
Time bar (total: 9.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 782.0ms | 8 254× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
| 0.0ms | 1× | 1 | valid |
ival-div: 114.0ms (52.8% of total)ival-add: 89.0ms (41.2% of total)ival-true: 6.0ms (2.8% of total)exact: 5.0ms (2.3% of total)ival-assert: 3.0ms (1.4% of total)adjust: 0.0ms (0% of total)| 1× | egg-herbie |
| 402× | times-frac |
| 356× | associate-*r* |
| 272× | div-sub |
| 238× | unsub-neg |
| 238× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 41 |
| 1 | 42 | 35 |
| 2 | 86 | 35 |
| 3 | 204 | 35 |
| 4 | 577 | 35 |
| 5 | 1216 | 35 |
| 6 | 1586 | 35 |
| 7 | 1979 | 35 |
| 8 | 2103 | 35 |
| 9 | 2174 | 35 |
| 10 | 2186 | 35 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 13 | 7 |
| 0 | 13 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (+.f64 y #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| 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 |
| 22.0ms | 512× | 0 | valid |
Compiled 54 to 28 computations (48.1% saved)
ival-add: 5.0ms (51.8% of total)ival-div: 3.0ms (31.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 y #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 8× | lower-+.f32 |
| 4× | lift-+.f64 |
| 4× | lower-+.f64 |
| 4× | +-commutative |
| 2× | lift-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 9 | 16 |
| 1 | 13 | 16 |
| 0 | 13 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(+.f64 x y) |
x |
y |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(+.f64 x y) |
x |
y |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 y #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 x y) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 14.0ms | 256× | 0 | valid |
Compiled 18 to 8 computations (55.6% saved)
ival-add: 6.0ms (75.2% of total)ival-div: 2.0ms (25.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))> |
#<alt (+.f64 x y)> |
#<alt (+.f64 y #s(literal 1 binary64))> |
| Outputs |
|---|
#<alt (/ y (+ 1 y))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (/ x (+ 1 y))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (/ x (+ 1 y))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt x> |
#<alt (+ x (* y (- 1 x)))> |
#<alt (+ x (* y (- (+ 1 (* y (- x 1))) x)))> |
#<alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))> |
#<alt 1> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))> |
#<alt y> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt x> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt y> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt 1> |
#<alt (+ 1 y)> |
#<alt (+ 1 y)> |
#<alt (+ 1 y)> |
#<alt y> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt y> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/ (+ x y) (+ y 1)) |
| 0.0ms | x | @ | -inf | (/ (+ x y) (+ y 1)) |
| 0.0ms | x | @ | 0 | (/ (+ x y) (+ y 1)) |
| 0.0ms | y | @ | inf | (/ (+ x y) (+ y 1)) |
| 0.0ms | x | @ | inf | (+ x y) |
| 1× | egg-herbie |
| 12 130× | lower-fma.f64 |
| 12 130× | lower-fma.f32 |
| 3 512× | lower-+.f64 |
| 3 512× | lower-+.f32 |
| 3 160× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 362 |
| 1 | 263 | 358 |
| 2 | 670 | 338 |
| 3 | 2440 | 308 |
| 0 | 8253 | 300 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/ x (+ 1 y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
1 |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
1 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
| Outputs |
|---|
(/ y (+ 1 y)) |
(/.f64 y (+.f64 y #s(literal 1 binary64))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x)) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (-.f64 (*.f64 y x) y) (+.f64 y #s(literal -1 binary64)) x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 y (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) x) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (*.f64 y y)))) (-.f64 (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) y)) |
y |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
| 1× | batch-egg-rewrite |
| 5 790× | lower-/.f32 |
| 5 788× | lower-/.f64 |
| 5 040× | lower-*.f64 |
| 5 040× | lower-*.f32 |
| 2 694× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 43 | 13 |
| 2 | 307 | 13 |
| 3 | 3741 | 13 |
| 0 | 9904 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(+.f64 x y) |
(+.f64 y #s(literal 1 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) y)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) y) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)) |
(+.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))) |
(+.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y))) |
(+.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 y y #s(literal -1 binary64))) y) (*.f64 (/.f64 (+.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) (*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) |
(+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) |
(+.f64 (*.f64 (*.f64 y y) (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (*.f64 y y) (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(+.f64 (*.f64 y (/.f64 (+.f64 x y) (fma.f64 y y #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) (fma.f64 y y #s(literal -1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (+.f64 y #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (+.f64 y #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y))) (/.f64 (*.f64 y y) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (+.f64 y #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (+.f64 y #s(literal 1 binary64)))) |
(-.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(-.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
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(*.f64 (pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
Compiled 12 722 to 1 480 computations (88.4% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 515 | 7 | 522 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 516 | 7 | 523 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) |
| 47.6% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 (*.f64 y x) y) (+.f64 y #s(literal -1 binary64)) x)) | |
| ▶ | 47.9% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) |
| ▶ | 51.3% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
| ▶ | 50.5% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
| 53.1% | #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) | |
| ▶ | 40.7% | #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
Compiled 126 to 78 computations (38.1% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 y #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 y (+.f64 y #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 y #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x (+.f64 y #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 x y) |
| ✓ | cost-diff | 0 | (+.f64 y #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) |
| 704× | lower-fma.f32 |
| 702× | lower-fma.f64 |
| 320× | lower-*.f32 |
| 318× | lower-*.f64 |
| 210× | div-sub |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 106 |
| 0 | 26 | 106 |
| 1 | 43 | 104 |
| 2 | 68 | 104 |
| 3 | 111 | 104 |
| 4 | 167 | 104 |
| 5 | 231 | 104 |
| 6 | 314 | 104 |
| 7 | 478 | 104 |
| 8 | 658 | 104 |
| 9 | 793 | 104 |
| 10 | 976 | 104 |
| 11 | 1239 | 104 |
| 12 | 1249 | 104 |
| 13 | 1256 | 104 |
| 14 | 1257 | 104 |
| 0 | 1257 | 104 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) |
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(+.f64 y #s(literal 1 binary64)) |
y |
(+.f64 x y) |
x |
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x) |
y |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
x |
(+.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/.f64 y (+.f64 y #s(literal 1 binary64))) |
y |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) |
(/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) |
#s(literal 1 binary64) |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
y |
(+.f64 x y) |
(+.f64 y x) |
x |
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x) |
y |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
x |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
y |
#s(literal 1 binary64) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(/.f64 y (+.f64 y #s(literal 1 binary64))) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
y |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 y #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 y (+.f64 y #s(literal 1 binary64))) |
| ✓ | accuracy | 51.4% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (+.f64 y #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 x (+.f64 y #s(literal 1 binary64))) |
| ✓ | accuracy | 50.5% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 47.9% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) |
| ✓ | accuracy | 40.7% | #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 y #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 x y) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) |
| 119.0ms | 256× | 0 | valid |
Compiled 88 to 15 computations (83% saved)
ival-div: 99.0ms (92.4% of total)ival-add: 4.0ms (3.7% of total)ival-mult: 3.0ms (2.8% of total)ival-sub: 1.0ms (0.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y))> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))> |
#<alt (+.f64 y #s(literal 1 binary64))> |
#<alt (+.f64 x y)> |
#<alt #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))> |
#<alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))> |
#<alt (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)> |
#<alt (-.f64 #s(literal 1 binary64) x)> |
#<alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64))))> |
#<alt (/.f64 x (+.f64 y #s(literal 1 binary64)))> |
#<alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))> |
#<alt (/.f64 y (+.f64 y #s(literal 1 binary64)))> |
| Outputs |
|---|
#<alt x> |
#<alt (+ x (* y (- 1 x)))> |
#<alt (+ x (* y (- (+ 1 (* y (- x 1))) x)))> |
#<alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))> |
#<alt 1> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))> |
#<alt (/ y (+ 1 y))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (/ x (+ 1 y))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (/ x (+ 1 y))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* y (- y 1)))> |
#<alt (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))> |
#<alt (/ 1 y)> |
#<alt (/ (- 1 (/ 1 y)) y)> |
#<alt (/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)> |
#<alt (/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y)> |
#<alt (/ 1 y)> |
#<alt (* -1 (/ (- (/ 1 y) 1) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y))> |
#<alt 1> |
#<alt (+ 1 y)> |
#<alt (+ 1 y)> |
#<alt (+ 1 y)> |
#<alt y> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt y> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt y> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt x> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt y> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (/ y (+ 1 y))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (/ x (+ 1 y))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (/ x (+ 1 y))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt x> |
#<alt (+ x (* y (- 1 x)))> |
#<alt (+ x (* y (- (+ 1 (* y (- x 1))) x)))> |
#<alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))> |
#<alt 1> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))> |
#<alt (/ y (+ 1 y))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (/ x (+ 1 y))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (/ x (+ 1 y))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt x> |
#<alt (+ x (* y (- 1 x)))> |
#<alt (+ x (* y (- (+ 1 (* y (- x 1))) x)))> |
#<alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))> |
#<alt 1> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))> |
#<alt x> |
#<alt (+ x (* y (- 1 x)))> |
#<alt (+ x (* y (- 1 x)))> |
#<alt (+ x (* y (- 1 x)))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- (+ 1 (/ x y)) x))> |
#<alt (* y (- (+ 1 (/ x y)) x))> |
#<alt (* y (- (+ 1 (/ x y)) x))> |
#<alt (* y (- 1 x))> |
#<alt (* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))> |
#<alt y> |
#<alt (+ y (* x (+ 1 (* -1 y))))> |
#<alt (+ y (* x (+ 1 (* -1 y))))> |
#<alt (+ y (* x (+ 1 (* -1 y))))> |
#<alt (* x (+ 1 (* -1 y)))> |
#<alt (* x (+ 1 (+ (* -1 y) (/ y x))))> |
#<alt (* x (+ 1 (+ (* -1 y) (/ y x))))> |
#<alt (* x (+ 1 (+ (* -1 y) (/ y x))))> |
#<alt (* -1 (* x (- y 1)))> |
#<alt (* -1 (* x (- (+ y (* -1 (/ y x))) 1)))> |
#<alt (* -1 (* x (- (+ y (* -1 (/ y x))) 1)))> |
#<alt (* -1 (* x (- (+ y (* -1 (/ y x))) 1)))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (/ y (+ 1 y))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (/ x (+ 1 y))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (/ x (+ 1 y))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt x> |
#<alt (+ x (* y (- 1 x)))> |
#<alt (+ x (* y (- (+ 1 (* y (- x 1))) x)))> |
#<alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))> |
#<alt 1> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt x> |
#<alt (+ x (* -1 (* x y)))> |
#<alt (+ x (* y (- (* x y) x)))> |
#<alt (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))> |
#<alt (/ x y)> |
#<alt (/ (+ x (* -1 (/ x y))) y)> |
#<alt (/ (- (+ x (/ x (pow y 2))) (/ x y)) y)> |
#<alt (/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)> |
#<alt (/ x y)> |
#<alt (* -1 (/ (+ (* -1 x) (/ x y)) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y))> |
#<alt (/ y (+ 1 y))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (/ x (+ 1 y))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (/ x (+ 1 y))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt x> |
#<alt (+ x (* y (- 1 x)))> |
#<alt (+ x (* y (- (+ 1 (* y (- x 1))) x)))> |
#<alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))> |
#<alt 1> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))> |
#<alt y> |
#<alt (* y (+ 1 (* -1 y)))> |
#<alt (* y (+ 1 (* y (- y 1))))> |
#<alt (* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))> |
#<alt 1> |
#<alt (- 1 (/ 1 y))> |
#<alt (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))> |
#<alt (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))> |
#<alt 1> |
#<alt (- 1 (/ 1 y))> |
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+ (* y (- 1 x)) x) |
| 1.0ms | x | @ | inf | (/ x (+ y 1)) |
| 0.0ms | x | @ | -inf | (/ x (+ y 1)) |
| 0.0ms | x | @ | 0 | (/ x (+ y 1)) |
| 0.0ms | y | @ | -inf | (+ (* y (- 1 x)) x) |
| 1× | egg-herbie |
| 11 576× | lower-fma.f64 |
| 11 576× | lower-fma.f32 |
| 2 894× | lower-*.f64 |
| 2 894× | lower-*.f32 |
| 2 438× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 181 | 2019 |
| 1 | 555 | 1964 |
| 2 | 1380 | 1848 |
| 3 | 4770 | 1798 |
| 0 | 8285 | 1736 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
1 |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/ x (+ 1 y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* y (- y 1))) |
(+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))) |
(/ 1 y) |
(/ (- 1 (/ 1 y)) y) |
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y) |
(/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y) |
(/ 1 y) |
(* -1 (/ (- (/ 1 y) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y)) |
1 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/ x (+ 1 y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
1 |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/ x (+ 1 y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
1 |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- 1 x))) |
(+ x (* y (- 1 x))) |
(* y (- 1 x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- 1 x)) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
y |
(+ y (* x (+ 1 (* -1 y)))) |
(+ y (* x (+ 1 (* -1 y)))) |
(+ y (* x (+ 1 (* -1 y)))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/ x (+ 1 y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
1 |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
x |
(+ x (* -1 (* x y))) |
(+ x (* y (- (* x y) x))) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(/ x y) |
(/ (+ x (* -1 (/ x y))) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/ x (+ 1 y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
1 |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
y |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
1 |
(- 1 (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
1 |
(- 1 (/ 1 y)) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
| Outputs |
|---|
x |
(+ x (* y (- 1 x))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 y (fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) x) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 x (*.f64 y y))) y)) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) #s(literal -1 binary64))) y)) |
(/ y (+ 1 y)) |
(/.f64 y (+.f64 y #s(literal 1 binary64))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (- y 1))) |
(fma.f64 y y (-.f64 #s(literal 1 binary64) y)) |
(+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))) |
(fma.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (- 1 (/ 1 y)) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) |
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y) |
(/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64))) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(* -1 (/ (- (/ 1 y) 1) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) |
(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y)) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64))) y) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
y |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(/ y (+ 1 y)) |
(/.f64 y (+.f64 y #s(literal 1 binary64))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
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(- 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64))) |
| 1× | batch-egg-rewrite |
| 6 756× | lower-fma.f32 |
| 6 754× | lower-fma.f64 |
| 5 180× | lower-*.f32 |
| 5 178× | lower-*.f64 |
| 4 638× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 88 |
| 0 | 26 | 86 |
| 1 | 103 | 86 |
| 2 | 778 | 86 |
| 0 | 8441 | 86 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) |
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 x y) |
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/.f64 y (+.f64 y #s(literal 1 binary64))) |
| Outputs |
|---|
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(+.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(+.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))) |
(+.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y))) |
(+.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 y y) (/.f64 (+.f64 y x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 y x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 y x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (*.f64 y y) (/.f64 (+.f64 y x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(+.f64 (*.f64 y (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x))) #s(literal -1 binary64))) |
(-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(-.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y x) (-.f64 #s(literal -1 binary64) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 y x) (-.f64 #s(literal -1 binary64) y))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (+.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (+.f64 #s(literal 1 binary64) y))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 x y))) (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 x y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) x) (+.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 y (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) y (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 y #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 x #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) y)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) y) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) x) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (*.f64 y y) (/.f64 (+.f64 y x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 y x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 y x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 (*.f64 y y) (/.f64 (+.f64 y x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (neg.f64 y) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (neg.f64 x) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) x) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) y) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 (+.f64 y x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 (+.f64 y x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y))) |
(fma.f64 (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) y (*.f64 (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 x (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) y) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (-.f64 (*.f64 y y) y) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y x (neg.f64 x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) x) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) y) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) #s(literal -1/2 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) #s(literal -1/2 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (*.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 (neg.f64 x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))) (+.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 y (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 y (fma.f64 y (neg.f64 y) #s(literal 1 binary64))) (+.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 x (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 x (fma.f64 y (neg.f64 y) #s(literal 1 binary64))) (+.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(neg.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal -1 binary64) y))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (+.f64 y x))) |
(neg.f64 (+.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y)))) |
(neg.f64 (+.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal -1 binary64) y)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)) x) y) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (/.f64 (+.f64 #s(literal 1 binary64) y) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)) x) (+.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 y y y) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) x) (+.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)) y) (fma.f64 x (/.f64 (+.f64 #s(literal 1 binary64) y) y) (+.f64 #s(literal 1 binary64) y)))) |
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(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) x)) |
(/.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (/.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(/.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 x (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (fma.f64 y x (neg.f64 x)) (fma.f64 y y #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y))))) |
(/.f64 (*.f64 (/.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)) |
(/.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 x #s(literal 1 binary64))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) x)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (neg.f64 x)) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) x)) |
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) |
(*.f64 (/.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(*.f64 (/.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y))) |
(*.f64 (/.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 x (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y x (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))) (+.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (/.f64 x (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 x (fma.f64 y (neg.f64 y) #s(literal 1 binary64))) (+.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(+.f64 (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))) |
(+.f64 (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y))) |
(+.f64 (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) y) (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(+.f64 (*.f64 y (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(fma.f64 y (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) |
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y) (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y))) |
(fma.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) y (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) y)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) y)) |
(/.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (-.f64 (*.f64 y y) y) (fma.f64 y y #s(literal -1 binary64))) |
(/.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(/.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 y (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y))))) |
(/.f64 (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)) |
(/.f64 (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) y)) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (neg.f64 y)) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) y)) |
(*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) |
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y))) |
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) |
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (-.f64 (*.f64 y y) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 (neg.f64 y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (/.f64 y (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 y (fma.f64 y (neg.f64 y) #s(literal 1 binary64))) (+.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)) |
Compiled 25 665 to 2 396 computations (90.7% saved)
11 alts after pruning (8 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 301 | 7 | 1 308 |
| Fresh | 1 | 1 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 304 | 11 | 1 315 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 37.7% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x)) |
| ▶ | 48.0% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) |
| ✓ | 51.3% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
| ✓ | 50.5% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
| ▶ | 53.1% | #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) |
| ▶ | 51.2% | #s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) y)) |
| 50.4% | #s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)) | |
| 12.2% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y)))) | |
| ▶ | 37.5% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (fma.f64 x (-.f64 (*.f64 y y) y) x))) |
| 15.3% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y))) | |
| ✓ | 40.7% | #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
Compiled 170 to 91 computations (46.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) y)) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) y) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 y y) y) |
| ✓ | cost-diff | 0 | (fma.f64 x (-.f64 (*.f64 y y) y) x) |
| ✓ | cost-diff | 0 | #s(approx (/ x (+ y 1)) (fma.f64 x (-.f64 (*.f64 y y) y) x)) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (fma.f64 x (-.f64 (*.f64 y y) y) x))) |
| ✓ | cost-diff | 0 | (neg.f64 x) |
| ✓ | cost-diff | 0 | #s(approx (- 1 x) (neg.f64 x)) |
| ✓ | cost-diff | 0 | (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x)) |
| ✓ | cost-diff | 0 | #s(approx (- 1 x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 x #s(literal -1 binary64)) y) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) |
| 1 824× | lower-fma.f32 |
| 1 818× | lower-fma.f64 |
| 792× | lower-*.f32 |
| 788× | lower-*.f64 |
| 448× | lower-+.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 188 |
| 0 | 44 | 188 |
| 1 | 65 | 184 |
| 2 | 84 | 184 |
| 3 | 161 | 184 |
| 4 | 286 | 184 |
| 5 | 425 | 184 |
| 6 | 756 | 184 |
| 7 | 1261 | 184 |
| 8 | 1603 | 184 |
| 9 | 2061 | 184 |
| 10 | 2317 | 184 |
| 11 | 2343 | 184 |
| 12 | 2359 | 184 |
| 13 | 2371 | 184 |
| 0 | 2371 | 184 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
#s(literal 1 binary64) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(+.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
y |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) |
(fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x) |
y |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x)) |
(fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x) |
y |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (fma.f64 x (-.f64 (*.f64 y y) y) x))) |
#s(approx (/ x (+ y 1)) (fma.f64 x (-.f64 (*.f64 y y) y) x)) |
(fma.f64 x (-.f64 (*.f64 y y) y) x) |
x |
(-.f64 (*.f64 y y) y) |
(*.f64 y y) |
y |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) y) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) y) |
y |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
#s(literal 1 binary64) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(+.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
y |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) |
(fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x) |
y |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x)) |
(fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x) |
y |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (fma.f64 x (-.f64 (*.f64 y y) y) x))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (fma.f64 y (-.f64 (*.f64 x y) x) x))) |
#s(approx (/ x (+ y 1)) (fma.f64 x (-.f64 (*.f64 y y) y) x)) |
#s(approx (/ x (+ y 1)) (fma.f64 y (-.f64 (*.f64 x y) x) x)) |
(fma.f64 x (-.f64 (*.f64 y y) y) x) |
(fma.f64 y (-.f64 (*.f64 x y) x) x) |
x |
(-.f64 (*.f64 y y) y) |
(*.f64 y y) |
y |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) y)) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) y) |
(/.f64 y (+.f64 y #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 y #s(literal 1 binary64)) |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) y) |
| ✓ | accuracy | 51.4% | #s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) y)) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 y y) y) |
| ✓ | accuracy | 95.2% | (fma.f64 x (-.f64 (*.f64 y y) y) x) |
| ✓ | accuracy | 50.5% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (fma.f64 x (-.f64 (*.f64 y y) y) x))) |
| ✓ | accuracy | 48.1% | #s(approx (/ x (+ y 1)) (fma.f64 x (-.f64 (*.f64 y y) y) x)) |
| ✓ | accuracy | 100.0% | (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 52.0% | #s(approx (- 1 x) (neg.f64 x)) |
| ✓ | accuracy | 47.9% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x)) |
| ✓ | accuracy | 100.0% | (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x) |
| ✓ | accuracy | 48.8% | #s(approx (- 1 x) #s(literal 1 binary64)) |
| ✓ | accuracy | 47.9% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 x #s(literal -1 binary64)) y) |
| ✓ | accuracy | 53.1% | #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) |
| 86.0ms | 256× | 0 | valid |
Compiled 124 to 24 computations (80.6% saved)
ival-div: 14.0ms (43.2% of total)ival-add: 8.0ms (24.7% of total)ival-mult: 6.0ms (18.5% of total)ival-sub: 2.0ms (6.2% of total)ival-neg: 1.0ms (3.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))> |
#<alt (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))> |
#<alt (/.f64 (+.f64 x #s(literal -1 binary64)) y)> |
#<alt (+.f64 x #s(literal -1 binary64))> |
#<alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))> |
#<alt (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)> |
#<alt #s(approx (- 1 x) #s(literal 1 binary64))> |
#<alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x))> |
#<alt (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x)> |
#<alt #s(approx (- 1 x) (neg.f64 x))> |
#<alt (neg.f64 x)> |
#<alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (fma.f64 x (-.f64 (*.f64 y y) y) x)))> |
#<alt #s(approx (/ x (+ y 1)) (fma.f64 x (-.f64 (*.f64 y y) y) x))> |
#<alt (fma.f64 x (-.f64 (*.f64 y y) y) x)> |
#<alt (-.f64 (*.f64 y y) y)> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) y)> |
#<alt #s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) y))> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))> |
#<alt (+.f64 #s(literal 1 binary64) y)> |
| Outputs |
|---|
#<alt (/ y (+ 1 y))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (/ x (+ 1 y))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (/ x (+ 1 y))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt x> |
#<alt (+ x (* y (- 1 x)))> |
#<alt (+ x (* y (- (+ 1 (* y (- x 1))) x)))> |
#<alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))> |
#<alt 1> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))> |
#<alt (- 1 (/ 1 y))> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (/ x y)> |
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))> |
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))> |
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))> |
#<alt (/ x y)> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- (+ x y) 1) y)> |
#<alt (/ (- (+ x y) 1) y)> |
#<alt (/ (- (+ x y) 1) y)> |
#<alt 1> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt 1> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (/ -1 y)> |
#<alt (- (/ x y) (/ 1 y))> |
#<alt (- (/ x y) (/ 1 y))> |
#<alt (- (/ x y) (/ 1 y))> |
#<alt (/ x y)> |
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))> |
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))> |
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))> |
#<alt (/ x y)> |
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))> |
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))> |
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt -1> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt x> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt x> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (/ y (+ 1 y))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (/ x (+ 1 y))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (/ x (+ 1 y))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt x> |
#<alt (+ x (* y (- 1 x)))> |
#<alt (+ x (* y (- (+ 1 (* y (- x 1))) x)))> |
#<alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))> |
#<alt 1> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))> |
#<alt x> |
#<alt (+ x (* y (- 1 x)))> |
#<alt (+ x (* y (- 1 x)))> |
#<alt (+ x (* y (- 1 x)))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- (+ 1 (/ x y)) x))> |
#<alt (* y (- (+ 1 (/ x y)) x))> |
#<alt (* y (- (+ 1 (/ x y)) x))> |
#<alt (* y (- 1 x))> |
#<alt (* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))> |
#<alt y> |
#<alt (+ y (* x (+ 1 (* -1 y))))> |
#<alt (+ y (* x (+ 1 (* -1 y))))> |
#<alt (+ y (* x (+ 1 (* -1 y))))> |
#<alt (* x (+ 1 (* -1 y)))> |
#<alt (* x (+ 1 (+ (* -1 y) (/ y x))))> |
#<alt (* x (+ 1 (+ (* -1 y) (/ y x))))> |
#<alt (* x (+ 1 (+ (* -1 y) (/ y x))))> |
#<alt (* -1 (* x (- y 1)))> |
#<alt (* -1 (* x (- (+ y (* -1 (/ y x))) 1)))> |
#<alt (* -1 (* x (- (+ y (* -1 (/ y x))) 1)))> |
#<alt (* -1 (* x (- (+ y (* -1 (/ y x))) 1)))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (/ y (+ 1 y))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (/ x (+ 1 y))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (/ x (+ 1 y))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt x> |
#<alt (+ x (* y (- 1 x)))> |
#<alt (+ x (* y (- (+ 1 (* y (- x 1))) x)))> |
#<alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))> |
#<alt 1> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))> |
#<alt x> |
#<alt (+ x (* y (- 1 x)))> |
#<alt (+ x (* y (- 1 x)))> |
#<alt (+ x (* y (- 1 x)))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- (+ 1 (/ x y)) x))> |
#<alt (* y (- (+ 1 (/ x y)) x))> |
#<alt (* y (- (+ 1 (/ x y)) x))> |
#<alt (* y (- 1 x))> |
#<alt (* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))> |
#<alt y> |
#<alt (+ y (* x (+ 1 (* -1 y))))> |
#<alt (+ y (* x (+ 1 (* -1 y))))> |
#<alt (+ y (* x (+ 1 (* -1 y))))> |
#<alt (* x (+ 1 (* -1 y)))> |
#<alt (* x (+ 1 (+ (* -1 y) (/ y x))))> |
#<alt (* x (+ 1 (+ (* -1 y) (/ y x))))> |
#<alt (* x (+ 1 (+ (* -1 y) (/ y x))))> |
#<alt (* -1 (* x (- y 1)))> |
#<alt (* -1 (* x (- (+ y (* -1 (/ y x))) 1)))> |
#<alt (* -1 (* x (- (+ y (* -1 (/ y x))) 1)))> |
#<alt (* -1 (* x (- (+ y (* -1 (/ y x))) 1)))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (/ y (+ 1 y))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (/ x (+ 1 y))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (/ x (+ 1 y))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt x> |
#<alt (+ x (* y (- 1 x)))> |
#<alt (+ x (* y (- (+ 1 (* y (- x 1))) x)))> |
#<alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))> |
#<alt 1> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt x> |
#<alt (+ x (* -1 (* x y)))> |
#<alt (+ x (* y (- (* x y) x)))> |
#<alt (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))> |
#<alt (/ x y)> |
#<alt (/ (+ x (* -1 (/ x y))) y)> |
#<alt (/ (- (+ x (/ x (pow y 2))) (/ x y)) y)> |
#<alt (/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)> |
#<alt (/ x y)> |
#<alt (* -1 (/ (+ (* -1 x) (/ x y)) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y))> |
#<alt (* x (- (+ 1 (pow y 2)) y))> |
#<alt (* x (- (+ 1 (pow y 2)) y))> |
#<alt (* x (- (+ 1 (pow y 2)) y))> |
#<alt (* x (- (+ 1 (pow y 2)) y))> |
#<alt (* x (- (+ 1 (pow y 2)) y))> |
#<alt (* x (- (+ 1 (pow y 2)) y))> |
#<alt (* x (- (+ 1 (pow y 2)) y))> |
#<alt (* x (- (+ 1 (pow y 2)) y))> |
#<alt (* -1 (* x (- (* -1 (- (pow y 2) y)) 1)))> |
#<alt (* -1 (* x (- (* -1 (- (pow y 2) y)) 1)))> |
#<alt (* -1 (* x (- (* -1 (- (pow y 2) y)) 1)))> |
#<alt (* -1 (* x (- (* -1 (- (pow y 2) y)) 1)))> |
#<alt x> |
#<alt (+ x (* -1 (* x y)))> |
#<alt (+ x (* y (+ (* -1 x) (* x y))))> |
#<alt (+ x (* y (+ (* -1 x) (* x y))))> |
#<alt (* x (pow y 2))> |
#<alt (* (pow y 2) (+ x (* -1 (/ x y))))> |
#<alt (* (pow y 2) (+ x (+ (* -1 (/ x y)) (/ x (pow y 2)))))> |
#<alt (* (pow y 2) (+ x (+ (* -1 (/ x y)) (/ x (pow y 2)))))> |
#<alt (* x (pow y 2))> |
#<alt (* (pow y 2) (+ x (* -1 (/ x y))))> |
#<alt (* (pow y 2) (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))))> |
#<alt (* (pow y 2) (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))))> |
#<alt (* -1 y)> |
#<alt (* y (- y 1))> |
#<alt (* y (- y 1))> |
#<alt (* y (- y 1))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (- 1 (/ 1 y)))> |
#<alt (* (pow y 2) (- 1 (/ 1 y)))> |
#<alt (* (pow y 2) (- 1 (/ 1 y)))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (- 1 (/ 1 y)))> |
#<alt (* (pow y 2) (- 1 (/ 1 y)))> |
#<alt (* (pow y 2) (- 1 (/ 1 y)))> |
#<alt y> |
#<alt (* y (+ 1 (* -1 y)))> |
#<alt (* y (+ 1 (* y (- y 1))))> |
#<alt (* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))> |
#<alt 1> |
#<alt (- 1 (/ 1 y))> |
#<alt (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))> |
#<alt (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))> |
#<alt 1> |
#<alt (- 1 (/ 1 y))> |
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))> |
#<alt (/ y (+ 1 y))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (/ x (+ 1 y))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (/ x (+ 1 y))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt x> |
#<alt (+ x (* y (- 1 x)))> |
#<alt (+ x (* y (- (+ 1 (* y (- x 1))) x)))> |
#<alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))> |
#<alt 1> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))> |
#<alt 1> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* y (- y 1)))> |
#<alt (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))> |
#<alt (/ 1 y)> |
#<alt (/ (- 1 (/ 1 y)) y)> |
#<alt (/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)> |
#<alt (/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y)> |
#<alt (/ 1 y)> |
#<alt (* -1 (/ (- (/ 1 y) 1) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y))> |
#<alt 1> |
#<alt (+ 1 y)> |
#<alt (+ 1 y)> |
#<alt (+ 1 y)> |
#<alt y> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt y> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
90 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (+ 1 (/ (+ x -1) y)) |
| 1.0ms | x | @ | inf | (+ (* x (- (* y y) y)) x) |
| 1.0ms | x | @ | 0 | (+ (* x (- (* y y) y)) x) |
| 1.0ms | x | @ | -inf | (+ (* x (- (* y y) y)) x) |
| 0.0ms | x | @ | 0 | (+ 1 (/ (+ x -1) y)) |
| 1× | egg-herbie |
| 12 666× | lower-fma.f64 |
| 12 666× | lower-fma.f32 |
| 3 068× | lower-*.f64 |
| 3 068× | lower-*.f32 |
| 2 794× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 212 | 2691 |
| 1 | 646 | 2599 |
| 2 | 1690 | 2529 |
| 3 | 5967 | 2529 |
| 0 | 8220 | 2441 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/ x (+ 1 y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
1 |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(/ (- x 1) y) |
(/ (- (+ x y) 1) y) |
(/ (- (+ x y) 1) y) |
(/ (- (+ x y) 1) y) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/ -1 y) |
(- (/ x y) (/ 1 y)) |
(- (/ x y) (/ 1 y)) |
(- (/ x y) (/ 1 y)) |
(/ x y) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/ x (+ 1 y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
1 |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- 1 x))) |
(+ x (* y (- 1 x))) |
(* y (- 1 x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- 1 x)) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
y |
(+ y (* x (+ 1 (* -1 y)))) |
(+ y (* x (+ 1 (* -1 y)))) |
(+ y (* x (+ 1 (* -1 y)))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/ x (+ 1 y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
1 |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- 1 x))) |
(+ x (* y (- 1 x))) |
(* y (- 1 x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- (+ 1 (/ x y)) x)) |
(* y (- 1 x)) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y))))) |
y |
(+ y (* x (+ 1 (* -1 y)))) |
(+ y (* x (+ 1 (* -1 y)))) |
(+ y (* x (+ 1 (* -1 y)))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/ x (+ 1 y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
1 |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
x |
(+ x (* -1 (* x y))) |
(+ x (* y (- (* x y) x))) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(/ x y) |
(/ (+ x (* -1 (/ x y))) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
(* x (- (+ 1 (pow y 2)) y)) |
(* x (- (+ 1 (pow y 2)) y)) |
(* x (- (+ 1 (pow y 2)) y)) |
(* x (- (+ 1 (pow y 2)) y)) |
(* x (- (+ 1 (pow y 2)) y)) |
(* x (- (+ 1 (pow y 2)) y)) |
(* x (- (+ 1 (pow y 2)) y)) |
(* x (- (+ 1 (pow y 2)) y)) |
(* -1 (* x (- (* -1 (- (pow y 2) y)) 1))) |
(* -1 (* x (- (* -1 (- (pow y 2) y)) 1))) |
(* -1 (* x (- (* -1 (- (pow y 2) y)) 1))) |
(* -1 (* x (- (* -1 (- (pow y 2) y)) 1))) |
x |
(+ x (* -1 (* x y))) |
(+ x (* y (+ (* -1 x) (* x y)))) |
(+ x (* y (+ (* -1 x) (* x y)))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* -1 (/ x y)))) |
(* (pow y 2) (+ x (+ (* -1 (/ x y)) (/ x (pow y 2))))) |
(* (pow y 2) (+ x (+ (* -1 (/ x y)) (/ x (pow y 2))))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* -1 (/ x y)))) |
(* (pow y 2) (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))) |
(* (pow y 2) (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))) |
(* -1 y) |
(* y (- y 1)) |
(* y (- y 1)) |
(* y (- y 1)) |
(pow y 2) |
(* (pow y 2) (- 1 (/ 1 y))) |
(* (pow y 2) (- 1 (/ 1 y))) |
(* (pow y 2) (- 1 (/ 1 y))) |
(pow y 2) |
(* (pow y 2) (- 1 (/ 1 y))) |
(* (pow y 2) (- 1 (/ 1 y))) |
(* (pow y 2) (- 1 (/ 1 y))) |
y |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
1 |
(- 1 (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
1 |
(- 1 (/ 1 y)) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/ x (+ 1 y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
1 |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* y (- y 1))) |
(+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))) |
(/ 1 y) |
(/ (- 1 (/ 1 y)) y) |
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y) |
(/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y) |
(/ 1 y) |
(* -1 (/ (- (/ 1 y) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y)) |
1 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
| Outputs |
|---|
(/ y (+ 1 y)) |
(/.f64 y (+.f64 y #s(literal 1 binary64))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
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(fma.f64 x (-.f64 (/.f64 y x) y) x) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(fma.f64 x (-.f64 (/.f64 y x) y) x) |
(* x (+ 1 (+ (* -1 y) (/ y x)))) |
(fma.f64 x (-.f64 (/.f64 y x) y) x) |
(* -1 (* x (- y 1))) |
(-.f64 x (*.f64 y x)) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(fma.f64 x (-.f64 (/.f64 y x) y) x) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(fma.f64 x (-.f64 (/.f64 y x) y) x) |
(* -1 (* x (- (+ y (* -1 (/ y x))) 1))) |
(fma.f64 x (-.f64 (/.f64 y x) y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ y (+ 1 y)) |
(/.f64 y (+.f64 y #s(literal 1 binary64))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 y (fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) x) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)) (/.f64 #s(literal -1 binary64) y))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y (*.f64 y y)))) (+.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (+.f64 x #s(literal -1 binary64))) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
x |
(+ x (* -1 (* x y))) |
(-.f64 x (*.f64 y x)) |
(+ x (* y (- (* x y) x))) |
(fma.f64 y (-.f64 (*.f64 y x) x) x) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(fma.f64 y (*.f64 x (-.f64 y (fma.f64 y y #s(literal 1 binary64)))) x) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1 (/ x y))) y) |
(/.f64 (-.f64 x (/.f64 x y)) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(/.f64 (-.f64 x (/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) y)) y) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(/.f64 (-.f64 x (/.f64 x y)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
(/.f64 (-.f64 x (/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) y)) y) |
(* x (- (+ 1 (pow y 2)) y)) |
(fma.f64 y (-.f64 (*.f64 y x) x) x) |
(* x (- (+ 1 (pow y 2)) y)) |
(fma.f64 y (-.f64 (*.f64 y x) x) x) |
(* x (- (+ 1 (pow y 2)) y)) |
(fma.f64 y (-.f64 (*.f64 y x) x) x) |
(* x (- (+ 1 (pow y 2)) y)) |
(fma.f64 y (-.f64 (*.f64 y x) x) x) |
(* x (- (+ 1 (pow y 2)) y)) |
(fma.f64 y (-.f64 (*.f64 y x) x) x) |
(* x (- (+ 1 (pow y 2)) y)) |
(fma.f64 y (-.f64 (*.f64 y x) x) x) |
(* x (- (+ 1 (pow y 2)) y)) |
(fma.f64 y (-.f64 (*.f64 y x) x) x) |
(* x (- (+ 1 (pow y 2)) y)) |
(fma.f64 y (-.f64 (*.f64 y x) x) x) |
(* -1 (* x (- (* -1 (- (pow y 2) y)) 1))) |
(fma.f64 y (-.f64 (*.f64 y x) x) x) |
(* -1 (* x (- (* -1 (- (pow y 2) y)) 1))) |
(fma.f64 y (-.f64 (*.f64 y x) x) x) |
(* -1 (* x (- (* -1 (- (pow y 2) y)) 1))) |
(fma.f64 y (-.f64 (*.f64 y x) x) x) |
(* -1 (* x (- (* -1 (- (pow y 2) y)) 1))) |
(fma.f64 y (-.f64 (*.f64 y x) x) x) |
x |
(+ x (* -1 (* x y))) |
(-.f64 x (*.f64 y x)) |
(+ x (* y (+ (* -1 x) (* x y)))) |
(fma.f64 y (-.f64 (*.f64 y x) x) x) |
(+ x (* y (+ (* -1 x) (* x y)))) |
(fma.f64 y (-.f64 (*.f64 y x) x) x) |
(* x (pow y 2)) |
(*.f64 y (*.f64 y x)) |
(* (pow y 2) (+ x (* -1 (/ x y)))) |
(*.f64 y (-.f64 (*.f64 y x) x)) |
(* (pow y 2) (+ x (+ (* -1 (/ x y)) (/ x (pow y 2))))) |
(fma.f64 y (-.f64 (*.f64 y x) x) x) |
(* (pow y 2) (+ x (+ (* -1 (/ x y)) (/ x (pow y 2))))) |
(fma.f64 y (-.f64 (*.f64 y x) x) x) |
(* x (pow y 2)) |
(*.f64 y (*.f64 y x)) |
(* (pow y 2) (+ x (* -1 (/ x y)))) |
(*.f64 y (-.f64 (*.f64 y x) x)) |
(* (pow y 2) (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))) |
(fma.f64 y (-.f64 (*.f64 y x) x) x) |
(* (pow y 2) (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))) |
(fma.f64 y (-.f64 (*.f64 y x) x) x) |
(* -1 y) |
(neg.f64 y) |
(* y (- y 1)) |
(-.f64 (*.f64 y y) y) |
(* y (- y 1)) |
(-.f64 (*.f64 y y) y) |
(* y (- y 1)) |
(-.f64 (*.f64 y y) y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (- 1 (/ 1 y))) |
(-.f64 (*.f64 y y) y) |
(* (pow y 2) (- 1 (/ 1 y))) |
(-.f64 (*.f64 y y) y) |
(* (pow y 2) (- 1 (/ 1 y))) |
(-.f64 (*.f64 y y) y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (- 1 (/ 1 y))) |
(-.f64 (*.f64 y y) y) |
(* (pow y 2) (- 1 (/ 1 y))) |
(-.f64 (*.f64 y y) y) |
(* (pow y 2) (- 1 (/ 1 y))) |
(-.f64 (*.f64 y y) y) |
y |
(* y (+ 1 (* -1 y))) |
(-.f64 y (*.f64 y y)) |
(* y (+ 1 (* y (- y 1)))) |
(fma.f64 y (-.f64 (*.f64 y y) y) y) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
(fma.f64 (*.f64 y y) (-.f64 y (fma.f64 y y #s(literal 1 binary64))) y) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y)) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y)) |
(/ y (+ 1 y)) |
(/.f64 y (+.f64 y #s(literal 1 binary64))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 y (fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) x) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)) (/.f64 #s(literal -1 binary64) y))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y (*.f64 y y)))) (+.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (+.f64 x #s(literal -1 binary64))) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (- y 1))) |
(-.f64 (fma.f64 y y #s(literal 1 binary64)) y) |
(+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))) |
(fma.f64 y (-.f64 y (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (- 1 (/ 1 y)) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) |
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y) |
(/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y)) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(* -1 (/ (- (/ 1 y) 1) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) |
(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
| 1× | batch-egg-rewrite |
| 5 082× | lower-/.f32 |
| 5 078× | lower-/.f64 |
| 4 492× | lower-fma.f32 |
| 4 486× | lower-fma.f64 |
| 4 140× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 172 |
| 0 | 44 | 172 |
| 1 | 193 | 168 |
| 2 | 1471 | 168 |
| 0 | 8573 | 168 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(+.f64 x #s(literal -1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) |
(fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x)) |
(fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (fma.f64 x (-.f64 (*.f64 y y) y) x))) |
#s(approx (/ x (+ y 1)) (fma.f64 x (-.f64 (*.f64 y y) y) x)) |
(fma.f64 x (-.f64 (*.f64 y y) y) x) |
(-.f64 (*.f64 y y) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) y) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) y)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64)) |
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) y)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 y (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 y (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y)))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(/.f64 (-.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (fma.f64 (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 x (neg.f64 y))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 y)) (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (neg.f64 y))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (+.f64 x #s(literal -1 binary64)) (neg.f64 y))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (neg.f64 y)) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (neg.f64 y))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (neg.f64 y))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) y) (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (*.f64 y (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 y (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) y)) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (*.f64 y (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) y))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (+.f64 x #s(literal 1 binary64)))) |
(pow.f64 (/.f64 y (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (+.f64 x #s(literal -1 binary64)))))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y)) #s(literal -1 binary64)) |
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 y #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))))) |
(pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(*.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) y)))) |
Compiled 13 204 to 1 400 computations (89.4% saved)
12 alts after pruning (5 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 796 | 3 | 799 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 798 | 12 | 810 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 37.7% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x)) |
| ✓ | 48.0% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) |
| ✓ | 51.3% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
| ✓ | 50.5% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
| ▶ | 53.3% | #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) |
| ✓ | 51.2% | #s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) y)) |
| ▶ | 50.4% | #s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)) |
| ▶ | 12.2% | #s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) y)) |
| ▶ | 13.1% | #s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) y)) |
| ✓ | 37.5% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (fma.f64 x (-.f64 (*.f64 y y) y) x))) |
| ▶ | 15.3% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y))) |
| ✓ | 40.7% | #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
Compiled 143 to 78 computations (45.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 0 | #s(approx (/ x (+ y 1)) (/.f64 x y)) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 0 | (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) y) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) y)) |
| ✓ | cost-diff | 0 | #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) y) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) y)) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ x -1) y) (/.f64 x y)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) |
| 576× | lower-fma.f64 |
| 576× | lower-fma.f32 |
| 384× | lower-*.f32 |
| 378× | lower-*.f64 |
| 214× | div-sub |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 188 |
| 0 | 38 | 186 |
| 1 | 52 | 184 |
| 2 | 59 | 184 |
| 3 | 74 | 184 |
| 4 | 85 | 184 |
| 5 | 96 | 184 |
| 6 | 106 | 184 |
| 7 | 134 | 184 |
| 8 | 169 | 184 |
| 9 | 210 | 184 |
| 10 | 289 | 184 |
| 11 | 450 | 184 |
| 12 | 626 | 184 |
| 13 | 1034 | 184 |
| 14 | 1405 | 184 |
| 15 | 1476 | 184 |
| 16 | 1506 | 184 |
| 17 | 1594 | 184 |
| 18 | 1600 | 184 |
| 19 | 1602 | 184 |
| 0 | 1602 | 184 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) |
(+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) |
#s(literal 1 binary64) |
#s(approx (/ (+ x -1) y) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) y) |
#s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) y)) |
(*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) y) |
#s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y))) |
#s(approx (/ x (+ y 1)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) y) |
y |
x |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) |
(+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) |
#s(literal 1 binary64) |
#s(approx (/ (+ x -1) y) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) y)) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 y #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) y) |
(*.f64 y #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64))) |
#s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) y)) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 y #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) y) |
(*.f64 y #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y))) |
#s(approx (/ x (+ y 1)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 y #s(literal 1 binary64)) |
y |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x) |
| ✓ | accuracy | 50.5% | #s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)) |
| ✓ | accuracy | 100.0% | (/.f64 x y) |
| ✓ | accuracy | 53.3% | #s(approx (/ x (+ y 1)) (/.f64 x y)) |
| ✓ | accuracy | 50.5% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 99.8% | (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) y) |
| ✓ | accuracy | 51.4% | #s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) y)) |
| ✓ | accuracy | 47.6% | #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 99.8% | (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) y) |
| ✓ | accuracy | 51.4% | #s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) y)) |
| ✓ | accuracy | 48.4% | #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 x y) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) |
| ✓ | accuracy | 53.1% | #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) |
| ✓ | accuracy | 52.4% | #s(approx (/ (+ x -1) y) (/.f64 x y)) |
| 76.0ms | 256× | 0 | valid |
Compiled 114 to 19 computations (83.3% saved)
ival-div: 8.0ms (41.8% of total)ival-add: 6.0ms (31.4% of total)ival-mult: 3.0ms (15.7% of total)ival-sub: 1.0ms (5.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))> |
#<alt (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))> |
#<alt #s(approx (/ (+ x -1) y) (/.f64 x y))> |
#<alt (/.f64 x y)> |
#<alt #s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) y))> |
#<alt (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) y)> |
#<alt #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64))> |
#<alt #s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) y))> |
#<alt (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) y)> |
#<alt #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y))> |
#<alt (-.f64 #s(literal 1 binary64) y)> |
#<alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y)))> |
#<alt #s(approx (/ x (+ y 1)) (/.f64 x y))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)> |
#<alt #s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x))> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))> |
#<alt (+.f64 #s(literal 1 binary64) y)> |
| Outputs |
|---|
#<alt (/ y (+ 1 y))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (/ x (+ 1 y))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (/ x (+ 1 y))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt x> |
#<alt (+ x (* y (- 1 x)))> |
#<alt (+ x (* y (- (+ 1 (* y (- x 1))) x)))> |
#<alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))> |
#<alt 1> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))> |
#<alt (- 1 (/ 1 y))> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (/ x y)> |
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))> |
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))> |
#<alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))> |
#<alt (/ x y)> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- (+ x y) 1) y)> |
#<alt (/ (- (+ x y) 1) y)> |
#<alt (/ (- (+ x y) 1) y)> |
#<alt 1> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt 1> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (/ -1 y)> |
#<alt (- (/ x y) (/ 1 y))> |
#<alt (- (/ x y) (/ 1 y))> |
#<alt (- (/ x y) (/ 1 y))> |
#<alt (/ x y)> |
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))> |
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))> |
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))> |
#<alt (/ x y)> |
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))> |
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))> |
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ y (+ 1 y))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (/ x (+ 1 y))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (/ x (+ 1 y))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt x> |
#<alt (+ x (* y (- 1 x)))> |
#<alt (+ x (* y (- (+ 1 (* y (- x 1))) x)))> |
#<alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))> |
#<alt 1> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))> |
#<alt y> |
#<alt (* y (+ 1 (* -1 y)))> |
#<alt (* y (+ 1 (* y (- y 1))))> |
#<alt (* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))> |
#<alt 1> |
#<alt (- 1 (/ 1 y))> |
#<alt (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))> |
#<alt (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))> |
#<alt 1> |
#<alt (- 1 (/ 1 y))> |
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))> |
#<alt 1> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* y (- y 1)))> |
#<alt (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))> |
#<alt (/ 1 y)> |
#<alt (/ (- 1 (/ 1 y)) y)> |
#<alt (/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)> |
#<alt (/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y)> |
#<alt (/ 1 y)> |
#<alt (* -1 (/ (- (/ 1 y) 1) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y))> |
#<alt (/ y (+ 1 y))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (/ x (+ 1 y))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (/ x (+ 1 y))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt x> |
#<alt (+ x (* y (- 1 x)))> |
#<alt (+ x (* y (- (+ 1 (* y (- x 1))) x)))> |
#<alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))> |
#<alt 1> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))> |
#<alt y> |
#<alt (* y (+ 1 (* -1 y)))> |
#<alt (* y (+ 1 (* y (- y 1))))> |
#<alt (* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))> |
#<alt 1> |
#<alt (- 1 (/ 1 y))> |
#<alt (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))> |
#<alt (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))> |
#<alt 1> |
#<alt (- 1 (/ 1 y))> |
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))> |
#<alt 1> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* y (- y 1)))> |
#<alt (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))> |
#<alt (/ 1 y)> |
#<alt (/ (- 1 (/ 1 y)) y)> |
#<alt (/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)> |
#<alt (/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y)> |
#<alt (/ 1 y)> |
#<alt (* -1 (/ (- (/ 1 y) 1) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y))> |
#<alt 1> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ 1 y) 1))> |
#<alt (* y (- (/ 1 y) 1))> |
#<alt (* y (- (/ 1 y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (- 1 (/ 1 y))))> |
#<alt (* -1 (* y (- 1 (/ 1 y))))> |
#<alt (* -1 (* y (- 1 (/ 1 y))))> |
#<alt (/ y (+ 1 y))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (/ x (+ 1 y))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (/ x (+ 1 y))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt x> |
#<alt (+ x (* y (- 1 x)))> |
#<alt (+ x (* y (- (+ 1 (* y (- x 1))) x)))> |
#<alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))> |
#<alt 1> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt x> |
#<alt (+ x (* -1 (* x y)))> |
#<alt (+ x (* y (- (* x y) x)))> |
#<alt (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))> |
#<alt (/ x y)> |
#<alt (/ (+ x (* -1 (/ x y))) y)> |
#<alt (/ (- (+ x (/ x (pow y 2))) (/ x y)) y)> |
#<alt (/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)> |
#<alt (/ x y)> |
#<alt (* -1 (/ (+ (* -1 x) (/ x y)) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y))> |
#<alt x> |
#<alt (+ x (* -1 (* x y)))> |
#<alt (+ x (* y (- (* x y) x)))> |
#<alt (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))> |
#<alt (/ x y)> |
#<alt (/ (+ x (* -1 (/ x y))) y)> |
#<alt (/ (- (+ x (/ x (pow y 2))) (/ x y)) y)> |
#<alt (/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)> |
#<alt (/ x y)> |
#<alt (* -1 (/ (+ (* -1 x) (/ x y)) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ x (+ 1 y))> |
#<alt (/ y (+ 1 y))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))> |
#<alt (/ x (+ 1 y))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))> |
#<alt (/ x (+ 1 y))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))> |
#<alt x> |
#<alt (+ x (* y (- 1 x)))> |
#<alt (+ x (* y (- (+ 1 (* y (- x 1))) x)))> |
#<alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))> |
#<alt 1> |
#<alt (- (+ 1 (/ x y)) (/ 1 y))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))> |
#<alt 1> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* y (- y 1)))> |
#<alt (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))> |
#<alt (/ 1 y)> |
#<alt (/ (- 1 (/ 1 y)) y)> |
#<alt (/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)> |
#<alt (/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y)> |
#<alt (/ 1 y)> |
#<alt (* -1 (/ (- (/ 1 y) 1) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y))> |
#<alt 1> |
#<alt (+ 1 y)> |
#<alt (+ 1 y)> |
#<alt (+ 1 y)> |
#<alt y> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt y> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | (/ x y) |
| 0.0ms | x | @ | -inf | (/ x y) |
| 0.0ms | y | @ | -inf | (/ x y) |
| 0.0ms | x | @ | inf | (/ x y) |
| 0.0ms | x | @ | 0 | (/ x y) |
| 1× | egg-herbie |
| 17 672× | lower-fma.f64 |
| 17 672× | lower-fma.f32 |
| 3 352× | lower-+.f64 |
| 3 352× | lower-+.f32 |
| 3 332× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 170 | 2623 |
| 1 | 497 | 2498 |
| 2 | 1218 | 2402 |
| 3 | 4508 | 2238 |
| 0 | 8384 | 2189 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/ x (+ 1 y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
1 |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(/ (- x 1) y) |
(/ (- (+ x y) 1) y) |
(/ (- (+ x y) 1) y) |
(/ (- (+ x y) 1) y) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/ -1 y) |
(- (/ x y) (/ 1 y)) |
(- (/ x y) (/ 1 y)) |
(- (/ x y) (/ 1 y)) |
(/ x y) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/ x (+ 1 y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
1 |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
y |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
1 |
(- 1 (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
1 |
(- 1 (/ 1 y)) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* y (- y 1))) |
(+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))) |
(/ 1 y) |
(/ (- 1 (/ 1 y)) y) |
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y) |
(/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y) |
(/ 1 y) |
(* -1 (/ (- (/ 1 y) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y)) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/ x (+ 1 y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
1 |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
y |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
1 |
(- 1 (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
1 |
(- 1 (/ 1 y)) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* y (- y 1))) |
(+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))) |
(/ 1 y) |
(/ (- 1 (/ 1 y)) y) |
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y) |
(/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y) |
(/ 1 y) |
(* -1 (/ (- (/ 1 y) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y)) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/ x (+ 1 y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
1 |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
x |
(+ x (* -1 (* x y))) |
(+ x (* y (- (* x y) x))) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(/ x y) |
(/ (+ x (* -1 (/ x y))) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
x |
(+ x (* -1 (* x y))) |
(+ x (* y (- (* x y) x))) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(/ x y) |
(/ (+ x (* -1 (/ x y))) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ y (+ 1 y)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(/ x (+ 1 y)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(/ x (+ 1 y)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
x |
(+ x (* y (- 1 x))) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
1 |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* y (- y 1))) |
(+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))) |
(/ 1 y) |
(/ (- 1 (/ 1 y)) y) |
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y) |
(/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y) |
(/ 1 y) |
(* -1 (/ (- (/ 1 y) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y)) |
1 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
| Outputs |
|---|
(/ y (+ 1 y)) |
(/.f64 y (+.f64 y #s(literal 1 binary64))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x)) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (-.f64 (*.f64 y x) y) (+.f64 y #s(literal -1 binary64)) x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 y (fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) x) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (*.f64 y y)))) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) y)) |
(- 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(/ x y) |
(/.f64 x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- (+ x y) 1) y) |
(/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y) |
(/ (- (+ x y) 1) y) |
(/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y) |
(/ (- (+ x y) 1) y) |
(/.f64 (+.f64 y (+.f64 x #s(literal -1 binary64))) y) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(- (/ x y) (/ 1 y)) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(- (/ x y) (/ 1 y)) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(- (/ x y) (/ 1 y)) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ x y) |
(/.f64 x y) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ y (+ 1 y)) |
(/.f64 y (+.f64 y #s(literal 1 binary64))) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x)) |
(+ (/ x (+ 1 y)) (/ y (+ 1 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x)) |
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 y #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x)) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (-.f64 (*.f64 y x) y) (+.f64 y #s(literal -1 binary64)) x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 y (fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) x) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (*.f64 y y)))) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
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(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x)) |
x |
(+ x (* y (- 1 x))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x) |
(+ x (* y (- (+ 1 (* y (- x 1))) x))) |
(fma.f64 (-.f64 (*.f64 y x) y) (+.f64 y #s(literal -1 binary64)) x) |
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) |
(fma.f64 y (fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) x) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (*.f64 y y)))) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (- y 1))) |
(-.f64 (fma.f64 y y #s(literal 1 binary64)) y) |
(+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (- 1 (/ 1 y)) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) |
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y) |
(/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(* -1 (/ (- (/ 1 y) 1) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) |
(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y)) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) y) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
(* y (+ 1 (/ 1 y))) |
(+.f64 y #s(literal 1 binary64)) |
| 1× | batch-egg-rewrite |
| 4 664× | lower-*.f32 |
| 4 658× | lower-*.f64 |
| 4 616× | lower-/.f32 |
| 4 612× | lower-/.f64 |
| 3 896× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 173 |
| 0 | 38 | 169 |
| 1 | 141 | 169 |
| 2 | 891 | 169 |
| 0 | 8818 | 169 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) |
(+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) |
#s(approx (/ (+ x -1) y) (/.f64 x y)) |
(/.f64 x y) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) y) |
#s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) y)) |
(*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) y) |
#s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y))) |
#s(approx (/ x (+ y 1)) (/.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) |
(+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) |
(+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (neg.f64 (/.f64 (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (/.f64 (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))) |
(-.f64 (/.f64 (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (neg.f64 (/.f64 (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))))) |
(fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(neg.f64 (/.f64 (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) #s(literal 1 binary64))) (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))))) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(approx (/ (+ x -1) y) (/.f64 x y))) (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal -1 binary64)) (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))))) |
(/.f64 (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) #s(literal 1 binary64)) (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(approx (/ (+ x -1) y) (/.f64 x y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) |
(/.f64 (neg.f64 (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64)) #s(approx (/ (+ x -1) y) (/.f64 x y))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))))) (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))) |
(/.f64 (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal -1 binary64)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))))) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (-.f64 (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y)))) #s(literal 1 binary64)))) (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y)))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))))) (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y)))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y)))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))))) |
(/.f64 (neg.f64 (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (fma.f64 (/.f64 (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (/.f64 (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (/.f64 (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))) (*.f64 (/.f64 (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (/.f64 (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (/.f64 (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))))) |
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(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
Compiled 15 430 to 1 574 computations (89.8% saved)
14 alts after pruning (2 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 894 | 2 | 896 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 7 | 7 |
| Total | 894 | 14 | 908 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 37.7% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x)) |
| ✓ | 48.0% | #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) |
| ✓ | 51.3% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
| ✓ | 50.5% | #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
| ✓ | 53.3% | #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) |
| ✓ | 51.2% | #s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) y)) |
| ✓ | 50.4% | #s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)) |
| ✓ | 12.2% | #s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) y)) |
| 2.4% | #s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(approx (- 1 y) (neg.f64 y))) y)) | |
| ✓ | 13.1% | #s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) y)) |
| 37.9% | #s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) x)) | |
| ✓ | 37.5% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (fma.f64 x (-.f64 (*.f64 y y) y) x))) |
| ✓ | 15.3% | #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y))) |
| ✓ | 40.7% | #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
Compiled 257 to 102 computations (60.3% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) y)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(approx (- 1 y) (neg.f64 y))) y)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y)))) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) y)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (fma.f64 x (-.f64 (*.f64 y y) y) x))) |
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 (*.f64 y x) y) (+.f64 y #s(literal -1 binary64)) x)) |
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
3 calls:
| 73.0ms | y |
| 7.0ms | x |
| 6.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) y)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(approx (- 1 y) (neg.f64 y))) y)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y)))) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) y)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (fma.f64 x (-.f64 (*.f64 y y) y) x))) |
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 (*.f64 y x) y) (+.f64 y #s(literal -1 binary64)) x)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 (*.f64 y x) y) (+.f64 y #s(literal -1 binary64)) x)) |
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) |
3 calls:
| 17.0ms | y |
| 6.0ms | x |
| 5.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.3% | 3 | x |
| 98.8% | 3 | y |
| 98.7% | 4 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) y)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(approx (- 1 y) (neg.f64 y))) y)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y)))) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) y)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (fma.f64 x (-.f64 (*.f64 y y) y) x))) |
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) |
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) |
1 calls:
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) y)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(approx (- 1 y) (neg.f64 y))) y)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y)))) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) y)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (fma.f64 x (-.f64 (*.f64 y y) y) x))) |
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) |
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) |
1 calls:
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) y)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(approx (- 1 y) (neg.f64 y))) y)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y)))) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) y)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y))) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (fma.f64 x (-.f64 (*.f64 y y) y) x))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y))) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
2 calls:
| 6.0ms | y |
| 4.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.5% | 3 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 87.5% | 4 | y |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) y)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(approx (- 1 y) (neg.f64 y))) y)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y)))) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) y)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
1 calls:
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.7% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) y)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(approx (- 1 y) (neg.f64 y))) y)) |
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y)))) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) y)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
1 calls:
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.5% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) y)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
2 calls:
| 30.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.9% | 3 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 75.0% | 3 | y |
Compiled 12 to 8 computations (33.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
3 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.7% | 1 | x |
| 40.7% | 1 | (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 40.7% | 1 | y |
Compiled 15 to 10 computations (33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 41.0ms | 1.09485317729539e-8 | 1.9630569459622815 |
| 11.0ms | -40353.135367253664 | -0.09098967810997924 |
| 41.0ms | 288× | 0 | valid |
Compiled 462 to 299 computations (35.3% saved)
ival-add: 3.0ms (56.4% of total)ival-div: 2.0ms (37.6% of total)ival-true: 0.0ms (0% of total)exact: 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 | 1.09485317729539e-8 | 1.9630569459622815 |
| 1.0ms | -40353.135367253664 | -0.09098967810997924 |
Compiled 390 to 263 computations (32.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 1.09485317729539e-8 | 1.9630569459622815 |
| 1.0ms | -40353.135367253664 | -0.09098967810997924 |
| 2.0ms | 48× | 0 | valid |
Compiled 372 to 227 computations (39% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.09485317729539e-8 | 1.9630569459622815 |
| 1.0ms | -40353.135367253664 | -0.09098967810997924 |
| 17.0ms | -4.487661809299846e+50 | -2.5465505156082865e+49 |
| 13.0ms | 112× | 0 | valid |
Compiled 400 to 247 computations (38.3% saved)
ival-div: 1.0ms (47.1% of total)ival-add: 1.0ms (47.1% of total)ival-true: 0.0ms (0% of total)exact: 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 | 1.09485317729539e-8 | 1.9630569459622815 |
| 1.0ms | -40353.135367253664 | -0.09098967810997924 |
Compiled 282 to 191 computations (32.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 1.09485317729539e-8 | 1.9630569459622815 |
| 1.0ms | -40353.135367253664 | -0.09098967810997924 |
| 2.0ms | 64× | 0 | valid |
Compiled 264 to 173 computations (34.5% saved)
ival-add: 1.0ms (90% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 1.09485317729539e-8 | 1.9630569459622815 |
| 1.0ms | -40353.135367253664 | -0.09098967810997924 |
| 2.0ms | 48× | 0 | valid |
Compiled 246 to 173 computations (29.7% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 20× | +-commutative_binary64 |
| 8× | *-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 370 |
| 1 | 80 | 370 |
| 2 | 86 | 370 |
| 3 | 90 | 370 |
| 4 | 92 | 370 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 (*.f64 y x) y) (+.f64 y #s(literal -1 binary64)) x)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (if (<=.f64 y #s(literal 7385903388887613/9007199254740992 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))))) |
(if (<=.f64 y #s(literal -38499999999999999822083273699479919150263716282368 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 8782019273372467/4503599627370496 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 5/4 binary64)) #s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) x)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 (*.f64 y x) y) (+.f64 y #s(literal -1 binary64)) x)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 (*.f64 x y) y) (+.f64 y #s(literal -1 binary64)) x)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (if (<=.f64 y #s(literal 7385903388887613/9007199254740992 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))))) |
(if (<=.f64 y #s(literal -38499999999999999822083273699479919150263716282368 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 8782019273372467/4503599627370496 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 5/4 binary64)) #s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) x)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 5/4 binary64)) #s(approx (/ (+ x y) (+ y 1)) (*.f64 x #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)))) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)))) |
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) |
| 17 672× | lower-fma.f64 |
| 17 672× | lower-fma.f32 |
| 12 666× | lower-fma.f64 |
| 12 666× | lower-fma.f32 |
| 12 130× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 88 |
| 0 | 26 | 86 |
| 1 | 103 | 86 |
| 2 | 778 | 86 |
| 0 | 8441 | 86 |
| 0 | 170 | 2623 |
| 1 | 497 | 2498 |
| 2 | 1218 | 2402 |
| 3 | 4508 | 2238 |
| 0 | 8384 | 2189 |
| 0 | 181 | 2019 |
| 1 | 555 | 1964 |
| 2 | 1380 | 1848 |
| 3 | 4770 | 1798 |
| 0 | 8285 | 1736 |
| 0 | 212 | 2691 |
| 1 | 646 | 2599 |
| 2 | 1690 | 2529 |
| 3 | 5967 | 2529 |
| 0 | 8220 | 2441 |
| 0 | 88 | 362 |
| 1 | 263 | 358 |
| 2 | 670 | 338 |
| 3 | 2440 | 308 |
| 0 | 8253 | 300 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node 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 |
| 1× | iter limit |
Compiled 311 to 134 computations (56.9% saved)
Compiled 394 to 100 computations (74.6% saved)
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