
Time bar (total: 9.5s)
| 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 13 to 10 computations (23.1% saved)
| 535.0ms | 6 253× | 0 | valid |
| 242.0ms | 1 696× | 1 | valid |
| 56.0ms | 307× | 2 | valid |
ival-sub: 174.0ms (33.6% of total)ival-mult: 109.0ms (21.1% of total)ival-add: 102.0ms (19.7% of total)ival-div: 74.0ms (14.3% of total)adjust: 46.0ms (8.9% of total)ival-true: 6.0ms (1.2% of total)exact: 5.0ms (1% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 65 | 55 | (4.581990064315403e+80 -2.0063889463265108e+177) | 64 | (-1.3094191312271222e-182 7.954428329717718e+21) | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 31 | 0 | - | 0 | - | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (+.f64 y #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 #s(literal 1 binary64) x) y) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) | oflow-right | 56 | 0 |
/.f64 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) | o/n | 31 | 0 |
| ↳ | (*.f64 (-.f64 #s(literal 1 binary64) x) y) | overflow | 31 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 32 | 64 |
| - | 24 | 136 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 32 | 0 | 64 |
| - | 24 | 0 | 136 |
| number | freq |
|---|---|
| 0 | 200 |
| 1 | 25 |
| 2 | 31 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 68.0ms | 386× | 0 | valid |
| 13.0ms | 110× | 1 | valid |
| 3.0ms | 16× | 2 | valid |
Compiled 121 to 52 computations (57% saved)
ival-sub: 21.0ms (58.3% of total)ival-div: 4.0ms (11.1% of total)ival-mult: 4.0ms (11.1% of total)adjust: 3.0ms (8.3% of total)ival-add: 3.0ms (8.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 090× | times-frac |
| 928× | lower-fma.f64 |
| 928× | lower-fma.f32 |
| 882× | div-sub |
| 614× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 61 |
| 1 | 58 | 57 |
| 2 | 180 | 55 |
| 3 | 539 | 55 |
| 4 | 1584 | 55 |
| 5 | 3893 | 55 |
| 6 | 4625 | 55 |
| 7 | 4956 | 55 |
| 8 | 4960 | 55 |
| 9 | 4960 | 55 |
| 10 | 5176 | 55 |
| 11 | 5272 | 55 |
| 12 | 5272 | 55 |
| 13 | 5272 | 55 |
| 0 | 8 | 11 |
| 0 | 13 | 11 |
| 1 | 23 | 11 |
| 2 | 48 | 11 |
| 3 | 120 | 11 |
| 4 | 361 | 11 |
| 5 | 901 | 11 |
| 6 | 1739 | 11 |
| 7 | 1941 | 11 |
| 8 | 1965 | 11 |
| 0 | 1965 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
Compiled 13 to 8 computations (38.5% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 65.0% | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
Compiled 13 to 8 computations (38.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 928× | lower-fma.f64 |
| 928× | lower-fma.f32 |
| 416× | lower-*.f32 |
| 414× | lower-*.f64 |
| 308× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 34 |
| 0 | 13 | 34 |
| 1 | 23 | 34 |
| 2 | 48 | 34 |
| 3 | 120 | 34 |
| 4 | 361 | 34 |
| 5 | 901 | 34 |
| 6 | 1739 | 34 |
| 7 | 1941 | 34 |
| 8 | 1965 | 34 |
| 0 | 1965 | 33 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
x |
y |
(+.f64 y #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
x |
y |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| accuracy | 7.295818156132398 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) | |
| accuracy | 15.121185819812334 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 60.0ms | 193× | 0 | valid |
| 6.0ms | 55× | 1 | valid |
| 1.0ms | 8× | 2 | valid |
Compiled 36 to 10 computations (72.2% saved)
ival-sub: 52.0ms (87.6% of total)ival-div: 2.0ms (3.4% of total)ival-mult: 2.0ms (3.4% of total)adjust: 1.0ms (1.7% of total)ival-add: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))> |
#<alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))> |
#<alt (*.f64 (-.f64 #s(literal 1 binary64) x) y)> |
#<alt (-.f64 #s(literal 1 binary64) x)> |
#<alt (+.f64 y #s(literal 1 binary64))> |
| Outputs |
|---|
#<alt (- 1 (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt 1> |
#<alt (+ 1 (* y (- x 1)))> |
#<alt (+ 1 (* y (- (+ x (* y (- 1 x))) 1)))> |
#<alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))> |
#<alt x> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))> |
#<alt (- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))> |
#<alt x> |
#<alt (+ x (* -1 (/ (- x 1) y)))> |
#<alt (+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))> |
#<alt (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))> |
#<alt (/ y (+ 1 y))> |
#<alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (* -1 (/ (* x y) (+ 1 y)))> |
#<alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))> |
#<alt (* -1 (/ (* x y) (+ 1 y)))> |
#<alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- (+ 1 (* y (- x 1))) x))> |
#<alt (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))> |
#<alt (* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x))> |
#<alt (- 1 x)> |
#<alt (- (+ 1 (/ x y)) (+ x (/ 1 y)))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2)))))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))))> |
#<alt (- 1 x)> |
#<alt (- (+ 1 (/ x y)) (+ x (/ 1 y)))> |
#<alt (- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x)> |
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x)> |
#<alt y> |
#<alt (+ y (* -1 (* x y)))> |
#<alt (+ y (* -1 (* x y)))> |
#<alt (+ y (* -1 (* x y)))> |
#<alt (* -1 (* x y))> |
#<alt (* x (+ (* -1 y) (/ y x)))> |
#<alt (* x (+ (* -1 y) (/ y x)))> |
#<alt (* x (+ (* -1 y) (/ y x)))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x (+ y (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ y (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ y (* -1 (/ y x)))))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<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> |
#<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)))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | x | @ | -inf | (- 1 (/ (* (- 1 x) y) (+ y 1))) |
| 1.0ms | y | @ | inf | (* (- 1 x) y) |
| 1.0ms | x | @ | inf | (- 1 (/ (* (- 1 x) y) (+ y 1))) |
| 1.0ms | x | @ | 0 | (- 1 (/ (* (- 1 x) y) (+ y 1))) |
| 1.0ms | y | @ | 0 | (- 1 (/ (* (- 1 x) y) (+ y 1))) |
| 1× | egg-herbie |
| 13 336× | lower-fma.f64 |
| 13 336× | lower-fma.f32 |
| 3 556× | lower-+.f64 |
| 3 556× | lower-+.f32 |
| 2 780× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 823 |
| 1 | 400 | 799 |
| 2 | 1127 | 684 |
| 3 | 4566 | 669 |
| 0 | 8319 | 648 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(/ y (+ 1 y)) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(* -1 (/ (* x y) (+ 1 y))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(* -1 (/ (* x y) (+ 1 y))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(* y (- 1 x)) |
(* y (- (+ 1 (* y (- x 1))) x)) |
(* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)) |
(* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x)) |
(- 1 x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2))))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))) |
(- 1 x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x) |
(- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x) |
y |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ (* -1 y) (/ y x))) |
(* -1 (* x y)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
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 |
(+ 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 |
|---|
(- 1 (/ y (+ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- x 1))) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (*.f64 y x) y) (+.f64 y #s(literal -1 binary64)) x)) #s(literal 1 binary64)) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
(+.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) (/.f64 x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) y)) |
(/ y (+ 1 y)) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (/ (* x y) (+ 1 y))) |
(*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (/ (* x y) (+ 1 y))) |
(*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- (+ 1 (* y (- x 1))) x)) |
(*.f64 (-.f64 (*.f64 y x) y) (+.f64 y #s(literal -1 binary64))) |
(* 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))) (neg.f64 x)) y) |
(* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x)) |
(fma.f64 y (fma.f64 y (fma.f64 (-.f64 (*.f64 y x) y) (+.f64 y #s(literal -1 binary64)) x) (-.f64 (neg.f64 y) x)) y) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2))))) |
(-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))) |
(+.f64 (+.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x) (neg.f64 y))) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 1 binary64) x)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) |
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x) |
(-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) |
(- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x) |
(*.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64))) |
y |
(+ y (* -1 (* x y))) |
(-.f64 y (*.f64 y x)) |
(+ y (* -1 (* x y))) |
(-.f64 y (*.f64 y x)) |
(+ y (* -1 (* x y))) |
(-.f64 y (*.f64 y x)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* x (+ (* -1 y) (/ y x))) |
(-.f64 y (*.f64 y x)) |
(* x (+ (* -1 y) (/ y x))) |
(-.f64 y (*.f64 y x)) |
(* x (+ (* -1 y) (/ y x))) |
(-.f64 y (*.f64 y x)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(-.f64 y (*.f64 y x)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(-.f64 y (*.f64 y x)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 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 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
| 6 332× | lower-fma.f64 |
| 6 332× | lower-fma.f32 |
| 4 782× | lower-*.f32 |
| 4 780× | lower-*.f64 |
| 3 674× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 31 |
| 0 | 13 | 31 |
| 1 | 63 | 31 |
| 2 | 533 | 31 |
| 0 | 8517 | 30 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 y #s(literal 1 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)))) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (fma.f64 y (neg.f64 x) y) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (neg.f64 x) y)))) (*.f64 (fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (neg.f64 x) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 y (neg.f64 x) y) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (neg.f64 x) y)))) (*.f64 (fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (/.f64 (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (neg.f64 x) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (fma.f64 y (neg.f64 x) y) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (neg.f64 x) y)))) (*.f64 (fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (neg.f64 x) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 y (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y (neg.f64 x) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 y (-.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (fma.f64 y (neg.f64 x) y) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.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)))) #s(literal 1 binary64))) (fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (neg.f64 x) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
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(fma.f64 y (/.f64 y (+.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(neg.f64 (-.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) |
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (neg.f64 (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) |
(/.f64 (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 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(/.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))) (neg.f64 (-.f64 (fma.f64 y y #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 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (-.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y 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 (fma.f64 y (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64)))) |
(/.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 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (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 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) (fma.f64 y (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.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 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (fma.f64 y y #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(*.f64 (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 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) 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 (fma.f64 y y #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 #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 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) |
(*.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (fma.f64 y (*.f64 y 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 (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 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y))))) |
(*.f64 (/.f64 (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 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
Compiled 13 697 to 1 626 computations (88.1% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 550 | 14 | 564 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 551 | 14 | 565 |
| Status | Accuracy | Program |
|---|---|---|
| 65.0% | (fma.f64 (fma.f64 y (neg.f64 x) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) | |
| ▶ | 76.4% | (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| ▶ | 76.3% | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))) |
| 36.9% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) | |
| 28.6% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) | |
| 73.8% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))) | |
| 52.2% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) | |
| 48.5% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| 48.6% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| 52.0% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) (/.f64 x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) | |
| 52.2% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) y))) | |
| ▶ | 52.1% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
| ▶ | 54.1% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
| ▶ | 36.2% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
Compiled 364 to 220 computations (39.6% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) y) y) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))) | |
| cost-diff | 384 | (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (/.f64 y (+.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| cost-diff | 0 | (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) | |
| cost-diff | 0 | (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| 1 424× | lower-fma.f32 |
| 1 422× | lower-fma.f64 |
| 822× | times-frac |
| 608× | lower-*.f32 |
| 606× | lower-*.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 149 |
| 0 | 37 | 148 |
| 1 | 71 | 148 |
| 2 | 129 | 145 |
| 3 | 260 | 145 |
| 4 | 702 | 145 |
| 5 | 1859 | 145 |
| 6 | 3024 | 145 |
| 7 | 3257 | 145 |
| 8 | 3340 | 145 |
| 9 | 3346 | 145 |
| 10 | 3346 | 145 |
| 0 | 3346 | 145 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
y |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
x |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
y |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
y |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
x |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) |
(-.f64 #s(literal 1 binary64) x) |
x |
(/.f64 (+.f64 #s(literal 1 binary64) y) y) |
(+.f64 #s(literal 1 binary64) y) |
y |
| Outputs |
|---|
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
y |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
x |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
y |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(/.f64 y (+.f64 y #s(literal 1 binary64))) |
y |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) |
(/.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
x |
(/.f64 (+.f64 #s(literal 1 binary64) y) y) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 y #s(literal 1 binary64)) |
y |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.01171875 | (/.f64 (+.f64 #s(literal 1 binary64) y) y) | |
| accuracy | 0.30774986387648073 | (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) | |
| accuracy | 15.121185819812334 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.00390625 | (/.f64 y (+.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.01953125 | (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) | |
| accuracy | 29.386331833256783 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| accuracy | 0.00390625 | (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) | |
| accuracy | 30.67840427970132 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) | |
| accuracy | 40.82461223205074 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0 | (-.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.01953125 | (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) | |
| accuracy | 15.078020825739578 | (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| 69.0ms | 55× | 1 | valid |
| 59.0ms | 193× | 0 | valid |
| 4.0ms | 8× | 2 | valid |
Compiled 134 to 23 computations (82.8% saved)
ival-div: 11.0ms (30.2% of total)adjust: 8.0ms (22% of total)ival-sub: 6.0ms (16.5% of total)ival-mult: 6.0ms (16.5% of total)ival-add: 5.0ms (13.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))> |
#<alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y))> |
#<alt (-.f64 #s(literal 1 binary64) x)> |
#<alt (-.f64 #s(literal -1 binary64) y)> |
#<alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))> |
#<alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))> |
#<alt (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))> |
#<alt (/.f64 (-.f64 #s(literal 1 binary64) x) y)> |
#<alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x))> |
#<alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)> |
#<alt (/.f64 y (+.f64 #s(literal 1 binary64) y))> |
#<alt (+.f64 #s(literal 1 binary64) y)> |
#<alt (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))> |
#<alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))> |
#<alt (/.f64 (+.f64 #s(literal 1 binary64) y) y)> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* -1 (* y (- 1 x))))> |
#<alt (+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x)))))> |
#<alt (+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1)))))))> |
#<alt (+ 1 (* -1 (- 1 x)))> |
#<alt (+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))))> |
#<alt (+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y)))))> |
#<alt (+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3)))))))> |
#<alt (+ 1 (* -1 (- 1 x)))> |
#<alt (- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y))> |
#<alt (+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))))> |
#<alt (+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y))))> |
#<alt (+ 1 (* -1 (/ y (+ 1 y))))> |
#<alt (+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))))> |
#<alt (+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))))> |
#<alt (+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))> |
#<alt (* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))> |
#<alt (* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x)))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x)))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x)))))> |
#<alt (/ -1 (+ 1 y))> |
#<alt (- (/ x (+ 1 y)) (/ 1 (+ 1 y)))> |
#<alt (- (/ x (+ 1 y)) (/ 1 (+ 1 y)))> |
#<alt (- (/ x (+ 1 y)) (/ 1 (+ 1 y)))> |
#<alt (/ x (+ 1 y))> |
#<alt (* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y)))))> |
#<alt (* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y)))))> |
#<alt (* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y)))))> |
#<alt (/ x (+ 1 y))> |
#<alt (* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (- 1 x))> |
#<alt (+ (* -1 (* y (- x 1))) (* -1 (- 1 x)))> |
#<alt (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1)))))> |
#<alt (+ (* -1 (- 1 x)) (* y (+ (* -1 (- x 1)) (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x)))))))> |
#<alt (* -1 (/ (- 1 x) y))> |
#<alt (/ (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))) y)> |
#<alt (/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y)))) y)> |
#<alt (/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3)))))) y)> |
#<alt (* -1 (/ (- 1 x) y))> |
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- 1 x) y))) x) y))> |
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y))) x) y))> |
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y)) (* -1 (- 1 x))) y))) x) y))> |
#<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> |
#<alt (- (* -1 y) 1)> |
#<alt (- (* -1 y) 1)> |
#<alt (- (* -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 (* -1 y)> |
#<alt (* -1 (* y (+ 1 (/ 1 y))))> |
#<alt (* -1 (* y (+ 1 (/ 1 y))))> |
#<alt (* -1 (* y (+ 1 (/ 1 y))))> |
#<alt (- 1 (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt 1> |
#<alt (+ 1 (* y (- x 1)))> |
#<alt (+ 1 (* y (- (+ x (* y (- 1 x))) 1)))> |
#<alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))> |
#<alt x> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))> |
#<alt (- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))> |
#<alt x> |
#<alt (+ x (* -1 (/ (- x 1) y)))> |
#<alt (+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))> |
#<alt (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))> |
#<alt (- 1 (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt 1> |
#<alt (+ 1 (* y (- x 1)))> |
#<alt (+ 1 (* y (- (+ x (* y (- 1 x))) 1)))> |
#<alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))> |
#<alt x> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))> |
#<alt (- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))> |
#<alt x> |
#<alt (+ x (* -1 (/ (- x 1) y)))> |
#<alt (+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))> |
#<alt (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))> |
#<alt (/ 1 y)> |
#<alt (+ (* x (- 1 (/ 1 y))) (/ 1 y))> |
#<alt (+ (* x (- 1 (/ 1 y))) (/ 1 y))> |
#<alt (+ (* x (- 1 (/ 1 y))) (/ 1 y))> |
#<alt (* x (- 1 (/ 1 y)))> |
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ 1 y)))> |
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ 1 y)))> |
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ 1 y)))> |
#<alt (* -1 (* x (- (/ 1 y) 1)))> |
#<alt (* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))> |
#<alt (* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))> |
#<alt (* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- (+ 1 (* x y)) x) y)> |
#<alt (/ (- (+ 1 (* x y)) x) y)> |
#<alt (/ (- (+ 1 (* x y)) x) y)> |
#<alt x> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt x> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (/ 1 y)> |
#<alt (+ (* -1 (/ x y)) (/ 1 y))> |
#<alt (+ (* -1 (/ x y)) (/ 1 y))> |
#<alt (+ (* -1 (/ x y)) (/ 1 y))> |
#<alt (* -1 (/ x y))> |
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))> |
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))> |
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))> |
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))> |
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (- 1 (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt 1> |
#<alt (+ 1 (* y (- x 1)))> |
#<alt (+ 1 (* y (- (+ x (* y (- 1 x))) 1)))> |
#<alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))> |
#<alt x> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))> |
#<alt (- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))> |
#<alt x> |
#<alt (+ x (* -1 (/ (- x 1) y)))> |
#<alt (+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))> |
#<alt (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1 (* x y))))> |
#<alt (* y (+ x (* y (- (* x y) x))))> |
#<alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))> |
#<alt x> |
#<alt (+ x (* -1 (/ x y)))> |
#<alt (- (+ x (/ x (pow y 2))) (/ x y))> |
#<alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))> |
#<alt x> |
#<alt (+ x (* -1 (/ x y)))> |
#<alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))> |
#<alt (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 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 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 (+ 1 y))> |
#<alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (* -1 (/ (* x y) (+ 1 y)))> |
#<alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))> |
#<alt (* -1 (/ (* x y) (+ 1 y)))> |
#<alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- (+ 1 (* y (- x 1))) x))> |
#<alt (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))> |
#<alt (* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x))> |
#<alt (- 1 x)> |
#<alt (- (+ 1 (/ x y)) (+ x (/ 1 y)))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2)))))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))))> |
#<alt (- 1 x)> |
#<alt (- (+ 1 (/ x y)) (+ x (/ 1 y)))> |
#<alt (- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x)> |
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x)> |
#<alt (- 1 (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt 1> |
#<alt (+ 1 (* y (- x 1)))> |
#<alt (+ 1 (* y (- (+ x (* y (- 1 x))) 1)))> |
#<alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))> |
#<alt x> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))> |
#<alt (- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))> |
#<alt x> |
#<alt (+ x (* -1 (/ (- x 1) y)))> |
#<alt (+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))> |
#<alt (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))> |
#<alt (/ 1 y)> |
#<alt (/ (+ 1 y) y)> |
#<alt (/ (+ 1 y) y)> |
#<alt (/ (+ 1 y) y)> |
#<alt 1> |
#<alt (+ 1 (/ 1 y))> |
#<alt (+ 1 (/ 1 y))> |
#<alt (+ 1 (/ 1 y))> |
#<alt 1> |
#<alt (+ 1 (/ 1 y))> |
#<alt (+ 1 (/ 1 y))> |
#<alt (+ 1 (/ 1 y))> |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | x | @ | -inf | (/ (- 1 x) (/ (+ 1 y) y)) |
| 1.0ms | x | @ | inf | (+ x (/ (- 1 x) y)) |
| 1.0ms | x | @ | inf | (* (/ y (+ 1 y)) x) |
| 0.0ms | x | @ | 0 | (* (/ y (+ 1 y)) x) |
| 0.0ms | x | @ | 0 | (/ (- 1 x) (- -1 y)) |
| 1× | egg-herbie |
| 19 120× | lower-fma.f64 |
| 19 120× | lower-fma.f32 |
| 5 636× | lower-+.f64 |
| 5 636× | lower-+.f32 |
| 4 006× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 274 | 3437 |
| 1 | 867 | 3021 |
| 2 | 2593 | 2660 |
| 0 | 8322 | 2548 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))))) |
(+ 1 (* -1 (- 1 x))) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y)))) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y))))) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3))))))) |
(+ 1 (* -1 (- 1 x))) |
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y)))) |
(+ 1 (* -1 (/ y (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(/ (* x y) (+ 1 y)) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(/ -1 (+ 1 y)) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(/ x (+ 1 y)) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(/ x (+ 1 y)) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(* -1 (- 1 x)) |
(+ (* -1 (* y (- x 1))) (* -1 (- 1 x))) |
(+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))) |
(+ (* -1 (- 1 x)) (* y (+ (* -1 (- x 1)) (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))))) |
(* -1 (/ (- 1 x) y)) |
(/ (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))) y) |
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y)))) y) |
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3)))))) y) |
(* -1 (/ (- 1 x) y)) |
(* -1 (/ (- (+ 1 (* -1 (/ (- 1 x) y))) x) y)) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y))) x) y)) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y)) (* -1 (- 1 x))) y))) x) y)) |
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 |
(- (* -1 y) 1) |
(- (* -1 y) 1) |
(- (* -1 y) 1) |
(* -1 y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(/ 1 y) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(* x (- 1 (/ 1 y))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(* -1 (* x (- (/ 1 y) 1))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(/ (- 1 x) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/ (- (+ 1 (* x y)) x) y) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (/ 1 y)) (/ x y)) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (/ 1 y)) (/ x y)) |
(/ 1 y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(* -1 (/ x y)) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* -1 (/ x y)) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* y (- (* x y) x)))) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
x |
(+ x (* -1 (/ x y))) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
x |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 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))) |
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 (+ 1 y)) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(* -1 (/ (* x y) (+ 1 y))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(* -1 (/ (* x y) (+ 1 y))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(* y (- 1 x)) |
(* y (- (+ 1 (* y (- x 1))) x)) |
(* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)) |
(* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x)) |
(- 1 x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2))))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))) |
(- 1 x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x) |
(- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x) |
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(/ 1 y) |
(/ (+ 1 y) y) |
(/ (+ 1 y) y) |
(/ (+ 1 y) y) |
1 |
(+ 1 (/ 1 y)) |
(+ 1 (/ 1 y)) |
(+ 1 (/ 1 y)) |
1 |
(+ 1 (/ 1 y)) |
(+ 1 (/ 1 y)) |
(+ 1 (/ 1 y)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))) |
(fma.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))))) |
(fma.f64 y (fma.f64 (*.f64 y (+.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal -1 binary64) y) x) (-.f64 #s(literal 1 binary64) y)) |
(+ 1 (* -1 (- 1 x))) |
x |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y)))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y))))) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) x)) y)) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3))))))) |
(-.f64 x (/.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 (- 1 x))) |
x |
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) x)) y)) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y)))) |
(-.f64 x (/.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 (+ 1 y)))) |
(+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(/ -1 (+ 1 y)) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))) |
(* -1 (- 1 x)) |
(+.f64 #s(literal -1 binary64) x) |
(+ (* -1 (* y (- x 1))) (* -1 (- 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) |
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(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) x)) y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
(+.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) y)) y) (+.f64 (/.f64 x y) (/.f64 x (*.f64 y (*.f64 y y)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) x)) y)) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(-.f64 x (/.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)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 y (-.f64 x (*.f64 y x))) |
(* y (+ x (* y (- (* x y) x)))) |
(*.f64 y (fma.f64 y (-.f64 (*.f64 y x) x) x)) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
(*.f64 y (fma.f64 y (-.f64 (*.f64 y (-.f64 x (*.f64 y x))) x) x)) |
x |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
(+.f64 x (-.f64 (*.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) (/.f64 x y))) |
x |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(-.f64 x (/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) y)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) 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) (fma.f64 y (-.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 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)) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(/ y (+ 1 y)) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(* -1 (/ (* x y) (+ 1 y))) |
(/.f64 (*.f64 y x) (-.f64 #s(literal -1 binary64) y)) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(*.f64 x (+.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (/.f64 y (fma.f64 y x x)))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(*.f64 x (+.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (/.f64 y (fma.f64 y x x)))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(*.f64 x (+.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (/.f64 y (fma.f64 y x x)))) |
(* -1 (/ (* x y) (+ 1 y))) |
(/.f64 (*.f64 y x) (-.f64 #s(literal -1 binary64) y)) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(*.f64 x (+.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (/.f64 y (fma.f64 y x x)))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(*.f64 x (+.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (/.f64 y (fma.f64 y x x)))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(*.f64 x (+.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (/.f64 y (fma.f64 y x x)))) |
(* y (- 1 x)) |
(fma.f64 y (neg.f64 x) y) |
(* y (- (+ 1 (* y (- x 1))) x)) |
(*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) |
(* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)) |
(*.f64 y (-.f64 (fma.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x)) |
(* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x)) |
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y (+.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal -1 binary64) y) x) (-.f64 (neg.f64 y) x)) y) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) x)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 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 x (/.f64 #s(literal 1 binary64) y)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 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 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)) (+.f64 x (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64))) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) x)) |
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x) |
(-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) x)) y))) |
(- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.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) x)) |
(- 1 (/ y (+ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- x 1))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(fma.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(fma.f64 y (fma.f64 (*.f64 y (+.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal -1 binary64) y) x) (-.f64 #s(literal 1 binary64) y)) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) x)) y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
(+.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) y)) y) (+.f64 (/.f64 x y) (/.f64 x (*.f64 y (*.f64 y y)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) x)) y)) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(-.f64 x (/.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 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 y) y) |
(/.f64 (+.f64 #s(literal 1 binary64) y) y) |
(/ (+ 1 y) y) |
(/.f64 (+.f64 #s(literal 1 binary64) y) y) |
(/ (+ 1 y) y) |
(/.f64 (+.f64 #s(literal 1 binary64) y) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(+ 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(+ 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #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 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(+ 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
| 7 256× | lower-fma.f32 |
| 7 254× | lower-fma.f64 |
| 5 390× | lower-/.f32 |
| 5 380× | lower-/.f64 |
| 3 728× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 126 |
| 0 | 37 | 125 |
| 1 | 186 | 122 |
| 2 | 1603 | 122 |
| 0 | 8415 | 122 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal -1 binary64) y) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))) |
(/.f64 (+.f64 #s(literal 1 binary64) y) y) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) y))) |
(+.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))) (fma.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (neg.f64 (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) y))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)))) |
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(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) y)) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) y)) (neg.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) y)) (neg.f64 (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) y)) (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) y) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) y) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) y) (-.f64 #s(literal 1 binary64) y)) |
(pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) y)) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (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 y (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 (*.f64 y y) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) y))) |
(*.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) y))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (-.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (pow.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) y) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) y)) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) y)) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) y)) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) |
Compiled 35 061 to 3 300 computations (90.6% saved)
22 alts after pruning (19 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 674 | 17 | 1 691 |
| Fresh | 7 | 2 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 683 | 22 | 1 705 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 65.0% | (fma.f64 (fma.f64 y (neg.f64 x) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| ✓ | 76.4% | (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| ▶ | 37.3% | (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| 48.6% | (fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) | |
| 36.9% | (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) | |
| 28.6% | (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) (-.f64 #s(literal 1 binary64) x))) | |
| 52.2% | #s(approx (- 1 (/ (- 1 x) (/ (+ 1 y) y))) (-.f64 x (/.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))) | |
| 52.2% | #s(approx (- 1 (/ (- 1 x) (/ (+ 1 y) y))) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) x)) y))) | |
| 54.0% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y))) | |
| 52.0% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) (/.f64 x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) | |
| 38.2% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 y (*.f64 y x)) (*.f64 y y)))) | |
| ✓ | 52.1% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
| ▶ | 52.4% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
| 46.4% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) y)) | |
| 14.2% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) | |
| 40.7% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 (fma.f64 y x (-.f64 #s(literal 1 binary64) x)) y))) | |
| ▶ | 13.6% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) |
| 41.0% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y)))) | |
| 14.2% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x))))) | |
| 14.9% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) | |
| ✓ | 36.2% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
| ▶ | 41.5% | #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
Compiled 474 to 265 computations (44.1% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) | |
| cost-diff | 0 | (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (fma.f64 y (neg.f64 x) y) | |
| cost-diff | 320 | (fma.f64 (fma.f64 y (neg.f64 x) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| 1 696× | lower-fma.f32 |
| 1 690× | lower-fma.f64 |
| 784× | lower-*.f64 |
| 784× | lower-*.f32 |
| 748× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 161 |
| 0 | 43 | 161 |
| 1 | 78 | 160 |
| 2 | 140 | 160 |
| 3 | 316 | 160 |
| 4 | 923 | 160 |
| 5 | 2143 | 160 |
| 6 | 2847 | 160 |
| 7 | 3071 | 160 |
| 8 | 3191 | 160 |
| 9 | 3206 | 160 |
| 10 | 3207 | 160 |
| 0 | 3207 | 156 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 y (neg.f64 x) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 y (neg.f64 x) y) |
y |
(neg.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) |
#s(literal 1 binary64) |
(-.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
x |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
(+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
x |
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
y |
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
| Outputs |
|---|
(fma.f64 (fma.f64 y (neg.f64 x) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 y (neg.f64 x) y) |
(-.f64 y (*.f64 y x)) |
y |
(neg.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) |
#s(literal 1 binary64) |
(-.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
x |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
(+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
x |
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
y |
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.01953125 | (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) | |
| accuracy | 15.078020825739578 | (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) | |
| accuracy | 30.814552479521677 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) | |
| accuracy | 0.00390625 | (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) | |
| accuracy | 30.67840427970132 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) | |
| accuracy | 30.814552479521677 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 30.67840427970132 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) | |
| accuracy | 39.764148267499095 | #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 37.42557639343758 | #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) | |
| accuracy | 0 | (-.f64 #s(literal -1 binary64) y) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.01953125 | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) | |
| accuracy | 22.3661342604145 | (fma.f64 (fma.f64 y (neg.f64 x) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| 28.0ms | 193× | 0 | valid |
| 17.0ms | 55× | 1 | valid |
| 4.0ms | 8× | 2 | valid |
Compiled 127 to 24 computations (81.1% saved)
ival-div: 9.0ms (27.1% of total)ival-mult: 8.0ms (24.1% of total)ival-add: 7.0ms (21.1% of total)adjust: 4.0ms (12% of total)ival-sub: 4.0ms (12% of total)ival-neg: 1.0ms (3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (fma.f64 y (neg.f64 x) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))> |
#<alt (fma.f64 y (neg.f64 x) y)> |
#<alt (neg.f64 x)> |
#<alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))> |
#<alt #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)> |
#<alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y)))> |
#<alt #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))> |
#<alt (/.f64 #s(literal 1 binary64) y)> |
#<alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))> |
#<alt (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))> |
#<alt (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)> |
#<alt #s(approx (- 1 x) #s(literal 1 binary64))> |
#<alt (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))> |
#<alt (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y))> |
#<alt (-.f64 #s(literal -1 binary64) y)> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* -1 (* y (+ 1 (* -1 x)))))> |
#<alt (+ 1 (* y (+ (* -1 (+ 1 (* -1 x))) (* y (+ 1 (* -1 x))))))> |
#<alt (+ 1 (* y (+ (* -1 (+ 1 (* -1 x))) (* y (+ 1 (+ (* -1 x) (* -1 (* y (+ 1 (* -1 x))))))))))> |
#<alt (+ 1 (* -1 (+ 1 (* -1 x))))> |
#<alt (+ 1 (+ (* -1 (+ 1 (* -1 x))) (+ (* -1 (/ x y)) (/ 1 y))))> |
#<alt (+ 1 (+ (* -1 (+ 1 (* -1 x))) (+ (* -1 (/ x y)) (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y)))))> |
#<alt (+ 1 (+ (* -1 (+ 1 (* -1 x))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))))))> |
#<alt x> |
#<alt (+ x (+ (* -1 (/ x y)) (/ 1 y)))> |
#<alt (+ x (* -1 (/ (- (+ (* -1 (/ x y)) (/ 1 y)) (+ 1 (* -1 x))) y)))> |
#<alt (+ x (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ x y)) (/ 1 y)) (+ 1 (* -1 x))) y)) (+ 1 (* -1 x))) y)))> |
#<alt (+ 1 (* -1 (/ y (+ 1 y))))> |
#<alt (+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))))> |
#<alt (+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))))> |
#<alt (+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))> |
#<alt (* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))> |
#<alt (* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x)))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x)))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x)))))> |
#<alt (* y (+ 1 (* -1 x)))> |
#<alt (* y (+ 1 (* -1 x)))> |
#<alt (* y (+ 1 (* -1 x)))> |
#<alt (* y (+ 1 (* -1 x)))> |
#<alt (* y (+ 1 (* -1 x)))> |
#<alt (* y (+ 1 (* -1 x)))> |
#<alt (* y (+ 1 (* -1 x)))> |
#<alt (* y (+ 1 (* -1 x)))> |
#<alt (* -1 (* y (- x 1)))> |
#<alt (* -1 (* y (- x 1)))> |
#<alt (* -1 (* y (- x 1)))> |
#<alt (* -1 (* y (- x 1)))> |
#<alt y> |
#<alt (+ y (* -1 (* x y)))> |
#<alt (+ y (* -1 (* x y)))> |
#<alt (+ y (* -1 (* x y)))> |
#<alt (* -1 (* x y))> |
#<alt (* x (+ (* -1 y) (/ y x)))> |
#<alt (* x (+ (* -1 y) (/ y x)))> |
#<alt (* x (+ (* -1 y) (/ y x)))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x (+ y (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ y (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ y (* -1 (/ y 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 -1> |
#<alt (- y 1)> |
#<alt (- (* y (+ 1 (* -1 y))) 1)> |
#<alt (- (* y (+ 1 (* y (- y 1)))) 1)> |
#<alt (/ -1 y)> |
#<alt (/ (- (/ 1 y) 1) y)> |
#<alt (/ (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))) y)> |
#<alt (/ (- (+ (/ 1 y) (/ 1 (pow y 3))) (+ 1 (/ 1 (pow y 2)))) y)> |
#<alt (/ -1 y)> |
#<alt (* -1 (/ (- 1 (/ 1 y)) y))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) y))> |
#<alt 1> |
#<alt (+ 1 (* -1 (* y (- 1 x))))> |
#<alt (+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x)))))> |
#<alt (+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1)))))))> |
#<alt (+ 1 (* -1 (- 1 x)))> |
#<alt (+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))))> |
#<alt (+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y)))))> |
#<alt (+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3)))))))> |
#<alt (+ 1 (* -1 (- 1 x)))> |
#<alt (- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y))> |
#<alt (+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))))> |
#<alt (+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y))))> |
#<alt (+ 1 (* -1 (/ y (+ 1 y))))> |
#<alt (+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))))> |
#<alt (+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))))> |
#<alt (+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))> |
#<alt (* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))> |
#<alt (* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x)))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x)))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x)))))> |
#<alt (- 1 (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt 1> |
#<alt (+ 1 (* y (- x 1)))> |
#<alt (+ 1 (* y (- (+ x (* y (- 1 x))) 1)))> |
#<alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))> |
#<alt x> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))> |
#<alt (- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))> |
#<alt x> |
#<alt (+ x (* -1 (/ (- x 1) y)))> |
#<alt (+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))> |
#<alt (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))> |
#<alt (/ 1 y)> |
#<alt (+ (* x (- 1 (/ 1 y))) (/ 1 y))> |
#<alt (+ (* x (- 1 (/ 1 y))) (/ 1 y))> |
#<alt (+ (* x (- 1 (/ 1 y))) (/ 1 y))> |
#<alt (* x (- 1 (/ 1 y)))> |
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ 1 y)))> |
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ 1 y)))> |
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ 1 y)))> |
#<alt (* -1 (* x (- (/ 1 y) 1)))> |
#<alt (* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))> |
#<alt (* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))> |
#<alt (* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- (+ 1 (* x y)) x) y)> |
#<alt (/ (- (+ 1 (* x y)) x) y)> |
#<alt (/ (- (+ 1 (* x y)) x) y)> |
#<alt x> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt x> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (- 1 (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt 1> |
#<alt (+ 1 (* y (- x 1)))> |
#<alt (+ 1 (* y (- (+ x (* y (- 1 x))) 1)))> |
#<alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))> |
#<alt x> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))> |
#<alt (- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))> |
#<alt x> |
#<alt (+ x (* -1 (/ (- x 1) y)))> |
#<alt (+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))> |
#<alt (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))> |
#<alt (/ 1 y)> |
#<alt (+ (* x (- 1 (/ 1 y))) (/ 1 y))> |
#<alt (+ (* x (- 1 (/ 1 y))) (/ 1 y))> |
#<alt (+ (* x (- 1 (/ 1 y))) (/ 1 y))> |
#<alt (* x (- 1 (/ 1 y)))> |
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ 1 y)))> |
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ 1 y)))> |
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ 1 y)))> |
#<alt (* -1 (* x (- (/ 1 y) 1)))> |
#<alt (* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))> |
#<alt (* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))> |
#<alt (* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- (+ 1 (* x y)) x) y)> |
#<alt (/ (- (+ 1 (* x y)) x) y)> |
#<alt (/ (- (+ 1 (* x y)) x) y)> |
#<alt x> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt x> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (/ 1 y)> |
#<alt (+ (* -1 (/ x y)) (/ 1 y))> |
#<alt (+ (* -1 (/ x y)) (/ 1 y))> |
#<alt (+ (* -1 (/ x y)) (/ 1 y))> |
#<alt (* -1 (/ x y))> |
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))> |
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))> |
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))> |
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))> |
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<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> |
#<alt (+ 1 (* -1 (* y (- 1 x))))> |
#<alt (+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x)))))> |
#<alt (+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1)))))))> |
#<alt (+ 1 (* -1 (- 1 x)))> |
#<alt (+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))))> |
#<alt (+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y)))))> |
#<alt (+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3)))))))> |
#<alt (+ 1 (* -1 (- 1 x)))> |
#<alt (- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y))> |
#<alt (+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))))> |
#<alt (+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y))))> |
#<alt (+ 1 (* -1 (/ y (+ 1 y))))> |
#<alt (+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))))> |
#<alt (+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))))> |
#<alt (+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))> |
#<alt (* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))> |
#<alt (* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x)))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x)))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x)))))> |
#<alt (/ -1 (+ 1 y))> |
#<alt (- (/ x (+ 1 y)) (/ 1 (+ 1 y)))> |
#<alt (- (/ x (+ 1 y)) (/ 1 (+ 1 y)))> |
#<alt (- (/ x (+ 1 y)) (/ 1 (+ 1 y)))> |
#<alt (/ x (+ 1 y))> |
#<alt (* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y)))))> |
#<alt (* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y)))))> |
#<alt (* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y)))))> |
#<alt (/ x (+ 1 y))> |
#<alt (* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (- 1 x))> |
#<alt (+ (* -1 (* y (- x 1))) (* -1 (- 1 x)))> |
#<alt (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1)))))> |
#<alt (+ (* -1 (- 1 x)) (* y (+ (* -1 (- x 1)) (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x)))))))> |
#<alt (* -1 (/ (- 1 x) y))> |
#<alt (/ (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))) y)> |
#<alt (/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y)))) y)> |
#<alt (/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3)))))) y)> |
#<alt (* -1 (/ (- 1 x) y))> |
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- 1 x) y))) x) y))> |
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y))) x) y))> |
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y)) (* -1 (- 1 x))) y))) x) y))> |
#<alt -1> |
#<alt (- (* -1 y) 1)> |
#<alt (- (* -1 y) 1)> |
#<alt (- (* -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 (* -1 y)> |
#<alt (* -1 (* y (+ 1 (/ 1 y))))> |
#<alt (* -1 (* y (+ 1 (/ 1 y))))> |
#<alt (* -1 (* y (+ 1 (/ 1 y))))> |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+ (* (+ (* y (neg x)) y) (/ 1 (- -1 y))) 1) |
| 0.0ms | y | @ | inf | (+ (* y (neg x)) y) |
| 0.0ms | y | @ | 0 | (+ (* y (neg x)) y) |
| 0.0ms | x | @ | 0 | (+ (* (+ (* y (neg x)) y) (/ 1 (- -1 y))) 1) |
| 0.0ms | y | @ | 0 | (+ (* (+ (* y (neg x)) y) (/ 1 (- -1 y))) 1) |
| 1× | egg-herbie |
| 20 952× | lower-fma.f64 |
| 20 952× | lower-fma.f32 |
| 4 354× | lower-+.f64 |
| 4 354× | lower-+.f32 |
| 3 614× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 261 | 3171 |
| 1 | 886 | 2574 |
| 2 | 2701 | 2319 |
| 0 | 8475 | 2201 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1 (* y (+ 1 (* -1 x))))) |
(+ 1 (* y (+ (* -1 (+ 1 (* -1 x))) (* y (+ 1 (* -1 x)))))) |
(+ 1 (* y (+ (* -1 (+ 1 (* -1 x))) (* y (+ 1 (+ (* -1 x) (* -1 (* y (+ 1 (* -1 x)))))))))) |
(+ 1 (* -1 (+ 1 (* -1 x)))) |
(+ 1 (+ (* -1 (+ 1 (* -1 x))) (+ (* -1 (/ x y)) (/ 1 y)))) |
(+ 1 (+ (* -1 (+ 1 (* -1 x))) (+ (* -1 (/ x y)) (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))))) |
(+ 1 (+ (* -1 (+ 1 (* -1 x))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))))))) |
x |
(+ x (+ (* -1 (/ x y)) (/ 1 y))) |
(+ x (* -1 (/ (- (+ (* -1 (/ x y)) (/ 1 y)) (+ 1 (* -1 x))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ x y)) (/ 1 y)) (+ 1 (* -1 x))) y)) (+ 1 (* -1 x))) y))) |
(+ 1 (* -1 (/ y (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(/ (* x y) (+ 1 y)) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* y (+ 1 (* -1 x))) |
(* y (+ 1 (* -1 x))) |
(* y (+ 1 (* -1 x))) |
(* y (+ 1 (* -1 x))) |
(* y (+ 1 (* -1 x))) |
(* y (+ 1 (* -1 x))) |
(* y (+ 1 (* -1 x))) |
(* y (+ 1 (* -1 x))) |
(* -1 (* y (- x 1))) |
(* -1 (* y (- x 1))) |
(* -1 (* y (- x 1))) |
(* -1 (* y (- x 1))) |
y |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ (* -1 y) (/ y x))) |
(* -1 (* x y)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (+ y (* -1 (/ y 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) |
-1 |
(- y 1) |
(- (* y (+ 1 (* -1 y))) 1) |
(- (* y (+ 1 (* y (- y 1)))) 1) |
(/ -1 y) |
(/ (- (/ 1 y) 1) y) |
(/ (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))) y) |
(/ (- (+ (/ 1 y) (/ 1 (pow y 3))) (+ 1 (/ 1 (pow y 2)))) y) |
(/ -1 y) |
(* -1 (/ (- 1 (/ 1 y)) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) y)) |
1 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))))) |
(+ 1 (* -1 (- 1 x))) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y)))) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y))))) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3))))))) |
(+ 1 (* -1 (- 1 x))) |
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y)))) |
(+ 1 (* -1 (/ y (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(/ (* x y) (+ 1 y)) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(/ 1 y) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(* x (- 1 (/ 1 y))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(* -1 (* x (- (/ 1 y) 1))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(/ (- 1 x) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/ (- (+ 1 (* x y)) x) y) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (/ 1 y)) (/ x y)) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (/ 1 y)) (/ x y)) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(/ 1 y) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(* x (- 1 (/ 1 y))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(* -1 (* x (- (/ 1 y) 1))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(/ (- 1 x) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/ (- (+ 1 (* x y)) x) y) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (/ 1 y)) (/ x y)) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (/ 1 y)) (/ x y)) |
(/ 1 y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(* -1 (/ x y)) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* -1 (/ x y)) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
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 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))))) |
(+ 1 (* -1 (- 1 x))) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y)))) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y))))) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3))))))) |
(+ 1 (* -1 (- 1 x))) |
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y)))) |
(+ 1 (* -1 (/ y (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(/ (* x y) (+ 1 y)) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(/ -1 (+ 1 y)) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(/ x (+ 1 y)) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(/ x (+ 1 y)) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(* -1 (- 1 x)) |
(+ (* -1 (* y (- x 1))) (* -1 (- 1 x))) |
(+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))) |
(+ (* -1 (- 1 x)) (* y (+ (* -1 (- x 1)) (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))))) |
(* -1 (/ (- 1 x) y)) |
(/ (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))) y) |
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y)))) y) |
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3)))))) y) |
(* -1 (/ (- 1 x) y)) |
(* -1 (/ (- (+ 1 (* -1 (/ (- 1 x) y))) x) y)) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y))) x) y)) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y)) (* -1 (- 1 x))) y))) x) y)) |
-1 |
(- (* -1 y) 1) |
(- (* -1 y) 1) |
(- (* -1 y) 1) |
(* -1 y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (+ 1 (* -1 x))) (* y (+ 1 (* -1 x)))))) |
(fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (+ 1 (* -1 x))) (* y (+ 1 (+ (* -1 x) (* -1 (* y (+ 1 (* -1 x)))))))))) |
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(+ 1 (* -1 (+ 1 (* -1 x)))) |
x |
(+ 1 (+ (* -1 (+ 1 (* -1 x))) (+ (* -1 (/ x y)) (/ 1 y)))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (+ 1 (* -1 x))) (+ (* -1 (/ x y)) (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x) |
(+ 1 (+ (* -1 (+ 1 (* -1 x))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))))))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)) y)) |
x |
(+ x (+ (* -1 (/ x y)) (/ 1 y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ x (* -1 (/ (- (+ (* -1 (/ x y)) (/ 1 y)) (+ 1 (* -1 x))) y))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x) |
(+ x (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ x y)) (/ 1 y)) (+ 1 (* -1 x))) y)) (+ 1 (* -1 x))) y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)) y)) |
(+ 1 (* -1 (/ y (+ 1 y)))) |
(+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(* y (+ 1 (* -1 x))) |
(-.f64 y (*.f64 y x)) |
(* y (+ 1 (* -1 x))) |
(-.f64 y (*.f64 y x)) |
(* y (+ 1 (* -1 x))) |
(-.f64 y (*.f64 y x)) |
(* y (+ 1 (* -1 x))) |
(-.f64 y (*.f64 y x)) |
(* y (+ 1 (* -1 x))) |
(-.f64 y (*.f64 y x)) |
(* y (+ 1 (* -1 x))) |
(-.f64 y (*.f64 y x)) |
(* y (+ 1 (* -1 x))) |
(-.f64 y (*.f64 y x)) |
(* y (+ 1 (* -1 x))) |
(-.f64 y (*.f64 y x)) |
(* -1 (* y (- x 1))) |
(-.f64 y (*.f64 y x)) |
(* -1 (* y (- x 1))) |
(-.f64 y (*.f64 y x)) |
(* -1 (* y (- x 1))) |
(-.f64 y (*.f64 y x)) |
(* -1 (* y (- x 1))) |
(-.f64 y (*.f64 y x)) |
y |
(+ y (* -1 (* x y))) |
(-.f64 y (*.f64 y x)) |
(+ y (* -1 (* x y))) |
(-.f64 y (*.f64 y x)) |
(+ y (* -1 (* x y))) |
(-.f64 y (*.f64 y x)) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* x (+ (* -1 y) (/ y x))) |
(-.f64 y (*.f64 y x)) |
(* x (+ (* -1 y) (/ y x))) |
(-.f64 y (*.f64 y x)) |
(* x (+ (* -1 y) (/ y x))) |
(-.f64 y (*.f64 y x)) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(-.f64 y (*.f64 y x)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(-.f64 y (*.f64 y x)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(-.f64 y (*.f64 y 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) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(+.f64 #s(literal -1 binary64) y) |
(- (* y (+ 1 (* -1 y))) 1) |
(fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) |
(- (* y (+ 1 (* y (- y 1)))) 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 y) 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y) |
(/ (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))) y) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y) |
(/ (- (+ (/ 1 y) (/ 1 (pow y 3))) (+ 1 (/ 1 (pow y 2)))) y) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(* -1 (/ (- 1 (/ 1 y)) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) (neg.f64 y)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) 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)) (neg.f64 y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))) |
(fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
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(-.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 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))) |
(fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))))) |
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(+ 1 (* -1 (- 1 x))) |
x |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y)))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3))))))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)) y)) |
(+ 1 (* -1 (- 1 x))) |
x |
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y)))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)) y)) |
(+ 1 (* -1 (/ y (+ 1 y)))) |
(+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(/ -1 (+ 1 y)) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))) |
(* -1 (- 1 x)) |
(+.f64 #s(literal -1 binary64) x) |
(+ (* -1 (* y (- x 1))) (* -1 (- 1 x))) |
(*.f64 (+.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 1 binary64) x)) |
(+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(+ (* -1 (- 1 x)) (* y (+ (* -1 (- x 1)) (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 1 binary64) x))) |
(* -1 (/ (- 1 x) y)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))) y) |
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y) |
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y)))) y) |
(/.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)) y) |
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3)))))) y) |
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)) y))) y) |
(* -1 (/ (- 1 x) y)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(* -1 (/ (- (+ 1 (* -1 (/ (- 1 x) y))) x) y)) |
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y))) x) y)) |
(/.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)) y) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y)) (* -1 (- 1 x))) y))) x) y)) |
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)) y))) y) |
-1 |
#s(literal -1 binary64) |
(- (* -1 y) 1) |
(-.f64 #s(literal -1 binary64) y) |
(- (* -1 y) 1) |
(-.f64 #s(literal -1 binary64) y) |
(- (* -1 y) 1) |
(-.f64 #s(literal -1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) y) |
| 4 462× | lower-*.f64 |
| 4 462× | lower-*.f32 |
| 4 356× | lower-/.f32 |
| 4 348× | lower-/.f64 |
| 3 038× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 140 |
| 0 | 43 | 139 |
| 1 | 219 | 139 |
| 2 | 2031 | 139 |
| 0 | 8261 | 135 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 y (neg.f64 x) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 y (neg.f64 x) y) |
(neg.f64 x) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) |
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
(+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) |
(-.f64 #s(literal -1 binary64) y) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (neg.f64 x) y) (-.f64 #s(literal -1 binary64) y))) |
(+.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 y #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 y (neg.f64 x) y) (fma.f64 y (neg.f64 x) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 y #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (fma.f64 y (neg.f64 x) y) (fma.f64 y (neg.f64 x) y))) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y)))) (fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 y #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 (fma.f64 y (neg.f64 x) y) (fma.f64 y (neg.f64 x) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y (neg.f64 x) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (neg.f64 x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (fma.f64 y (neg.f64 x) y) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(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)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (fma.f64 y (neg.f64 x) y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (-.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 y (neg.f64 x) y) (fma.f64 y (neg.f64 x) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (fma.f64 y (neg.f64 x) y) (fma.f64 y (neg.f64 x) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 y #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y (neg.f64 x) y) (fma.f64 y (neg.f64 x) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 y (neg.f64 x) y) (fma.f64 y (neg.f64 x) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y)))) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (fma.f64 y (neg.f64 x) y) (fma.f64 y (neg.f64 x) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 y #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y)))) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y (neg.f64 x) y) (fma.f64 y (neg.f64 x) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))))))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal -1 binary64) (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 y y))) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (neg.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 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (neg.f64 (+.f64 y #s(literal -1 binary64))))) |
(pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
Compiled 11 541 to 984 computations (91.5% saved)
22 alts after pruning (14 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 675 | 0 | 675 |
| Fresh | 0 | 14 | 14 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 675 | 22 | 697 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 65.0% | (fma.f64 (fma.f64 y (neg.f64 x) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| ✓ | 76.4% | (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| ✓ | 37.3% | (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| 48.6% | (fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) | |
| ▶ | 36.9% | (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
| 28.6% | (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) (-.f64 #s(literal 1 binary64) x))) | |
| 52.2% | #s(approx (- 1 (/ (- 1 x) (/ (+ 1 y) y))) (-.f64 x (/.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))) | |
| 52.2% | #s(approx (- 1 (/ (- 1 x) (/ (+ 1 y) y))) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) x)) y))) | |
| ▶ | 54.0% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y))) |
| 52.0% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) (/.f64 x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) | |
| ▶ | 38.2% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 y (*.f64 y x)) (*.f64 y y)))) |
| ✓ | 52.1% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
| ✓ | 52.4% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
| 46.4% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) y)) | |
| 14.2% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) | |
| 40.7% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 (fma.f64 y x (-.f64 #s(literal 1 binary64) x)) y))) | |
| ✓ | 13.6% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) |
| 41.0% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y)))) | |
| ▶ | 14.2% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x))))) |
| ▶ | 14.9% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) |
| ✓ | 36.2% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
| ✓ | 41.5% | #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
Compiled 429 to 238 computations (44.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y (*.f64 y x)) | |
| cost-diff | 0 | (+.f64 x (/.f64 (-.f64 y (*.f64 y x)) (*.f64 y y))) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 y (*.f64 y x)) (*.f64 y y)))) | |
| cost-diff | 640 | (/.f64 (-.f64 y (*.f64 y x)) (*.f64 y y)) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (/.f64 y (+.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | #s(approx (/ (- 1 x) (/ (+ 1 y) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) | |
| cost-diff | 0 | (-.f64 x (*.f64 y x)) | |
| cost-diff | 0 | (*.f64 y (-.f64 x (*.f64 y x))) | |
| cost-diff | 0 | #s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x)))) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x))))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x)) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) | |
| cost-diff | 0 | (+.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (+.f64 y #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y))) | |
| cost-diff | 384 | (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y)) |
| 7 300× | lower-fma.f64 |
| 7 300× | lower-fma.f32 |
| 3 202× | lower-*.f32 |
| 3 196× | lower-*.f64 |
| 2 008× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 233 |
| 0 | 46 | 233 |
| 1 | 87 | 233 |
| 2 | 158 | 227 |
| 3 | 368 | 221 |
| 4 | 954 | 221 |
| 5 | 2769 | 221 |
| 6 | 5002 | 221 |
| 7 | 6327 | 221 |
| 8 | 7018 | 221 |
| 9 | 7319 | 221 |
| 10 | 7567 | 221 |
| 11 | 7842 | 221 |
| 0 | 8542 | 217 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y))) |
(/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y)) |
x |
(/.f64 (+.f64 y #s(literal 1 binary64)) y) |
(+.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) |
#s(approx (* (/ y (+ 1 y)) x) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x))))) |
#s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x)))) |
(*.f64 y (-.f64 x (*.f64 y x))) |
y |
(-.f64 x (*.f64 y x)) |
x |
(*.f64 y x) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
#s(literal 1 binary64) |
#s(approx (/ (- 1 x) (/ (+ 1 y) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
y |
(+.f64 #s(literal 1 binary64) y) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 y (*.f64 y x)) (*.f64 y y)))) |
(+.f64 x (/.f64 (-.f64 y (*.f64 y x)) (*.f64 y y))) |
x |
(/.f64 (-.f64 y (*.f64 y x)) (*.f64 y y)) |
(-.f64 y (*.f64 y x)) |
y |
(*.f64 y x) |
(*.f64 y y) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 y (/.f64 x (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y)) |
(*.f64 y (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
x |
(/.f64 (+.f64 y #s(literal 1 binary64)) y) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
y |
#s(literal 1 binary64) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 x y))) |
#s(approx (* (/ y (+ 1 y)) x) (*.f64 y x)) |
#s(approx (* (/ y (+ 1 y)) x) (*.f64 x y)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 x (-.f64 y (*.f64 y y))))) |
#s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x)))) |
#s(approx (* (/ y (+ 1 y)) x) (*.f64 x (-.f64 y (*.f64 y y)))) |
(*.f64 y (-.f64 x (*.f64 y x))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
y |
(-.f64 x (*.f64 y x)) |
(-.f64 x (*.f64 x y)) |
x |
(*.f64 y x) |
(*.f64 x y) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
#s(literal 1 binary64) |
#s(approx (/ (- 1 x) (/ (+ 1 y) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
y |
(+.f64 #s(literal 1 binary64) y) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 y (*.f64 y x)) (*.f64 y y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(+.f64 x (/.f64 (-.f64 y (*.f64 y x)) (*.f64 y y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
x |
(/.f64 (-.f64 y (*.f64 y x)) (*.f64 y y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 y (*.f64 y x)) |
(-.f64 y (*.f64 x y)) |
y |
(*.f64 y x) |
(*.f64 x y) |
(*.f64 y y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.00390625 | (+.f64 x (/.f64 (-.f64 y (*.f64 y x)) (*.f64 y y))) | |
| accuracy | 25.621087745536492 | (/.f64 (-.f64 y (*.f64 y x)) (*.f64 y y)) | |
| accuracy | 30.67840427970132 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 y (*.f64 y x)) (*.f64 y y)))) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.00390625 | (/.f64 y (+.f64 #s(literal 1 binary64) y)) | |
| accuracy | 15.121185819812334 | (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) | |
| accuracy | 30.740815988324687 | #s(approx (/ (- 1 x) (/ (+ 1 y) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.046875 | (*.f64 y (-.f64 x (*.f64 y x))) | |
| accuracy | 29.386331833256783 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x))))) | |
| accuracy | 33.11862262505393 | #s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x)))) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 29.386331833256783 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) | |
| accuracy | 32.683133818882666 | #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x)) | |
| accuracy | 0 | (+.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.01171875 | (/.f64 (+.f64 y #s(literal 1 binary64)) y) | |
| accuracy | 0.11328125 | (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y)) | |
| accuracy | 29.386331833256783 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y))) |
| 46.0ms | 193× | 0 | valid |
| 29.0ms | 55× | 1 | valid |
| 4.0ms | 8× | 2 | valid |
Compiled 163 to 25 computations (84.7% saved)
ival-div: 15.0ms (37.3% of total)ival-mult: 9.0ms (22.4% of total)ival-sub: 8.0ms (19.9% of total)ival-add: 4.0ms (9.9% of total)adjust: 3.0ms (7.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y))> |
#<alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y)))> |
#<alt (/.f64 (+.f64 y #s(literal 1 binary64)) y)> |
#<alt (+.f64 y #s(literal 1 binary64))> |
#<alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x)))> |
#<alt #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))> |
#<alt (*.f64 y x)> |
#<alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x)))))> |
#<alt #s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x))))> |
#<alt (*.f64 y (-.f64 x (*.f64 y x)))> |
#<alt (-.f64 x (*.f64 y x))> |
#<alt (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y))))> |
#<alt #s(approx (/ (- 1 x) (/ (+ 1 y) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))> |
#<alt (/.f64 y (+.f64 #s(literal 1 binary64) y))> |
#<alt (+.f64 #s(literal 1 binary64) y)> |
#<alt (/.f64 (-.f64 y (*.f64 y x)) (*.f64 y y))> |
#<alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 y (*.f64 y x)) (*.f64 y y))))> |
#<alt (+.f64 x (/.f64 (-.f64 y (*.f64 y x)) (*.f64 y y)))> |
#<alt (-.f64 y (*.f64 y x))> |
| Outputs |
|---|
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1 (* x y))))> |
#<alt (* y (+ x (* y (- (* x y) x))))> |
#<alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))> |
#<alt x> |
#<alt (+ x (* -1 (/ x y)))> |
#<alt (- (+ x (/ x (pow y 2))) (/ x y))> |
#<alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))> |
#<alt x> |
#<alt (+ x (* -1 (/ x y)))> |
#<alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))> |
#<alt (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))> |
#<alt (- 1 (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt 1> |
#<alt (+ 1 (* y (- x 1)))> |
#<alt (+ 1 (* y (- (+ x (* y (- 1 x))) 1)))> |
#<alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))> |
#<alt x> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))> |
#<alt (- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))> |
#<alt x> |
#<alt (+ x (* -1 (/ (- x 1) y)))> |
#<alt (+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))> |
#<alt (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))> |
#<alt (/ 1 y)> |
#<alt (/ (+ 1 y) y)> |
#<alt (/ (+ 1 y) y)> |
#<alt (/ (+ 1 y) y)> |
#<alt 1> |
#<alt (+ 1 (/ 1 y))> |
#<alt (+ 1 (/ 1 y))> |
#<alt (+ 1 (/ 1 y))> |
#<alt 1> |
#<alt (+ 1 (/ 1 y))> |
#<alt (+ 1 (/ 1 y))> |
#<alt (+ 1 (/ 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 (- 1 (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt 1> |
#<alt (+ 1 (* y (- x 1)))> |
#<alt (+ 1 (* y (- (+ x (* y (- 1 x))) 1)))> |
#<alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))> |
#<alt x> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))> |
#<alt (- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))> |
#<alt x> |
#<alt (+ x (* -1 (/ (- x 1) y)))> |
#<alt (+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))> |
#<alt (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1 (* x y))))> |
#<alt (* y (+ x (* y (- (* x y) x))))> |
#<alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))> |
#<alt x> |
#<alt (+ x (* -1 (/ x y)))> |
#<alt (- (+ x (/ x (pow y 2))) (/ x y))> |
#<alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))> |
#<alt x> |
#<alt (+ x (* -1 (/ x y)))> |
#<alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))> |
#<alt (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 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 (- 1 (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt 1> |
#<alt (+ 1 (* y (- x 1)))> |
#<alt (+ 1 (* y (- (+ x (* y (- 1 x))) 1)))> |
#<alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))> |
#<alt x> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))> |
#<alt (- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))> |
#<alt x> |
#<alt (+ x (* -1 (/ (- x 1) y)))> |
#<alt (+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))> |
#<alt (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1 (* x y))))> |
#<alt (* y (+ x (* y (- (* x y) x))))> |
#<alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))> |
#<alt x> |
#<alt (+ x (* -1 (/ x y)))> |
#<alt (- (+ x (/ x (pow y 2))) (/ x y))> |
#<alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))> |
#<alt x> |
#<alt (+ x (* -1 (/ x y)))> |
#<alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))> |
#<alt (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1 (* x y))))> |
#<alt (* y (+ x (* -1 (* x y))))> |
#<alt (* y (+ x (* -1 (* x y))))> |
#<alt (* -1 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))> |
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))> |
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))> |
#<alt (* -1 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))> |
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))> |
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))> |
#<alt (* x (* y (- 1 y)))> |
#<alt (* x (* y (- 1 y)))> |
#<alt (* x (* y (- 1 y)))> |
#<alt (* x (* y (- 1 y)))> |
#<alt (* x (* y (- 1 y)))> |
#<alt (* x (* y (- 1 y)))> |
#<alt (* x (* y (- 1 y)))> |
#<alt (* x (* y (- 1 y)))> |
#<alt (* x (* y (+ 1 (* -1 y))))> |
#<alt (* x (* y (+ 1 (* -1 y))))> |
#<alt (* x (* y (+ 1 (* -1 y))))> |
#<alt (* x (* y (+ 1 (* -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 (* -1 y)))> |
#<alt (* x (+ 1 (* -1 y)))> |
#<alt (* x (+ 1 (* -1 y)))> |
#<alt (* x (+ 1 (* -1 y)))> |
#<alt x> |
#<alt (+ x (* -1 (* x y)))> |
#<alt (+ x (* -1 (* x y)))> |
#<alt (+ x (* -1 (* x y)))> |
#<alt (* -1 (* x y))> |
#<alt (* y (- (/ x y) x))> |
#<alt (* y (- (/ x y) x))> |
#<alt (* y (- (/ x y) x))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 x))))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 x))))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 x))))> |
#<alt (- 1 (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt 1> |
#<alt (+ 1 (* y (- x 1)))> |
#<alt (+ 1 (* y (- (+ x (* y (- 1 x))) 1)))> |
#<alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))> |
#<alt x> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))> |
#<alt (- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))> |
#<alt x> |
#<alt (+ x (* -1 (/ (- x 1) y)))> |
#<alt (+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))> |
#<alt (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))> |
#<alt (/ y (+ 1 y))> |
#<alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (* -1 (/ (* x y) (+ 1 y)))> |
#<alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))> |
#<alt (* -1 (/ (* x y) (+ 1 y)))> |
#<alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- (+ 1 (* y (- x 1))) x))> |
#<alt (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))> |
#<alt (* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x))> |
#<alt (- 1 x)> |
#<alt (- (+ 1 (/ x y)) (+ x (/ 1 y)))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2)))))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))))> |
#<alt (- 1 x)> |
#<alt (- (+ 1 (/ x y)) (+ x (/ 1 y)))> |
#<alt (- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x)> |
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x)> |
#<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 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 (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (+ 1 (* -1 x)) y)> |
#<alt (/ (+ 1 (* -1 x)) y)> |
#<alt (/ (+ 1 (* -1 x)) y)> |
#<alt (/ (+ 1 (* -1 x)) y)> |
#<alt (/ 1 y)> |
#<alt (+ (* -1 (/ x y)) (/ 1 y))> |
#<alt (+ (* -1 (/ x y)) (/ 1 y))> |
#<alt (+ (* -1 (/ x y)) (/ 1 y))> |
#<alt (* -1 (/ x y))> |
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))> |
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))> |
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))> |
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))> |
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))> |
#<alt (- 1 (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt 1> |
#<alt (+ 1 (* y (- x 1)))> |
#<alt (+ 1 (* y (- (+ x (* y (- 1 x))) 1)))> |
#<alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))> |
#<alt x> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))> |
#<alt (- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))> |
#<alt x> |
#<alt (+ x (* -1 (/ (- x 1) y)))> |
#<alt (+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))> |
#<alt (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))> |
#<alt (/ 1 y)> |
#<alt (+ (* x (- 1 (/ 1 y))) (/ 1 y))> |
#<alt (+ (* x (- 1 (/ 1 y))) (/ 1 y))> |
#<alt (+ (* x (- 1 (/ 1 y))) (/ 1 y))> |
#<alt (* x (- 1 (/ 1 y)))> |
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ 1 y)))> |
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ 1 y)))> |
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ 1 y)))> |
#<alt (* -1 (* x (- (/ 1 y) 1)))> |
#<alt (* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))> |
#<alt (* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))> |
#<alt (* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- (+ 1 (* x y)) x) y)> |
#<alt (/ (- (+ 1 (* x y)) x) y)> |
#<alt (/ (- (+ 1 (* x y)) x) y)> |
#<alt x> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt x> |
#<alt (+ x (+ (* -1 (/ x y)) (/ 1 y)))> |
#<alt (+ x (+ (* -1 (/ x y)) (/ 1 y)))> |
#<alt (+ x (+ (* -1 (/ x y)) (/ 1 y)))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (+ 1 (* -1 x)))> |
#<alt (* y (+ 1 (* -1 x)))> |
#<alt (* y (+ 1 (* -1 x)))> |
#<alt (* y (+ 1 (* -1 x)))> |
#<alt y> |
#<alt (+ y (* -1 (* x y)))> |
#<alt (+ y (* -1 (* x y)))> |
#<alt (+ y (* -1 (* x y)))> |
#<alt (* -1 (* x y))> |
#<alt (* x (- (/ y x) y))> |
#<alt (* x (- (/ y x) y))> |
#<alt (* x (- (/ y x) y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) (* -1 y))))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) (* -1 y))))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) (* -1 y))))> |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | (* y (- x (* y x))) |
| 1.0ms | x | @ | -inf | (* y (- x (* y x))) |
| 0.0ms | y | @ | 0 | (/ (- y (* y x)) (* y y)) |
| 0.0ms | y | @ | -inf | (/ (- y (* y x)) (* y y)) |
| 0.0ms | x | @ | 0 | (/ (- y (* y x)) (* y y)) |
| 1× | egg-herbie |
| 19 696× | lower-fma.f64 |
| 19 696× | lower-fma.f32 |
| 3 564× | lower-+.f64 |
| 3 564× | lower-+.f32 |
| 2 994× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 209 | 3400 |
| 1 | 646 | 3271 |
| 2 | 1656 | 2932 |
| 3 | 7304 | 2932 |
| 0 | 8333 | 2832 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* y (- (* x y) x)))) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
x |
(+ x (* -1 (/ x y))) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
x |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(/ 1 y) |
(/ (+ 1 y) y) |
(/ (+ 1 y) y) |
(/ (+ 1 y) y) |
1 |
(+ 1 (/ 1 y)) |
(+ 1 (/ 1 y)) |
(+ 1 (/ 1 y)) |
1 |
(+ 1 (/ 1 y)) |
(+ 1 (/ 1 y)) |
(+ 1 (/ 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))) |
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* y (- (* x y) x)))) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
x |
(+ x (* -1 (/ x y))) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
x |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 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) |
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* y (- (* x y) x)))) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
x |
(+ x (* -1 (/ x y))) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
x |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (+ 1 (* -1 y)))) |
(* x (* y (+ 1 (* -1 y)))) |
(* x (* y (+ 1 (* -1 y)))) |
(* x (* y (+ 1 (* -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 (* -1 y))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (* -1 y))) |
x |
(+ x (* -1 (* x y))) |
(+ x (* -1 (* x y))) |
(+ x (* -1 (* x y))) |
(* -1 (* x y)) |
(* y (- (/ x y) x)) |
(* y (- (/ x y) x)) |
(* y (- (/ x y) x)) |
(* -1 (* x y)) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 x)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 x)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 x)))) |
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(/ y (+ 1 y)) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(* -1 (/ (* x y) (+ 1 y))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(* -1 (/ (* x y) (+ 1 y))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(* y (- 1 x)) |
(* y (- (+ 1 (* y (- x 1))) x)) |
(* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)) |
(* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x)) |
(- 1 x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2))))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))) |
(- 1 x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x) |
(- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x) |
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 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))) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (+ 1 (* -1 x)) y) |
(/ (+ 1 (* -1 x)) y) |
(/ (+ 1 (* -1 x)) y) |
(/ (+ 1 (* -1 x)) y) |
(/ 1 y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(* -1 (/ x y)) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* -1 (/ x y)) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(/ 1 y) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(* x (- 1 (/ 1 y))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(* -1 (* x (- (/ 1 y) 1))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(/ (- 1 x) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/ (- (+ 1 (* x y)) x) y) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (/ 1 y)) (/ x y)) |
x |
(+ x (+ (* -1 (/ x y)) (/ 1 y))) |
(+ x (+ (* -1 (/ x y)) (/ 1 y))) |
(+ x (+ (* -1 (/ x y)) (/ 1 y))) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (+ 1 (* -1 x))) |
(* y (+ 1 (* -1 x))) |
(* y (+ 1 (* -1 x))) |
(* y (+ 1 (* -1 x))) |
y |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
(* -1 (* x y)) |
(* x (- (/ y x) y)) |
(* x (- (/ y x) y)) |
(* x (- (/ y x) y)) |
(* -1 (* x y)) |
(* -1 (* x (- (* -1 (/ y x)) (* -1 y)))) |
(* -1 (* x (- (* -1 (/ y x)) (* -1 y)))) |
(* -1 (* x (- (* -1 (/ y x)) (* -1 y)))) |
| Outputs |
|---|
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* y (+ x (* y (- (* x y) x)))) |
(*.f64 y (fma.f64 x (-.f64 (*.f64 y y) y) x)) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
(*.f64 y (fma.f64 y (*.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x)) |
x |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
(-.f64 (fma.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x) (/.f64 x y)) |
x |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(+.f64 x (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y)) |
(- 1 (/ y (+ 1 y))) |
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- x 1))) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(fma.f64 y (fma.f64 y (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) x) (-.f64 #s(literal 1 binary64) y)) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
(+.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) y) (/.f64 x (*.f64 y (*.f64 y y))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) y)) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(+.f64 x (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) y)) y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 y) y) |
(/.f64 (+.f64 y #s(literal 1 binary64)) y) |
(/ (+ 1 y) y) |
(/.f64 (+.f64 y #s(literal 1 binary64)) y) |
(/ (+ 1 y) y) |
(/.f64 (+.f64 y #s(literal 1 binary64)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 y)) |
(/.f64 (+.f64 y #s(literal 1 binary64)) y) |
(+ 1 (/ 1 y)) |
(/.f64 (+.f64 y #s(literal 1 binary64)) y) |
(+ 1 (/ 1 y)) |
(/.f64 (+.f64 y #s(literal 1 binary64)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 y)) |
(/.f64 (+.f64 y #s(literal 1 binary64)) y) |
(+ 1 (/ 1 y)) |
(/.f64 (+.f64 y #s(literal 1 binary64)) y) |
(+ 1 (/ 1 y)) |
(/.f64 (+.f64 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))) |
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(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
(+.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) y) (/.f64 x (*.f64 y (*.f64 y y))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) y)) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(+.f64 x (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) y)) y)) |
(/ y (+ 1 y)) |
(/.f64 y (+.f64 y #s(literal 1 binary64))) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(* -1 (/ (* x y) (+ 1 y))) |
(/.f64 (*.f64 x y) (+.f64 #s(literal -1 binary64) (neg.f64 y))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(* -1 (/ (* x y) (+ 1 y))) |
(/.f64 (*.f64 x y) (+.f64 #s(literal -1 binary64) (neg.f64 y))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(* y (- 1 x)) |
(-.f64 y (*.f64 x y)) |
(* y (- (+ 1 (* y (- x 1))) x)) |
(*.f64 y (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) |
(* 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))) (neg.f64 x)) y) |
(* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x)) |
(*.f64 y (-.f64 (fma.f64 y (fma.f64 y (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) x) (-.f64 #s(literal 1 binary64) y)) x)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 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 x (/.f64 #s(literal 1 binary64) y)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) (/.f64 x (*.f64 y (*.f64 y y))))) (-.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)) (+.f64 x (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) |
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x) |
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) y)) |
(- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) 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) (fma.f64 y (-.f64 #s(literal 1 binary64) 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 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 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)) |
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 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (+ 1 (* -1 x)) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (+ 1 (* -1 x)) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (+ 1 (* -1 x)) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (+ 1 (* -1 x)) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(- 1 (/ y (+ 1 y))) |
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- x 1))) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(fma.f64 y (fma.f64 y (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) x) (-.f64 #s(literal 1 binary64) y)) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
(+.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) y) (/.f64 x (*.f64 y (*.f64 y y))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) y)) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(+.f64 x (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) y)) y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(* x (- 1 (/ 1 y))) |
(-.f64 x (/.f64 x y)) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(* -1 (* x (- (/ 1 y) 1))) |
(-.f64 x (/.f64 x y)) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/.f64 (fma.f64 x y (-.f64 #s(literal 1 binary64) x)) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/.f64 (fma.f64 x y (-.f64 #s(literal 1 binary64) x)) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/.f64 (fma.f64 x y (-.f64 #s(literal 1 binary64) x)) y) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (+ x (/ 1 y)) (/ x y)) |
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (+ x (/ 1 y)) (/ x y)) |
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
x |
(+ x (+ (* -1 (/ x y)) (/ 1 y))) |
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(+ x (+ (* -1 (/ x y)) (/ 1 y))) |
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(+ x (+ (* -1 (/ x y)) (/ 1 y))) |
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 x y)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 x y)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 x y)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 x y)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 x y)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 x y)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 x y)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 x y)) |
(* y (+ 1 (* -1 x))) |
(-.f64 y (*.f64 x y)) |
(* y (+ 1 (* -1 x))) |
(-.f64 y (*.f64 x y)) |
(* y (+ 1 (* -1 x))) |
(-.f64 y (*.f64 x y)) |
(* y (+ 1 (* -1 x))) |
(-.f64 y (*.f64 x y)) |
y |
(+ y (* -1 (* x y))) |
(-.f64 y (*.f64 x y)) |
(+ y (* -1 (* x y))) |
(-.f64 y (*.f64 x y)) |
(+ y (* -1 (* x y))) |
(-.f64 y (*.f64 x y)) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* x (- (/ y x) y)) |
(-.f64 y (*.f64 x y)) |
(* x (- (/ y x) y)) |
(-.f64 y (*.f64 x y)) |
(* x (- (/ y x) y)) |
(-.f64 y (*.f64 x y)) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y x)) (* -1 y)))) |
(-.f64 y (*.f64 x y)) |
(* -1 (* x (- (* -1 (/ y x)) (* -1 y)))) |
(-.f64 y (*.f64 x y)) |
(* -1 (* x (- (* -1 (/ y x)) (* -1 y)))) |
(-.f64 y (*.f64 x y)) |
| 5 990× | lower-/.f32 |
| 5 982× | lower-/.f64 |
| 5 376× | lower-fma.f64 |
| 5 376× | lower-fma.f32 |
| 3 780× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 213 |
| 0 | 46 | 213 |
| 1 | 210 | 213 |
| 2 | 1807 | 213 |
| 0 | 8712 | 211 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y))) |
(/.f64 (+.f64 y #s(literal 1 binary64)) y) |
(+.f64 y #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) |
#s(approx (* (/ y (+ 1 y)) x) (*.f64 y x)) |
(*.f64 y x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x))))) |
#s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x)))) |
(*.f64 y (-.f64 x (*.f64 y x))) |
(-.f64 x (*.f64 y x)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (/ (- 1 x) (/ (+ 1 y) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
(/.f64 (-.f64 y (*.f64 y x)) (*.f64 y y)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 y (*.f64 y x)) (*.f64 y y)))) |
(+.f64 x (/.f64 (-.f64 y (*.f64 y x)) (*.f64 y y))) |
(-.f64 y (*.f64 y x)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x y))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y))) (*.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (neg.f64 y) #s(literal -1 binary64))) (/.f64 (*.f64 x y) (+.f64 (neg.f64 y) #s(literal -1 binary64)))) |
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))))) |
(/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (+.f64 y #s(literal 1 binary64))))) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y))) |
(/.f64 (*.f64 x (neg.f64 y)) (+.f64 (neg.f64 y) #s(literal -1 binary64))) |
(/.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)) |
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(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 y (*.f64 x y)) (-.f64 (*.f64 y y) (*.f64 (*.f64 x (neg.f64 y)) y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y y (*.f64 (*.f64 x y) (fma.f64 x y y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (fma.f64 y y (*.f64 (*.f64 x y) (fma.f64 x y y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y y (*.f64 (*.f64 x y) (fma.f64 x y y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y y (*.f64 (*.f64 x y) (fma.f64 x y y)))) (fma.f64 (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (fma.f64 y y (*.f64 (*.f64 x y) (fma.f64 x y y)))) (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (fma.f64 y y (*.f64 (*.f64 x y) (fma.f64 x y y)))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y y (*.f64 (*.f64 x y) (fma.f64 x y y)))) (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (fma.f64 y y (*.f64 (*.f64 x y) (fma.f64 x y y)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (fma.f64 x y y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (fma.f64 x y y)) (/.f64 (*.f64 y y) (fma.f64 x y y)) (fma.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y y)) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y y)) (*.f64 (/.f64 (*.f64 y y) (fma.f64 x y y)) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y y)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 x y))) #s(literal -1 binary64)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(*.f64 (*.f64 (fma.f64 y y (*.f64 (*.f64 x y) (fma.f64 x y y))) (-.f64 y (*.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 x y) (fma.f64 x y y))))) |
(*.f64 (*.f64 (fma.f64 x y y) (-.f64 y (*.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x y y))) |
(*.f64 (/.f64 (fma.f64 x y y) (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 y (*.f64 x y)) y)) |
Compiled 16 826 to 1 666 computations (90.1% saved)
24 alts after pruning (13 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 967 | 7 | 974 |
| Fresh | 3 | 6 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 8 | 8 |
| Total | 972 | 24 | 996 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 65.0% | (fma.f64 (fma.f64 y (neg.f64 x) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| ✓ | 76.4% | (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| ✓ | 37.3% | (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| 48.6% | (fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) | |
| ✓ | 36.9% | (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
| 28.6% | (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) (-.f64 #s(literal 1 binary64) x))) | |
| 35.8% | (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))))) | |
| 3.1% | (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)))) | |
| 52.2% | #s(approx (- 1 (/ (- 1 x) (/ (+ 1 y) y))) (-.f64 x (/.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))) | |
| 52.2% | #s(approx (- 1 (/ (- 1 x) (/ (+ 1 y) y))) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) y))) | |
| 50.2% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (*.f64 y y)) x)) | |
| 52.0% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) (/.f64 x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) | |
| ✓ | 52.1% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
| ✓ | 52.4% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
| 46.4% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) y)) | |
| 14.2% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) | |
| 41.0% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ x (/ (+ y 1) y)) (-.f64 x (/.f64 x y)))) | |
| 40.7% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- y (* y x)) (* y y))) (/.f64 (fma.f64 x y (-.f64 #s(literal 1 binary64) x)) y))) | |
| ✓ | 13.6% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) |
| 14.2% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (fma.f64 y x (*.f64 (*.f64 x (neg.f64 y)) y)))) | |
| ✓ | 14.2% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x))))) |
| ✓ | 14.9% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) |
| ✓ | 36.2% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
| ✓ | 41.5% | #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
Compiled 649 to 243 computations (62.6% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ x (/ (+ y 1) y)) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (fma.f64 y x (*.f64 (*.f64 x (neg.f64 y)) y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) y)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 (fma.f64 y x (-.f64 #s(literal 1 binary64) x)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- y (* y x)) (* y y))) (/.f64 (fma.f64 x y (-.f64 #s(literal 1 binary64) x)) y))) |
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (*.f64 y y)) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 y (*.f64 y x)) (*.f64 y y)))) |
(fma.f64 (fma.f64 y (neg.f64 x) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) |
#s(approx (- 1 (/ (- 1 x) (/ (+ 1 y) y))) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) x)) y))) |
#s(approx (- 1 (/ (- 1 x) (/ (+ 1 y) y))) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) y))) |
#s(approx (- 1 (/ (- 1 x) (/ (+ 1 y) y))) (-.f64 x (/.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))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) (/.f64 x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) (/.f64 x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) |
5 calls:
| 34.0ms | x |
| 28.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 11.0ms | y |
| 10.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 10.0ms | (-.f64 #s(literal 1 binary64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.6% | 3 | x |
| 100.0% | 3 | y |
| 100.0% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 100.0% | 3 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 76.4% | 1 | (-.f64 #s(literal 1 binary64) x) |
Compiled 35 to 23 computations (34.3% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ x (/ (+ y 1) y)) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (fma.f64 y x (*.f64 (*.f64 x (neg.f64 y)) y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) y)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 (fma.f64 y x (-.f64 #s(literal 1 binary64) x)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- y (* y x)) (* y y))) (/.f64 (fma.f64 x y (-.f64 #s(literal 1 binary64) x)) y))) |
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (*.f64 y y)) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 y (*.f64 y x)) (*.f64 y y)))) |
(fma.f64 (fma.f64 y (neg.f64 x) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) |
#s(approx (- 1 (/ (- 1 x) (/ (+ 1 y) y))) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) x)) y))) |
#s(approx (- 1 (/ (- 1 x) (/ (+ 1 y) y))) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) y))) |
#s(approx (- 1 (/ (- 1 x) (/ (+ 1 y) y))) (-.f64 x (/.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))) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) y))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) |
1 calls:
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ x (/ (+ y 1) y)) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (fma.f64 y x (*.f64 (*.f64 x (neg.f64 y)) y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) y)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 (fma.f64 y x (-.f64 #s(literal 1 binary64) x)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- y (* y x)) (* y y))) (/.f64 (fma.f64 x y (-.f64 #s(literal 1 binary64) x)) y))) |
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (*.f64 y y)) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 y (*.f64 y x)) (*.f64 y y)))) |
(fma.f64 (fma.f64 y (neg.f64 x) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) |
#s(approx (- 1 (/ (- 1 x) (/ (+ 1 y) y))) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) x)) y))) |
#s(approx (- 1 (/ (- 1 x) (/ (+ 1 y) y))) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) y))) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) |
1 calls:
| 26.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ x (/ (+ y 1) y)) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (fma.f64 y x (*.f64 (*.f64 x (neg.f64 y)) y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) y)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 (fma.f64 y x (-.f64 #s(literal 1 binary64) x)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- y (* y x)) (* y y))) (/.f64 (fma.f64 x y (-.f64 #s(literal 1 binary64) x)) y))) |
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (*.f64 y y)) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 y (*.f64 y x)) (*.f64 y y)))) |
(fma.f64 (fma.f64 y (neg.f64 x) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
3 calls:
| 18.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 9.0ms | y |
| 8.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 99.7% | 3 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 99.8% | 3 | y |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ x (/ (+ y 1) y)) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (fma.f64 y x (*.f64 (*.f64 x (neg.f64 y)) y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) y)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 (fma.f64 y x (-.f64 #s(literal 1 binary64) x)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- y (* y x)) (* y y))) (/.f64 (fma.f64 x y (-.f64 #s(literal 1 binary64) x)) y))) |
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
3 calls:
| 24.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 8.0ms | y |
| 7.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 99.2% | 3 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 99.2% | 3 | y |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ x (/ (+ y 1) y)) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (fma.f64 y x (*.f64 (*.f64 x (neg.f64 y)) y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) y)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 (fma.f64 y x (-.f64 #s(literal 1 binary64) x)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- y (* y x)) (* y y))) (/.f64 (fma.f64 x y (-.f64 #s(literal 1 binary64) x)) y))) |
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
3 calls:
| 48.0ms | y |
| 7.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 7.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | y |
| 99.5% | 4 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 99.5% | 4 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ x (/ (+ y 1) y)) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
1 calls:
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ x (/ (+ y 1) y)) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
1 calls:
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ x (/ (+ y 1) y)) (-.f64 x (/.f64 x y)))) |
| Outputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
3 calls:
| 10.0ms | y |
| 4.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 4.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.7% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 76.7% | 3 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 88.7% | 4 | y |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
1 calls:
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.9% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) (/ (+ 1 y) y)) (-.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
5 calls:
| 4.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 3.0ms | y |
| 3.0ms | x |
| 2.0ms | (-.f64 #s(literal 1 binary64) x) |
| 2.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.2% | 3 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 74.2% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 53.8% | 4 | (-.f64 #s(literal 1 binary64) x) |
| 54.5% | 4 | x |
| 74.1% | 3 | y |
Compiled 35 to 23 computations (34.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
| Outputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
5 calls:
| 1.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 1.0ms | (-.f64 #s(literal 1 binary64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.5% | 1 | (-.f64 #s(literal 1 binary64) x) |
| 41.5% | 1 | x |
| 41.5% | 1 | y |
| 41.5% | 1 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 41.5% | 1 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
Compiled 35 to 23 computations (34.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 0.006513590472658687 | 1131131996376126.8 |
| 12.0ms | -2304974.092152463 | -63.51014497272745 |
| 15.0ms | 288× | 0 | valid |
Compiled 666 to 411 computations (38.3% saved)
ival-sub: 3.0ms (38.2% of total)ival-div: 2.0ms (25.5% of total)ival-mult: 2.0ms (25.5% of total)ival-add: 1.0ms (12.7% 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 | 0.006513590472658687 | 1131131996376126.8 |
| 1.0ms | -2304974.092152463 | -63.51014497272745 |
Compiled 586 to 379 computations (35.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.006513590472658687 | 1131131996376126.8 |
| 10.0ms | -2304974.092152463 | -63.51014497272745 |
| 6.0ms | 96× | 0 | valid |
Compiled 538 to 355 computations (34% saved)
ival-mult: 2.0ms (47.9% of total)ival-div: 1.0ms (24% of total)ival-sub: 1.0ms (24% 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)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 0.006513590472658687 | 1131131996376126.8 |
| 20.0ms | -124966553638916.88 | -30291693.963813554 |
| 11.0ms | 199× | 0 | valid |
| 9.0ms | 89× | 1 | valid |
Compiled 453 to 298 computations (34.2% saved)
ival-mult: 4.0ms (30% of total)ival-div: 3.0ms (22.5% of total)ival-sub: 3.0ms (22.5% of total)adjust: 2.0ms (15% of total)ival-add: 1.0ms (7.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.000000033012351 | 1.0000000963881377 |
| 0.0ms | 0.006471438174620082 | 0.7561338307878319 |
Compiled 16 to 14 computations (12.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 0.006513590472658687 | 1131131996376126.8 |
| 13.0ms | -63.51014497272745 | -0.028759133412588376 |
| 15.0ms | 256× | 0 | valid |
Compiled 456 to 291 computations (36.2% saved)
ival-sub: 5.0ms (52% of total)ival-div: 2.0ms (20.8% of total)ival-mult: 2.0ms (20.8% of total)ival-add: 1.0ms (10.4% 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 |
|---|---|---|
| 3.0ms | 0.006513590472658687 | 1131131996376126.8 |
| 1.0ms | -63.51014497272745 | -0.028759133412588376 |
| 1.0ms | 32× | 0 | valid |
Compiled 384 to 255 computations (33.6% saved)
ival-div: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 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 | 0.006513590472658687 | 1131131996376126.8 |
| 1.0ms | -63.51014497272745 | -0.028759133412588376 |
Compiled 376 to 247 computations (34.3% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 0.006513590472658687 | 1131131996376126.8 |
| 8.0ms | -30291693.963813554 | -2304974.092152463 |
| 23.0ms | -1.248139323375346e+61 | -3.301581631300469e+59 |
| 13.0ms | 266× | 0 | valid |
| 6.0ms | 54× | 1 | valid |
Compiled 365 to 241 computations (34% saved)
ival-sub: 4.0ms (35% of total)ival-div: 2.0ms (17.5% of total)ival-add: 2.0ms (17.5% of total)ival-mult: 2.0ms (17.5% of total)adjust: 1.0ms (8.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.006513590472658687 | 1131131996376126.8 |
| 1.0ms | -63.51014497272745 | -0.028759133412588376 |
Compiled 286 to 193 computations (32.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.958038562888922e+33 | 3.9902560716653576e+36 |
| 0.0ms | 0.24386616921216808 | 0.99352856182538 |
Compiled 16 to 13 computations (18.8% saved)
| 1× | egg-herbie |
| 262× | unsub-neg_binary64 |
| 260× | distribute-lft-neg-in_binary64 |
| 176× | neg-mul-1_binary64 |
| 134× | neg-sub0_binary64 |
| 110× | cancel-sign-sub_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 776 |
| 1 | 150 | 776 |
| 2 | 183 | 776 |
| 3 | 213 | 776 |
| 4 | 235 | 776 |
| 5 | 260 | 776 |
| 6 | 308 | 776 |
| 7 | 386 | 776 |
| 8 | 489 | 776 |
| 9 | 613 | 776 |
| 10 | 737 | 776 |
| 11 | 846 | 776 |
| 12 | 941 | 776 |
| 13 | 1009 | 776 |
| 14 | 1034 | 776 |
| 15 | 1039 | 776 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y #s(literal -13500 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) (/.f64 x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (if (<=.f64 y #s(literal 280000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)))) |
(if (<=.f64 y #s(literal -13500 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) y))) (if (<=.f64 y #s(literal 280000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)))) |
(if (<=.f64 y #s(literal -310000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) (if (<=.f64 y #s(literal 280000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)))) |
(if (<=.f64 y #s(literal -68000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 27000000000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 5764607523034235/576460752303423488 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))) (if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 4503599852550477/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 7656119366529843/9007199254740992 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))) |
(if (<=.f64 y #s(literal -335000000000000022294001873933693049535685238550608625008640 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (if (<=.f64 y #s(literal -2400000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal 3602879701896397/9007199254740992 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal 4999999999999999727876154935214080 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x))) |
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
| Outputs |
|---|
(if (<=.f64 y #s(literal -13500 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) (/.f64 x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (if (<=.f64 y #s(literal 280000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)))) |
(if (<=.f64 y #s(literal -13500 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) y))) (if (<=.f64 y #s(literal 280000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)))) |
(if (<=.f64 y #s(literal -310000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) (if (<=.f64 y #s(literal 280000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)))) |
(if (<=.f64 y #s(literal -68000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 27000000000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 5764607523034235/576460752303423488 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))) (if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 4503599852550477/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)))) |
(if (<=.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal 1 binary64))) #s(literal 5764607523034235/576460752303423488 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))) (if (<=.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal 1 binary64))) #s(literal 4503599852550477/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 7656119366529843/9007199254740992 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 3602879701896397/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))) |
(if (<=.f64 y #s(literal -335000000000000022294001873933693049535685238550608625008640 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (if (<=.f64 y #s(literal -2400000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal 3602879701896397/9007199254740992 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (if (<=.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(literal 4999999999999999727876154935214080 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x))) |
(if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) y))) #s(literal 3602879701896397/9007199254740992 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (if (<=.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) y))) #s(literal 4999999999999999727876154935214080 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x))) |
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
| 19 120× | lower-fma.f64 |
| 19 120× | lower-fma.f32 |
| 13 336× | lower-fma.f64 |
| 13 336× | lower-fma.f32 |
| 6 332× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 31 |
| 0 | 13 | 31 |
| 1 | 63 | 31 |
| 2 | 533 | 31 |
| 0 | 8517 | 30 |
| 0 | 274 | 3437 |
| 1 | 867 | 3021 |
| 2 | 2593 | 2660 |
| 0 | 8322 | 2548 |
| 0 | 127 | 823 |
| 1 | 400 | 799 |
| 2 | 1127 | 684 |
| 3 | 4566 | 669 |
| 0 | 8319 | 648 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 779 to 313 computations (59.8% saved)
Compiled 932 to 232 computations (75.1% saved)
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