z) (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))))) |
(*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 #s(approx (/ 1 (+ (cos y) (+ (* z (sin y)) x))) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)))) |
(*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))) |
(*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))) |
(*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (+.f64 (/.f64 x (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) (*.f64 x x))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z (*.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))))))))) |
| Outputs |
|---|
(*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))) |
4 calls:
| 24.0ms | y |
| 21.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 21.0ms | z |
| 19.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (-.f64 #s(literal 1 binary64) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y z) -1) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 y #s(literal -1/2 binary64))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z #s(approx (+ (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/ x z)) (/.f64 x z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (+.f64 #s(literal -1 binary64) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x #s(approx (/ (- (cos y) (* z (sin y))) x) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(approx (+ (* y (* z 1/6)) -1/2) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) (neg.f64 z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (fma.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z #s(approx (+ (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/ x z)) (/.f64 (+.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (+.f64 #s(approx (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 (*.f64 y y) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) #s(approx (+ (* (+ (* y (+ (* y (/ -1/2 z)) (+ (* y (* y 1/6)) -1))) (/ 1 z)) z) x) (fma.f64 (*.f64 y z) (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (fma.f64 (fma.f64 y #s(approx (+ (* y (/ -1/2 z)) (+ (* y (* y 1/6)) -1)) (/.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (/.f64 #s(literal 1 binary64) z)) z x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(approx (+ (* y (* z 1/6)) -1/2) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))) (neg.f64 z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y (*.f64 z y)))) (-.f64 #s(literal -1 binary64) (*.f64 z y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ x -1) (+.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (fma.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) z)) z x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (fma.f64 z (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z (neg.f64 (sin.f64 y)))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 (sin.f64 y) (neg.f64 z))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 (sin.f64 y) (neg.f64 z))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x #s(approx (/ (- (cos y) (* z (sin y))) x) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 (-.f64 (sin.f64 y) (/.f64 (+.f64 (cos.f64 y) x) z)) (neg.f64 z))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) |
(fma.f64 (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 x (*.f64 z (sin.f64 y)))) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)) (-.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) |
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))))) (/.f64 (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (/.f64 (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z) (+.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))))) |
(*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 #s(approx (/ 1 (+ (cos y) (+ (* z (sin y)) x))) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) |
4 calls:
| 21.0ms | x |
| 19.0ms | y |
| 19.0ms | z |
| 17.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (-.f64 #s(literal 1 binary64) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y z) -1) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 y #s(literal -1/2 binary64))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z #s(approx (+ (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/ x z)) (/.f64 x z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (+.f64 #s(literal -1 binary64) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x #s(approx (/ (- (cos y) (* z (sin y))) x) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(approx (+ (* y (* z 1/6)) -1/2) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) (neg.f64 z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (fma.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z #s(approx (+ (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/ x z)) (/.f64 (+.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (+.f64 #s(approx (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 (*.f64 y y) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) #s(approx (+ (* (+ (* y (+ (* y (/ -1/2 z)) (+ (* y (* y 1/6)) -1))) (/ 1 z)) z) x) (fma.f64 (*.f64 y z) (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (fma.f64 (fma.f64 y #s(approx (+ (* y (/ -1/2 z)) (+ (* y (* y 1/6)) -1)) (/.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (/.f64 #s(literal 1 binary64) z)) z x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(approx (+ (* y (* z 1/6)) -1/2) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))) (neg.f64 z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y (*.f64 z y)))) (-.f64 #s(literal -1 binary64) (*.f64 z y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ x -1) (+.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (fma.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) z)) z x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (fma.f64 z (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z (neg.f64 (sin.f64 y)))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 (sin.f64 y) (neg.f64 z))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 (sin.f64 y) (neg.f64 z))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x #s(approx (/ (- (cos y) (* z (sin y))) x) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
4 calls:
| 69.0ms | z |
| 32.0ms | x |
| 16.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 14.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (-.f64 #s(literal 1 binary64) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y z) -1) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 y #s(literal -1/2 binary64))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z #s(approx (+ (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/ x z)) (/.f64 x z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (+.f64 #s(literal -1 binary64) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x #s(approx (/ (- (cos y) (* z (sin y))) x) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(approx (+ (* y (* z 1/6)) -1/2) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) (neg.f64 z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (fma.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z #s(approx (+ (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/ x z)) (/.f64 (+.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (+.f64 #s(approx (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 (*.f64 y y) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) #s(approx (+ (* (+ (* y (+ (* y (/ -1/2 z)) (+ (* y (* y 1/6)) -1))) (/ 1 z)) z) x) (fma.f64 (*.f64 y z) (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (fma.f64 (fma.f64 y #s(approx (+ (* y (/ -1/2 z)) (+ (* y (* y 1/6)) -1)) (/.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (/.f64 #s(literal 1 binary64) z)) z x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(approx (+ (* y (* z 1/6)) -1/2) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))) (neg.f64 z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y (*.f64 z y)))) (-.f64 #s(literal -1 binary64) (*.f64 z y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ x -1) (+.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (fma.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) z)) z x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (fma.f64 z (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z (neg.f64 (sin.f64 y)))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 (sin.f64 y) (neg.f64 z))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 (sin.f64 y) (neg.f64 z))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x #s(approx (/ (- (cos y) (* z (sin y))) x) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
4 calls:
| 15.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 15.0ms | z |
| 15.0ms | x |
| 14.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 3 | x |
| 89.6% | 1 | y |
| 99.6% | 3 | z |
| 99.4% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (-.f64 #s(literal 1 binary64) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y z) -1) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 y #s(literal -1/2 binary64))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z #s(approx (+ (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/ x z)) (/.f64 x z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (+.f64 #s(literal -1 binary64) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x #s(approx (/ (- (cos y) (* z (sin y))) x) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(approx (+ (* y (* z 1/6)) -1/2) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) (neg.f64 z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (fma.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z #s(approx (+ (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/ x z)) (/.f64 (+.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (+.f64 #s(approx (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 (*.f64 y y) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) #s(approx (+ (* (+ (* y (+ (* y (/ -1/2 z)) (+ (* y (* y 1/6)) -1))) (/ 1 z)) z) x) (fma.f64 (*.f64 y z) (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (fma.f64 (fma.f64 y #s(approx (+ (* y (/ -1/2 z)) (+ (* y (* y 1/6)) -1)) (/.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (/.f64 #s(literal 1 binary64) z)) z x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(approx (+ (* y (* z 1/6)) -1/2) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))) (neg.f64 z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y (*.f64 z y)))) (-.f64 #s(literal -1 binary64) (*.f64 z y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ x -1) (+.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (fma.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) z)) z x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (fma.f64 z (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z (neg.f64 (sin.f64 y)))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 (sin.f64 y) (neg.f64 z))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 (sin.f64 y) (neg.f64 z))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
1 calls:
| 14.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 3 | z |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (-.f64 #s(literal 1 binary64) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y z) -1) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 y #s(literal -1/2 binary64))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z #s(approx (+ (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/ x z)) (/.f64 x z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (+.f64 #s(literal -1 binary64) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x #s(approx (/ (- (cos y) (* z (sin y))) x) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(approx (+ (* y (* z 1/6)) -1/2) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) (neg.f64 z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (fma.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z #s(approx (+ (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/ x z)) (/.f64 (+.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (+.f64 #s(approx (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 (*.f64 y y) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) #s(approx (+ (* (+ (* y (+ (* y (/ -1/2 z)) (+ (* y (* y 1/6)) -1))) (/ 1 z)) z) x) (fma.f64 (*.f64 y z) (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (fma.f64 (fma.f64 y #s(approx (+ (* y (/ -1/2 z)) (+ (* y (* y 1/6)) -1)) (/.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (/.f64 #s(literal 1 binary64) z)) z x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(approx (+ (* y (* z 1/6)) -1/2) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))) (neg.f64 z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y (*.f64 z y)))) (-.f64 #s(literal -1 binary64) (*.f64 z y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ x -1) (+.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (fma.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) z)) z x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (fma.f64 z (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z (neg.f64 (sin.f64 y)))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 (sin.f64 y) (neg.f64 z))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 (sin.f64 y) (neg.f64 z))))) |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 (sin.f64 y) (neg.f64 z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 (sin.f64 y) (neg.f64 z))))) |
3 calls:
| 14.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 13.0ms | x |
| 12.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.8% | 3 | x |
| 99.2% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 94.2% | 3 | z |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (-.f64 #s(literal 1 binary64) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y z) -1) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 y #s(literal -1/2 binary64))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z #s(approx (+ (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/ x z)) (/.f64 x z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (+.f64 #s(literal -1 binary64) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x #s(approx (/ (- (cos y) (* z (sin y))) x) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(approx (+ (* y (* z 1/6)) -1/2) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) (neg.f64 z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (fma.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z #s(approx (+ (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/ x z)) (/.f64 (+.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (+.f64 #s(approx (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 (*.f64 y y) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) #s(approx (+ (* (+ (* y (+ (* y (/ -1/2 z)) (+ (* y (* y 1/6)) -1))) (/ 1 z)) z) x) (fma.f64 (*.f64 y z) (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (fma.f64 (fma.f64 y #s(approx (+ (* y (/ -1/2 z)) (+ (* y (* y 1/6)) -1)) (/.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (/.f64 #s(literal 1 binary64) z)) z x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(approx (+ (* y (* z 1/6)) -1/2) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))) (neg.f64 z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y (*.f64 z y)))) (-.f64 #s(literal -1 binary64) (*.f64 z y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ x -1) (+.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (fma.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) z)) z x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (fma.f64 z (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z (neg.f64 (sin.f64 y)))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 (sin.f64 y) (neg.f64 z))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) |
3 calls:
| 14.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 14.0ms | y |
| 12.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.0% | 4 | y |
| 83.6% | 3 | z |
| 76.0% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (-.f64 #s(literal 1 binary64) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y z) -1) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 y #s(literal -1/2 binary64))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z #s(approx (+ (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/ x z)) (/.f64 x z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (+.f64 #s(literal -1 binary64) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x #s(approx (/ (- (cos y) (* z (sin y))) x) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(approx (+ (* y (* z 1/6)) -1/2) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) (neg.f64 z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (fma.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z #s(approx (+ (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/ x z)) (/.f64 (+.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (+.f64 #s(approx (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 (*.f64 y y) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) #s(approx (+ (* (+ (* y (+ (* y (/ -1/2 z)) (+ (* y (* y 1/6)) -1))) (/ 1 z)) z) x) (fma.f64 (*.f64 y z) (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (fma.f64 (fma.f64 y #s(approx (+ (* y (/ -1/2 z)) (+ (* y (* y 1/6)) -1)) (/.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (/.f64 #s(literal 1 binary64) z)) z x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(approx (+ (* y (* z 1/6)) -1/2) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))) (neg.f64 z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y (*.f64 z y)))) (-.f64 #s(literal -1 binary64) (*.f64 z y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ x -1) (+.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (fma.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) z)) z x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (fma.f64 z (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 (cos.f64 y) x)) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
2 calls:
| 44.0ms | y |
| 11.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.7% | 3 | y |
| 78.4% | 3 | z |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (-.f64 #s(literal 1 binary64) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y z) -1) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 y #s(literal -1/2 binary64))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z #s(approx (+ (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/ x z)) (/.f64 x z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (+.f64 #s(literal -1 binary64) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x #s(approx (/ (- (cos y) (* z (sin y))) x) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(approx (+ (* y (* z 1/6)) -1/2) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) (neg.f64 z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (fma.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z #s(approx (+ (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/ x z)) (/.f64 (+.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (+.f64 #s(approx (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 (*.f64 y y) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) #s(approx (+ (* (+ (* y (+ (* y (/ -1/2 z)) (+ (* y (* y 1/6)) -1))) (/ 1 z)) z) x) (fma.f64 (*.f64 y z) (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (fma.f64 (fma.f64 y #s(approx (+ (* y (/ -1/2 z)) (+ (* y (* y 1/6)) -1)) (/.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (/.f64 #s(literal 1 binary64) z)) z x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(approx (+ (* y (* z 1/6)) -1/2) (*.f64 y (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))) (neg.f64 z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y (*.f64 z y)))) (-.f64 #s(literal -1 binary64) (*.f64 z y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ x -1) (+.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) x))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (fma.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) z)) z x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (fma.f64 z (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/2 binary64) z) (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))) |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x #s(approx (/ (- (cos y) (* z (sin y))) x) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
4 calls:
| 15.0ms | z |
| 11.0ms | y |
| 11.0ms | x |
| 10.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.6% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 68.3% | 3 | z |
| 69.3% | 3 | x |
| 70.7% | 3 | y |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (-.f64 #s(literal 1 binary64) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y z) -1) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 y #s(literal -1/2 binary64))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z #s(approx (+ (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/ x z)) (/.f64 x z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (+.f64 #s(literal -1 binary64) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x #s(approx (/ (- (cos y) (* z (sin y))) x) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(approx (+ (* y (* z 1/6)) -1/2) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) (neg.f64 z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (fma.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x #s(approx (/ (- (cos y) (* z (sin y))) x) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(approx (+ (* y (* z 1/6)) -1/2) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) (neg.f64 z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
1 calls:
| 13.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.6% | 3 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (-.f64 #s(literal 1 binary64) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y z) -1) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 y #s(literal -1/2 binary64))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z #s(approx (+ (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/ x z)) (/.f64 x z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (+.f64 #s(literal -1 binary64) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x #s(approx (/ (- (cos y) (* z (sin y))) x) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 y (*.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (fma.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x) (*.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x #s(approx (/ (- (cos y) (* z (sin y))) x) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
1 calls:
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.6% | 3 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (-.f64 #s(literal 1 binary64) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y z) -1) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 y #s(literal -1/2 binary64))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z #s(approx (+ (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/ x z)) (/.f64 x z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (+.f64 #s(literal -1 binary64) (neg.f64 x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)))))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
1 calls:
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.6% | 3 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (-.f64 #s(literal 1 binary64) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y z) -1) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 y #s(literal -1/2 binary64))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (*.f64 z #s(approx (+ (+ (* (* y y) (/ -1/2 z)) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ 1 z))) (/ x z)) (/.f64 x z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (/ 1 (+ x -1)) (+.f64 #s(literal -1 binary64) (neg.f64 x))))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
1 calls:
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.5% | 3 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (-.f64 #s(literal 1 binary64) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y z) -1) (*.f64 y z)))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (-.f64 #s(literal 1 binary64) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
2 calls:
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.4% | 3 | x |
| 61.7% | 1 | y |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (*.f64 y (neg.f64 z)))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (*.f64 y (neg.f64 z)))) |
3 calls:
| 14.0ms | x |
| 2.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.7% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 63.5% | 2 | z |
| 61.7% | 1 | x |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
2 calls:
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.7% | 1 | x |
| 61.7% | 1 | z |
Compiled 8 to 6 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
4 calls:
| 1.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 25.3% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 25.3% | 1 | y |
| 25.3% | 1 | z |
| 25.3% | 1 | x |
Compiled 24 to 17 computations (29.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 0.008656913240177458 | 59.526210012256875 |
| 23.0ms | -4.5227290887991624e+85 | -8.703957287027335e+74 |
| 29.0ms | 288× | 0 | valid |
Compiled 411 to 284 computations (30.9% saved)
ival-cos: 7.0ms (35.4% of total)ival-sin: 6.0ms (30.3% of total)ival-sub: 3.0ms (15.2% of total)ival-mult: 2.0ms (10.1% of total)ival-add: 1.0ms (5.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.008656913240177458 | 59.526210012256875 |
| 1.0ms | -4.5227290887991624e+85 | -8.703957287027335e+74 |
Compiled 411 to 284 computations (30.9% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2953655095974623.0 | 360049564745865000.0 |
| 0.0ms | -42122617066.96929 | -509891.5394598862 |
Compiled 15 to 14 computations (6.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 7.13034359877382e+94 | 2.5283567671949623e+113 |
| 23.0ms | -2.907927282700253e+135 | -1.3271758302799693e+122 |
| 33.0ms | 320× | 0 | valid |
Compiled 395 to 274 computations (30.6% saved)
ival-sin: 10.0ms (45.4% of total)ival-cos: 7.0ms (31.8% of total)ival-add: 2.0ms (9.1% of total)ival-mult: 2.0ms (9.1% of total)ival-sub: 1.0ms (4.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 9.215677070676279e-26 | 3.6132119530980317e-22 |
| 11.0ms | -0.4733828938405597 | -0.006153813508258021 |
| 13.0ms | 240× | 0 | valid |
Compiled 525 to 314 computations (40.2% saved)
ival-cos: 2.0ms (25.6% of total)ival-mult: 2.0ms (25.6% of total)ival-sin: 2.0ms (25.6% of total)ival-sub: 1.0ms (12.8% of total)ival-add: 1.0ms (12.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 155.0ms | 3.876240443642528e+21 | 5.710237351114951e+24 |
| 12.0ms | -2.8938670453530146e+84 | -7.820724207880593e+83 |
| 22.0ms | 208× | 0 | valid |
Compiled 404 to 271 computations (32.9% saved)
ival-cos: 7.0ms (41.3% of total)ival-sin: 7.0ms (41.3% of total)ival-sub: 1.0ms (5.9% of total)ival-add: 1.0ms (5.9% of total)ival-mult: 1.0ms (5.9% 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 |
|---|---|---|
| 21.0ms | 1934387441985806.3 | 3.876240443642528e+21 |
| 1.0ms | -2.8938670453530146e+84 | -7.820724207880593e+83 |
| 15.0ms | 144× | 0 | valid |
Compiled 432 to 276 computations (36.1% saved)
ival-cos: 5.0ms (42.3% of total)ival-sin: 5.0ms (42.3% of total)ival-sub: 1.0ms (8.5% of total)ival-add: 1.0ms (8.5% of total)ival-mult: 1.0ms (8.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 3.876240443642528e+21 | 5.710237351114951e+24 |
| 19.0ms | -1.4338718344056933e+68 | -3.3963962654293984e+64 |
| 14.0ms | 128× | 0 | valid |
Compiled 423 to 286 computations (32.4% saved)
ival-cos: 4.0ms (37.2% of total)ival-sin: 4.0ms (37.2% of total)ival-sub: 1.0ms (9.3% of total)ival-add: 1.0ms (9.3% of total)ival-mult: 1.0ms (9.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.876240443642528e+21 | 5.710237351114951e+24 |
| 1.0ms | -1.4338718344056933e+68 | -3.3963962654293984e+64 |
Compiled 383 to 270 computations (29.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 9.215677070676279e-26 | 3.6132119530980317e-22 |
| 23.0ms | -7.820724207880593e+83 | -6.8162180758466464e+75 |
| 18.0ms | 144× | 0 | valid |
Compiled 338 to 235 computations (30.5% saved)
ival-sin: 6.0ms (43.2% of total)ival-cos: 5.0ms (36% of total)ival-sub: 1.0ms (7.2% of total)ival-add: 1.0ms (7.2% of total)ival-mult: 1.0ms (7.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 6.440886858904023e-24 | 5.160236619057011e-20 |
| 17.0ms | -509892.5394598862 | -195.0061575567955 |
| 22.0ms | 256× | 0 | valid |
Compiled 319 to 222 computations (30.4% saved)
ival-cos: 5.0ms (35.3% of total)ival-sin: 4.0ms (28.3% of total)ival-mult: 2.0ms (14.1% of total)ival-sub: 1.0ms (7.1% of total)ival-add: 1.0ms (7.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 1.1189090129872019e+204 | 9.086763639437894e+206 |
| 17.0ms | 128× | 0 | valid |
Compiled 159 to 110 computations (30.8% saved)
ival-mult: 7.0ms (50.4% of total)ival-cos: 3.0ms (21.6% of total)ival-sin: 2.0ms (14.4% of total)ival-sub: 1.0ms (7.2% of total)ival-add: 1.0ms (7.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 46× | +-commutative_binary64 |
| 38× | *-commutative_binary64 |
| 28× | sub-neg_binary64 |
| 16× | cancel-sign-sub-inv_binary64 |
| 14× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 813 |
| 1 | 198 | 813 |
| 2 | 225 | 813 |
| 3 | 237 | 813 |
| 4 | 242 | 813 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 z #s(literal -880000000000000047840670533432774340625093293256913917345338414202217299968 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 8286623314361713/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))))) |
(if (<=.f64 z #s(literal -880000000000000047840670533432774340625093293256913917345338414202217299968 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 8286623314361713/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -40000000000 binary64)) #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 (sin.f64 y) (neg.f64 z))))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 5000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 (sin.f64 y) (neg.f64 z))))))) |
(if (<=.f64 z #s(literal -219999999999999988526023341384805833064084322961679367417362864922180013058841502945256220317708598741888594526302842405906964021248 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) (if (<=.f64 z #s(literal 300000000000000007070810254251076749974859838517064558938973761780484500539848519779492808477734853078694232064 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))))) |
(if (<=.f64 y #s(literal -1080863910568919/36028797018963968 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 7656353255721115/21267647932558653966460912964485513216 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)))) |
(if (<=.f64 y #s(literal -800000000000000024645330584772205526216201632061146770768717952555311882330651492352 binary64)) #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x #s(approx (/ (- (cos y) (* z (sin y))) x) (/.f64 #s(literal 1 binary64) x))))) (if (<=.f64 y #s(literal 4100000000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -800000000000000024645330584772205526216201632061146770768717952555311882330651492352 binary64)) #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x #s(approx (/ (- (cos y) (* z (sin y))) x) (/.f64 #s(literal 1 binary64) x))))) (if (<=.f64 y #s(literal 36000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(approx (+ (* y (* z 1/6)) -1/2) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) (neg.f64 z)) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -34999999999999998553962209334549513225016776419954243653202870272 binary64)) #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x #s(approx (/ (- (cos y) (* z (sin y))) x) (/.f64 #s(literal 1 binary64) x))))) (if (<=.f64 y #s(literal 4100000000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -34999999999999998553962209334549513225016776419954243653202870272 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 4100000000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -7099999999999999819906780758051945909579447450413275035532925759284049870848 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 7656353255721115/21267647932558653966460912964485513216 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -200 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal 2076918743413931/41538374868278621028243970633760768 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (-.f64 #s(literal 1 binary64) (*.f64 y z)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 z #s(literal 849999999999999961771406268078329875342960279942165161884874821306627086159888530310005220031376297637387235817572191435215863109567605044548144849889567270314860862572647328691398087485935697819329791787008 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (*.f64 y (neg.f64 z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 z #s(literal -880000000000000047840670533432774340625093293256913917345338414202217299968 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 8286623314361713/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))))) |
(if (<=.f64 z #s(literal -880000000000000047840670533432774340625093293256913917345338414202217299968 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 8286623314361713/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))))) |
(if (<=.f64 z #s(literal -880000000000000047840670533432774340625093293256913917345338414202217299968 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 8286623314361713/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -880000000000000047840670533432774340625093293256913917345338414202217299968 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 8286623314361713/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -40000000000 binary64)) #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 (sin.f64 y) (neg.f64 z))))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 5000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (*.f64 (sin.f64 y) (neg.f64 z))))))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -40000000000 binary64)) #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (neg.f64 (*.f64 z (sin.f64 y)))))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 5000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x #s(approx (* x (/ (- (cos y) (* z (sin y))) x)) (neg.f64 (*.f64 z (sin.f64 y)))))))) |
(if (<=.f64 z #s(literal -219999999999999988526023341384805833064084322961679367417362864922180013058841502945256220317708598741888594526302842405906964021248 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) (if (<=.f64 z #s(literal 300000000000000007070810254251076749974859838517064558938973761780484500539848519779492808477734853078694232064 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))))) |
(if (<=.f64 z #s(literal -219999999999999988526023341384805833064084322961679367417362864922180013058841502945256220317708598741888594526302842405906964021248 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) (if (<=.f64 z #s(literal 300000000000000007070810254251076749974859838517064558938973761780484500539848519779492808477734853078694232064 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))))) |
(if (<=.f64 y #s(literal -1080863910568919/36028797018963968 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 7656353255721115/21267647932558653966460912964485513216 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)))) |
(if (<=.f64 y #s(literal -1080863910568919/36028797018963968 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 7656353255721115/21267647932558653966460912964485513216 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))))) |
(if (<=.f64 y #s(literal -800000000000000024645330584772205526216201632061146770768717952555311882330651492352 binary64)) #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x #s(approx (/ (- (cos y) (* z (sin y))) x) (/.f64 #s(literal 1 binary64) x))))) (if (<=.f64 y #s(literal 4100000000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -800000000000000024645330584772205526216201632061146770768717952555311882330651492352 binary64)) #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x #s(approx (/ (- (cos y) (* z (sin y))) x) (/.f64 #s(literal 1 binary64) x))))) (if (<=.f64 y #s(literal 36000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(approx (+ (* y (* z 1/6)) -1/2) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) (neg.f64 z)) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -34999999999999998553962209334549513225016776419954243653202870272 binary64)) #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 x (*.f64 x #s(approx (/ (- (cos y) (* z (sin y))) x) (/.f64 #s(literal 1 binary64) x))))) (if (<=.f64 y #s(literal 4100000000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -34999999999999998553962209334549513225016776419954243653202870272 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 4100000000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -7099999999999999819906780758051945909579447450413275035532925759284049870848 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 7656353255721115/21267647932558653966460912964485513216 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -200 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal 2076918743413931/41538374868278621028243970633760768 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (-.f64 #s(literal 1 binary64) (*.f64 y z)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -200 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal 2076918743413931/41538374868278621028243970633760768 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (-.f64 #s(literal 1 binary64) (*.f64 z y)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 z #s(literal 849999999999999961771406268078329875342960279942165161884874821306627086159888530310005220031376297637387235817572191435215863109567605044548144849889567270314860862572647328691398087485935697819329791787008 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (*.f64 y (neg.f64 z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
| 14 948× | lower-fma.f64 |
| 14 948× | lower-fma.f32 |
| 12 396× | lower-fma.f64 |
| 12 396× | lower-fma.f32 |
| 7 468× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 338 | 6599 |
| 1 | 1030 | 6367 |
| 2 | 3126 | 6248 |
| 0 | 8132 | 5888 |
| 0 | 674 | 7397 |
| 1 | 2116 | 7132 |
| 2 | 6974 | 7039 |
| 0 | 8127 | 6708 |
| 0 | 34 | 216 |
| 0 | 58 | 248 |
| 1 | 270 | 194 |
| 2 | 2538 | 194 |
| 0 | 8448 | 194 |
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 47 | 21 |
| 2 | 388 | 21 |
| 3 | 5630 | 21 |
| 0 | 8225 | 21 |
| 0 | 118 | 674 |
| 1 | 334 | 669 |
| 2 | 869 | 661 |
| 3 | 2601 | 657 |
| 4 | 5310 | 657 |
| 5 | 7449 | 657 |
| 0 | 8079 | 629 |
| 0 | 757 | 8329 |
| 1 | 2337 | 7932 |
| 2 | 7428 | 7879 |
| 0 | 8254 | 7483 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 970 to 442 computations (54.4% saved)
Compiled 866 to 232 computations (73.2% saved)
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