
Time bar (total: 10.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 787.0ms | 8 255× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
ival-cos: 189.0ms (36.3% of total)ival-sin: 177.0ms (34% of total)ival-mult: 69.0ms (13.3% of total)ival-add: 43.0ms (8.3% of total)ival-sub: 34.0ms (6.5% of total)ival-true: 6.0ms (1.2% of total)ival-assert: 3.0ms (0.6% 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 |
| 80.0ms | 512× | 0 | valid |
Compiled 76 to 36 computations (52.6% saved)
ival-cos: 36.0ms (57.1% of total)ival-sin: 19.0ms (30.1% of total)ival-mult: 3.0ms (4.8% of total)ival-sub: 2.0ms (3.2% of total)ival-add: 2.0ms (3.2% 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% | (cos.f64 y) |
| ✓ | accuracy | 100.0% | (+.f64 x (cos.f64 y)) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| 22.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-cos: 6.0ms (41.1% of total)ival-sin: 5.0ms (34.2% of total)ival-mult: 2.0ms (13.7% of total)ival-sub: 1.0ms (6.8% of total)ival-add: 1.0ms (6.8% 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 | z | @ | 0 | (* z (sin y)) |
| 1.0ms | x | @ | 0 | (- (+ x (cos y)) (* z (sin y))) |
| 1.0ms | z | @ | 0 | (- (+ x (cos y)) (* z (sin y))) |
| 0.0ms | y | @ | inf | (- (+ x (cos y)) (* z (sin y))) |
| 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)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 281 | 10 | 291 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 282 | 10 | 292 |
| Status | Accuracy | Program |
|---|---|---|
| 74.7% | (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) | |
| ▶ | 89.0% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 56.2% | (-.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 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)))))) |
| ▶ | 56.5% | #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)))) |
| 65.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) | |
| ▶ | 73.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
| ▶ | 63.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
| 55.9% | #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))) | |
| 27.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) |
Compiled 310 to 180 computations (41.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (+.f64 (cos.f64 y) x) |
| ✓ | cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
| ✓ | cost-diff | 0 | (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 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)))) |
| ✓ | 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 | (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 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))))) |
| ✓ | 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 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))) |
| 21 220× | lower-fma.f32 |
| 21 216× | lower-fma.f64 |
| 4 712× | lower-*.f32 |
| 4 704× | lower-*.f64 |
| 2 548× | lower-+.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 218 |
| 0 | 50 | 238 |
| 1 | 87 | 232 |
| 2 | 193 | 196 |
| 3 | 822 | 196 |
| 4 | 5331 | 196 |
| 0 | 8209 | 196 |
| 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 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) (+.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)) |
(/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
#s(literal 1 binary64) |
#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))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
y |
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
(*.f64 y #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
z |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
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 |
| 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 #s(literal 1 binary64) (+.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))) |
(fma.f64 z (sin.f64 y) (+.f64 x (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 #s(literal 1 binary64) (+.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)) (fma.f64 z (sin.f64 y) (+.f64 x (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)) |
(/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) |
#s(literal 1 binary64) |
#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))) (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 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x))) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) |
y |
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
(*.f64 y #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
z |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) |
(+.f64 (cos.f64 y) x) |
(+.f64 x (cos.f64 y)) |
(cos.f64 y) |
y |
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 |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| ✓ | accuracy | 56.9% | #s(approx (cos y) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 100.0% | (+.f64 (cos.f64 y) x) |
| ✓ | accuracy | 73.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 56.5% | #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)))) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 63.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 z (sin.f64 y) (cos.f64 y)) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
| ✓ | accuracy | 99.7% | (*.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))))) |
| 106.0ms | 256× | 0 | valid |
Compiled 201 to 25 computations (87.6% saved)
ival-mult: 40.0ms (45.3% of total)ival-sub: 27.0ms (30.6% of total)ival-add: 7.0ms (7.9% of total)ival-sin: 6.0ms (6.8% of total)ival-cos: 5.0ms (5.7% of total)ival-div: 2.0ms (2.3% 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 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))> |
#<alt (*.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)))))> |
#<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))) (+.f64 x #s(literal 1 binary64)))> |
#<alt (+.f64 x #s(literal 1 binary64))> |
#<alt #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))))> |
#<alt (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))> |
#<alt (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)> |
#<alt (*.f64 y #s(literal -1/2 binary64))> |
#<alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))> |
#<alt (+.f64 (cos.f64 y) x)> |
#<alt (cos.f64 y)> |
#<alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))> |
#<alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))> |
#<alt #s(approx (cos y) #s(literal 1 binary64))> |
#<alt (*.f64 z (sin.f64 y))> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.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 (+ 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))) (+ (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 (+ (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 (- (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 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))> |
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2))> |
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))> |
#<alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))> |
#<alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))> |
#<alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))> |
#<alt (* -1 (* y z))> |
#<alt (* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))> |
#<alt (* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))> |
#<alt (* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))> |
#<alt (* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))> |
#<alt (* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))> |
#<alt (+ 1 (* y (- (* -1/2 y) z)))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))> |
#<alt (* -1 z)> |
#<alt (- (* -1/2 y) z)> |
#<alt (- (* -1/2 y) z)> |
#<alt (- (* -1/2 y) z)> |
#<alt (* -1/2 y)> |
#<alt (* y (- (* -1 (/ z y)) 1/2))> |
#<alt (* y (- (* -1 (/ z y)) 1/2))> |
#<alt (* y (- (* -1 (/ z y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (/ z y))))> |
#<alt (* -1 (* y (+ 1/2 (/ z y))))> |
#<alt (* -1 (* y (+ 1/2 (/ z y))))> |
#<alt (* -1/2 y)> |
#<alt (+ (* -1 z) (* -1/2 y))> |
#<alt (+ (* -1 z) (* -1/2 y))> |
#<alt (+ (* -1 z) (* -1/2 y))> |
#<alt (* -1 z)> |
#<alt (* z (- (* -1/2 (/ y z)) 1))> |
#<alt (* z (- (* -1/2 (/ y z)) 1))> |
#<alt (* z (- (* -1/2 (/ y z)) 1))> |
#<alt (* -1 z)> |
#<alt (* -1 (* z (+ 1 (* 1/2 (/ y z)))))> |
#<alt (* -1 (* z (+ 1 (* 1/2 (/ y z)))))> |
#<alt (* -1 (* z (+ 1 (* 1/2 (/ y z)))))> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (- (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 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 (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> |
#<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 (- (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 (+ (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 (/ 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 (+ 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 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)> |
126 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | y | @ | inf | (+ (cos y) x) |
| 2.0ms | z | @ | -inf | (* (+ x (- (cos y) (* z (sin y)))) (/ 1 (+ x (+ (* z (sin y)) (cos y))))) |
| 1.0ms | z | @ | inf | (* (+ x (- (cos y) (* z (sin y)))) (/ 1 (+ x (+ (* z (sin y)) (cos y))))) |
| 1.0ms | x | @ | 0 | (* (+ x (- (cos y) (* z (sin y)))) (/ 1 (+ x (+ (* z (sin y)) (cos y))))) |
| 1.0ms | y | @ | 0 | (* (+ x (- (cos y) (* z (sin y)))) (/ 1 (+ x (+ (* z (sin y)) (cos y))))) |
| 1× | egg-herbie |
| 7 350× | lower-fma.f64 |
| 7 350× | lower-fma.f32 |
| 5 282× | lower-*.f64 |
| 5 282× | lower-*.f32 |
| 3 194× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 564 | 5909 |
| 1 | 1757 | 5723 |
| 2 | 5563 | 5599 |
| 0 | 8329 | 5345 |
| 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))) (+ (cos y) (* z (sin y)))) |
(- (+ (* 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))))) |
(- (+ (* 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))))) |
(- (+ (* 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))))) |
1 |
(+ 1 (* -2 (/ (* z (sin y)) x))) |
(- (+ 1 (* 2 (/ (* z (* (sin y) (+ (cos y) (* z (sin y))))) (pow x 2)))) (* 2 (/ (* z (sin y)) x))) |
(- (+ 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)))) |
1 |
(+ 1 (* -1 (/ (- (* -1 (- (cos y) (* z (sin y)))) (* -1 (+ (cos y) (* z (sin y))))) x))) |
(+ 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))) |
(+ 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))) |
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)) (* 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 (+ (cos y) (* z (sin y))))) |
(/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y))))) |
1 |
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(/ 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 (+ 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))))) |
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 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))) |
(neg.f64 (-.f64 (*.f64 x (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(neg.f64 (-.f64 (*.f64 x (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(neg.f64 (-.f64 (*.f64 x (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)) x)) |
(+ 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 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))) |
(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))) |
(+ 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)))) |
(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)))) |
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #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) (-.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)))) |
(/ (- (cos y) (* z (sin y))) (+ (cos y) (* z (sin y)))) |
(/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (cos.f64 y))) |
(- (+ (* 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))))) |
(fma.f64 x (-.f64 (fma.f64 z (/.f64 (sin.f64 y) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y)))) (/.f64 (cos.f64 y) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(- (+ (* 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))))) |
(fma.f64 x (fma.f64 x (-.f64 (/.f64 (cos.f64 y) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 z (/.f64 (sin.f64 y) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))))) (-.f64 (fma.f64 z (/.f64 (sin.f64 y) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y)))) (/.f64 (cos.f64 y) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))))) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(- (+ (* 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))))) |
(fma.f64 x (fma.f64 x (fma.f64 x (-.f64 (fma.f64 z (/.f64 (sin.f64 y) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64)))) (/.f64 (cos.f64 y) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 4 binary64)))) (-.f64 (/.f64 (cos.f64 y) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 z (/.f64 (sin.f64 y) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)))))) (-.f64 (fma.f64 z (/.f64 (sin.f64 y) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y)))) (/.f64 (cos.f64 y) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))))) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(- (+ 1 (* 2 (/ (* z (* (sin y) (+ (cos y) (* z (sin y))))) (pow x 2)))) (* 2 (/ (* z (sin y)) x))) |
(fma.f64 #s(literal 2 binary64) (-.f64 (*.f64 (*.f64 z (sin.f64 y)) (/.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (*.f64 x x))) (/.f64 (*.f64 z (sin.f64 y)) x)) #s(literal 1 binary64)) |
(- (+ 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)))) |
(fma.f64 z (*.f64 (*.f64 (sin.f64 y) (/.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x (*.f64 x x)))) #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) (-.f64 (*.f64 (*.f64 z (sin.f64 y)) (/.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (*.f64 x x))) (/.f64 (*.f64 z (sin.f64 y)) x)) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* -1 (- (cos y) (* z (sin y)))) (* -1 (+ (cos y) (* z (sin y))))) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) (fma.f64 z (sin.f64 y) (cos.f64 y)))) x)) |
(+ 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))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (fma.f64 (-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) (fma.f64 z (sin.f64 y) (cos.f64 y)))) (/.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x) (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))) x)) |
(+ 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))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (/.f64 (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) x) (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) (fma.f64 z (sin.f64 y) (cos.f64 y)))))) x) (-.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) (fma.f64 z (sin.f64 y) (cos.f64 y))))) 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 (/.f64 (*.f64 z (*.f64 (/.f64 z (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64))) (-.f64 #s(literal -1 binary64) x)) (*.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 z (/.f64 (/.f64 (*.f64 z (*.f64 (/.f64 z (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64))) (-.f64 #s(literal -1 binary64) x)) (+.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 (+.f64 x #s(literal 1 binary64))) #s(literal -1/6 binary64))))) (/.f64 (*.f64 z (*.f64 (/.f64 z (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64))) (-.f64 #s(literal -1 binary64) x))) (*.f64 (/.f64 z (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64))) #s(literal 1 binary64)) |
(/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y))))) |
(/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) |
(/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y))))) |
(/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) |
(/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y))))) |
(/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) |
(/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y))))) |
(/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) |
(/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y))))) |
(/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) |
(/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y))))) |
(/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) |
(/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y))))) |
(/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) |
(/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y))))) |
(/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (fma.f64 z (sin.f64 y) (+.f64 (cos.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 z (*.f64 (*.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -2 binary64)) (neg.f64 (/.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 z (*.f64 (*.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -2 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -2 binary64)) (neg.f64 (/.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 x (*.f64 z (sin.f64 y))) (+.f64 (/.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))) |
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(fma.f64 y (fma.f64 y (fma.f64 z (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(+ (* 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))) |
(fma.f64 y (fma.f64 y (fma.f64 (neg.f64 y) (fma.f64 z (/.f64 (fma.f64 z (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (+.f64 x #s(literal 1 binary64))) (fma.f64 z (/.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))) (fma.f64 z (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) 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 |
| 4 962× | lower-/.f32 |
| 4 960× | lower-/.f64 |
| 4 776× | lower-*.f32 |
| 4 768× | lower-*.f64 |
| 4 490× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 174 |
| 0 | 50 | 170 |
| 1 | 218 | 152 |
| 2 | 2121 | 152 |
| 0 | 9548 | 152 |
| 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 #s(literal 1 binary64) (+.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 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))) (+.f64 x #s(literal 1 binary64))) |
(+.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)))) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
(*.f64 y #s(literal -1/2 binary64)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 z (sin.f64 y)) |
(/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(sin.f64 y) |
| Outputs |
|---|
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) |
(+.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 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.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 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 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 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 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.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 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.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 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) |
(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 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 #s(literal 1 binary64) x (fma.f64 (sin.f64 y) (neg.f64 z) (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))) 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 #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 x (-.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) (*.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)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(fma.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x) |
(fma.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))))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y))) |
(fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))) x) |
(fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) x) |
(fma.f64 (/.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))))) x) |
(fma.f64 (/.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (-.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (-.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x))) (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.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 (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 (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 2 binary64))))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))))) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))))) (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))))) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x))) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))))))) |
(/.f64 (neg.f64 (neg.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)))))))) (neg.f64 (neg.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.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)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))))) |
(/.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 x (*.f64 z (sin.f64 y))) (-.f64 x (*.f64 z (sin.f64 y)))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 x (*.f64 z (sin.f64 y))))))) |
(/.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (pow.f64 (+.f64 x (*.f64 (sin.f64 y) (neg.f64 z))) #s(literal 3 binary64))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64)) (-.f64 (*.f64 (+.f64 x (*.f64 (sin.f64 y) (neg.f64 z))) (+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) (+.f64 x (*.f64 (sin.f64 y) (neg.f64 z))))))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (+.f64 (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) x)))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))))) (-.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.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))))))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))))))) |
(*.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(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)))) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (-.f64 x #s(approx (cos y) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) |
(fma.f64 x #s(literal 1 binary64) #s(approx (cos y) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) x #s(approx (cos y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (-.f64 x #s(approx (cos y) #s(literal 1 binary64))))))) |
(/.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))) |
(/.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 x (*.f64 x x))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))) |
(/.f64 (neg.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (-.f64 x #s(approx (cos y) #s(literal 1 binary64))))) (neg.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 x x)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))))) (*.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64))) (-.f64 x #s(approx (cos y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))))) (neg.f64 (neg.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 x x))) (neg.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) |
(pow.f64 (/.f64 (fma.f64 x x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (-.f64 x #s(approx (cos y) #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))) |
(*.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (-.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(approx (cos y) #s(literal 1 binary64))))) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) #s(literal -1 binary64))) |
(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 z (sin.f64 y) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))))) |
(pow.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.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))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))) |
(*.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 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))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.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 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) #s(literal -1 binary64))) |
(sin.f64 y) |
Compiled 49 852 to 3 045 computations (93.9% saved)
27 alts after pruning (24 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 463 | 21 | 1 484 |
| Fresh | 2 | 3 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 467 | 27 | 1 494 |
| Status | Accuracy | Program |
|---|---|---|
| 46.9% | (/.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))) | |
| ✓ | 89.0% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| ▶ | 56.2% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
| 55.3% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y)))) | |
| ▶ | 56.5% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) |
| 57.3% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))) | |
| 56.2% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| 27.3% | (*.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) #s(approx (+ x (+ (* z (sin y)) (cos y))) (*.f64 z (sin.f64 y)))))) | |
| 27.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(approx (+ x 1) #s(literal 1 binary64)))) | |
| 45.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) z))) (+.f64 x #s(literal 1 binary64)))) | |
| 56.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (- (* y -1/2) z) (*.f64 z (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64)))) | |
| 25.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))))) | |
| 33.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) | |
| 33.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) | |
| ▶ | 65.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
| ✓ | 73.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
| 47.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) | |
| 48.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) | |
| ✓ | 63.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
| 33.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.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)) x)))) | |
| ▶ | 27.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) |
| 51.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) #s(literal 1 binary64))))) | |
| 47.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 x z) y))))) | |
| 3.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) | |
| 9.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z)))) | |
| 30.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) | |
| ▶ | 21.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
Compiled 997 to 520 computations (47.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 z (sin.f64 y)) |
| ✓ | cost-diff | 0 | (neg.f64 (*.f64 z (sin.f64 y))) |
| ✓ | cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) |
| ✓ | cost-diff | 0 | (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) |
| ✓ | 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 #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
| ✓ | cost-diff | 0 | (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) 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 #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) |
| ✓ | 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 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)))) |
| 3 552× | lower-fma.f32 |
| 3 544× | lower-fma.f64 |
| 1 492× | unsub-neg |
| 1 408× | lower-*.f32 |
| 1 396× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 256 |
| 0 | 57 | 246 |
| 1 | 111 | 242 |
| 2 | 213 | 242 |
| 3 | 365 | 242 |
| 4 | 596 | 242 |
| 5 | 796 | 242 |
| 6 | 1223 | 242 |
| 7 | 2001 | 242 |
| 8 | 3472 | 242 |
| 9 | 4500 | 242 |
| 10 | 4546 | 242 |
| 11 | 4547 | 242 |
| 12 | 4551 | 242 |
| 13 | 4555 | 242 |
| 0 | 4555 | 238 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#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))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (+ x 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) |
(+.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 #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))) |
z |
#s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) |
z |
#s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 y (*.f64 y y)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
| Outputs |
|---|
#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))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (+ x 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) 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 #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))) |
(*.f64 z #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) |
z |
#s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) |
#s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
(fma.f64 z (neg.f64 #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) |
(*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) |
z |
#s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
#s(approx (sin y) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 y (*.f64 y y)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 100.0% | (neg.f64 (*.f64 z (sin.f64 y))) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| ✓ | accuracy | 27.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) |
| ✓ | accuracy | 99.8% | (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) |
| ✓ | accuracy | 99.8% | (*.f64 y (*.f64 y y)) |
| ✓ | accuracy | 56.9% | #s(approx (cos y) #s(literal 1 binary64)) |
| ✓ | accuracy | 53.0% | #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
| ✓ | accuracy | 99.8% | (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
| ✓ | accuracy | 56.9% | #s(approx (cos y) #s(literal 1 binary64)) |
| ✓ | accuracy | 52.9% | #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) |
| ✓ | accuracy | 63.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
| ✓ | accuracy | 49.7% | #s(approx (+ x 1) #s(literal 1 binary64)) |
| ✓ | 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 | 65.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
| 66.0ms | 256× | 0 | valid |
Compiled 162 to 28 computations (82.7% saved)
ival-mult: 16.0ms (34.4% of total)ival-add: 8.0ms (17.2% of total)ival-sin: 6.0ms (12.9% of total)ival-cos: 6.0ms (12.9% of total)const: 6.0ms (12.9% of total)ival-sub: 2.0ms (4.3% of total)ival-neg: 1.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<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))) #s(approx (+ x 1) #s(literal 1 binary64)))> |
#<alt #s(approx (+ x 1) #s(literal 1 binary64))> |
#<alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))> |
#<alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))> |
#<alt #s(approx (cos y) #s(literal 1 binary64))> |
#<alt (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))> |
#<alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))))> |
#<alt (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))> |
#<alt #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))> |
#<alt (neg.f64 (*.f64 z (sin.f64 y)))> |
#<alt (*.f64 z (sin.f64 y))> |
#<alt (sin.f64 y)> |
#<alt #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))> |
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 y y))> |
#<alt #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))> |
#<alt (*.f64 y (*.f64 y 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 (- 1 (* y z))> |
#<alt (- (+ 1 x) (* y z))> |
#<alt (- (+ 1 x) (* y z))> |
#<alt (- (+ 1 x) (* y z))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))> |
#<alt (* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))> |
#<alt (* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (* -1 (* y z))> |
#<alt (* y (- (+ (/ 1 y) (/ x y)) z))> |
#<alt (* y (- (+ (/ 1 y) (/ x y)) z))> |
#<alt (* y (- (+ (/ 1 y) (/ x y)) z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))> |
#<alt (* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))> |
#<alt (* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (* -1 (* y z))> |
#<alt (* z (- (+ (/ 1 z) (/ x z)) y))> |
#<alt (* z (- (+ (/ 1 z) (/ x z)) y))> |
#<alt (* z (- (+ (/ 1 z) (/ x z)) y))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))> |
#<alt -1> |
#<alt (- (* y z) 1)> |
#<alt (- (* y z) 1)> |
#<alt (- (* y z) 1)> |
#<alt (* y z)> |
#<alt (* y (- z (/ 1 y)))> |
#<alt (* y (- z (/ 1 y)))> |
#<alt (* y (- z (/ 1 y)))> |
#<alt (* y z)> |
#<alt (* -1 (* y (+ (* -1 z) (/ 1 y))))> |
#<alt (* -1 (* y (+ (* -1 z) (/ 1 y))))> |
#<alt (* -1 (* y (+ (* -1 z) (/ 1 y))))> |
#<alt -1> |
#<alt (- (* y z) 1)> |
#<alt (- (* y z) 1)> |
#<alt (- (* y z) 1)> |
#<alt (* y z)> |
#<alt (* z (- y (/ 1 z)))> |
#<alt (* z (- y (/ 1 z)))> |
#<alt (* z (- y (/ 1 z)))> |
#<alt (* y z)> |
#<alt (* -1 (* z (+ (* -1 y) (/ 1 z))))> |
#<alt (* -1 (* z (+ (* -1 y) (/ 1 z))))> |
#<alt (* -1 (* z (+ (* -1 y) (/ 1 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 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 (- (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 (- (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 (* 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 (- (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 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* y z))> |
#<alt (* y (- (* 1/6 (* (pow y 2) z)) z))> |
#<alt (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))> |
#<alt (* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* y z)> |
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt 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 y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (* -1/6 (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 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 (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
111 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | inf | (- x (+ (* y z) -1)) |
| 1.0ms | y | @ | -inf | (+ (* y z) -1) |
| 0.0ms | y | @ | 0 | (* -1/6 (* y y)) |
| 0.0ms | y | @ | inf | (* -1/6 (* y y)) |
| 0.0ms | y | @ | -inf | (* y (* y y)) |
| 1× | egg-herbie |
| 13 218× | lower-fma.f64 |
| 13 218× | lower-fma.f32 |
| 4 046× | lower-*.f64 |
| 4 046× | lower-*.f32 |
| 2 842× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 182 | 2866 |
| 1 | 529 | 2832 |
| 2 | 1369 | 2826 |
| 3 | 3789 | 2818 |
| 0 | 8486 | 2700 |
| 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))))) |
(- 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))) |
(* 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))) |
(- (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)) |
(- (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))))) |
(* 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)) |
(- (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 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* y z)) |
(* y (- (* 1/6 (* (pow y 2) z)) z)) |
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z)) |
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z)) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
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) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* -1/6 (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)) |
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) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
| 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 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ 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)))) |
(+.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)))) |
(+.f64 x (fma.f64 y (-.f64 (*.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 (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 (sin.f64 y) (neg.f64 z)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* z (- (+ (/ x z) (/ (cos y) 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)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- 1 (* y z)) |
(fma.f64 y (neg.f64 z) #s(literal 1 binary64)) |
(- (+ 1 x) (* y z)) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(- (+ 1 x) (* y z)) |
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(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ 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)))) |
(+.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)))) |
(+.f64 x (fma.f64 y (-.f64 (*.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 (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 (sin.f64 y) (neg.f64 z)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* z (- (+ (/ x z) (/ (cos y) 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)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* y z) |
(*.f64 y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 y (fma.f64 (*.f64 y 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 (*.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 y (*.f64 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)) |
(- (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 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ 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)))) |
(+.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)))) |
(+.f64 x (fma.f64 y (-.f64 (*.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 (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 (sin.f64 y) (neg.f64 z)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* z (- (+ (/ x z) (/ (cos y) 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)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (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)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* y z)) |
(*.f64 y (neg.f64 z)) |
(* y (- (* 1/6 (* (pow y 2) z)) z)) |
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z)) |
(neg.f64 (*.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 (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z)) |
(*.f64 (neg.f64 y) (fma.f64 y (*.f64 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)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* y z) |
(*.f64 y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 y (fma.f64 (*.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 y (*.f64 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 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
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 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
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 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
| 1× | batch-egg-rewrite |
| 5 806× | lower-fma.f32 |
| 5 798× | lower-fma.f64 |
| 4 448× | lower-*.f32 |
| 4 436× | lower-*.f64 |
| 3 584× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 195 |
| 0 | 57 | 187 |
| 1 | 235 | 184 |
| 2 | 1831 | 184 |
| 0 | 8602 | 181 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (+ x 1) #s(literal 1 binary64)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
(*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
#s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
#s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
(*.f64 y (*.f64 y y)) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
(+.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64)))) |
(+.f64 (neg.f64 (fma.f64 y z #s(literal -1 binary64))) x) |
(+.f64 (-.f64 x (*.f64 y z)) #s(literal 1 binary64)) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(-.f64 (-.f64 x (*.f64 y z)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 (fma.f64 y z #s(literal -1 binary64)) (+.f64 x (fma.f64 y z #s(literal -1 binary64)))))) (/.f64 (*.f64 (fma.f64 y z #s(literal -1 binary64)) (*.f64 (fma.f64 y z #s(literal -1 binary64)) (fma.f64 y z #s(literal -1 binary64)))) (fma.f64 x x (*.f64 (fma.f64 y z #s(literal -1 binary64)) (+.f64 x (fma.f64 y z #s(literal -1 binary64))))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (fma.f64 y z #s(literal -1 binary64)))) (/.f64 (*.f64 (fma.f64 y z #s(literal -1 binary64)) (fma.f64 y z #s(literal -1 binary64))) (+.f64 x (fma.f64 y z #s(literal -1 binary64))))) |
(-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 y z)) |
(-.f64 (/.f64 (*.f64 (-.f64 x (*.f64 y z)) (*.f64 (-.f64 x (*.f64 y z)) (-.f64 x (*.f64 y z)))) (fma.f64 (-.f64 x (*.f64 y z)) (-.f64 x (*.f64 y z)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 y z)) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 x (*.f64 y z)) (-.f64 x (*.f64 y z)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 y z)) #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64))))) (/.f64 (*.f64 (fma.f64 y z #s(literal -1 binary64)) (fma.f64 y z #s(literal -1 binary64))) (-.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (*.f64 (-.f64 x (*.f64 y z)) (-.f64 x (*.f64 y z))) (+.f64 (-.f64 x (*.f64 y z)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 x (*.f64 y z)) #s(literal -1 binary64)))) |
(fma.f64 x #s(literal 1 binary64) (neg.f64 (fma.f64 y z #s(literal -1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (fma.f64 y z #s(literal -1 binary64)) x) |
(fma.f64 #s(literal 1 binary64) x (neg.f64 (fma.f64 y z #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (*.f64 (fma.f64 y z #s(literal -1 binary64)) (+.f64 x (fma.f64 y z #s(literal -1 binary64))))) (*.f64 (fma.f64 x x (*.f64 (fma.f64 y z #s(literal -1 binary64)) (+.f64 x (fma.f64 y z #s(literal -1 binary64))))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x (fma.f64 y z #s(literal -1 binary64))) (*.f64 (+.f64 x (fma.f64 y z #s(literal -1 binary64))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (fma.f64 y z #s(literal -1 binary64)) (+.f64 x (fma.f64 y z #s(literal -1 binary64))))) (*.f64 (fma.f64 x x (*.f64 (fma.f64 y z #s(literal -1 binary64)) (+.f64 x (fma.f64 y z #s(literal -1 binary64))))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 y z #s(literal -1 binary64))) (*.f64 (+.f64 x (fma.f64 y z #s(literal -1 binary64))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 (fma.f64 y z #s(literal -1 binary64)) (+.f64 x (fma.f64 y z #s(literal -1 binary64))))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) (fma.f64 x x (*.f64 (fma.f64 y z #s(literal -1 binary64)) (+.f64 x (fma.f64 y z #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 (fma.f64 y z #s(literal -1 binary64)) (+.f64 x (fma.f64 y z #s(literal -1 binary64))))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) (fma.f64 x x (-.f64 (*.f64 (fma.f64 y z #s(literal -1 binary64)) (fma.f64 y z #s(literal -1 binary64))) (*.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64))))))) |
(/.f64 (*.f64 (+.f64 x (fma.f64 y z #s(literal -1 binary64))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) (+.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 x (fma.f64 y z #s(literal -1 binary64))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) (-.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 (fma.f64 y z #s(literal -1 binary64)) (+.f64 x (fma.f64 y z #s(literal -1 binary64))))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))) (neg.f64 (fma.f64 x x (*.f64 (fma.f64 y z #s(literal -1 binary64)) (+.f64 x (fma.f64 y z #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 (fma.f64 y z #s(literal -1 binary64)) (+.f64 x (fma.f64 y z #s(literal -1 binary64))))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (fma.f64 y z #s(literal -1 binary64)) (fma.f64 y z #s(literal -1 binary64))) (*.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x (fma.f64 y z #s(literal -1 binary64))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))) (neg.f64 (+.f64 x (fma.f64 y z #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x (fma.f64 y z #s(literal -1 binary64))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))) (neg.f64 (-.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (-.f64 x (*.f64 y z)) (*.f64 (-.f64 x (*.f64 y z)) (-.f64 x (*.f64 y z)))) #s(literal -1 binary64)) (fma.f64 (-.f64 x (*.f64 y z)) (-.f64 x (*.f64 y z)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 y z)) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 (-.f64 x (*.f64 y z)) (-.f64 x (*.f64 y z))) #s(literal 1 binary64)) (+.f64 (-.f64 x (*.f64 y z)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 (fma.f64 y z #s(literal -1 binary64)) (+.f64 x (fma.f64 y z #s(literal -1 binary64)))))) (*.f64 (fma.f64 x x (*.f64 (fma.f64 y z #s(literal -1 binary64)) (+.f64 x (fma.f64 y z #s(literal -1 binary64))))) (*.f64 (fma.f64 y z #s(literal -1 binary64)) (*.f64 (fma.f64 y z #s(literal -1 binary64)) (fma.f64 y z #s(literal -1 binary64)))))) (*.f64 (fma.f64 x x (*.f64 (fma.f64 y z #s(literal -1 binary64)) (+.f64 x (fma.f64 y z #s(literal -1 binary64))))) (fma.f64 x x (*.f64 (fma.f64 y z #s(literal -1 binary64)) (+.f64 x (fma.f64 y z #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (fma.f64 y z #s(literal -1 binary64)))) (*.f64 (+.f64 x (fma.f64 y z #s(literal -1 binary64))) (*.f64 (fma.f64 y z #s(literal -1 binary64)) (fma.f64 y z #s(literal -1 binary64))))) (*.f64 (+.f64 x (fma.f64 y z #s(literal -1 binary64))) (+.f64 x (fma.f64 y z #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 (fma.f64 y z #s(literal -1 binary64)) (+.f64 x (fma.f64 y z #s(literal -1 binary64))))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))))) (neg.f64 (neg.f64 (fma.f64 x x (*.f64 (fma.f64 y z #s(literal -1 binary64)) (+.f64 x (fma.f64 y z #s(literal -1 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x (fma.f64 y z #s(literal -1 binary64))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))))) (neg.f64 (neg.f64 (+.f64 x (fma.f64 y z #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 x (*.f64 y z)) (*.f64 (-.f64 x (*.f64 y z)) (-.f64 x (*.f64 y z)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (-.f64 x (*.f64 y z)) (-.f64 x (*.f64 y z)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 y z)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 x (*.f64 y z)) (-.f64 x (*.f64 y z))) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 x (*.f64 y z)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 y z #s(literal -1 binary64)) (fma.f64 y z #s(literal -1 binary64))) (neg.f64 (fma.f64 y z #s(literal -1 binary64))) (*.f64 x (*.f64 x x))) (fma.f64 (fma.f64 y z #s(literal -1 binary64)) (fma.f64 y z #s(literal -1 binary64)) (-.f64 (*.f64 x x) (*.f64 (neg.f64 (fma.f64 y z #s(literal -1 binary64))) x)))) |
(/.f64 (fma.f64 (-.f64 x (*.f64 y z)) (*.f64 (-.f64 x (*.f64 y z)) (-.f64 x (*.f64 y z))) #s(literal 1 binary64)) (fma.f64 (-.f64 x (*.f64 y z)) (-.f64 x (*.f64 y z)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 y z)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 (fma.f64 y z #s(literal -1 binary64)) (+.f64 x (fma.f64 y z #s(literal -1 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (fma.f64 y z #s(literal -1 binary64)) (*.f64 (fma.f64 y z #s(literal -1 binary64)) (fma.f64 y z #s(literal -1 binary64)))) (fma.f64 x x (*.f64 (fma.f64 y z #s(literal -1 binary64)) (+.f64 x (fma.f64 y z #s(literal -1 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 (fma.f64 y z #s(literal -1 binary64)) (+.f64 x (fma.f64 y z #s(literal -1 binary64)))))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 (fma.f64 y z #s(literal -1 binary64)) (+.f64 x (fma.f64 y z #s(literal -1 binary64)))))) (fma.f64 (/.f64 (*.f64 (fma.f64 y z #s(literal -1 binary64)) (*.f64 (fma.f64 y z #s(literal -1 binary64)) (fma.f64 y z #s(literal -1 binary64)))) (fma.f64 x x (*.f64 (fma.f64 y z #s(literal -1 binary64)) (+.f64 x (fma.f64 y z #s(literal -1 binary64)))))) (/.f64 (*.f64 (fma.f64 y z #s(literal -1 binary64)) (*.f64 (fma.f64 y z #s(literal -1 binary64)) (fma.f64 y z #s(literal -1 binary64)))) (fma.f64 x x (*.f64 (fma.f64 y z #s(literal -1 binary64)) (+.f64 x (fma.f64 y z #s(literal -1 binary64)))))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 (fma.f64 y z #s(literal -1 binary64)) (+.f64 x (fma.f64 y z #s(literal -1 binary64)))))) (/.f64 (*.f64 (fma.f64 y z #s(literal -1 binary64)) (*.f64 (fma.f64 y z #s(literal -1 binary64)) (fma.f64 y z #s(literal -1 binary64)))) (fma.f64 x x (*.f64 (fma.f64 y z #s(literal -1 binary64)) (+.f64 x (fma.f64 y z #s(literal -1 binary64)))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x (fma.f64 y z #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (fma.f64 y z #s(literal -1 binary64)) (fma.f64 y z #s(literal -1 binary64))) (+.f64 x (fma.f64 y z #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x (fma.f64 y z #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (+.f64 x (fma.f64 y z #s(literal -1 binary64)))) (fma.f64 (/.f64 (*.f64 (fma.f64 y z #s(literal -1 binary64)) (fma.f64 y z #s(literal -1 binary64))) (+.f64 x (fma.f64 y z #s(literal -1 binary64)))) (/.f64 (*.f64 (fma.f64 y z #s(literal -1 binary64)) (fma.f64 y z #s(literal -1 binary64))) (+.f64 x (fma.f64 y z #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x (fma.f64 y z #s(literal -1 binary64)))) (/.f64 (*.f64 (fma.f64 y z #s(literal -1 binary64)) (fma.f64 y z #s(literal -1 binary64))) (+.f64 x (fma.f64 y z #s(literal -1 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 y z))))) |
(pow.f64 (/.f64 (fma.f64 x x (*.f64 (fma.f64 y z #s(literal -1 binary64)) (+.f64 x (fma.f64 y z #s(literal -1 binary64))))) (*.f64 (fma.f64 x x (*.f64 (fma.f64 y z #s(literal -1 binary64)) (+.f64 x (fma.f64 y z #s(literal -1 binary64))))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 x (fma.f64 y z #s(literal -1 binary64))) (*.f64 (+.f64 x (fma.f64 y z #s(literal -1 binary64))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))) #s(literal -1 binary64)) |
(*.f64 (*.f64 (fma.f64 x x (*.f64 (fma.f64 y z #s(literal -1 binary64)) (+.f64 x (fma.f64 y z #s(literal -1 binary64))))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (fma.f64 y z #s(literal -1 binary64)) (+.f64 x (fma.f64 y z #s(literal -1 binary64))))))) |
(*.f64 (*.f64 (+.f64 x (fma.f64 y z #s(literal -1 binary64))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y z #s(literal -1 binary64))))) |
(+.f64 #s(literal -1 binary64) (*.f64 y z)) |
(+.f64 (*.f64 y z) #s(literal -1 binary64)) |
(-.f64 (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 y z))) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 #s(literal -1 binary64) (*.f64 y z)))) |
(fma.f64 y z #s(literal -1 binary64)) |
(fma.f64 z y #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 y z))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 y z))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)) #s(literal -1 binary64)) (-.f64 (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 #s(literal -1 binary64) (*.f64 y z))))) |
(/.f64 (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64)) (fma.f64 y z #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 y z))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 #s(literal -1 binary64) (*.f64 y z)))))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64))) (neg.f64 (fma.f64 y z #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 #s(literal -1 binary64) (*.f64 y z))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z #s(literal 1 binary64))) (*.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y z #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y z #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (*.f64 y z))))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 y z)))) |
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(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))))) |
(/.f64 (-.f64 #s(literal 0 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 0 binary64) (*.f64 z (sin.f64 y)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.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 0 binary64) (neg.f64 (*.f64 z (sin.f64 y))))))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
#s(approx (sin y) (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) 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) |
#s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64))) |
(pow.f64 y #s(literal 3 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 3 binary64)) |
(*.f64 y (*.f64 y y)) |
(*.f64 (*.f64 y y) y) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) |
Compiled 18 340 to 835 computations (95.4% saved)
30 alts after pruning (25 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 711 | 12 | 723 |
| Fresh | 6 | 13 | 19 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 720 | 30 | 750 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 89.0% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 57.3% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))) | |
| 56.2% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| 27.3% | (*.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) #s(approx (+ x (+ (* z (sin y)) (cos y))) (*.f64 z (sin.f64 y)))))) | |
| 27.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(approx (+ x 1) #s(literal 1 binary64)))) | |
| 45.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) z))) (+.f64 x #s(literal 1 binary64)))) | |
| 56.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (- (* y -1/2) z) (*.f64 z (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64)))) | |
| 33.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) | |
| 10.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 #s(literal 0 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 0 binary64) (*.f64 z (sin.f64 y))))) | |
| 47.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 y z #s(literal -1 binary64))) (*.f64 (+.f64 x (fma.f64 y z #s(literal -1 binary64))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))))) | |
| 41.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)) #s(literal -1 binary64)) (-.f64 (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))))) | |
| 60.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64)) (fma.f64 y z #s(literal 1 binary64))))) | |
| ▶ | 60.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64)))))) |
| 46.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y z) -1) (*.f64 y z)))) | |
| ✓ | 73.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
| 47.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) | |
| 48.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) | |
| ✓ | 63.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
| ✓ | 27.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) |
| 9.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y))))) | |
| 9.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))))) | |
| ▶ | 9.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))))) |
| ▶ | 9.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
| 27.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))) | |
| ▶ | 51.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) #s(literal 1 binary64))))) |
| ▶ | 47.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 x z) y))))) |
| 3.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) | |
| 30.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) | |
| ✓ | 21.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
| 9.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (* z (sin y))) (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) |
Compiled 948 to 532 computations (43.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 x z) y)))) |
| ✓ | cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 x z) y))))) |
| ✓ | cost-diff | 128 | (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 x z) y)) |
| ✓ | cost-diff | 2304 | (*.f64 z (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 x z) y))) |
| ✓ | cost-diff | 0 | (+.f64 x (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) #s(literal 1 binary64))))) |
| ✓ | cost-diff | 1024 | (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z)) |
| ✓ | cost-diff | 0 | #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))) |
| ✓ | cost-diff | 0 | (neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z)))) |
| ✓ | cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))))) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | #s(approx (* z (sin y)) (*.f64 y z)) |
| ✓ | cost-diff | 0 | (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))) |
| ✓ | cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64))))) |
| ✓ | cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64)))))) |
| ✓ | cost-diff | 1024 | (/.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64)))) |
| 12 124× | lower-fma.f32 |
| 12 114× | lower-fma.f64 |
| 3 070× | lower-*.f32 |
| 3 054× | lower-*.f64 |
| 2 284× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 477 |
| 0 | 82 | 459 |
| 1 | 160 | 459 |
| 2 | 336 | 453 |
| 3 | 803 | 418 |
| 4 | 1994 | 404 |
| 5 | 4544 | 404 |
| 0 | 8361 | 384 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64)))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64))))) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64)))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64))) |
(fma.f64 y z #s(literal 1 binary64)) |
y |
z |
(fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64)) |
(*.f64 z (*.f64 y z)) |
(*.f64 y z) |
#s(literal -1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
(neg.f64 #s(approx (* z (sin y)) (*.f64 y z))) |
#s(approx (* z (sin y)) (*.f64 y z)) |
(*.f64 y z) |
y |
z |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))))) |
(neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z)))) |
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z)) |
y |
(fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z) |
(*.f64 y y) |
(*.f64 z #s(literal -1/6 binary64)) |
z |
#s(literal -1/6 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) #s(literal 1 binary64))))) |
#s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) #s(literal 1 binary64)))) |
(+.f64 x (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) #s(literal 1 binary64))) |
x |
(fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) #s(literal 1 binary64)) |
(*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) |
y |
(/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) |
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
(*.f64 y #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
z |
#s(literal 1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 x z) y))))) |
#s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 x z) y)))) |
(*.f64 z (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 x z) y))) |
z |
(+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 x z) y)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
(-.f64 (/.f64 x z) y) |
(/.f64 x z) |
x |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64))))) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64)))) |
(fma.f64 y z #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal -1 binary64))) |
(fma.f64 y z #s(literal 1 binary64)) |
y |
z |
(fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64)) |
(*.f64 z (*.f64 y z)) |
(*.f64 y z) |
#s(literal -1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
(neg.f64 #s(approx (* z (sin y)) (*.f64 y z))) |
#s(approx (* z (sin y)) (*.f64 y z)) |
(*.f64 y z) |
y |
z |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y z)) z))))) |
(neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z)))) |
(neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y z)) z)))) |
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))) |
#s(approx (* z (sin y)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y z)) z))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z)) |
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y z)) z)) |
y |
(fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y z)) z) |
(*.f64 y y) |
(*.f64 z #s(literal -1/6 binary64)) |
z |
#s(literal -1/6 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y #s(literal 1/2 binary64) z) y))))) |
#s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) #s(literal 1 binary64)))) |
#s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y #s(literal 1/2 binary64) z) y)))) |
(+.f64 x (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) #s(literal 1 binary64))) |
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y #s(literal 1/2 binary64) z) y))) |
x |
(fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y #s(literal 1/2 binary64) z) y)) |
(*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) |
(neg.f64 (*.f64 (/.f64 (fma.f64 y #s(literal 1/2 binary64) z) x) y)) |
y |
(/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) |
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z) |
(*.f64 y #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
z |
#s(literal 1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 x z) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y #s(literal 1/2 binary64) z) y))))) |
#s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 x z) y)))) |
#s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y #s(literal 1/2 binary64) z) y)))) |
(*.f64 z (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 x z) y))) |
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y #s(literal 1/2 binary64) z) y))) |
z |
(+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 x z) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) #s(literal -1 binary64)) (/.f64 x z))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) |
(fma.f64 y (/.f64 (*.f64 y #s(literal -1/2 binary64)) z) (/.f64 #s(literal 1 binary64) z)) |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
(-.f64 (/.f64 x z) y) |
(/.f64 x z) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.1% | (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 x z) y)) |
| ✓ | accuracy | 90.5% | (/.f64 (*.f64 y y) z) |
| ✓ | accuracy | 84.9% | (*.f64 z (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 x z) y))) |
| ✓ | accuracy | 56.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 x z) y))))) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) |
| ✓ | accuracy | 96.1% | (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) |
| ✓ | accuracy | 91.8% | (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) #s(literal 1 binary64)) |
| ✓ | accuracy | 56.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) #s(literal 1 binary64))))) |
| ✓ | accuracy | 99.5% | (*.f64 z #s(literal -1/6 binary64)) |
| ✓ | accuracy | 94.0% | (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z) |
| ✓ | accuracy | 53.1% | #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))) |
| ✓ | accuracy | 27.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))))) |
| ✓ | accuracy | 100.0% | (*.f64 y z) |
| ✓ | accuracy | 100.0% | (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))) |
| ✓ | accuracy | 53.6% | #s(approx (* z (sin y)) (*.f64 y z)) |
| ✓ | accuracy | 27.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
| ✓ | accuracy | 99.8% | (*.f64 z (*.f64 y z)) |
| ✓ | accuracy | 97.8% | (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64)) |
| ✓ | accuracy | 75.2% | (/.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64))) |
| ✓ | accuracy | 65.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64)))))) |
| 100.0ms | 256× | 0 | valid |
Compiled 327 to 46 computations (85.9% saved)
ival-mult: 23.0ms (30.9% of total)ival-div: 19.0ms (25.5% of total)ival-add: 11.0ms (14.8% of total)ival-cos: 6.0ms (8.1% of total)ival-sin: 5.0ms (6.7% of total)ival-sub: 4.0ms (5.4% of total)const: 4.0ms (5.4% of total)ival-neg: 1.0ms (1.3% 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 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64))))> |
#<alt (/.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64)))> |
#<alt #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64))))))> |
#<alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64)))))> |
#<alt #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))> |
#<alt (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))> |
#<alt #s(approx (* z (sin y)) (*.f64 y z))> |
#<alt (*.f64 y z)> |
#<alt #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z)))))> |
#<alt (neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))))> |
#<alt #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z)))> |
#<alt (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))> |
#<alt (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) #s(literal 1 binary64))> |
#<alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) #s(literal 1 binary64)))))> |
#<alt #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) #s(literal 1 binary64))))> |
#<alt (+.f64 x (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) #s(literal 1 binary64)))> |
#<alt (*.f64 z (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 x z) y)))> |
#<alt (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 x z) y))> |
#<alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 x z) y)))))> |
#<alt #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 x z) y))))> |
#<alt (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64))> |
#<alt (*.f64 z (*.f64 y z))> |
#<alt (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z)> |
#<alt (*.f64 z #s(literal -1/6 binary64))> |
#<alt (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x))> |
#<alt (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)> |
#<alt (/.f64 (*.f64 y y) z)> |
| Outputs |
|---|
#<alt -1> |
#<alt (- (* y z) 1)> |
#<alt (- (* y z) 1)> |
#<alt (- (* y z) 1)> |
#<alt (* y z)> |
#<alt (* y (- z (/ 1 y)))> |
#<alt (* y (- z (/ 1 y)))> |
#<alt (* y (- z (/ 1 y)))> |
#<alt (* y z)> |
#<alt (* -1 (* y (+ (* -1 z) (/ 1 y))))> |
#<alt (* -1 (* y (+ (* -1 z) (/ 1 y))))> |
#<alt (* -1 (* y (+ (* -1 z) (/ 1 y))))> |
#<alt -1> |
#<alt (- (* y z) 1)> |
#<alt (- (* y z) 1)> |
#<alt (- (* y z) 1)> |
#<alt (* y z)> |
#<alt (* z (- y (/ 1 z)))> |
#<alt (* z (- y (/ 1 z)))> |
#<alt (* z (- y (/ 1 z)))> |
#<alt (* y z)> |
#<alt (* -1 (* z (+ (* -1 y) (/ 1 z))))> |
#<alt (* -1 (* z (+ (* -1 y) (/ 1 z))))> |
#<alt (* -1 (* z (+ (* -1 y) (/ 1 z))))> |
#<alt -1> |
#<alt (- (* -1 (* y z)) 1)> |
#<alt (- (* y (+ (* -1 z) (* -1 (* y (pow z 2))))) 1)> |
#<alt (- (* y (+ (* -1 z) (* y (- (* -1 (* y (pow z 3))) (pow z 2))))) 1)> |
#<alt (/ 1 (* y z))> |
#<alt (/ (+ (/ 1 z) (/ 1 (* y (pow z 2)))) y)> |
#<alt (/ (+ (/ 1 z) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 2) (pow z 3))))) y)> |
#<alt (/ (+ (/ 1 z) (+ (/ 1 (* y (pow z 2))) (+ (/ 1 (* (pow y 2) (pow z 3))) (/ 1 (* (pow y 3) (pow z 4)))))) y)> |
#<alt (/ 1 (* y z))> |
#<alt (/ (+ (/ 1 z) (/ 1 (* y (pow z 2)))) y)> |
#<alt (* -1 (/ (- (* -1 (/ (+ (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z)) y))> |
#<alt (* -1 (/ (- (* -1 (/ (+ (/ 1 (* y (pow z 3))) (+ (/ 1 (* (pow y 2) (pow z 4))) (/ 1 (pow z 2)))) y)) (/ 1 z)) y))> |
#<alt -1> |
#<alt (- (* -1 (* y z)) 1)> |
#<alt (- (* z (+ (* -1 y) (* -1 (* (pow y 2) z)))) 1)> |
#<alt (- (* z (+ (* -1 y) (* z (- (* -1 (* (pow y 3) z)) (pow y 2))))) 1)> |
#<alt (/ 1 (* y z))> |
#<alt (/ (+ (/ 1 y) (/ 1 (* (pow y 2) z))) z)> |
#<alt (/ (+ (/ 1 y) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 3) (pow z 2))))) z)> |
#<alt (/ (+ (/ 1 y) (+ (/ 1 (* (pow y 2) z)) (+ (/ 1 (* (pow y 3) (pow z 2))) (/ 1 (* (pow y 4) (pow z 3)))))) z)> |
#<alt (/ 1 (* y z))> |
#<alt (/ (+ (/ 1 y) (/ 1 (* (pow y 2) z))) z)> |
#<alt (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow y 3) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z))> |
#<alt (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow y 3) z)) (+ (/ 1 (* (pow y 4) (pow z 2))) (/ 1 (pow y 2)))) z)) (/ 1 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 (+ 1 (* y z))) (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z))))> |
#<alt (- (+ x (/ 1 (+ 1 (* y z)))) (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z))))> |
#<alt (- (+ x (/ 1 (+ 1 (* y z)))) (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z))))> |
#<alt (- (+ x (/ 1 (+ 1 (* y z)))) (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z))))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ 1 (* x (+ 1 (* y z))))) (/ (* (pow y 2) (pow z 2)) (* x (+ 1 (* y z))))))> |
#<alt (* x (- (+ 1 (/ 1 (* x (+ 1 (* y z))))) (/ (* (pow y 2) (pow z 2)) (* x (+ 1 (* y z))))))> |
#<alt (* x (- (+ 1 (/ 1 (* x (+ 1 (* y z))))) (/ (* (pow y 2) (pow z 2)) (* x (+ 1 (* y z))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 (+ 1 (* y z))) (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 (+ 1 (* y z))) (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 (+ 1 (* y z))) (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (- (* -1 (* y (+ (* -1 (pow z 2)) (pow z 2)))) z))))> |
#<alt (+ 1 (+ x (* y (- (* -1 (* y (+ (* -1 (pow z 2)) (pow z 2)))) z))))> |
#<alt (* -1 (* y z))> |
#<alt (* y (- (+ (/ 1 y) (/ x y)) z))> |
#<alt (* y (- (+ (/ 1 y) (/ x y)) z))> |
#<alt (* y (- (+ (/ 1 y) (/ x y)) z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))> |
#<alt (* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))> |
#<alt (* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* z (- (* -1 (* z (+ (* -1 (pow y 2)) (pow y 2)))) y))))> |
#<alt (+ 1 (+ x (* z (- (* -1 (* z (+ (* -1 (pow y 2)) (pow y 2)))) y))))> |
#<alt (* -1 (* y z))> |
#<alt (* z (- (+ (/ 1 z) (/ x z)) y))> |
#<alt (* z (- (+ (/ 1 z) (/ x z)) y))> |
#<alt (* z (- (+ (/ 1 z) (/ x z)) y))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 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 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
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#<alt (* -1/2 (/ (pow y 2) z))> |
#<alt (* -1 (* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ 1 y))))> |
#<alt (* (pow y 2) (- (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z))) (+ (* 1/2 (/ 1 z)) (/ 1 y))))> |
#<alt (* (pow y 2) (- (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z))) (+ (* 1/2 (/ 1 z)) (/ 1 y))))> |
#<alt (* -1/2 (/ (pow y 2) z))> |
#<alt (* -1 (* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ 1 y))))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ (+ (/ 1 z) (/ x z)) y))) y)) (* 1/2 (/ 1 z))))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ (+ (/ 1 z) (/ x z)) y))) y)) (* 1/2 (/ 1 z))))> |
#<alt (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)> |
#<alt (/ (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) z)> |
#<alt (/ (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) z)> |
#<alt (/ (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) z)> |
#<alt (* -1 y)> |
#<alt (- (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))) y)> |
#<alt (- (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))) y)> |
#<alt (- (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))) y)> |
#<alt (* -1 y)> |
#<alt (- (* -1 (/ (- (+ (* -1 x) (* 1/2 (pow y 2))) 1) z)) y)> |
#<alt (- (* -1 (/ (- (+ (* -1 x) (* 1/2 (pow y 2))) 1) z)) y)> |
#<alt (- (* -1 (/ (- (+ (* -1 x) (* 1/2 (pow y 2))) 1) z)) y)> |
#<alt (- (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) y)> |
#<alt (- (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))) y)> |
#<alt (- (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))) y)> |
#<alt (- (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))) y)> |
#<alt (/ x z)> |
#<alt (* x (- (+ (* -1/2 (/ (pow y 2) (* x z))) (+ (/ 1 z) (/ 1 (* x z)))) (/ y x)))> |
#<alt (* x (- (+ (* -1/2 (/ (pow y 2) (* x z))) (+ (/ 1 z) (/ 1 (* x z)))) (/ y x)))> |
#<alt (* x (- (+ (* -1/2 (/ (pow y 2) (* x z))) (+ (/ 1 z) (/ 1 (* x z)))) (/ y x)))> |
#<alt (/ x z)> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) y) x)) (/ 1 z))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) y) x)) (/ 1 z))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) y) x)) (/ 1 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 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))> |
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2))> |
#<alt (* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2))> |
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))> |
#<alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))> |
#<alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))> |
#<alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))> |
#<alt (* -1 (* y z))> |
#<alt (* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))> |
#<alt (* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))> |
#<alt (* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))> |
#<alt (* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))> |
#<alt (* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))> |
#<alt (+ 1 (* y (- (* -1/2 y) z)))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))> |
#<alt -1> |
#<alt (- (* (pow y 2) (pow z 2)) 1)> |
#<alt (- (* (pow y 2) (pow z 2)) 1)> |
#<alt (- (* (pow y 2) (pow z 2)) 1)> |
#<alt (* (pow y 2) (pow z 2))> |
#<alt (* (pow y 2) (- (pow z 2) (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (- (pow z 2) (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (- (pow z 2) (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (pow z 2))> |
#<alt (* (pow y 2) (- (pow z 2) (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (- (pow z 2) (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (- (pow z 2) (/ 1 (pow y 2))))> |
#<alt -1> |
#<alt (- (* (pow y 2) (pow z 2)) 1)> |
#<alt (- (* (pow y 2) (pow z 2)) 1)> |
#<alt (- (* (pow y 2) (pow z 2)) 1)> |
#<alt (* (pow y 2) (pow z 2))> |
#<alt (* (pow z 2) (- (pow y 2) (/ 1 (pow z 2))))> |
#<alt (* (pow z 2) (- (pow y 2) (/ 1 (pow z 2))))> |
#<alt (* (pow z 2) (- (pow y 2) (/ 1 (pow z 2))))> |
#<alt (* (pow y 2) (pow z 2))> |
#<alt (* (pow z 2) (- (pow y 2) (/ 1 (pow z 2))))> |
#<alt (* (pow z 2) (- (pow y 2) (/ 1 (pow z 2))))> |
#<alt (* (pow z 2) (- (pow y 2) (/ 1 (pow z 2))))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt (* y (pow z 2))> |
#<alt z> |
#<alt (+ z (* -1/6 (* (pow y 2) z)))> |
#<alt (+ z (* -1/6 (* (pow y 2) z)))> |
#<alt (+ z (* -1/6 (* (pow y 2) z)))> |
#<alt (* -1/6 (* (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))> |
#<alt (* -1/6 (* (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))> |
#<alt (* z (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* z (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* z (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* z (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* z (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* z (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* z (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* z (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* -1 (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* -1 (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* -1 (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* -1 (* z (- (* 1/6 (pow y 2)) 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 (/ (* y z) x))> |
#<alt (* y (+ (* -1 (/ z x)) (* -1/2 (/ y x))))> |
#<alt (* y (+ (* -1 (/ z x)) (* -1/2 (/ y x))))> |
#<alt (* y (+ (* -1 (/ z x)) (* -1/2 (/ y x))))> |
#<alt (* -1/2 (/ (pow y 2) x))> |
#<alt (* (pow y 2) (- (* -1 (/ z (* x y))) (* 1/2 (/ 1 x))))> |
#<alt (* (pow y 2) (- (* -1 (/ z (* x y))) (* 1/2 (/ 1 x))))> |
#<alt (* (pow y 2) (- (* -1 (/ z (* x y))) (* 1/2 (/ 1 x))))> |
#<alt (* -1/2 (/ (pow y 2) x))> |
#<alt (* (pow y 2) (- (* -1 (/ z (* x y))) (* 1/2 (/ 1 x))))> |
#<alt (* (pow y 2) (- (* -1 (/ z (* x y))) (* 1/2 (/ 1 x))))> |
#<alt (* (pow y 2) (- (* -1 (/ z (* x y))) (* 1/2 (/ 1 x))))> |
#<alt (* -1/2 (/ (pow y 2) x))> |
#<alt (+ (* -1 (/ (* y z) x)) (* -1/2 (/ (pow y 2) x)))> |
#<alt (+ (* -1 (/ (* y z) x)) (* -1/2 (/ (pow y 2) x)))> |
#<alt (+ (* -1 (/ (* y z) x)) (* -1/2 (/ (pow y 2) x)))> |
#<alt (* -1 (/ (* y z) x))> |
#<alt (* z (+ (* -1 (/ y x)) (* -1/2 (/ (pow y 2) (* x z)))))> |
#<alt (* z (+ (* -1 (/ y x)) (* -1/2 (/ (pow y 2) (* x z)))))> |
#<alt (* z (+ (* -1 (/ y x)) (* -1/2 (/ (pow y 2) (* x z)))))> |
#<alt (* -1 (/ (* y z) x))> |
#<alt (* -1 (* z (+ (* 1/2 (/ (pow y 2) (* x z))) (/ y x))))> |
#<alt (* -1 (* z (+ (* 1/2 (/ (pow y 2) (* x z))) (/ y x))))> |
#<alt (* -1 (* z (+ (* 1/2 (/ (pow y 2) (* x z))) (/ y x))))> |
#<alt (/ (* y (- (* -1/2 y) z)) x)> |
#<alt (/ (* y (- (* -1/2 y) z)) x)> |
#<alt (/ (* y (- (* -1/2 y) z)) x)> |
#<alt (/ (* y (- (* -1/2 y) z)) x)> |
#<alt (/ (* y (- (* -1/2 y) z)) x)> |
#<alt (/ (* y (- (* -1/2 y) z)) x)> |
#<alt (/ (* y (- (* -1/2 y) z)) x)> |
#<alt (/ (* y (- (* -1/2 y) z)) x)> |
#<alt (/ (* y (- (* -1/2 y) z)) x)> |
#<alt (/ (* y (- (* -1/2 y) z)) x)> |
#<alt (/ (* y (- (* -1/2 y) z)) x)> |
#<alt (/ (* y (- (* -1/2 y) z)) x)> |
#<alt (* -1 (/ z x))> |
#<alt (+ (* -1 (/ z x)) (* -1/2 (/ y x)))> |
#<alt (+ (* -1 (/ z x)) (* -1/2 (/ y x)))> |
#<alt (+ (* -1 (/ z x)) (* -1/2 (/ y x)))> |
#<alt (* -1/2 (/ y x))> |
#<alt (* y (- (* -1 (/ z (* x y))) (* 1/2 (/ 1 x))))> |
#<alt (* y (- (* -1 (/ z (* x y))) (* 1/2 (/ 1 x))))> |
#<alt (* y (- (* -1 (/ z (* x y))) (* 1/2 (/ 1 x))))> |
#<alt (* -1/2 (/ y x))> |
#<alt (* -1 (* y (+ (* 1/2 (/ 1 x)) (/ z (* x y)))))> |
#<alt (* -1 (* y (+ (* 1/2 (/ 1 x)) (/ z (* x y)))))> |
#<alt (* -1 (* y (+ (* 1/2 (/ 1 x)) (/ z (* x y)))))> |
#<alt (* -1/2 (/ y x))> |
#<alt (+ (* -1 (/ z x)) (* -1/2 (/ y x)))> |
#<alt (+ (* -1 (/ z x)) (* -1/2 (/ y x)))> |
#<alt (+ (* -1 (/ z x)) (* -1/2 (/ y x)))> |
#<alt (* -1 (/ z x))> |
#<alt (* z (- (* -1/2 (/ y (* x z))) (/ 1 x)))> |
#<alt (* z (- (* -1/2 (/ y (* x z))) (/ 1 x)))> |
#<alt (* z (- (* -1/2 (/ y (* x z))) (/ 1 x)))> |
#<alt (* -1 (/ z x))> |
#<alt (* -1 (* z (+ (* 1/2 (/ y (* x z))) (/ 1 x))))> |
#<alt (* -1 (* z (+ (* 1/2 (/ y (* x z))) (/ 1 x))))> |
#<alt (* -1 (* z (+ (* 1/2 (/ y (* x z))) (/ 1 x))))> |
#<alt (/ (- (* -1/2 y) z) x)> |
#<alt (/ (- (* -1/2 y) z) x)> |
#<alt (/ (- (* -1/2 y) z) x)> |
#<alt (/ (- (* -1/2 y) z) x)> |
#<alt (/ (- (* -1/2 y) z) x)> |
#<alt (/ (- (* -1/2 y) z) x)> |
#<alt (/ (- (* -1/2 y) z) x)> |
#<alt (/ (- (* -1/2 y) z) x)> |
#<alt (/ (- (* -1/2 y) z) x)> |
#<alt (/ (- (* -1/2 y) z) x)> |
#<alt (/ (- (* -1/2 y) z) x)> |
#<alt (/ (- (* -1/2 y) z) x)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (pow y 2) z)> |
201 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | z | @ | -inf | (- x (/ 1 (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)))) |
| 5.0ms | z | @ | -inf | (+ (* x (* y (/ (- (* y -1/2) z) x))) 1) |
| 4.0ms | y | @ | -inf | (* y (/ (- (* y -1/2) z) x)) |
| 1.0ms | y | @ | inf | (+ (+ (* -1/2 (/ (* y y) z)) (/ 1 z)) (- (/ x z) y)) |
| 1.0ms | y | @ | inf | (- x (/ 1 (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)))) |
| 1× | egg-herbie |
| 9 680× | lower-fma.f64 |
| 9 680× | lower-fma.f32 |
| 5 268× | lower-*.f64 |
| 5 268× | lower-*.f32 |
| 4 150× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 455 | 7988 |
| 1 | 1356 | 7676 |
| 2 | 3953 | 7469 |
| 0 | 8171 | 7100 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-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)))) |
-1 |
(- (* -1 (* y z)) 1) |
(- (* y (+ (* -1 z) (* -1 (* y (pow z 2))))) 1) |
(- (* y (+ (* -1 z) (* y (- (* -1 (* y (pow z 3))) (pow z 2))))) 1) |
(/ 1 (* y z)) |
(/ (+ (/ 1 z) (/ 1 (* y (pow z 2)))) y) |
(/ (+ (/ 1 z) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 2) (pow z 3))))) y) |
(/ (+ (/ 1 z) (+ (/ 1 (* y (pow z 2))) (+ (/ 1 (* (pow y 2) (pow z 3))) (/ 1 (* (pow y 3) (pow z 4)))))) y) |
(/ 1 (* y z)) |
(/ (+ (/ 1 z) (/ 1 (* y (pow z 2)))) y) |
(* -1 (/ (- (* -1 (/ (+ (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z)) y)) |
(* -1 (/ (- (* -1 (/ (+ (/ 1 (* y (pow z 3))) (+ (/ 1 (* (pow y 2) (pow z 4))) (/ 1 (pow z 2)))) y)) (/ 1 z)) y)) |
-1 |
(- (* -1 (* y z)) 1) |
(- (* z (+ (* -1 y) (* -1 (* (pow y 2) z)))) 1) |
(- (* z (+ (* -1 y) (* z (- (* -1 (* (pow y 3) z)) (pow y 2))))) 1) |
(/ 1 (* y z)) |
(/ (+ (/ 1 y) (/ 1 (* (pow y 2) z))) z) |
(/ (+ (/ 1 y) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 3) (pow z 2))))) z) |
(/ (+ (/ 1 y) (+ (/ 1 (* (pow y 2) z)) (+ (/ 1 (* (pow y 3) (pow z 2))) (/ 1 (* (pow y 4) (pow z 3)))))) z) |
(/ 1 (* y z)) |
(/ (+ (/ 1 y) (/ 1 (* (pow y 2) z))) z) |
(* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow y 3) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z)) |
(* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow y 3) z)) (+ (/ 1 (* (pow y 4) (pow z 2))) (/ 1 (pow y 2)))) z)) (/ 1 y)) 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))) |
(* 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))) |
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x |
(* x (+ 1 (/ (* z (- (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) y)) x))) |
(* x (+ 1 (/ (* z (- (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) y)) x))) |
(* x (+ 1 (/ (* z (- (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (* z (- (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) y)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) y)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) y)) x)) 1))) |
(+ (/ 1 z) (/ x z)) |
(+ (* -1 y) (+ (/ 1 z) (/ x z))) |
(+ (* y (- (* -1/2 (/ y z)) 1)) (+ (/ 1 z) (/ x z))) |
(+ (* y (- (* -1/2 (/ y z)) 1)) (+ (/ 1 z) (/ x z))) |
(* -1/2 (/ (pow y 2) z)) |
(* -1 (* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ 1 y)))) |
(* (pow y 2) (- (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z))) (+ (* 1/2 (/ 1 z)) (/ 1 y)))) |
(* (pow y 2) (- (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z))) (+ (* 1/2 (/ 1 z)) (/ 1 y)))) |
(* -1/2 (/ (pow y 2) z)) |
(* -1 (* (pow y 2) (+ (* 1/2 (/ 1 z)) (/ 1 y)))) |
(* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ (+ (/ 1 z) (/ x z)) y))) y)) (* 1/2 (/ 1 z)))) |
(* (pow y 2) (- (* -1 (/ (+ 1 (* -1 (/ (+ (/ 1 z) (/ x z)) y))) y)) (* 1/2 (/ 1 z)))) |
(/ (+ 1 (+ x (* -1/2 (pow y 2)))) z) |
(/ (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) z) |
(/ (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) z) |
(/ (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) z) |
(* -1 y) |
(- (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))) y) |
(- (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))) y) |
(- (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))) y) |
(* -1 y) |
(- (* -1 (/ (- (+ (* -1 x) (* 1/2 (pow y 2))) 1) z)) y) |
(- (* -1 (/ (- (+ (* -1 x) (* 1/2 (pow y 2))) 1) z)) y) |
(- (* -1 (/ (- (+ (* -1 x) (* 1/2 (pow y 2))) 1) z)) y) |
(- (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) y) |
(- (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))) y) |
(- (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))) y) |
(- (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))) y) |
(/ x z) |
(* x (- (+ (* -1/2 (/ (pow y 2) (* x z))) (+ (/ 1 z) (/ 1 (* x z)))) (/ y x))) |
(* x (- (+ (* -1/2 (/ (pow y 2) (* x z))) (+ (/ 1 z) (/ 1 (* x z)))) (/ y x))) |
(* x (- (+ (* -1/2 (/ (pow y 2) (* x z))) (+ (/ 1 z) (/ 1 (* x z)))) (/ y x))) |
(/ x z) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) y) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) y) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) y) x)) (/ 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))) |
(* 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 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2)) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* -1 (* y z)) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(+ 1 (* y (- (* -1/2 y) z))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
x |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
-1 |
(- (* (pow y 2) (pow z 2)) 1) |
(- (* (pow y 2) (pow z 2)) 1) |
(- (* (pow y 2) (pow z 2)) 1) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (- (pow z 2) (/ 1 (pow y 2)))) |
(* (pow y 2) (- (pow z 2) (/ 1 (pow y 2)))) |
(* (pow y 2) (- (pow z 2) (/ 1 (pow y 2)))) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (- (pow z 2) (/ 1 (pow y 2)))) |
(* (pow y 2) (- (pow z 2) (/ 1 (pow y 2)))) |
(* (pow y 2) (- (pow z 2) (/ 1 (pow y 2)))) |
-1 |
(- (* (pow y 2) (pow z 2)) 1) |
(- (* (pow y 2) (pow z 2)) 1) |
(- (* (pow y 2) (pow z 2)) 1) |
(* (pow y 2) (pow z 2)) |
(* (pow z 2) (- (pow y 2) (/ 1 (pow z 2)))) |
(* (pow z 2) (- (pow y 2) (/ 1 (pow z 2)))) |
(* (pow z 2) (- (pow y 2) (/ 1 (pow z 2)))) |
(* (pow y 2) (pow z 2)) |
(* (pow z 2) (- (pow y 2) (/ 1 (pow z 2)))) |
(* (pow z 2) (- (pow y 2) (/ 1 (pow z 2)))) |
(* (pow z 2) (- (pow y 2) (/ 1 (pow z 2)))) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
(* y (pow z 2)) |
z |
(+ z (* -1/6 (* (pow y 2) z))) |
(+ z (* -1/6 (* (pow y 2) z))) |
(+ z (* -1/6 (* (pow y 2) z))) |
(* -1/6 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2)))) |
(* -1/6 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2)))) |
(* z (+ 1 (* -1/6 (pow y 2)))) |
(* z (+ 1 (* -1/6 (pow y 2)))) |
(* z (+ 1 (* -1/6 (pow y 2)))) |
(* z (+ 1 (* -1/6 (pow y 2)))) |
(* z (+ 1 (* -1/6 (pow y 2)))) |
(* z (+ 1 (* -1/6 (pow y 2)))) |
(* z (+ 1 (* -1/6 (pow y 2)))) |
(* z (+ 1 (* -1/6 (pow y 2)))) |
(* -1 (* z (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* z (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* z (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* z (- (* 1/6 (pow y 2)) 1))) |
(* -1/6 z) |
(* -1/6 z) |
(* -1/6 z) |
(* -1/6 z) |
(* -1/6 z) |
(* -1/6 z) |
(* -1/6 z) |
(* -1/6 z) |
(* -1/6 z) |
(* -1/6 z) |
(* -1/6 z) |
(* -1/6 z) |
(* -1 (/ (* y z) x)) |
(* y (+ (* -1 (/ z x)) (* -1/2 (/ y x)))) |
(* y (+ (* -1 (/ z x)) (* -1/2 (/ y x)))) |
(* y (+ (* -1 (/ z x)) (* -1/2 (/ y x)))) |
(* -1/2 (/ (pow y 2) x)) |
(* (pow y 2) (- (* -1 (/ z (* x y))) (* 1/2 (/ 1 x)))) |
(* (pow y 2) (- (* -1 (/ z (* x y))) (* 1/2 (/ 1 x)))) |
(* (pow y 2) (- (* -1 (/ z (* x y))) (* 1/2 (/ 1 x)))) |
(* -1/2 (/ (pow y 2) x)) |
(* (pow y 2) (- (* -1 (/ z (* x y))) (* 1/2 (/ 1 x)))) |
(* (pow y 2) (- (* -1 (/ z (* x y))) (* 1/2 (/ 1 x)))) |
(* (pow y 2) (- (* -1 (/ z (* x y))) (* 1/2 (/ 1 x)))) |
(* -1/2 (/ (pow y 2) x)) |
(+ (* -1 (/ (* y z) x)) (* -1/2 (/ (pow y 2) x))) |
(+ (* -1 (/ (* y z) x)) (* -1/2 (/ (pow y 2) x))) |
(+ (* -1 (/ (* y z) x)) (* -1/2 (/ (pow y 2) x))) |
(* -1 (/ (* y z) x)) |
(* z (+ (* -1 (/ y x)) (* -1/2 (/ (pow y 2) (* x z))))) |
(* z (+ (* -1 (/ y x)) (* -1/2 (/ (pow y 2) (* x z))))) |
(* z (+ (* -1 (/ y x)) (* -1/2 (/ (pow y 2) (* x z))))) |
(* -1 (/ (* y z) x)) |
(* -1 (* z (+ (* 1/2 (/ (pow y 2) (* x z))) (/ y x)))) |
(* -1 (* z (+ (* 1/2 (/ (pow y 2) (* x z))) (/ y x)))) |
(* -1 (* z (+ (* 1/2 (/ (pow y 2) (* x z))) (/ y x)))) |
(/ (* y (- (* -1/2 y) z)) x) |
(/ (* y (- (* -1/2 y) z)) x) |
(/ (* y (- (* -1/2 y) z)) x) |
(/ (* y (- (* -1/2 y) z)) x) |
(/ (* y (- (* -1/2 y) z)) x) |
(/ (* y (- (* -1/2 y) z)) x) |
(/ (* y (- (* -1/2 y) z)) x) |
(/ (* y (- (* -1/2 y) z)) x) |
(/ (* y (- (* -1/2 y) z)) x) |
(/ (* y (- (* -1/2 y) z)) x) |
(/ (* y (- (* -1/2 y) z)) x) |
(/ (* y (- (* -1/2 y) z)) x) |
(* -1 (/ z x)) |
(+ (* -1 (/ z x)) (* -1/2 (/ y x))) |
(+ (* -1 (/ z x)) (* -1/2 (/ y x))) |
(+ (* -1 (/ z x)) (* -1/2 (/ y x))) |
(* -1/2 (/ y x)) |
(* y (- (* -1 (/ z (* x y))) (* 1/2 (/ 1 x)))) |
(* y (- (* -1 (/ z (* x y))) (* 1/2 (/ 1 x)))) |
(* y (- (* -1 (/ z (* x y))) (* 1/2 (/ 1 x)))) |
(* -1/2 (/ y x)) |
(* -1 (* y (+ (* 1/2 (/ 1 x)) (/ z (* x y))))) |
(* -1 (* y (+ (* 1/2 (/ 1 x)) (/ z (* x y))))) |
(* -1 (* y (+ (* 1/2 (/ 1 x)) (/ z (* x y))))) |
(* -1/2 (/ y x)) |
(+ (* -1 (/ z x)) (* -1/2 (/ y x))) |
(+ (* -1 (/ z x)) (* -1/2 (/ y x))) |
(+ (* -1 (/ z x)) (* -1/2 (/ y x))) |
(* -1 (/ z x)) |
(* z (- (* -1/2 (/ y (* x z))) (/ 1 x))) |
(* z (- (* -1/2 (/ y (* x z))) (/ 1 x))) |
(* z (- (* -1/2 (/ y (* x z))) (/ 1 x))) |
(* -1 (/ z x)) |
(* -1 (* z (+ (* 1/2 (/ y (* x z))) (/ 1 x)))) |
(* -1 (* z (+ (* 1/2 (/ y (* x z))) (/ 1 x)))) |
(* -1 (* z (+ (* 1/2 (/ y (* x z))) (/ 1 x)))) |
(/ (- (* -1/2 y) z) x) |
(/ (- (* -1/2 y) z) x) |
(/ (- (* -1/2 y) z) x) |
(/ (- (* -1/2 y) z) x) |
(/ (- (* -1/2 y) z) x) |
(/ (- (* -1/2 y) z) x) |
(/ (- (* -1/2 y) z) x) |
(/ (- (* -1/2 y) z) x) |
(/ (- (* -1/2 y) z) x) |
(/ (- (* -1/2 y) z) x) |
(/ (- (* -1/2 y) z) x) |
(/ (- (* -1/2 y) z) x) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* y z) 1) |
(fma.f64 y z #s(literal -1 binary64)) |
(- (* y z) 1) |
(fma.f64 y z #s(literal -1 binary64)) |
(- (* y z) 1) |
(fma.f64 y z #s(literal -1 binary64)) |
(* y z) |
(*.f64 y z) |
(* y (- z (/ 1 y))) |
(fma.f64 y z #s(literal -1 binary64)) |
(* y (- z (/ 1 y))) |
(fma.f64 y z #s(literal -1 binary64)) |
(* y (- z (/ 1 y))) |
(fma.f64 y z #s(literal -1 binary64)) |
(* y z) |
(*.f64 y z) |
(* -1 (* y (+ (* -1 z) (/ 1 y)))) |
(fma.f64 y z #s(literal -1 binary64)) |
(* -1 (* y (+ (* -1 z) (/ 1 y)))) |
(fma.f64 y z #s(literal -1 binary64)) |
(* -1 (* y (+ (* -1 z) (/ 1 y)))) |
(fma.f64 y z #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* y z) 1) |
(fma.f64 y z #s(literal -1 binary64)) |
(- (* y z) 1) |
(fma.f64 y z #s(literal -1 binary64)) |
(- (* y z) 1) |
(fma.f64 y z #s(literal -1 binary64)) |
(* y z) |
(*.f64 y z) |
(* z (- y (/ 1 z))) |
(fma.f64 y z #s(literal -1 binary64)) |
(* z (- y (/ 1 z))) |
(fma.f64 y z #s(literal -1 binary64)) |
(* z (- y (/ 1 z))) |
(fma.f64 y z #s(literal -1 binary64)) |
(* y z) |
(*.f64 y z) |
(* -1 (* z (+ (* -1 y) (/ 1 z)))) |
(fma.f64 y z #s(literal -1 binary64)) |
(* -1 (* z (+ (* -1 y) (/ 1 z)))) |
(fma.f64 y z #s(literal -1 binary64)) |
(* -1 (* z (+ (* -1 y) (/ 1 z)))) |
(fma.f64 y z #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (* y z)) 1) |
(fma.f64 y (neg.f64 z) #s(literal -1 binary64)) |
(- (* y (+ (* -1 z) (* -1 (* y (pow z 2))))) 1) |
(fma.f64 y (*.f64 z (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(- (* y (+ (* -1 z) (* y (- (* -1 (* y (pow z 3))) (pow z 2))))) 1) |
(fma.f64 y (-.f64 (neg.f64 (*.f64 (*.f64 z (fma.f64 y (*.f64 z z) z)) y)) z) #s(literal -1 binary64)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ (+ (/ 1 z) (/ 1 (* y (pow z 2)))) y) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y z)))) y) |
(/ (+ (/ 1 z) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 2) (pow z 3))))) y) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y z))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 z (*.f64 z z))))))) y) |
(/ (+ (/ 1 z) (+ (/ 1 (* y (pow z 2))) (+ (/ 1 (* (pow y 2) (pow z 3))) (/ 1 (* (pow y 3) (pow z 4)))))) y) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 z (*.f64 z z))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y z))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y (pow.f64 z #s(literal 4 binary64))))))))) y) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ (+ (/ 1 z) (/ 1 (* y (pow z 2)))) y) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y z)))) y) |
(* -1 (/ (- (* -1 (/ (+ (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z)) y)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z z))) y)) y) |
(* -1 (/ (- (* -1 (/ (+ (/ 1 (* y (pow z 3))) (+ (/ 1 (* (pow y 2) (pow z 4))) (/ 1 (pow z 2)))) y)) (/ 1 z)) y)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (*.f64 z z)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (pow.f64 z #s(literal 4 binary64))))))) y)) y) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (* y z)) 1) |
(fma.f64 y (neg.f64 z) #s(literal -1 binary64)) |
(- (* z (+ (* -1 y) (* -1 (* (pow y 2) z)))) 1) |
(fma.f64 y (*.f64 z (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(- (* z (+ (* -1 y) (* z (- (* -1 (* (pow y 3) z)) (pow y 2))))) 1) |
(fma.f64 z (fma.f64 z (neg.f64 (*.f64 y (fma.f64 y (*.f64 y z) y))) (neg.f64 y)) #s(literal -1 binary64)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ (+ (/ 1 y) (/ 1 (* (pow y 2) z))) z) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y z)))) z) |
(/ (+ (/ 1 y) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 3) (pow z 2))))) z) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y z))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 y (*.f64 y y))))))) z) |
(/ (+ (/ 1 y) (+ (/ 1 (* (pow y 2) z)) (+ (/ 1 (* (pow y 3) (pow z 2))) (/ 1 (* (pow y 4) (pow z 3)))))) z) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 y (*.f64 y y))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y z))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y y) (*.f64 y y))))))) z) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ (+ (/ 1 y) (/ 1 (* (pow y 2) z))) z) |
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(/.f64 (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) |
(/ (- (* -1/2 y) z) x) |
(/.f64 (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) |
(/ (- (* -1/2 y) z) x) |
(/.f64 (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) |
(/ (- (* -1/2 y) z) x) |
(/.f64 (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) |
(/ (- (* -1/2 y) z) x) |
(/.f64 (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) |
(/ (- (* -1/2 y) z) x) |
(/.f64 (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) |
(/ (- (* -1/2 y) z) x) |
(/.f64 (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) |
(/ (- (* -1/2 y) z) x) |
(/.f64 (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
| 1× | batch-egg-rewrite |
| 4 280× | lower-/.f32 |
| 4 268× | lower-/.f64 |
| 3 702× | lower-*.f32 |
| 3 686× | lower-*.f64 |
| 3 484× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 415 |
| 0 | 82 | 415 |
| 1 | 353 | 378 |
| 2 | 3138 | 378 |
| 0 | 8596 | 364 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64)))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
(neg.f64 #s(approx (* z (sin y)) (*.f64 y z))) |
#s(approx (* z (sin y)) (*.f64 y z)) |
(*.f64 y z) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))))) |
(neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z)))) |
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z)) |
(fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) #s(literal 1 binary64)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) #s(literal 1 binary64))))) |
#s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) #s(literal 1 binary64)))) |
(+.f64 x (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) #s(literal 1 binary64))) |
(*.f64 z (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 x z) y))) |
(+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 x z) y)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 x z) y))))) |
#s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 x z) y)))) |
(fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64)) |
(*.f64 z (*.f64 y z)) |
(fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z) |
(*.f64 z #s(literal -1/6 binary64)) |
(*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) |
(/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x) |
(/.f64 (*.f64 y y) z) |
| Outputs |
|---|
(+.f64 (*.f64 y z) #s(literal -1 binary64)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))) (*.f64 y (*.f64 y (*.f64 z z))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))) (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64)))) (*.f64 (*.f64 y (*.f64 y (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))))) |
(+.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))))) |
(exp.f64 (log.f64 (fma.f64 y z #s(literal -1 binary64)))) |
(-.f64 (*.f64 y z) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 y z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 y (*.f64 y (*.f64 z z))))) (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal 1 binary64))) (fma.f64 y z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal 1 binary64))) (fma.f64 y z #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y z #s(literal 1 binary64)))) (/.f64 (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 (fma.f64 y z #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) (*.f64 y (*.f64 y (*.f64 z z))))) (*.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z)))) (fma.f64 y (*.f64 y (*.f64 z z)) (fma.f64 y z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) (fma.f64 y z #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 y z) #s(literal -1 binary64)) |
(fma.f64 y z #s(literal -1 binary64)) |
(fma.f64 z y #s(literal -1 binary64)) |
(fma.f64 z (*.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 y z) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))) (*.f64 (*.f64 y (*.f64 y (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))))) |
(fma.f64 (*.f64 y (*.f64 y (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))) (*.f64 y (*.f64 y (*.f64 z z))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))) (*.f64 y (*.f64 y (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 (fma.f64 y z #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y z #s(literal -1 binary64)))) |
(/.f64 (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal -1 binary64)) (fma.f64 y z #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal -1 binary64))) (neg.f64 (fma.f64 y z #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z))))) #s(literal -1 binary64)) (*.f64 (fma.f64 y z #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z)))) #s(literal -1 binary64)) (*.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z))))) #s(literal -1 binary64))) (*.f64 (fma.f64 y z #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) #s(literal -1 binary64)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z)))) #s(literal -1 binary64))) (*.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z))))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z)))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y z #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z)))) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (*.f64 z z)) (fma.f64 y z #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z))))) #s(literal -1 binary64))) (-.f64 (fma.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))) (fma.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z)))) #s(literal -1 binary64))) (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal -1 binary64))) (fma.f64 y z #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z)))) #s(literal 1 binary64))) (neg.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (fma.f64 y z #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 y z #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z))))) #s(literal -1 binary64)))) (neg.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z)))) #s(literal -1 binary64)))) (neg.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z))))) #s(literal -1 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 y (*.f64 (*.f64 y (*.f64 z z)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))) (fma.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z)))) #s(literal -1 binary64)))) (neg.f64 (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal 1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 y z #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y z #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y z #s(literal -1 binary64)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 y z #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 y z #s(literal -1 binary64)))) |
(*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64)))) |
(*.f64 (fma.f64 y z #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))) (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 y z #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 y z #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal -1 binary64)) (fma.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z))) #s(literal 1 binary64))) (-.f64 (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal 1 binary64)) (*.f64 y z))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal -1 binary64)) (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal -1 binary64))) (fma.f64 y z #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y z #s(literal 1 binary64)))) (neg.f64 (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y z #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal -1 binary64)))) #s(literal -1 binary64))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) x) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)) (*.f64 (/.f64 z x) (/.f64 z x)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) (/.f64 z x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (*.f64 (*.f64 y y) #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (fma.f64 y #s(literal -1/2 binary64) z))) |
(pow.f64 (/.f64 x (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) |
(*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (neg.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 z (*.f64 z z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (*.f64 (*.f64 y y) #s(literal 1/4 binary64))))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z z))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 y y))) #s(literal -1 binary64))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (neg.f64 (log.f64 z)))) |
(exp.f64 (+.f64 (neg.f64 (log.f64 z)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (*.f64 y y) (neg.f64 z))) |
(neg.f64 (/.f64 (*.f64 y y) (neg.f64 z))) |
(neg.f64 (/.f64 (*.f64 y (neg.f64 y)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 y y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z (*.f64 y y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 y y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z (*.f64 y y)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 y y) z) |
(/.f64 (*.f64 y (neg.f64 y)) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 y (neg.f64 y))) (neg.f64 (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) z) |
(/.f64 (*.f64 (*.f64 y y) #s(literal -1 binary64)) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 y (neg.f64 y)))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (neg.f64 z))) |
(pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 z (*.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) z)) |
(*.f64 y (/.f64 y z)) |
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 y z) y) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
Compiled 32 049 to 2 478 computations (92.3% saved)
36 alts after pruning (29 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 378 | 16 | 1 394 |
| Fresh | 7 | 13 | 20 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 388 | 36 | 1 424 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 89.0% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 56.2% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| 27.3% | (*.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) #s(approx (+ x (+ (* z (sin y)) (cos y))) (*.f64 z (sin.f64 y)))))) | |
| 27.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(approx (+ x 1) #s(literal 1 binary64)))) | |
| 56.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (- (* y -1/2) z) (*.f64 z (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64)))) | |
| 33.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) | |
| 10.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 #s(literal 0 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 0 binary64) (*.f64 z (sin.f64 y))))) | |
| 5.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(approx (* z (sin y)) (*.f64 y z)) (*.f64 #s(approx (* z (sin y)) (*.f64 y z)) #s(approx (* z (sin y)) (*.f64 y z))))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(approx (* z (sin y)) (*.f64 y z)) #s(approx (* z (sin y)) (*.f64 y z)) (*.f64 #s(literal 0 binary64) #s(approx (* z (sin y)) (*.f64 y z))))))) | |
| 35.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) #s(approx (+ (* y (* z (* y z))) -1) (*.f64 (*.f64 (fma.f64 z z (/.f64 #s(literal -1 binary64) (*.f64 y y))) y) y)))))) | |
| 63.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)) (fma.f64 y (neg.f64 z) #s(literal -1 binary64)))))) | |
| 46.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)) (/.f64 #s(literal 1 binary64) (*.f64 y z)))))) | |
| 53.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal -1 binary64)) (fma.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z))) #s(literal 1 binary64))) (-.f64 (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal 1 binary64)) (*.f64 y z))))) | |
| 46.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (/ 1 (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1))) (*.f64 y z)))) | |
| ✓ | 73.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
| 47.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) | |
| 48.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) | |
| ✓ | 63.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
| ✓ | 27.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) |
| 9.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y))))) | |
| 9.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (fma.f64 (*.f64 y (*.f64 y (*.f64 y z))) #s(literal -1/6 binary64) (*.f64 y z))))) | |
| 9.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (fma.f64 z y (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y z)))))))) | |
| 9.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y z)) z) y)))) | |
| 2.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y #s(approx (+ (* (* y y) (* z -1/6)) z) (*.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))))))))) | |
| ✓ | 9.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
| 59.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (/ 1 (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)))) (fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z x) x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y (*.f64 z x) x))) x))) | |
| 54.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (/ 1 (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)))) (*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z)))) | |
| 27.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))) | |
| 39.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) x) (*.f64 x z)) (*.f64 x x))) #s(literal 1 binary64))))) | |
| 49.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (fma.f64 x (*.f64 y #s(approx (/ (- (* y -1/2) z) x) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))) #s(literal 1 binary64))))) | |
| ✓ | 47.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 x z) y))))) |
| 42.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z #s(approx (+ (+ (* -1/2 (/ (* y y) z)) (/ 1 z)) (- (/ x z) y)) (fma.f64 (neg.f64 x) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) x) (/.f64 x z)))))) | |
| 31.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z #s(approx (+ (+ (* -1/2 (/ (* y y) z)) (/ 1 z)) (- (/ x z) y)) (/.f64 x z))))) | |
| 3.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) | |
| 30.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) | |
| ✓ | 21.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
| 9.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (neg (* z (sin y))) (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) |
Compiled 1 629 to 584 computations (64.1% 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 (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))) |
#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 #s(approx (/ 1 (/ (+ (* y z) 1) (+ (* y (* z (* 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))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(approx (+ x 1) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z #s(approx (+ (+ (* -1/2 (/ (* y y) z)) (/ 1 z)) (- (/ x z) y)) (/.f64 x z))))) |
#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))) #s(approx (neg (* z (sin y))) (*.f64 y (*.f64 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 (- x (/ 1 (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)))) (*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y #s(approx (+ (* (* y y) (* z -1/6)) z) (*.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)) (fma.f64 y (neg.f64 z) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y z)) z) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (fma.f64 z y (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y z)))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (fma.f64 (*.f64 y (*.f64 y (*.f64 y z))) #s(literal -1/6 binary64) (*.f64 y z))))) |
#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 (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (fma.f64 x (*.f64 y #s(approx (/ (- (* y -1/2) z) x) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)) (/.f64 #s(literal 1 binary64) (*.f64 y z)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (- (* y -1/2) z) (*.f64 z (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.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)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64)) (fma.f64 y z #s(literal 1 binary64))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) x) (*.f64 x z)) (*.f64 x x))) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) z))) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 y z #s(literal -1 binary64))) (*.f64 (+.f64 x (fma.f64 y z #s(literal -1 binary64))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 x z) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z #s(approx (+ (+ (* -1/2 (/ (* y y) z)) (/ 1 z)) (- (/ x z) y)) (fma.f64 (neg.f64 x) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) x) (/.f64 x z)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) #s(approx (+ (* y (* z (* y z))) -1) (*.f64 (*.f64 (fma.f64 z z (/.f64 #s(literal -1 binary64) (*.f64 y y))) y) y)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (/ 1 (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)))) (fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z x) x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y (*.f64 z x) x))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(approx (* z (sin y)) (*.f64 y z)) (*.f64 #s(approx (* z (sin y)) (*.f64 y z)) #s(approx (* z (sin y)) (*.f64 y z))))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(approx (* z (sin y)) (*.f64 y z)) #s(approx (* z (sin y)) (*.f64 y z)) (*.f64 #s(literal 0 binary64) #s(approx (* z (sin y)) (*.f64 y z))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)) #s(literal -1 binary64)) (-.f64 (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal -1 binary64)) (fma.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z))) #s(literal 1 binary64))) (-.f64 (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal 1 binary64)) (*.f64 y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.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)))) |
(-.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 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))))) |
(-.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))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 #s(literal 0 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 0 binary64) (*.f64 z (sin.f64 y))))) |
(/.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))) |
(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 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) #s(approx (+ x (+ (* z (sin y)) (cos y))) (*.f64 z (sin.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)))))) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
4 calls:
| 52.0ms | y |
| 17.0ms | z |
| 17.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 17.0ms | 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 (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))) |
#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 #s(approx (/ 1 (/ (+ (* y z) 1) (+ (* y (* z (* 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))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(approx (+ x 1) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z #s(approx (+ (+ (* -1/2 (/ (* y y) z)) (/ 1 z)) (- (/ x z) y)) (/.f64 x z))))) |
#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))) #s(approx (neg (* z (sin y))) (*.f64 y (*.f64 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 (- x (/ 1 (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)))) (*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y #s(approx (+ (* (* y y) (* z -1/6)) z) (*.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)) (fma.f64 y (neg.f64 z) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y z)) z) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (fma.f64 z y (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y z)))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (fma.f64 (*.f64 y (*.f64 y (*.f64 y z))) #s(literal -1/6 binary64) (*.f64 y z))))) |
#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 (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (fma.f64 x (*.f64 y #s(approx (/ (- (* y -1/2) z) x) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)) (/.f64 #s(literal 1 binary64) (*.f64 y z)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (- (* y -1/2) z) (*.f64 z (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.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)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64)) (fma.f64 y z #s(literal 1 binary64))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) x) (*.f64 x z)) (*.f64 x x))) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) z))) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 y z #s(literal -1 binary64))) (*.f64 (+.f64 x (fma.f64 y z #s(literal -1 binary64))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 x z) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z #s(approx (+ (+ (* -1/2 (/ (* y y) z)) (/ 1 z)) (- (/ x z) y)) (fma.f64 (neg.f64 x) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) x) (/.f64 x z)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) #s(approx (+ (* y (* z (* y z))) -1) (*.f64 (*.f64 (fma.f64 z z (/.f64 #s(literal -1 binary64) (*.f64 y y))) y) y)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (/ 1 (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)))) (fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z x) x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y (*.f64 z x) x))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(approx (* z (sin y)) (*.f64 y z)) (*.f64 #s(approx (* z (sin y)) (*.f64 y z)) #s(approx (* z (sin y)) (*.f64 y z))))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(approx (* z (sin y)) (*.f64 y z)) #s(approx (* z (sin y)) (*.f64 y z)) (*.f64 #s(literal 0 binary64) #s(approx (* z (sin y)) (*.f64 y z))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)) #s(literal -1 binary64)) (-.f64 (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal -1 binary64)) (fma.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z))) #s(literal 1 binary64))) (-.f64 (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal 1 binary64)) (*.f64 y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.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)))) |
(-.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 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (*.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) (*.f64 (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z)))))) |
(-.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)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
4 calls:
| 69.0ms | x |
| 66.0ms | z |
| 15.0ms | y |
| 15.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 3 | x |
| 89.0% | 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 (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))) |
#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 #s(approx (/ 1 (/ (+ (* y z) 1) (+ (* y (* z (* 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))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(approx (+ x 1) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z #s(approx (+ (+ (* -1/2 (/ (* y y) z)) (/ 1 z)) (- (/ x z) y)) (/.f64 x z))))) |
#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))) #s(approx (neg (* z (sin y))) (*.f64 y (*.f64 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 (- x (/ 1 (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)))) (*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y #s(approx (+ (* (* y y) (* z -1/6)) z) (*.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)) (fma.f64 y (neg.f64 z) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y z)) z) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (fma.f64 z y (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y z)))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (fma.f64 (*.f64 y (*.f64 y (*.f64 y z))) #s(literal -1/6 binary64) (*.f64 y z))))) |
#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 (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (fma.f64 x (*.f64 y #s(approx (/ (- (* y -1/2) z) x) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)) (/.f64 #s(literal 1 binary64) (*.f64 y z)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (- (* y -1/2) z) (*.f64 z (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.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)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64)) (fma.f64 y z #s(literal 1 binary64))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) x) (*.f64 x z)) (*.f64 x x))) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) z))) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 y z #s(literal -1 binary64))) (*.f64 (+.f64 x (fma.f64 y z #s(literal -1 binary64))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 x z) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z #s(approx (+ (+ (* -1/2 (/ (* y y) z)) (/ 1 z)) (- (/ x z) y)) (fma.f64 (neg.f64 x) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) x) (/.f64 x z)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) #s(approx (+ (* y (* z (* y z))) -1) (*.f64 (*.f64 (fma.f64 z z (/.f64 #s(literal -1 binary64) (*.f64 y y))) y) y)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (/ 1 (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)))) (fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z x) x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y (*.f64 z x) x))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(approx (* z (sin y)) (*.f64 y z)) (*.f64 #s(approx (* z (sin y)) (*.f64 y z)) #s(approx (* z (sin y)) (*.f64 y z))))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(approx (* z (sin y)) (*.f64 y z)) #s(approx (* z (sin y)) (*.f64 y z)) (*.f64 #s(literal 0 binary64) #s(approx (* z (sin y)) (*.f64 y z))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)) #s(literal -1 binary64)) (-.f64 (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal -1 binary64)) (fma.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z))) #s(literal 1 binary64))) (-.f64 (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal 1 binary64)) (*.f64 y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.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)))) |
| 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)))) |
4 calls:
| 56.0ms | x |
| 27.0ms | y |
| 15.0ms | z |
| 14.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.0% | 3 | y |
| 73.7% | 1 | x |
| 76.5% | 2 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 85.4% | 3 | z |
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 (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))) |
#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 #s(approx (/ 1 (/ (+ (* y z) 1) (+ (* y (* z (* 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))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(approx (+ x 1) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z #s(approx (+ (+ (* -1/2 (/ (* y y) z)) (/ 1 z)) (- (/ x z) y)) (/.f64 x z))))) |
#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))) #s(approx (neg (* z (sin y))) (*.f64 y (*.f64 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 (- x (/ 1 (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)))) (*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y #s(approx (+ (* (* y y) (* z -1/6)) z) (*.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)) (fma.f64 y (neg.f64 z) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y z)) z) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (fma.f64 z y (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y z)))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (fma.f64 (*.f64 y (*.f64 y (*.f64 y z))) #s(literal -1/6 binary64) (*.f64 y z))))) |
#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 (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (fma.f64 x (*.f64 y #s(approx (/ (- (* y -1/2) z) x) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)) (/.f64 #s(literal 1 binary64) (*.f64 y z)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (- (* y -1/2) z) (*.f64 z (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.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)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64)) (fma.f64 y z #s(literal 1 binary64))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) x) (*.f64 x z)) (*.f64 x x))) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) z))) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 y z #s(literal -1 binary64))) (*.f64 (+.f64 x (fma.f64 y z #s(literal -1 binary64))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 x z) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z #s(approx (+ (+ (* -1/2 (/ (* y y) z)) (/ 1 z)) (- (/ x z) y)) (fma.f64 (neg.f64 x) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) x) (/.f64 x z)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) #s(approx (+ (* y (* z (* y z))) -1) (*.f64 (*.f64 (fma.f64 z z (/.f64 #s(literal -1 binary64) (*.f64 y y))) y) y)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (/ 1 (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)))) (fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z x) x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y (*.f64 z x) x))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(approx (* z (sin y)) (*.f64 y z)) (*.f64 #s(approx (* z (sin y)) (*.f64 y z)) #s(approx (* z (sin y)) (*.f64 y z))))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(approx (* z (sin y)) (*.f64 y z)) #s(approx (* z (sin y)) (*.f64 y z)) (*.f64 #s(literal 0 binary64) #s(approx (* z (sin y)) (*.f64 y z))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)) #s(literal -1 binary64)) (-.f64 (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal -1 binary64)) (fma.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z))) #s(literal 1 binary64))) (-.f64 (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal 1 binary64)) (*.f64 y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (- (+ 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 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
2 calls:
| 29.0ms | y |
| 14.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.0% | 3 | y |
| 79.0% | 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 (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))) |
#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 #s(approx (/ 1 (/ (+ (* y z) 1) (+ (* y (* z (* 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))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(approx (+ x 1) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z #s(approx (+ (+ (* -1/2 (/ (* y y) z)) (/ 1 z)) (- (/ x z) y)) (/.f64 x z))))) |
#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))) #s(approx (neg (* z (sin y))) (*.f64 y (*.f64 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 (- x (/ 1 (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)))) (*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y #s(approx (+ (* (* y y) (* z -1/6)) z) (*.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)) (fma.f64 y (neg.f64 z) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y z)) z) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (fma.f64 z y (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y z)))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (fma.f64 (*.f64 y (*.f64 y (*.f64 y z))) #s(literal -1/6 binary64) (*.f64 y z))))) |
#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 (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (fma.f64 x (*.f64 y #s(approx (/ (- (* y -1/2) z) x) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)) (/.f64 #s(literal 1 binary64) (*.f64 y z)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (- (* y -1/2) z) (*.f64 z (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.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)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64)) (fma.f64 y z #s(literal 1 binary64))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) x) (*.f64 x z)) (*.f64 x x))) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) z))) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 y z #s(literal -1 binary64))) (*.f64 (+.f64 x (fma.f64 y z #s(literal -1 binary64))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 x z) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z #s(approx (+ (+ (* -1/2 (/ (* y y) z)) (/ 1 z)) (- (/ x z) y)) (fma.f64 (neg.f64 x) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) x) (/.f64 x z)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) #s(approx (+ (* y (* z (* y z))) -1) (*.f64 (*.f64 (fma.f64 z z (/.f64 #s(literal -1 binary64) (*.f64 y y))) y) y)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (/ 1 (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)))) (fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z x) x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y (*.f64 z x) x))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(approx (* z (sin y)) (*.f64 y z)) (*.f64 #s(approx (* z (sin y)) (*.f64 y z)) #s(approx (* z (sin y)) (*.f64 y z))))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(approx (* z (sin y)) (*.f64 y z)) #s(approx (* z (sin y)) (*.f64 y z)) (*.f64 #s(literal 0 binary64) #s(approx (* z (sin y)) (*.f64 y z))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)) #s(literal -1 binary64)) (-.f64 (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal -1 binary64)) (fma.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z))) #s(literal 1 binary64))) (-.f64 (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal 1 binary64)) (*.f64 y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) |
| Outputs |
|---|
#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))) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
4 calls:
| 31.0ms | y |
| 25.0ms | x |
| 24.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 14.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.7% | 3 | x |
| 75.9% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 65.6% | 1 | z |
| 72.6% | 4 | 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 (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))) |
#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 #s(approx (/ 1 (/ (+ (* y z) 1) (+ (* y (* z (* 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))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(approx (+ x 1) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z #s(approx (+ (+ (* -1/2 (/ (* y y) z)) (/ 1 z)) (- (/ x z) y)) (/.f64 x z))))) |
#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))) #s(approx (neg (* z (sin y))) (*.f64 y (*.f64 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 (- x (/ 1 (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)))) (*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y #s(approx (+ (* (* y y) (* z -1/6)) z) (*.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)) (fma.f64 y (neg.f64 z) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y z)) z) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (fma.f64 z y (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y z)))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (fma.f64 (*.f64 y (*.f64 y (*.f64 y z))) #s(literal -1/6 binary64) (*.f64 y z))))) |
#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 (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (fma.f64 x (*.f64 y #s(approx (/ (- (* y -1/2) z) x) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)) (/.f64 #s(literal 1 binary64) (*.f64 y z)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (- (* y -1/2) z) (*.f64 z (fma.f64 y (/.f64 #s(literal -1/2 binary64) z) #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.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)) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64)) (fma.f64 y z #s(literal 1 binary64))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (+.f64 x (fma.f64 x (*.f64 y (/.f64 (-.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) x) (*.f64 x z)) (*.f64 x x))) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) z))) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 y z #s(literal -1 binary64))) (*.f64 (+.f64 x (fma.f64 y z #s(literal -1 binary64))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 x z) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z #s(approx (+ (+ (* -1/2 (/ (* y y) z)) (/ 1 z)) (- (/ x z) y)) (fma.f64 (neg.f64 x) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) x) (/.f64 x z)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) #s(approx (+ (* y (* z (* y z))) -1) (*.f64 (*.f64 (fma.f64 z z (/.f64 #s(literal -1 binary64) (*.f64 y y))) y) y)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (/ 1 (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)))) (fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z x) x)) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y (*.f64 z x) x))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(approx (* z (sin y)) (*.f64 y z)) (*.f64 #s(approx (* z (sin y)) (*.f64 y z)) #s(approx (* z (sin y)) (*.f64 y z))))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(approx (* z (sin y)) (*.f64 y z)) #s(approx (* z (sin y)) (*.f64 y z)) (*.f64 #s(literal 0 binary64) #s(approx (* z (sin y)) (*.f64 y z))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)) #s(literal -1 binary64)) (-.f64 (fma.f64 y (*.f64 z (*.f64 y z)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 y z)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (*.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal -1 binary64)) (fma.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z))) #s(literal 1 binary64))) (-.f64 (fma.f64 y (*.f64 y (*.f64 z z)) #s(literal 1 binary64)) (*.f64 y z))))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)) (fma.f64 y (neg.f64 z) #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))) |
3 calls:
| 253.0ms | x |
| 13.0ms | y |
| 13.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.7% | 3 | y |
| 68.9% | 2 | x |
| 67.5% | 2 | (-.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 (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))) |
#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 #s(approx (/ 1 (/ (+ (* y z) 1) (+ (* y (* z (* 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))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(approx (+ x 1) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z #s(approx (+ (+ (* -1/2 (/ (* y y) z)) (/ 1 z)) (- (/ x z) y)) (/.f64 x z))))) |
#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))) #s(approx (neg (* z (sin y))) (*.f64 y (*.f64 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 (- x (/ 1 (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)))) (*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y #s(approx (+ (* (* y y) (* z -1/6)) z) (*.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))))))))) |
| 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:
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.7% | 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 (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))) |
#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 #s(approx (/ 1 (/ (+ (* y z) 1) (+ (* y (* z (* 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))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(approx (+ x 1) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 z #s(approx (+ (+ (* -1/2 (/ (* y y) z)) (/ 1 z)) (- (/ x z) y)) (/.f64 x z))))) |
| 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 |
|---|---|---|
| 70.6% | 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 (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))) |
#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 #s(approx (/ 1 (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1))) (*.f64 y z)))) |
| Outputs |
|---|
#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))) #s(approx (- x (+ (* y z) -1)) (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
4 calls:
| 3.0ms | z |
| 3.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.3% | 1 | z |
| 66.1% | 2 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 68.7% | 3 | x |
| 63.3% | 1 | 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 (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))) |
| 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)) (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.7% | 3 | x |
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 (+ (* y (- (* y -1/2) z)) (+ x 1)) (*.f64 y (neg.f64 z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
3 calls:
| 10.0ms | x |
| 2.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.3% | 1 | z |
| 63.3% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 63.3% | 1 | x |
Compiled 20 to 14 computations (30% 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 | z |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 21.0% | 1 | y |
| 21.0% | 1 | x |
| 21.0% | 1 | z |
| 21.0% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 1.3700195145028491e-5 | 4349600111823.4043 |
| 15.0ms | -162836199984584000.0 | -2931650167738175.0 |
| 26.0ms | 272× | 0 | valid |
Compiled 389 to 269 computations (30.8% saved)
ival-cos: 7.0ms (36.3% of total)ival-sin: 7.0ms (36.3% of total)ival-mult: 2.0ms (10.4% of total)ival-sub: 1.0ms (5.2% of total)ival-add: 1.0ms (5.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 2.953191254859216e+108 | 2.649545880524095e+114 |
| 10.0ms | -3.6007612440723393e+118 | -1.6907106600946675e+118 |
| 19.0ms | 224× | 0 | valid |
Compiled 281 to 196 computations (30.2% saved)
ival-cos: 5.0ms (37.7% of total)ival-sin: 5.0ms (37.7% of total)ival-sub: 1.0ms (7.5% of total)ival-add: 1.0ms (7.5% of total)ival-mult: 1.0ms (7.5% 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 | 2.6095832257275342e-20 | 3.9725195365403016e-15 |
| 24.0ms | -752088.9843382413 | -22784.914523826465 |
| 22.0ms | 256× | 0 | valid |
Compiled 479 to 302 computations (37% saved)
ival-cos: 6.0ms (37.3% of total)ival-sin: 5.0ms (31.1% of total)ival-mult: 2.0ms (12.4% of total)ival-sub: 1.0ms (6.2% of total)ival-add: 1.0ms (6.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9994964613959268 | 0.9999999999999902 |
| 0.0ms | -1764626.8649954235 | -0.9963013534424775 |
Compiled 15 to 14 computations (6.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 42.0ms | 306523.5188173435 | 16252019.070476523 |
| 28.0ms | -6.30195738239531e+36 | -1.3566543161878847e+24 |
| 57.0ms | 272× | 0 | valid |
Compiled 476 to 326 computations (31.5% saved)
ival-cos: 11.0ms (46.6% of total)ival-sin: 8.0ms (33.9% of total)ival-mult: 2.0ms (8.5% of total)ival-sub: 1.0ms (4.2% of total)ival-add: 1.0ms (4.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 306523.5188173435 | 16252019.070476523 |
| 1.0ms | -6.30195738239531e+36 | -1.3566543161878847e+24 |
Compiled 406 to 286 computations (29.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 306523.5188173435 | 16252019.070476523 |
| 30.0ms | -2.549801784290906e+43 | -1.2233513058816924e+42 |
| 36.0ms | 208× | 0 | valid |
Compiled 281 to 196 computations (30.2% saved)
ival-cos: 21.0ms (69.2% of total)ival-sin: 6.0ms (19.8% of total)ival-sub: 1.0ms (3.3% of total)ival-add: 1.0ms (3.3% of total)ival-mult: 1.0ms (3.3% 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 |
|---|---|---|
| 27.0ms | 3.2062085873281466e-9 | 0.03413213872398803 |
| 4.0ms | -1.3325302772921804e-19 | -1.1159215030919936e-19 |
| 24.0ms | 176× | 0 | valid |
Compiled 230 to 157 computations (31.7% saved)
ival-mult: 11.0ms (55% of total)ival-cos: 4.0ms (20% of total)ival-sin: 3.0ms (15% of total)ival-sub: 1.0ms (5% of total)ival-add: 1.0ms (5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.2062085873281466e-9 | 0.03413213872398803 |
| 20.0ms | -1764626.0947619898 | -0.00028597404022876453 |
| 14.0ms | 160× | 0 | valid |
Compiled 376 to 261 computations (30.6% saved)
ival-cos: 3.0ms (29.6% of total)ival-sin: 3.0ms (29.6% of total)ival-sub: 2.0ms (19.7% of total)ival-add: 1.0ms (9.9% of total)ival-mult: 1.0ms (9.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 36× | +-commutative_binary64 |
| 32× | sub-neg_binary64 |
| 30× | *-commutative_binary64 |
| 18× | neg-sub0_binary64 |
| 18× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 112 | 563 |
| 1 | 144 | 563 |
| 2 | 174 | 563 |
| 3 | 190 | 563 |
| 4 | 201 | 563 |
| 5 | 202 | 563 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 z #s(literal -3000000000000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 4278419646001971/4503599627370496 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 -35000000000000001629455924023713420338148153542577347383114008038112550807948670393611176249917118587529755633809096704 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) (if (<=.f64 z #s(literal 1600000000000000037710988022672409333199252472091010981007860062829250669545858772157294978547919216419702571008 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 -23000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 4943837340890095/1267650600228229401496703205376 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 4501347827556811/4503599627370496 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -2200000000000000016777216 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)) (fma.f64 y (neg.f64 z) #s(literal -1 binary64)))))) (if (<=.f64 y #s(literal 3100000 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 -2200000000000000016777216 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 3100000 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 -1240000000000000061847983917241038188576768 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 1750000 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 -5399988732876221/41538374868278621028243970633760768 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y z) -1) (*.f64 y z)))) (if (<=.f64 x #s(literal 5077488442381443/1208925819614629174706176 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -5534023222112865/18446744073709551616 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal 5077488442381443/1208925819614629174706176 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (fma.f64 y (neg.f64 z) #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))) (+.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 (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 z #s(literal -3000000000000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 4278419646001971/4503599627370496 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 -3000000000000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 4278419646001971/4503599627370496 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -35000000000000001629455924023713420338148153542577347383114008038112550807948670393611176249917118587529755633809096704 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y)))) (if (<=.f64 z #s(literal 1600000000000000037710988022672409333199252472091010981007860062829250669545858772157294978547919216419702571008 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 -35000000000000001629455924023713420338148153542577347383114008038112550807948670393611176249917118587529755633809096704 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) (if (<=.f64 z #s(literal 1600000000000000037710988022672409333199252472091010981007860062829250669545858772157294978547919216419702571008 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))))) |
(if (<=.f64 y #s(literal -23000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 4943837340890095/1267650600228229401496703205376 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)))) |
(if (<=.f64 y #s(literal -23000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 4943837340890095/1267650600228229401496703205376 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 4501347827556811/4503599627370496 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -2200000000000000016777216 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)) (fma.f64 y (neg.f64 z) #s(literal -1 binary64)))))) (if (<=.f64 y #s(literal 3100000 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 -2200000000000000016777216 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* y z) 1) (+ (* y (* z (* y z))) -1)) (fma.f64 y (neg.f64 z) #s(literal -1 binary64)))))) (if (<=.f64 y #s(literal 3100000 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 -2200000000000000016777216 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 3100000 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 -1240000000000000061847983917241038188576768 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 1750000 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 -5399988732876221/41538374868278621028243970633760768 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* y z) -1) (*.f64 y z)))) (if (<=.f64 x #s(literal 5077488442381443/1208925819614629174706176 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -5534023222112865/18446744073709551616 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 x #s(literal 5077488442381443/1208925819614629174706176 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* y z) -1)) (fma.f64 y (neg.f64 z) #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))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
| 13 218× | lower-fma.f64 |
| 13 218× | lower-fma.f32 |
| 12 396× | lower-fma.f64 |
| 12 396× | lower-fma.f32 |
| 9 680× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 182 | 2866 |
| 1 | 529 | 2832 |
| 2 | 1369 | 2826 |
| 3 | 3789 | 2818 |
| 0 | 8486 | 2700 |
| 0 | 455 | 7988 |
| 1 | 1356 | 7676 |
| 2 | 3953 | 7469 |
| 0 | 8171 | 7100 |
| 0 | 564 | 5909 |
| 1 | 1757 | 5723 |
| 2 | 5563 | 5599 |
| 0 | 8329 | 5345 |
| 0 | 118 | 674 |
| 1 | 334 | 669 |
| 2 | 869 | 661 |
| 3 | 2601 | 657 |
| 4 | 5310 | 657 |
| 5 | 7449 | 657 |
| 0 | 8079 | 629 |
| 0 | 36 | 195 |
| 0 | 57 | 187 |
| 1 | 235 | 184 |
| 2 | 1831 | 184 |
| 0 | 8602 | 181 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 515 to 250 computations (51.5% saved)
Compiled 586 to 172 computations (70.6% saved)
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