
Time bar (total: 9.6s)
| 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 11 computations (15.4% saved)
| 695.0ms | 8 256× | 0 | valid |
ival-sub: 232.0ms (58.3% of total)ival-mult: 94.0ms (23.6% of total)ival-div: 55.0ms (13.8% of total)exact: 8.0ms (2% of total)ival-true: 6.0ms (1.5% of total)ival-assert: 3.0ms (0.8% of total)| 1× | egg-herbie |
| 8 876× | lower-fma.f64 |
| 8 876× | lower-fma.f32 |
| 2 550× | lower-*.f32 |
| 2 546× | lower-*.f64 |
| 1 814× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 63 |
| 1 | 76 | 55 |
| 2 | 327 | 55 |
| 3 | 1499 | 55 |
| 4 | 6381 | 55 |
| 0 | 9 | 11 |
| 0 | 14 | 11 |
| 1 | 28 | 11 |
| 2 | 72 | 11 |
| 3 | 171 | 11 |
| 4 | 530 | 11 |
| 5 | 2133 | 11 |
| 6 | 6375 | 11 |
| 0 | 8030 | 10 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) y)) |
(negabs y)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 22 | 0 | - | 0 | - | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 3 binary64) x) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) | o/n | 22 | 0 |
| ↳ | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) | overflow | 63 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 22 | 0 |
| - | 0 | 234 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 22 | 0 | 0 |
| - | 0 | 0 | 234 |
| number | freq |
|---|---|
| 0 | 234 |
| 1 | 22 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 34.0ms | 512× | 0 | valid |
Compiled 92 to 40 computations (56.5% saved)
ival-mult: 6.0ms (38% of total)ival-sub: 5.0ms (31.7% of total)ival-div: 3.0ms (19% of total)exact: 1.0ms (6.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 91.7% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
Compiled 13 to 9 computations (30.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 #s(literal 3 binary64) x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | cost-diff | 128 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 8 876× | lower-fma.f64 |
| 8 876× | lower-fma.f32 |
| 2 550× | lower-*.f32 |
| 2 546× | lower-*.f64 |
| 1 814× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 31 |
| 0 | 14 | 31 |
| 1 | 28 | 31 |
| 2 | 72 | 31 |
| 3 | 171 | 31 |
| 4 | 530 | 31 |
| 5 | 2133 | 31 |
| 6 | 6375 | 31 |
| 0 | 8030 | 29 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
(fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) y) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal 3 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| ✓ | accuracy | 91.7% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 16.0ms | 256× | 0 | valid |
Compiled 33 to 11 computations (66.7% saved)
ival-sub: 3.0ms (39.7% of total)ival-mult: 3.0ms (39.7% of total)ival-div: 2.0ms (26.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))> |
#<alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))> |
#<alt (-.f64 #s(literal 1 binary64) x)> |
#<alt (-.f64 #s(literal 3 binary64) x)> |
#<alt (*.f64 y #s(literal 3 binary64))> |
| Outputs |
|---|
#<alt 3> |
#<alt (+ 3 (* -4 x))> |
#<alt (+ 3 (* x (- x 4)))> |
#<alt (+ 3 (* x (- x 4)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (* 4 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (* 4 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))> |
#<alt (/ 1 y)> |
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 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 3> |
#<alt (+ 3 (* -1 x))> |
#<alt (+ 3 (* -1 x))> |
#<alt (+ 3 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 3 (/ 1 x)) 1))> |
#<alt (* x (- (* 3 (/ 1 x)) 1))> |
#<alt (* x (- (* 3 (/ 1 x)) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1 (* 3 (/ 1 x)))))> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | -inf | (/ (* (- 1 x) (- 3 x)) (* y 3)) |
| 1.0ms | y | @ | 0 | (/ (* (- 1 x) (- 3 x)) (* y 3)) |
| 1.0ms | y | @ | inf | (/ (* (- 1 x) (- 3 x)) (* y 3)) |
| 0.0ms | x | @ | inf | (/ (* (- 1 x) (- 3 x)) (* y 3)) |
| 0.0ms | x | @ | 0 | (/ (* (- 1 x) (- 3 x)) (* y 3)) |
| 1× | egg-herbie |
| 8 634× | lower-fma.f64 |
| 8 634× | lower-fma.f32 |
| 3 164× | lower-*.f64 |
| 3 164× | lower-*.f32 |
| 2 266× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 446 |
| 1 | 216 | 446 |
| 2 | 543 | 446 |
| 3 | 1549 | 418 |
| 4 | 4034 | 418 |
| 5 | 7651 | 418 |
| 0 | 8497 | 384 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
3 |
(+ 3 (* -4 x)) |
(+ 3 (* x (- x 4))) |
(+ 3 (* x (- x 4))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 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)))) |
3 |
(+ 3 (* -1 x)) |
(+ 3 (* -1 x)) |
(+ 3 (* -1 x)) |
(* -1 x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
| Outputs |
|---|
3 |
#s(literal 3 binary64) |
(+ 3 (* -4 x)) |
(fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) |
(+ 3 (* x (- x 4))) |
(fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) |
(+ 3 (* x (- x 4))) |
(fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -4 binary64) x)) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -4 binary64) x)) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) |
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) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -1 x)) |
(-.f64 #s(literal 3 binary64) x) |
(+ 3 (* -1 x)) |
(-.f64 #s(literal 3 binary64) x) |
(+ 3 (* -1 x)) |
(-.f64 #s(literal 3 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(-.f64 #s(literal 3 binary64) x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(-.f64 #s(literal 3 binary64) x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(-.f64 #s(literal 3 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal 3 binary64) x) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal 3 binary64) x) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal 3 binary64) x) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
| 1× | batch-egg-rewrite |
| 4 254× | lower-*.f32 |
| 4 250× | lower-*.f64 |
| 4 002× | lower-/.f32 |
| 4 000× | lower-/.f64 |
| 1 836× | frac-times |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 0 | 14 | 27 |
| 1 | 59 | 27 |
| 2 | 433 | 27 |
| 3 | 7340 | 27 |
| 0 | 8063 | 27 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 3 binary64) x) |
(*.f64 y #s(literal 3 binary64)) |
| Outputs |
|---|
(+.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 x (-.f64 x #s(literal 3 binary64)))) |
(+.f64 (*.f64 x (-.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 3 binary64) x)) |
(+.f64 (-.f64 (*.f64 x x) x) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64))) |
(+.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)))) |
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) x) (*.f64 x (-.f64 x #s(literal 3 binary64)))) |
(fma.f64 x (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64))) |
(fma.f64 x (-.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 3 binary64) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64) (-.f64 (*.f64 x x) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64))) |
(fma.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 x x) x)) |
(fma.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 3 binary64)))) |
(fma.f64 (-.f64 #s(literal 3 binary64) x) (neg.f64 x) (-.f64 #s(literal 3 binary64) x)) |
(fma.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (*.f64 x (-.f64 x #s(literal 3 binary64)))) |
(fma.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64))) (*.f64 x (-.f64 x #s(literal 3 binary64)))) |
(fma.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 x (-.f64 x #s(literal 3 binary64)))) |
(fma.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (neg.f64 x)) (-.f64 #s(literal 3 binary64) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 x)) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)) |
(fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64))) |
(fma.f64 (neg.f64 x) (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
(fma.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) (*.f64 x (-.f64 x #s(literal 3 binary64)))) |
(fma.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 x (-.f64 x #s(literal 3 binary64)))) |
(fma.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) (neg.f64 x)) (-.f64 #s(literal 3 binary64) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 x)) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 3 binary64) x)) |
(fma.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))) (*.f64 x (-.f64 x #s(literal 3 binary64)))) |
(fma.f64 (+.f64 #s(literal -9 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -3 binary64))) (*.f64 x (-.f64 x #s(literal 3 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 x #s(literal 3 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 x (-.f64 x #s(literal 3 binary64)))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (*.f64 x (-.f64 x #s(literal 3 binary64)))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) (*.f64 x (-.f64 x #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (-.f64 #s(literal 3 binary64) x)) |
(fma.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x (-.f64 #s(literal 3 binary64) x)) |
(fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x x) x)) |
(fma.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64))) |
(fma.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 3 binary64) x)) |
(fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (*.f64 x x) x)) |
(fma.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64))) |
(fma.f64 (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 #s(literal 9 binary64) (*.f64 x x))) (-.f64 #s(literal 3 binary64) x) (*.f64 x (-.f64 x #s(literal 3 binary64)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 x #s(literal 3 binary64)))) #s(literal 729 binary64))) (fma.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 9 binary64)) #s(literal 81 binary64)) (*.f64 x (-.f64 x #s(literal 3 binary64)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 x #s(literal 3 binary64)))))) (-.f64 #s(literal 9 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64)))) (*.f64 x (-.f64 x #s(literal 3 binary64)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 27 binary64))) (fma.f64 x (-.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (*.f64 x (-.f64 x #s(literal 3 binary64)))) |
(neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 9 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 9 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) x))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64)) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 9 binary64) (*.f64 x x))) (*.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 9 binary64) (*.f64 x x))) (+.f64 x #s(literal 3 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 3 binary64) x)) (neg.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 3 binary64) x)) (+.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) x)) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
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(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))) |
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(/.f64 (neg.f64 (+.f64 #s(literal -9 binary64) (*.f64 x x))) (neg.f64 (+.f64 (neg.f64 x) #s(literal -3 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (*.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 9 binary64) (+.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (+.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 9 binary64) (+.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 3 binary64))))))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 9 binary64)) (-.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))))) (+.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 9 binary64) (+.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 9 binary64) (+.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 3 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 19683 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 27 binary64)) #s(literal 729 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))) (fma.f64 x (*.f64 x x) #s(literal 27 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 9 binary64)) #s(literal 81 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 9 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64)) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) x)) |
(*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(*.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(*.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64)))) |
(*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))))) |
(*.f64 (+.f64 #s(literal -9 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 x x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 #s(literal 9 binary64) (*.f64 x x))) (-.f64 #s(literal 3 binary64) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 x #s(literal 3 binary64)))) #s(literal 729 binary64))) (fma.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 9 binary64)) #s(literal 81 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 x #s(literal 3 binary64)))))) (-.f64 #s(literal 9 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 27 binary64))) (fma.f64 x (-.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -3 binary64))) |
(neg.f64 (*.f64 y #s(literal -3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) y)) |
(/.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) |
(/.f64 (*.f64 y #s(literal -3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 y))) |
(*.f64 #s(literal 3 binary64) (/.f64 y #s(literal 1 binary64))) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal -3 binary64))) |
(*.f64 (neg.f64 y) #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) (neg.f64 y)) |
(*.f64 (neg.f64 (neg.f64 y)) #s(literal 3 binary64)) |
Compiled 17 681 to 2 089 computations (88.2% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 804 | 11 | 815 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 805 | 11 | 816 |
| Status | Accuracy | Program |
|---|---|---|
| 91.7% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) | |
| ▶ | 44.8% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x (+.f64 #s(literal -4 binary64) x))) (*.f64 y #s(literal 3 binary64))) |
| 44.4% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) | |
| 49.5% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| ▶ | 99.5% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 3 binary64) x)) |
| 91.5% | (*.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))) | |
| 91.8% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)) | |
| ▶ | 49.6% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| 52.8% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) | |
| ▶ | 55.9% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))) |
| ▶ | 52.4% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y))) |
Compiled 240 to 156 computations (35% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal -4 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal -4 binary64) x)) |
| ✓ | cost-diff | 0 | #s(approx (* (- 1 x) (- 3 x)) (*.f64 x (+.f64 #s(literal -4 binary64) x))) |
| ✓ | cost-diff | 0 | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x (+.f64 #s(literal -4 binary64) x))) (*.f64 y #s(literal 3 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) |
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y)) |
| ✓ | cost-diff | 0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 3 binary64) y) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 3 binary64) x)) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y)) |
| 17 662× | lower-fma.f32 |
| 17 660× | lower-fma.f64 |
| 3 828× | lower-*.f32 |
| 3 814× | lower-*.f64 |
| 1 526× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 172 |
| 0 | 46 | 172 |
| 1 | 95 | 168 |
| 2 | 189 | 168 |
| 3 | 376 | 168 |
| 4 | 1051 | 168 |
| 5 | 4085 | 168 |
| 0 | 8159 | 161 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 3 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
(-.f64 #s(literal 3 binary64) x) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y))) |
(*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y)) |
x |
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y) |
(*.f64 x #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) |
x |
#s(literal -4/3 binary64) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x (+.f64 #s(literal -4 binary64) x))) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 x (+.f64 #s(literal -4 binary64) x))) |
(*.f64 x (+.f64 #s(literal -4 binary64) x)) |
x |
(+.f64 #s(literal -4 binary64) x) |
#s(literal -4 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 3 binary64) x)) |
(/.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y)) |
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
(-.f64 #s(literal 3 binary64) x) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 x x) (*.f64 #s(literal 3 binary64) y))) |
(*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y)) |
(/.f64 (*.f64 x x) (*.f64 #s(literal 3 binary64) y)) |
x |
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y) |
(/.f64 x (*.f64 #s(literal 3 binary64) y)) |
(*.f64 x #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))) |
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) |
x |
#s(literal -4/3 binary64) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x (+.f64 #s(literal -4 binary64) x))) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x (+.f64 x #s(literal -4 binary64)))) (*.f64 #s(literal 3 binary64) y)) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 x (+.f64 #s(literal -4 binary64) x))) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 x (+.f64 x #s(literal -4 binary64)))) |
(*.f64 x (+.f64 #s(literal -4 binary64) x)) |
(*.f64 x (+.f64 x #s(literal -4 binary64))) |
x |
(+.f64 #s(literal -4 binary64) x) |
(+.f64 x #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) y) |
y |
#s(literal 3 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal 3 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal -4 binary64) x)) |
| ✓ | accuracy | 91.7% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x (+.f64 #s(literal -4 binary64) x))) (*.f64 y #s(literal 3 binary64))) |
| ✓ | accuracy | 52.5% | #s(approx (* (- 1 x) (- 3 x)) (*.f64 x (+.f64 #s(literal -4 binary64) x))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 99.8% | (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))) |
| ✓ | accuracy | 55.9% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y)) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/3 binary64)) |
| ✓ | accuracy | 52.6% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 49.6% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 3 binary64) y) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 3 binary64) x)) |
| ✓ | accuracy | 99.6% | (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y)) |
| 50.0ms | 256× | 0 | valid |
Compiled 143 to 26 computations (81.8% saved)
ival-mult: 13.0ms (39% of total)const: 9.0ms (27% of total)ival-div: 6.0ms (18% of total)ival-sub: 3.0ms (9% of total)ival-add: 2.0ms (6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y))> |
#<alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 3 binary64) x))> |
#<alt (-.f64 #s(literal 1 binary64) x)> |
#<alt (*.f64 #s(literal 3 binary64) y)> |
#<alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))> |
#<alt (/.f64 #s(literal 1 binary64) y)> |
#<alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y)))> |
#<alt (*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y))> |
#<alt (/.f64 (*.f64 x #s(literal 1/3 binary64)) y)> |
#<alt (*.f64 x #s(literal 1/3 binary64))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))> |
#<alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))))> |
#<alt (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))> |
#<alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x (+.f64 #s(literal -4 binary64) x))) (*.f64 y #s(literal 3 binary64)))> |
#<alt #s(approx (* (- 1 x) (- 3 x)) (*.f64 x (+.f64 #s(literal -4 binary64) x)))> |
#<alt (*.f64 x (+.f64 #s(literal -4 binary64) x))> |
#<alt (+.f64 #s(literal -4 binary64) x)> |
#<alt (*.f64 y #s(literal 3 binary64))> |
| Outputs |
|---|
#<alt (/ 1/3 y)> |
#<alt (+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))> |
#<alt (+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))> |
#<alt (+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))> |
#<alt (* -1/3 (/ x y))> |
#<alt (* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))> |
#<alt (* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))> |
#<alt (* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))> |
#<alt (* -1/3 (/ x y))> |
#<alt (* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))> |
#<alt (* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))> |
#<alt (* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))> |
#<alt (* 1/3 (/ (- 1 x) y))> |
#<alt (* 1/3 (/ (- 1 x) y))> |
#<alt (* 1/3 (/ (- 1 x) y))> |
#<alt (* 1/3 (/ (- 1 x) y))> |
#<alt (* 1/3 (/ (- 1 x) y))> |
#<alt (* 1/3 (/ (- 1 x) y))> |
#<alt (* 1/3 (/ (- 1 x) y))> |
#<alt (* 1/3 (/ (- 1 x) y))> |
#<alt (* 1/3 (/ (- 1 x) y))> |
#<alt (* 1/3 (/ (- 1 x) y))> |
#<alt (* 1/3 (/ (- 1 x) y))> |
#<alt (* 1/3 (/ (- 1 x) y))> |
#<alt (/ 1 y)> |
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 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 (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (/ 1 y)> |
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 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)> |
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ 1 y)> |
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))> |
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))> |
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))> |
#<alt (* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))> |
#<alt (* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))> |
#<alt (* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))> |
#<alt (* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))> |
#<alt (/ 1 y)> |
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt 1> |
#<alt (+ 1 (* -4/3 x))> |
#<alt (+ 1 (* -4/3 x))> |
#<alt (+ 1 (* -4/3 x))> |
#<alt (* -4/3 x)> |
#<alt (* x (- (/ 1 x) 4/3))> |
#<alt (* x (- (/ 1 x) 4/3))> |
#<alt (* x (- (/ 1 x) 4/3))> |
#<alt (* -4/3 x)> |
#<alt (* -1 (* x (- 4/3 (/ 1 x))))> |
#<alt (* -1 (* x (- 4/3 (/ 1 x))))> |
#<alt (* -1 (* x (- 4/3 (/ 1 x))))> |
#<alt (/ 1 y)> |
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt 3> |
#<alt (+ 3 (* -4 x))> |
#<alt (+ 3 (* x (- x 4)))> |
#<alt (+ 3 (* x (- x 4)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (* 4 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (* 4 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))> |
#<alt (* -4 x)> |
#<alt (* x (- x 4))> |
#<alt (* x (- x 4))> |
#<alt (* x (- x 4))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (* 4 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1 (* 4 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1 (* 4 (/ 1 x))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (* 4 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1 (* 4 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1 (* 4 (/ 1 x))))> |
#<alt -4> |
#<alt (- x 4)> |
#<alt (- x 4)> |
#<alt (- x 4)> |
#<alt x> |
#<alt (* x (- 1 (* 4 (/ 1 x))))> |
#<alt (* x (- 1 (* 4 (/ 1 x))))> |
#<alt (* x (- 1 (* 4 (/ 1 x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 1)))> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | inf | (* x (/ (* x 1/3) y)) |
| 3.0ms | x | @ | 0 | (* x (+ -4 x)) |
| 1.0ms | y | @ | -inf | (/ (- 1 x) (* 3 y)) |
| 1.0ms | y | @ | 0 | (* x (/ (* x 1/3) y)) |
| 1.0ms | x | @ | 0 | (* x (/ (* x 1/3) y)) |
| 1× | egg-herbie |
| 7 866× | lower-fma.f64 |
| 7 866× | lower-fma.f32 |
| 3 014× | lower-*.f64 |
| 3 014× | lower-*.f32 |
| 2 040× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 101 | 2514 |
| 1 | 278 | 2514 |
| 2 | 722 | 2462 |
| 3 | 2013 | 2252 |
| 4 | 6353 | 2252 |
| 0 | 8360 | 2063 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/3 y) |
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y))) |
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y))) |
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y))) |
(* -1/3 (/ x y)) |
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y)))) |
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y)))) |
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y)))) |
(* -1/3 (/ x y)) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y)))))) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y)))))) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y)))))) |
(* 1/3 (/ (- 1 x) y)) |
(* 1/3 (/ (- 1 x) y)) |
(* 1/3 (/ (- 1 x) y)) |
(* 1/3 (/ (- 1 x) y)) |
(* 1/3 (/ (- 1 x) y)) |
(* 1/3 (/ (- 1 x) y)) |
(* 1/3 (/ (- 1 x) y)) |
(* 1/3 (/ (- 1 x) y)) |
(* 1/3 (/ (- 1 x) y)) |
(* 1/3 (/ (- 1 x) y)) |
(* 1/3 (/ (- 1 x) y)) |
(* 1/3 (/ (- 1 x) y)) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 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)))) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 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) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(* -4/3 (/ x y)) |
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y)))) |
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y)))) |
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y)))) |
(* -4/3 (/ x y)) |
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y))))) |
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y))))) |
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y))))) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
1 |
(+ 1 (* -4/3 x)) |
(+ 1 (* -4/3 x)) |
(+ 1 (* -4/3 x)) |
(* -4/3 x) |
(* x (- (/ 1 x) 4/3)) |
(* x (- (/ 1 x) 4/3)) |
(* x (- (/ 1 x) 4/3)) |
(* -4/3 x) |
(* -1 (* x (- 4/3 (/ 1 x)))) |
(* -1 (* x (- 4/3 (/ 1 x)))) |
(* -1 (* x (- 4/3 (/ 1 x)))) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
3 |
(+ 3 (* -4 x)) |
(+ 3 (* x (- x 4))) |
(+ 3 (* x (- x 4))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(* -4 x) |
(* x (- x 4)) |
(* x (- x 4)) |
(* x (- x 4)) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
-4 |
(- x 4) |
(- x 4) |
(- x 4) |
x |
(* x (- 1 (* 4 (/ 1 x)))) |
(* x (- 1 (* 4 (/ 1 x)))) |
(* x (- 1 (* 4 (/ 1 x)))) |
x |
(* -1 (* x (- (* 4 (/ 1 x)) 1))) |
(* -1 (* x (- (* 4 (/ 1 x)) 1))) |
(* -1 (* x (- (* 4 (/ 1 x)) 1))) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
| Outputs |
|---|
(/ 1/3 y) |
(/.f64 #s(literal 1/3 binary64) y) |
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(* -1/3 (/ x y)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) x) y) |
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y)))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y)))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y)))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(* -1/3 (/ x y)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) x) y) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y)))))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(* 1/3 (/ (- 1 x) y)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(* 1/3 (/ (- 1 x) y)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(* 1/3 (/ (- 1 x) y)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(* 1/3 (/ (- 1 x) y)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(* 1/3 (/ (- 1 x) y)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(* 1/3 (/ (- 1 x) y)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(* 1/3 (/ (- 1 x) y)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(* 1/3 (/ (- 1 x) y)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(* 1/3 (/ (- 1 x) y)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(* 1/3 (/ (- 1 x) y)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(* 1/3 (/ (- 1 x) y)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(* 1/3 (/ (- 1 x) y)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(fma.f64 (/.f64 x y) (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(fma.f64 (/.f64 x y) (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(* 1/3 (/ (pow x 2) y)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) y) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 x y) (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(fma.f64 (/.f64 x y) (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(fma.f64 (/.f64 x y) (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(* 1/3 (/ (pow x 2) y)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) y) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 x y) (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 x y) (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 x y) (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) 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) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
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(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 x y) (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 x y) (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 x y) (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -4/3 x)) |
(fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) |
(+ 1 (* -4/3 x)) |
(fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) |
(+ 1 (* -4/3 x)) |
(fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) |
(* -4/3 x) |
(*.f64 x #s(literal -4/3 binary64)) |
(* x (- (/ 1 x) 4/3)) |
(fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) |
(* x (- (/ 1 x) 4/3)) |
(fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) |
(* x (- (/ 1 x) 4/3)) |
(fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) |
(* -4/3 x) |
(*.f64 x #s(literal -4/3 binary64)) |
(* -1 (* x (- 4/3 (/ 1 x)))) |
(fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) |
(* -1 (* x (- 4/3 (/ 1 x)))) |
(fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) |
(* -1 (* x (- 4/3 (/ 1 x)))) |
(fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(fma.f64 (/.f64 x y) (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(fma.f64 (/.f64 x y) (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(* 1/3 (/ (pow x 2) y)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) y) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 x y) (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(fma.f64 (/.f64 x y) (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(fma.f64 (/.f64 x y) (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(* 1/3 (/ (pow x 2) y)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) y) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 x y) (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 x y) (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 x y) (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -4 x)) |
(fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64)) |
(+ 3 (* x (- x 4))) |
(fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)) |
(+ 3 (* x (- x 4))) |
(fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal -4 binary64))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(*.f64 x (+.f64 x (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 3 binary64) x)))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(*.f64 x (+.f64 x (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 3 binary64) x)))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal -4 binary64))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(*.f64 x (+.f64 x (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 3 binary64) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(*.f64 x (+.f64 x (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 3 binary64) x)))) |
(* -4 x) |
(*.f64 x #s(literal -4 binary64)) |
(* x (- x 4)) |
(*.f64 x (+.f64 x #s(literal -4 binary64))) |
(* x (- x 4)) |
(*.f64 x (+.f64 x #s(literal -4 binary64))) |
(* x (- x 4)) |
(*.f64 x (+.f64 x #s(literal -4 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal -4 binary64))) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal -4 binary64))) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal -4 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal -4 binary64))) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal -4 binary64))) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 x (+.f64 x #s(literal -4 binary64))) |
-4 |
#s(literal -4 binary64) |
(- x 4) |
(+.f64 x #s(literal -4 binary64)) |
(- x 4) |
(+.f64 x #s(literal -4 binary64)) |
(- x 4) |
(+.f64 x #s(literal -4 binary64)) |
x |
(* x (- 1 (* 4 (/ 1 x)))) |
(+.f64 x #s(literal -4 binary64)) |
(* x (- 1 (* 4 (/ 1 x)))) |
(+.f64 x #s(literal -4 binary64)) |
(* x (- 1 (* 4 (/ 1 x)))) |
(+.f64 x #s(literal -4 binary64)) |
x |
(* -1 (* x (- (* 4 (/ 1 x)) 1))) |
(+.f64 x #s(literal -4 binary64)) |
(* -1 (* x (- (* 4 (/ 1 x)) 1))) |
(+.f64 x #s(literal -4 binary64)) |
(* -1 (* x (- (* 4 (/ 1 x)) 1))) |
(+.f64 x #s(literal -4 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
| 1× | batch-egg-rewrite |
| 5 342× | lower-fma.f32 |
| 5 340× | lower-fma.f64 |
| 5 074× | lower-*.f32 |
| 5 060× | lower-*.f64 |
| 3 934× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 149 |
| 0 | 46 | 149 |
| 1 | 173 | 145 |
| 2 | 1147 | 145 |
| 0 | 8739 | 145 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 3 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 #s(literal 3 binary64) y) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y))) |
(*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y)) |
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y) |
(*.f64 x #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))) |
(fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x (+.f64 #s(literal -4 binary64) x))) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 x (+.f64 #s(literal -4 binary64) x))) |
(*.f64 x (+.f64 #s(literal -4 binary64) x)) |
(+.f64 #s(literal -4 binary64) x) |
(*.f64 y #s(literal 3 binary64)) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 x (*.f64 y #s(literal -3 binary64)))) |
(+.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 (/.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))) |
(+.f64 (/.f64 x (*.f64 y #s(literal -3 binary64))) (/.f64 #s(literal 1/3 binary64) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal -3 binary64)))) |
(-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 x (*.f64 #s(literal 3 binary64) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal -3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal -3 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 #s(literal 3 binary64) y)) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 #s(literal 3 binary64) y))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (fma.f64 y (fma.f64 x x x) y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 3 binary64) (fma.f64 y (fma.f64 x x x) y)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (fma.f64 x y y))) (/.f64 (*.f64 x x) (*.f64 #s(literal 3 binary64) (fma.f64 x y y)))) |
(-.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 #s(literal 9 binary64) (*.f64 y y))) (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) (*.f64 #s(literal 9 binary64) (*.f64 y y)))) |
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 #s(literal 3 binary64) y))) (fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/3 binary64) y) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (fma.f64 x (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/3 binary64) y))))) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (*.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 x y) (/.f64 x y)))) (fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/3 binary64) y) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (fma.f64 x (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/3 binary64) y)))))) |
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 #s(literal 3 binary64) y)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (+.f64 #s(literal 1 binary64) x)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) y) (/.f64 x (*.f64 y #s(literal -3 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) y) (*.f64 (/.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal -3 binary64))) (/.f64 #s(literal 1/3 binary64) y)) |
(fma.f64 x (neg.f64 (/.f64 #s(literal 1/3 binary64) y)) (/.f64 #s(literal 1/3 binary64) y)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64) (/.f64 x (*.f64 y #s(literal -3 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64) (*.f64 (/.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal 1/3 binary64) y)) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y #s(literal -3 binary64)))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/3 binary64) (neg.f64 (/.f64 x y)) (/.f64 #s(literal 1/3 binary64) y)) |
(fma.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1/3 binary64) y)) |
(fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 #s(literal 3 binary64) y)) (/.f64 #s(literal 1/3 binary64) y)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/3 binary64) y)) (/.f64 x (*.f64 y #s(literal -3 binary64)))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/3 binary64) y)) (*.f64 (/.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) y)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal -3 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) y) (neg.f64 x) (/.f64 #s(literal 1/3 binary64) y)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) y)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/3 binary64) y)) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 x y) (/.f64 #s(literal 1/3 binary64) y)) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y #s(literal -3 binary64)))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))) |
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(*.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 4 binary64)) #s(literal 16 binary64)))) |
(*.f64 (*.f64 x (-.f64 #s(literal 16 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4 binary64) x))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -64 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 4 binary64)) #s(literal 16 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4 binary64) x))) |
(*.f64 (*.f64 (+.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) x) |
(+.f64 x #s(literal -4 binary64)) |
(+.f64 #s(literal -4 binary64) x) |
(+.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -4 binary64) x)))) |
(-.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -4 binary64) x))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (+.f64 x #s(literal 4 binary64)))) |
(fma.f64 #s(literal 1 binary64) x #s(literal -4 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal -4 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal -4 binary64)) |
(fma.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -4 binary64) x)))) |
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -64 binary64)) (neg.f64 (fma.f64 x (+.f64 x #s(literal 4 binary64)) #s(literal 16 binary64))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 16 binary64) (*.f64 x x)) (+.f64 #s(literal 4 binary64) x))) |
(neg.f64 (/.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 64 binary64)) (fma.f64 x (+.f64 x #s(literal 4 binary64)) #s(literal 16 binary64)))) |
(neg.f64 (/.f64 (+.f64 #s(literal -16 binary64) (*.f64 x x)) (-.f64 #s(literal -4 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 #s(literal 16 binary64) (*.f64 x #s(literal 4 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -64 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -16 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4 binary64))))) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -64 binary64)) (fma.f64 x (+.f64 x #s(literal 4 binary64)) #s(literal 16 binary64))) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -64 binary64)) (fma.f64 x x (+.f64 #s(literal 16 binary64) (*.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 x x)) (-.f64 #s(literal -4 binary64) x)) |
(/.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 64 binary64)) (neg.f64 (fma.f64 x (+.f64 x #s(literal 4 binary64)) #s(literal 16 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 64 binary64)) (neg.f64 (fma.f64 x x (+.f64 #s(literal 16 binary64) (*.f64 x #s(literal 4 binary64)))))) |
(/.f64 (+.f64 #s(literal -16 binary64) (*.f64 x x)) (+.f64 #s(literal 4 binary64) x)) |
(/.f64 (fma.f64 x x #s(literal -16 binary64)) (+.f64 x #s(literal 4 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) x)) (*.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 #s(literal -4 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 64 binary64))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal 4 binary64)) #s(literal 16 binary64))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -16 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 4 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -16 binary64))) (neg.f64 (+.f64 x #s(literal 4 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -4 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) x)) (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -4 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -4 binary64) x)) (*.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -4 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) x)) (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -4 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -4 binary64) x)))) (+.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -4 binary64) x)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4 binary64))) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 4 binary64)) #s(literal 16 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 16 binary64) (*.f64 x #s(literal 4 binary64)))))) |
(*.f64 (-.f64 #s(literal 16 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4 binary64) x))) |
(*.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal 4 binary64)) #s(literal 16 binary64))))) |
(*.f64 (+.f64 #s(literal -16 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) x))) |
(*.f64 (fma.f64 x x #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -3 binary64))) |
(neg.f64 (*.f64 y #s(literal -3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) y)) |
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 y #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) |
(/.f64 (*.f64 y #s(literal -3 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 y) #s(literal -1/3 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal -3 binary64))) |
(*.f64 (neg.f64 y) #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) (neg.f64 y)) |
Compiled 21 914 to 2 515 computations (88.5% saved)
15 alts after pruning (13 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 358 | 10 | 1 368 |
| Fresh | 3 | 3 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 364 | 15 | 1 379 |
| Status | Accuracy | Program |
|---|---|---|
| 91.7% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) | |
| 49.5% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| ▶ | 99.6% | (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) |
| 44.8% | (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x (+.f64 x #s(literal -4 binary64)))) y) #s(literal 1/3 binary64)) | |
| 99.5% | (*.f64 #s(approx (/ (- 1 x) (* 3 y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)) (-.f64 #s(literal 3 binary64) x)) | |
| 55.9% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)) | |
| ▶ | 91.8% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)) |
| ✓ | 49.6% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| ▶ | 52.4% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)) |
| 52.8% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) | |
| 52.4% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))) | |
| ✓ | 52.4% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y))) |
| 52.4% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (*.f64 (/.f64 x y) #s(literal 1/3 binary64)))) | |
| ▶ | 52.4% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))) |
| ▶ | 10.5% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 (*.f64 x #s(literal -4/3 binary64)) y))) |
Compiled 298 to 190 computations (36.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) |
| ✓ | cost-diff | 0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)) |
| ✓ | cost-diff | 128 | (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 3 binary64) y) |
| ✓ | cost-diff | 0 | (/.f64 x (*.f64 #s(literal 3 binary64) y)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x) |
| ✓ | cost-diff | 0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) y) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) y) x)) |
| ✓ | cost-diff | 0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -4/3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x #s(literal -4/3 binary64)) y) |
| ✓ | cost-diff | 0 | #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 (*.f64 x #s(literal -4/3 binary64)) y)) |
| ✓ | cost-diff | 0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 (*.f64 x #s(literal -4/3 binary64)) y))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 3 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 3 binary64) x) y) |
| ✓ | cost-diff | 128 | (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) |
| 12 598× | lower-fma.f32 |
| 12 596× | lower-fma.f64 |
| 3 478× | lower-*.f32 |
| 3 462× | lower-*.f64 |
| 1 386× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 210 |
| 0 | 53 | 211 |
| 1 | 111 | 207 |
| 2 | 255 | 207 |
| 3 | 631 | 201 |
| 4 | 1964 | 201 |
| 5 | 6300 | 201 |
| 0 | 8392 | 190 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
y |
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(literal 1/3 binary64) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 (*.f64 x #s(literal -4/3 binary64)) y))) |
#s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 (*.f64 x #s(literal -4/3 binary64)) y)) |
(/.f64 (*.f64 x #s(literal -4/3 binary64)) y) |
(*.f64 x #s(literal -4/3 binary64)) |
x |
#s(literal -4/3 binary64) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) y) x)) |
x |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x) |
(/.f64 #s(literal 1/3 binary64) y) |
#s(literal 1/3 binary64) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)) |
(*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x) |
(/.f64 x (*.f64 #s(literal 3 binary64) y)) |
x |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) |
#s(literal -1/3 binary64) |
y |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
y |
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(literal 1/3 binary64) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 (*.f64 x #s(literal -4/3 binary64)) y))) |
#s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 (*.f64 x #s(literal -4/3 binary64)) y)) |
(/.f64 (*.f64 x #s(literal -4/3 binary64)) y) |
(*.f64 x #s(literal -4/3 binary64)) |
x |
#s(literal -4/3 binary64) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 x (*.f64 #s(literal 3 binary64) y)))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) y) x)) |
(*.f64 x (/.f64 x (*.f64 #s(literal 3 binary64) y))) |
x |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x) |
(/.f64 x (*.f64 #s(literal 3 binary64) y)) |
(/.f64 #s(literal 1/3 binary64) y) |
#s(literal 1/3 binary64) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 x (*.f64 #s(literal 3 binary64) y)))) |
(*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x) |
(*.f64 x (/.f64 x (*.f64 #s(literal 3 binary64) y))) |
(/.f64 x (*.f64 #s(literal 3 binary64) y)) |
x |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) |
#s(literal -1/3 binary64) |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)) |
| ✓ | accuracy | 99.9% | (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.8% | (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 91.8% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 3 binary64) y) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x) |
| ✓ | accuracy | 99.7% | (/.f64 x (*.f64 #s(literal 3 binary64) y)) |
| ✓ | accuracy | 52.6% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) y) x)) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/3 binary64) y) |
| ✓ | accuracy | 52.6% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 x #s(literal -4/3 binary64)) y) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal -4/3 binary64)) |
| ✓ | accuracy | 56.3% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 (*.f64 x #s(literal -4/3 binary64)) y))) |
| ✓ | accuracy | 52.5% | #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 (*.f64 x #s(literal -4/3 binary64)) y)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal 3 binary64) x) y) |
| ✓ | accuracy | 99.7% | (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) |
| 66.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 166 to 32 computations (80.7% saved)
ival-mult: 18.0ms (40.2% of total)ival-div: 12.0ms (26.8% of total)const: 9.0ms (20.1% of total)ival-sub: 3.0ms (6.7% of total)ival-add: 2.0ms (4.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))> |
#<alt (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))> |
#<alt (/.f64 (-.f64 #s(literal 3 binary64) x) y)> |
#<alt (-.f64 #s(literal 3 binary64) x)> |
#<alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 (*.f64 x #s(literal -4/3 binary64)) y)))> |
#<alt #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 (*.f64 x #s(literal -4/3 binary64)) y))> |
#<alt (/.f64 (*.f64 x #s(literal -4/3 binary64)) y)> |
#<alt (*.f64 x #s(literal -4/3 binary64))> |
#<alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) y) x)))> |
#<alt (*.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))> |
#<alt (*.f64 (/.f64 #s(literal 1/3 binary64) y) x)> |
#<alt (/.f64 #s(literal 1/3 binary64) y)> |
#<alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x))> |
#<alt (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)> |
#<alt (/.f64 x (*.f64 #s(literal 3 binary64) y))> |
#<alt (*.f64 #s(literal 3 binary64) y)> |
#<alt (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))> |
#<alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y))> |
#<alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)> |
#<alt (-.f64 #s(literal 1 binary64) x)> |
#<alt (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))> |
| Outputs |
|---|
#<alt (/ 1 y)> |
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt 1/3> |
#<alt (+ 1/3 (* -1/3 x))> |
#<alt (+ 1/3 (* -1/3 x))> |
#<alt (+ 1/3 (* -1/3 x))> |
#<alt (* -1/3 x)> |
#<alt (* x (- (* 1/3 (/ 1 x)) 1/3))> |
#<alt (* x (- (* 1/3 (/ 1 x)) 1/3))> |
#<alt (* x (- (* 1/3 (/ 1 x)) 1/3))> |
#<alt (* -1/3 x)> |
#<alt (* -1 (* x (- 1/3 (* 1/3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1/3 (* 1/3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1/3 (* 1/3 (/ 1 x)))))> |
#<alt (/ 3 y)> |
#<alt (+ (* -1 (/ x y)) (* 3 (/ 1 y)))> |
#<alt (+ (* -1 (/ x y)) (* 3 (/ 1 y)))> |
#<alt (+ (* -1 (/ x y)) (* 3 (/ 1 y)))> |
#<alt (* -1 (/ x y))> |
#<alt (* x (- (* 3 (/ 1 (* x y))) (/ 1 y)))> |
#<alt (* x (- (* 3 (/ 1 (* x y))) (/ 1 y)))> |
#<alt (* x (- (* 3 (/ 1 (* x y))) (/ 1 y)))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y))))))> |
#<alt (* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y))))))> |
#<alt (* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y))))))> |
#<alt (/ (- 3 x) y)> |
#<alt (/ (- 3 x) y)> |
#<alt (/ (- 3 x) y)> |
#<alt (/ (- 3 x) y)> |
#<alt (/ (- 3 x) y)> |
#<alt (/ (- 3 x) y)> |
#<alt (/ (- 3 x) y)> |
#<alt (/ (- 3 x) y)> |
#<alt (/ (- 3 x) y)> |
#<alt (/ (- 3 x) y)> |
#<alt (/ (- 3 x) y)> |
#<alt (/ (- 3 x) y)> |
#<alt 3> |
#<alt (+ 3 (* -1 x))> |
#<alt (+ 3 (* -1 x))> |
#<alt (+ 3 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 3 (/ 1 x)) 1))> |
#<alt (* x (- (* 3 (/ 1 x)) 1))> |
#<alt (* x (- (* 3 (/ 1 x)) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1 (* 3 (/ 1 x)))))> |
#<alt (/ 1 y)> |
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ 1 y)> |
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))> |
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))> |
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))> |
#<alt (* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))> |
#<alt (* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))> |
#<alt (* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))> |
#<alt (* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 x)> |
#<alt (* -4/3 x)> |
#<alt (* -4/3 x)> |
#<alt (* -4/3 x)> |
#<alt (* -4/3 x)> |
#<alt (* -4/3 x)> |
#<alt (* -4/3 x)> |
#<alt (* -4/3 x)> |
#<alt (* -4/3 x)> |
#<alt (* -4/3 x)> |
#<alt (* -4/3 x)> |
#<alt (* -4/3 x)> |
#<alt (/ 1 y)> |
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (/ 1/3 y)> |
#<alt (/ 1/3 y)> |
#<alt (/ 1/3 y)> |
#<alt (/ 1/3 y)> |
#<alt (/ 1/3 y)> |
#<alt (/ 1/3 y)> |
#<alt (/ 1/3 y)> |
#<alt (/ 1/3 y)> |
#<alt (/ 1/3 y)> |
#<alt (/ 1/3 y)> |
#<alt (/ 1/3 y)> |
#<alt (/ 1/3 y)> |
#<alt (/ 1 y)> |
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 1/3 (/ x y))> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt (* 3 y)> |
#<alt 1> |
#<alt (+ 1 (* -4/3 x))> |
#<alt (+ 1 (* x (- (* 1/3 x) 4/3)))> |
#<alt (+ 1 (* x (- (* 1/3 x) 4/3)))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* (pow x 2) (- 1/3 (* 4/3 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x))))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* (pow x 2) (- 1/3 (* 4/3 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x))))> |
#<alt (* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x))))> |
#<alt (/ 1 y)> |
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (/ 1 y)> |
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)> |
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)> |
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)> |
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)> |
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)> |
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)> |
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)> |
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)> |
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)> |
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)> |
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)> |
#<alt (/ (* (+ 1 (* -1/3 x)) (- 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 (* -1/3 x))> |
#<alt (+ 1 (* -1/3 x))> |
#<alt (+ 1 (* -1/3 x))> |
#<alt (* -1/3 x)> |
#<alt (* x (- (/ 1 x) 1/3))> |
#<alt (* x (- (/ 1 x) 1/3))> |
#<alt (* x (- (/ 1 x) 1/3))> |
#<alt (* -1/3 x)> |
#<alt (* -1 (* x (- 1/3 (/ 1 x))))> |
#<alt (* -1 (* x (- 1/3 (/ 1 x))))> |
#<alt (* -1 (* x (- 1/3 (/ 1 x))))> |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/ (* (- 1 x) (+ (* x -1/3) 1)) y) |
| 0.0ms | y | @ | inf | (/ (* (- 1 x) (+ (* x -1/3) 1)) y) |
| 0.0ms | y | @ | -inf | (/ (* (- 1 x) (+ (* x -1/3) 1)) y) |
| 0.0ms | x | @ | -inf | (/ (* x -4/3) y) |
| 0.0ms | x | @ | inf | (/ (* x -4/3) y) |
| 1× | egg-herbie |
| 9 682× | lower-fma.f64 |
| 9 682× | lower-fma.f32 |
| 3 178× | lower-*.f64 |
| 3 178× | lower-*.f32 |
| 1 744× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 112 | 3085 |
| 1 | 294 | 3022 |
| 2 | 744 | 3022 |
| 3 | 1924 | 2898 |
| 4 | 5624 | 2844 |
| 0 | 8369 | 2628 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
1/3 |
(+ 1/3 (* -1/3 x)) |
(+ 1/3 (* -1/3 x)) |
(+ 1/3 (* -1/3 x)) |
(* -1/3 x) |
(* x (- (* 1/3 (/ 1 x)) 1/3)) |
(* x (- (* 1/3 (/ 1 x)) 1/3)) |
(* x (- (* 1/3 (/ 1 x)) 1/3)) |
(* -1/3 x) |
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) |
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) |
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) |
(/ 3 y) |
(+ (* -1 (/ x y)) (* 3 (/ 1 y))) |
(+ (* -1 (/ x y)) (* 3 (/ 1 y))) |
(+ (* -1 (/ x y)) (* 3 (/ 1 y))) |
(* -1 (/ x y)) |
(* x (- (* 3 (/ 1 (* x y))) (/ 1 y))) |
(* x (- (* 3 (/ 1 (* x y))) (/ 1 y))) |
(* x (- (* 3 (/ 1 (* x y))) (/ 1 y))) |
(* -1 (/ x y)) |
(* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y)))))) |
(* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y)))))) |
(* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y)))))) |
(/ (- 3 x) y) |
(/ (- 3 x) y) |
(/ (- 3 x) y) |
(/ (- 3 x) y) |
(/ (- 3 x) y) |
(/ (- 3 x) y) |
(/ (- 3 x) y) |
(/ (- 3 x) y) |
(/ (- 3 x) y) |
(/ (- 3 x) y) |
(/ (- 3 x) y) |
(/ (- 3 x) y) |
3 |
(+ 3 (* -1 x)) |
(+ 3 (* -1 x)) |
(+ 3 (* -1 x)) |
(* -1 x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(* -4/3 (/ x y)) |
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y)))) |
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y)))) |
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y)))) |
(* -4/3 (/ x y)) |
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y))))) |
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y))))) |
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y))))) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 x) |
(* -4/3 x) |
(* -4/3 x) |
(* -4/3 x) |
(* -4/3 x) |
(* -4/3 x) |
(* -4/3 x) |
(* -4/3 x) |
(* -4/3 x) |
(* -4/3 x) |
(* -4/3 x) |
(* -4/3 x) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(/ 1/3 y) |
(/ 1/3 y) |
(/ 1/3 y) |
(/ 1/3 y) |
(/ 1/3 y) |
(/ 1/3 y) |
(/ 1/3 y) |
(/ 1/3 y) |
(/ 1/3 y) |
(/ 1/3 y) |
(/ 1/3 y) |
(/ 1/3 y) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
1 |
(+ 1 (* -4/3 x)) |
(+ 1 (* x (- (* 1/3 x) 4/3))) |
(+ 1 (* x (- (* 1/3 x) 4/3))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x)))) |
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x)))) |
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x)))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x)))) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x)))) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x)))) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 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 (* -1/3 x)) |
(+ 1 (* -1/3 x)) |
(+ 1 (* -1/3 x)) |
(* -1/3 x) |
(* x (- (/ 1 x) 1/3)) |
(* x (- (/ 1 x) 1/3)) |
(* x (- (/ 1 x) 1/3)) |
(* -1/3 x) |
(* -1 (* x (- 1/3 (/ 1 x)))) |
(* -1 (* x (- 1/3 (/ 1 x)))) |
(* -1 (* x (- 1/3 (/ 1 x)))) |
| Outputs |
|---|
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64))) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64))) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 (* -1/3 x)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) |
(+ 1/3 (* -1/3 x)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) |
(+ 1/3 (* -1/3 x)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* x (- (* 1/3 (/ 1 x)) 1/3)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) |
(* x (- (* 1/3 (/ 1 x)) 1/3)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) |
(* x (- (* 1/3 (/ 1 x)) 1/3)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) |
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) |
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) |
(/ 3 y) |
(/.f64 #s(literal 3 binary64) y) |
(+ (* -1 (/ x y)) (* 3 (/ 1 y))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(+ (* -1 (/ x y)) (* 3 (/ 1 y))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(+ (* -1 (/ x y)) (* 3 (/ 1 y))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* x (- (* 3 (/ 1 (* x y))) (/ 1 y))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(* x (- (* 3 (/ 1 (* x y))) (/ 1 y))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(* x (- (* 3 (/ 1 (* x y))) (/ 1 y))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y)))))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y)))))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y)))))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(/ (- 3 x) y) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(/ (- 3 x) y) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(/ (- 3 x) y) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(/ (- 3 x) y) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(/ (- 3 x) y) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(/ (- 3 x) y) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(/ (- 3 x) y) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(/ (- 3 x) y) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(/ (- 3 x) y) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(/ (- 3 x) y) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(/ (- 3 x) y) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(/ (- 3 x) y) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -1 x)) |
(-.f64 #s(literal 3 binary64) x) |
(+ 3 (* -1 x)) |
(-.f64 #s(literal 3 binary64) x) |
(+ 3 (* -1 x)) |
(-.f64 #s(literal 3 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(-.f64 #s(literal 3 binary64) x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(-.f64 #s(literal 3 binary64) x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(-.f64 #s(literal 3 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal 3 binary64) x) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal 3 binary64) x) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal 3 binary64) x) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64))) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64))) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(/ (+ 1 (* -4/3 x)) y) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
(* -4/3 (/ x y)) |
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y) |
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y)))) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y)))) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y)))) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
(* -4/3 (/ x y)) |
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y) |
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y))))) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y))))) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y))))) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
(* -4/3 (/ x y)) |
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y) |
(* -4/3 (/ x y)) |
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y) |
(* -4/3 (/ x y)) |
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y) |
(* -4/3 (/ x y)) |
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y) |
(* -4/3 (/ x y)) |
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y) |
(* -4/3 (/ x y)) |
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y) |
(* -4/3 (/ x y)) |
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y) |
(* -4/3 (/ x y)) |
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y) |
(* -4/3 (/ x y)) |
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y) |
(* -4/3 (/ x y)) |
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y) |
(* -4/3 (/ x y)) |
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y) |
(* -4/3 (/ x y)) |
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y) |
(* -4/3 (/ x y)) |
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y) |
(* -4/3 (/ x y)) |
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y) |
(* -4/3 (/ x y)) |
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y) |
(* -4/3 (/ x y)) |
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y) |
(* -4/3 (/ x y)) |
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y) |
(* -4/3 (/ x y)) |
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y) |
(* -4/3 (/ x y)) |
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y) |
(* -4/3 (/ x y)) |
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y) |
(* -4/3 (/ x y)) |
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y) |
(* -4/3 (/ x y)) |
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y) |
(* -4/3 (/ x y)) |
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y) |
(* -4/3 (/ x y)) |
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y) |
(* -4/3 x) |
(*.f64 #s(literal -4/3 binary64) x) |
(* -4/3 x) |
(*.f64 #s(literal -4/3 binary64) x) |
(* -4/3 x) |
(*.f64 #s(literal -4/3 binary64) x) |
(* -4/3 x) |
(*.f64 #s(literal -4/3 binary64) x) |
(* -4/3 x) |
(*.f64 #s(literal -4/3 binary64) x) |
(* -4/3 x) |
(*.f64 #s(literal -4/3 binary64) x) |
(* -4/3 x) |
(*.f64 #s(literal -4/3 binary64) x) |
(* -4/3 x) |
(*.f64 #s(literal -4/3 binary64) x) |
(* -4/3 x) |
(*.f64 #s(literal -4/3 binary64) x) |
(* -4/3 x) |
(*.f64 #s(literal -4/3 binary64) x) |
(* -4/3 x) |
(*.f64 #s(literal -4/3 binary64) x) |
(* -4/3 x) |
(*.f64 #s(literal -4/3 binary64) x) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
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(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/3 binary64))) |
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64))) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64))) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64))) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64))) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
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 (* -1/3 x)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1/3 x)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1/3 x)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* x (- (/ 1 x) 1/3)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(* x (- (/ 1 x) 1/3)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(* x (- (/ 1 x) 1/3)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* -1 (* x (- 1/3 (/ 1 x)))) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(* -1 (* x (- 1/3 (/ 1 x)))) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(* -1 (* x (- 1/3 (/ 1 x)))) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) |
| 1× | batch-egg-rewrite |
| 4 488× | lower-fma.f32 |
| 4 486× | lower-fma.f64 |
| 4 404× | lower-/.f32 |
| 4 394× | lower-/.f64 |
| 3 840× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 189 |
| 0 | 53 | 190 |
| 1 | 196 | 186 |
| 2 | 1398 | 180 |
| 0 | 8714 | 177 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(-.f64 #s(literal 3 binary64) x) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 (*.f64 x #s(literal -4/3 binary64)) y))) |
#s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 (*.f64 x #s(literal -4/3 binary64)) y)) |
(/.f64 (*.f64 x #s(literal -4/3 binary64)) y) |
(*.f64 x #s(literal -4/3 binary64)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x) |
(/.f64 #s(literal 1/3 binary64) y) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)) |
(*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x) |
(/.f64 x (*.f64 #s(literal 3 binary64) y)) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) |
(-.f64 #s(literal 1 binary64) x) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) |
| Outputs |
|---|
(+.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(+.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (*.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 3 binary64) x) y)))) |
(+.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (neg.f64 x)))) |
(+.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) x)))) |
(+.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64))))) |
(+.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal 3 binary64) y)) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (neg.f64 (/.f64 x y)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 3 binary64) x)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (neg.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) x)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 3 binary64) x)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (neg.f64 (*.f64 x (-.f64 #s(literal 3 binary64) x))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (fma.f64 #s(literal 3 binary64) (neg.f64 x) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (-.f64 (*.f64 x x) x))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (neg.f64 x))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (neg.f64 x)) (*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (-.f64 #s(literal 3 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (/.f64 (+.f64 x #s(literal -3 binary64)) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (/.f64 (+.f64 x #s(literal -3 binary64)) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal -3 binary64))) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (/.f64 (+.f64 x #s(literal -3 binary64)) y))) |
(fma.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1/3 binary64) y) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1/3 binary64) y) (*.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 3 binary64) x) y)))) |
(fma.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1/3 binary64) y) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (neg.f64 x)))) |
(fma.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1/3 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) x)))) |
(fma.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1/3 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) #s(literal 1/3 binary64) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 3 binary64) x) y)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (neg.f64 x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 3 binary64) x)))) |
(/.f64 (+.f64 x #s(literal -3 binary64)) #s(literal -3 binary64)) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64) #s(literal 1 binary64)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)) #s(literal 27 binary64))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 #s(literal 3 binary64) x #s(literal 9 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)) #s(literal 27 binary64)))) |
(/.f64 (+.f64 #s(literal -9 binary64) (*.f64 x x)) (neg.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/3 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
(pow.f64 (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 x #s(literal -3 binary64)) #s(literal -1/3 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
(*.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x)) #s(literal 27 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 9 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/3 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64))))) |
Compiled 29 018 to 2 622 computations (91% saved)
16 alts after pruning (11 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 697 | 7 | 1 704 |
| Fresh | 4 | 4 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 703 | 16 | 1 719 |
| Status | Accuracy | Program |
|---|---|---|
| 49.5% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| ▶ | 99.6% | (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) |
| 44.8% | (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x (+.f64 x #s(literal -4 binary64)))) y) #s(literal 1/3 binary64)) | |
| ▶ | 55.9% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)) |
| 91.8% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(approx (* (- 1 x) (+ (* x -1/3) 1)) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) y)) | |
| 44.8% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(approx (* (- 1 x) (+ (* x -1/3) 1)) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) y)) | |
| ✓ | 49.6% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | 52.4% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)) |
| ▶ | 52.4% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))) |
| 52.4% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) | |
| ✓ | 52.4% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y))) |
| ✓ | 52.4% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))) |
| ✓ | 10.5% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 (*.f64 x #s(literal -4/3 binary64)) y))) |
| ▶ | 10.5% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
| 10.5% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) | |
| ▶ | 10.5% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
Compiled 271 to 167 computations (38.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) |
| ✓ | cost-diff | 0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal -3/4 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x (*.f64 y #s(literal -3/4 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 x (*.f64 y #s(literal -3/4 binary64)))) |
| ✓ | cost-diff | 0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -4/3 binary64) y) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
| ✓ | cost-diff | 0 | #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) |
| ✓ | cost-diff | 0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 3 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 3 binary64) x) y) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) |
| 16 626× | lower-fma.f32 |
| 16 622× | lower-fma.f64 |
| 4 644× | lower-*.f32 |
| 4 634× | lower-*.f64 |
| 1 152× | unsub-neg |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 196 |
| 0 | 50 | 198 |
| 1 | 93 | 188 |
| 2 | 194 | 188 |
| 3 | 408 | 188 |
| 4 | 1091 | 184 |
| 5 | 4361 | 184 |
| 0 | 8125 | 184 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) |
x |
#s(literal -1/3 binary64) |
#s(literal 1/3 binary64) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(/.f64 #s(literal -4/3 binary64) y) |
#s(literal -4/3 binary64) |
y |
x |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 x (*.f64 y #s(literal -3/4 binary64)))) |
(/.f64 x (*.f64 y #s(literal -3/4 binary64))) |
x |
(*.f64 y #s(literal -3/4 binary64)) |
y |
#s(literal -3/4 binary64) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)) |
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) |
(fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) |
x |
#s(literal -4/3 binary64) |
#s(literal 1 binary64) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))) |
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64))) |
(/.f64 x y) |
x |
y |
(*.f64 x #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
| Outputs |
|---|
(*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) |
x |
#s(literal -1/3 binary64) |
#s(literal 1/3 binary64) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) |
#s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 x (*.f64 y #s(literal -3/4 binary64)))) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(/.f64 x (*.f64 y #s(literal -3/4 binary64))) |
(/.f64 #s(literal -4/3 binary64) y) |
#s(literal -4/3 binary64) |
y |
x |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 x (*.f64 y #s(literal -3/4 binary64)))) |
(/.f64 x (*.f64 y #s(literal -3/4 binary64))) |
x |
(*.f64 y #s(literal -3/4 binary64)) |
y |
#s(literal -3/4 binary64) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)) |
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) |
(fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) |
x |
#s(literal -4/3 binary64) |
#s(literal 1 binary64) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)) |
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64))) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) |
(/.f64 x y) |
x |
y |
(*.f64 x #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 x y) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/3 binary64)) |
| ✓ | accuracy | 52.6% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))) |
| ✓ | accuracy | 99.8% | (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) |
| ✓ | accuracy | 99.8% | (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 56.3% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)) |
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal -3/4 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 x (*.f64 y #s(literal -3/4 binary64))) |
| ✓ | accuracy | 56.3% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
| ✓ | accuracy | 52.5% | #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 x (*.f64 y #s(literal -3/4 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal -4/3 binary64) y) |
| ✓ | accuracy | 56.3% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
| ✓ | accuracy | 52.5% | #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 3 binary64) x) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal 3 binary64) x) y) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) |
| 68.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 147 to 31 computations (78.9% saved)
ival-mult: 18.0ms (35.6% of total)ival-div: 15.0ms (29.7% of total)const: 12.0ms (23.7% of total)ival-sub: 2.0ms (4% of total)ival-add: 2.0ms (4% of total)adjust: 0.0ms (0% 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 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y))> |
#<alt (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64))> |
#<alt (/.f64 (-.f64 #s(literal 3 binary64) x) y)> |
#<alt (-.f64 #s(literal 3 binary64) x)> |
#<alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)))> |
#<alt #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))> |
#<alt (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)> |
#<alt (/.f64 #s(literal -4/3 binary64) y)> |
#<alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 x (*.f64 y #s(literal -3/4 binary64)))))> |
#<alt #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))> |
#<alt (/.f64 x (*.f64 y #s(literal -3/4 binary64)))> |
#<alt (*.f64 y #s(literal -3/4 binary64))> |
#<alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y))> |
#<alt (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)> |
#<alt (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))> |
#<alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64))))> |
#<alt (*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))> |
#<alt (/.f64 x y)> |
#<alt (*.f64 x #s(literal 1/3 binary64))> |
| Outputs |
|---|
#<alt (/ 1 y)> |
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)> |
#<alt (/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)> |
#<alt (/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)> |
#<alt (/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)> |
#<alt (/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)> |
#<alt (/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)> |
#<alt (/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)> |
#<alt (/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)> |
#<alt (/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)> |
#<alt (/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)> |
#<alt (/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)> |
#<alt (/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)> |
#<alt 1/3> |
#<alt (+ 1/3 (* -1/3 x))> |
#<alt (+ 1/3 (* -1/3 x))> |
#<alt (+ 1/3 (* -1/3 x))> |
#<alt (* -1/3 x)> |
#<alt (* x (- (* 1/3 (/ 1 x)) 1/3))> |
#<alt (* x (- (* 1/3 (/ 1 x)) 1/3))> |
#<alt (* x (- (* 1/3 (/ 1 x)) 1/3))> |
#<alt (* -1/3 x)> |
#<alt (* -1 (* x (- 1/3 (* 1/3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1/3 (* 1/3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1/3 (* 1/3 (/ 1 x)))))> |
#<alt (/ 3 y)> |
#<alt (+ (* -1 (/ x y)) (* 3 (/ 1 y)))> |
#<alt (+ (* -1 (/ x y)) (* 3 (/ 1 y)))> |
#<alt (+ (* -1 (/ x y)) (* 3 (/ 1 y)))> |
#<alt (* -1 (/ x y))> |
#<alt (* x (- (* 3 (/ 1 (* x y))) (/ 1 y)))> |
#<alt (* x (- (* 3 (/ 1 (* x y))) (/ 1 y)))> |
#<alt (* x (- (* 3 (/ 1 (* x y))) (/ 1 y)))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y))))))> |
#<alt (* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y))))))> |
#<alt (* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y))))))> |
#<alt (/ (- 3 x) y)> |
#<alt (/ (- 3 x) y)> |
#<alt (/ (- 3 x) y)> |
#<alt (/ (- 3 x) y)> |
#<alt (/ (- 3 x) y)> |
#<alt (/ (- 3 x) y)> |
#<alt (/ (- 3 x) y)> |
#<alt (/ (- 3 x) y)> |
#<alt (/ (- 3 x) y)> |
#<alt (/ (- 3 x) y)> |
#<alt (/ (- 3 x) y)> |
#<alt (/ (- 3 x) y)> |
#<alt 3> |
#<alt (+ 3 (* -1 x))> |
#<alt (+ 3 (* -1 x))> |
#<alt (+ 3 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 3 (/ 1 x)) 1))> |
#<alt (* x (- (* 3 (/ 1 x)) 1))> |
#<alt (* x (- (* 3 (/ 1 x)) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1 (* 3 (/ 1 x)))))> |
#<alt (/ 1 y)> |
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ 1 y)> |
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))> |
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))> |
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))> |
#<alt (* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))> |
#<alt (* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))> |
#<alt (* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))> |
#<alt (* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (/ -4/3 y)> |
#<alt (/ -4/3 y)> |
#<alt (/ -4/3 y)> |
#<alt (/ -4/3 y)> |
#<alt (/ -4/3 y)> |
#<alt (/ -4/3 y)> |
#<alt (/ -4/3 y)> |
#<alt (/ -4/3 y)> |
#<alt (/ -4/3 y)> |
#<alt (/ -4/3 y)> |
#<alt (/ -4/3 y)> |
#<alt (/ -4/3 y)> |
#<alt (/ 1 y)> |
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ 1 y)> |
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))> |
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))> |
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))> |
#<alt (* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))> |
#<alt (* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))> |
#<alt (* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))> |
#<alt (* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -3/4 y)> |
#<alt (* -3/4 y)> |
#<alt (* -3/4 y)> |
#<alt (* -3/4 y)> |
#<alt (* -3/4 y)> |
#<alt (* -3/4 y)> |
#<alt (* -3/4 y)> |
#<alt (* -3/4 y)> |
#<alt (* -3/4 y)> |
#<alt (* -3/4 y)> |
#<alt (* -3/4 y)> |
#<alt (* -3/4 y)> |
#<alt (/ 1 y)> |
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (/ 1 y)> |
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))> |
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))> |
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))> |
#<alt (* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))> |
#<alt (* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))> |
#<alt (* -4/3 (/ x y))> |
#<alt (* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))> |
#<alt (* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))> |
#<alt (* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt (/ (+ 1 (* -4/3 x)) y)> |
#<alt 1> |
#<alt (+ 1 (* -4/3 x))> |
#<alt (+ 1 (* -4/3 x))> |
#<alt (+ 1 (* -4/3 x))> |
#<alt (* -4/3 x)> |
#<alt (* x (- (/ 1 x) 4/3))> |
#<alt (* x (- (/ 1 x) 4/3))> |
#<alt (* x (- (/ 1 x) 4/3))> |
#<alt (* -4/3 x)> |
#<alt (* -1 (* x (- 4/3 (/ 1 x))))> |
#<alt (* -1 (* x (- 4/3 (/ 1 x))))> |
#<alt (* -1 (* x (- 4/3 (/ 1 x))))> |
#<alt (/ 1 y)> |
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) y))> |
#<alt (* 1/3 (/ (pow x 2) 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 (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (* (/ 1 y) (+ (* x -4/3) 1)) |
| 1.0ms | y | @ | 0 | (* (+ (* x -1/3) 1/3) (/ (- 3 x) y)) |
| 0.0ms | y | @ | inf | (* (+ (* x -1/3) 1/3) (/ (- 3 x) y)) |
| 0.0ms | x | @ | -inf | (/ x y) |
| 0.0ms | y | @ | -inf | (* y -3/4) |
| 1× | egg-herbie |
| 6 458× | lower-fma.f64 |
| 6 458× | lower-fma.f32 |
| 3 252× | lower-*.f64 |
| 3 252× | lower-*.f32 |
| 1 470× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 2879 |
| 1 | 234 | 2816 |
| 2 | 597 | 2816 |
| 3 | 1607 | 2580 |
| 4 | 4600 | 2580 |
| 0 | 8146 | 2364 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
1/3 |
(+ 1/3 (* -1/3 x)) |
(+ 1/3 (* -1/3 x)) |
(+ 1/3 (* -1/3 x)) |
(* -1/3 x) |
(* x (- (* 1/3 (/ 1 x)) 1/3)) |
(* x (- (* 1/3 (/ 1 x)) 1/3)) |
(* x (- (* 1/3 (/ 1 x)) 1/3)) |
(* -1/3 x) |
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) |
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) |
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x))))) |
(/ 3 y) |
(+ (* -1 (/ x y)) (* 3 (/ 1 y))) |
(+ (* -1 (/ x y)) (* 3 (/ 1 y))) |
(+ (* -1 (/ x y)) (* 3 (/ 1 y))) |
(* -1 (/ x y)) |
(* x (- (* 3 (/ 1 (* x y))) (/ 1 y))) |
(* x (- (* 3 (/ 1 (* x y))) (/ 1 y))) |
(* x (- (* 3 (/ 1 (* x y))) (/ 1 y))) |
(* -1 (/ x y)) |
(* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y)))))) |
(* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y)))))) |
(* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y)))))) |
(/ (- 3 x) y) |
(/ (- 3 x) y) |
(/ (- 3 x) y) |
(/ (- 3 x) y) |
(/ (- 3 x) y) |
(/ (- 3 x) y) |
(/ (- 3 x) y) |
(/ (- 3 x) y) |
(/ (- 3 x) y) |
(/ (- 3 x) y) |
(/ (- 3 x) y) |
(/ (- 3 x) y) |
3 |
(+ 3 (* -1 x)) |
(+ 3 (* -1 x)) |
(+ 3 (* -1 x)) |
(* -1 x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(* -4/3 (/ x y)) |
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y)))) |
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y)))) |
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y)))) |
(* -4/3 (/ x y)) |
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y))))) |
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y))))) |
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y))))) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(/ -4/3 y) |
(/ -4/3 y) |
(/ -4/3 y) |
(/ -4/3 y) |
(/ -4/3 y) |
(/ -4/3 y) |
(/ -4/3 y) |
(/ -4/3 y) |
(/ -4/3 y) |
(/ -4/3 y) |
(/ -4/3 y) |
(/ -4/3 y) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(* -4/3 (/ x y)) |
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y)))) |
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y)))) |
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y)))) |
(* -4/3 (/ x y)) |
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y))))) |
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y))))) |
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y))))) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -3/4 y) |
(* -3/4 y) |
(* -3/4 y) |
(* -3/4 y) |
(* -3/4 y) |
(* -3/4 y) |
(* -3/4 y) |
(* -3/4 y) |
(* -3/4 y) |
(* -3/4 y) |
(* -3/4 y) |
(* -3/4 y) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(* -4/3 (/ x y)) |
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y)))) |
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y)))) |
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y)))) |
(* -4/3 (/ x y)) |
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y))))) |
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y))))) |
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y))))) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
(/ (+ 1 (* -4/3 x)) y) |
1 |
(+ 1 (* -4/3 x)) |
(+ 1 (* -4/3 x)) |
(+ 1 (* -4/3 x)) |
(* -4/3 x) |
(* x (- (/ 1 x) 4/3)) |
(* x (- (/ 1 x) 4/3)) |
(* x (- (/ 1 x) 4/3)) |
(* -4/3 x) |
(* -1 (* x (- 4/3 (/ 1 x)))) |
(* -1 (* x (- 4/3 (/ 1 x)))) |
(* -1 (* x (- 4/3 (/ 1 x)))) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) 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) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
| Outputs |
|---|
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* 1/3 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* 1/3 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 3 binary64) x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 3 binary64) x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 3 binary64) x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 3 binary64) x)) y) |
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y) |
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 3 binary64) x)) y) |
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(* 1/3 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) |
(* 1/3 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) |
(* 1/3 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) |
(* 1/3 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) |
(* 1/3 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) |
(* 1/3 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) |
(* 1/3 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) |
(* 1/3 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) |
(* 1/3 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) |
(* 1/3 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) |
(* 1/3 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) |
(* 1/3 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) |
(* 1/3 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) |
(* 1/3 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) |
(* 1/3 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) |
(* 1/3 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) |
(* 1/3 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) |
(* 1/3 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) |
(* 1/3 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) |
(* 1/3 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
| 1× | batch-egg-rewrite |
| 5 068× | lower-fma.f32 |
| 5 064× | lower-fma.f64 |
| 4 636× | lower-*.f32 |
| 4 626× | lower-*.f64 |
| 3 984× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 178 |
| 0 | 50 | 170 |
| 1 | 181 | 170 |
| 2 | 1239 | 170 |
| 0 | 8873 | 170 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) |
(/.f64 (-.f64 #s(literal 3 binary64) x) y) |
(-.f64 #s(literal 3 binary64) x) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(/.f64 #s(literal -4/3 binary64) y) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 x (*.f64 y #s(literal -3/4 binary64)))) |
(/.f64 x (*.f64 y #s(literal -3/4 binary64))) |
(*.f64 y #s(literal -3/4 binary64)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)) |
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) |
(fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))) |
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64))) |
(/.f64 x y) |
(*.f64 x #s(literal 1/3 binary64)) |
| Outputs |
|---|
(+.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(+.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y))) |
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) y))) |
(+.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) y))) |
(+.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal 3 binary64) y)) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (/.f64 x (neg.f64 y)))) |
(+.f64 (*.f64 (/.f64 #s(literal 3 binary64) y) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64))) (*.f64 (/.f64 x (neg.f64 y)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/3 binary64))) (/.f64 y (-.f64 #s(literal 3 binary64) x))) (/.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/3 binary64))) (/.f64 y (-.f64 #s(literal 3 binary64) x)))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 x #s(literal -3 binary64)) y) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 x #s(literal -3 binary64)) y) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y))) |
(fma.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal 3 binary64) y) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (/.f64 x (neg.f64 y)))) |
(fma.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1/3 binary64) y) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1/3 binary64) y) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y))) |
(fma.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) #s(literal 1/3 binary64) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) #s(literal 1/3 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y))) |
(fma.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) y))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y))) |
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y) (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) y))) |
(fma.f64 (+.f64 x #s(literal -3 binary64)) (neg.f64 (/.f64 #s(literal 1/3 binary64) y)) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (+.f64 x #s(literal -3 binary64)) (neg.f64 (/.f64 #s(literal 1/3 binary64) y)) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y))) |
(fma.f64 (/.f64 #s(literal 3 binary64) y) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (*.f64 (/.f64 x (neg.f64 y)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y))) |
(fma.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y))) |
(fma.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -3 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -3 binary64)) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y))) |
(fma.f64 (/.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y))) |
(fma.f64 (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y))) |
(fma.f64 (/.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) y) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) y) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y))) |
(fma.f64 (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) y) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) y) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y))) |
(fma.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 3 binary64) x) (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) y))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y))) |
(fma.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) y))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -3 binary64))) (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -3 binary64))) (/.f64 #s(literal -1 binary64) y) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y))) |
(fma.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -3 binary64))) (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) y))) |
(fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) x) #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) y))) |
(fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) #s(literal -1/3 binary64)) x (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) y))) |
(neg.f64 (*.f64 (/.f64 (+.f64 x #s(literal -3 binary64)) y) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)))) |
(neg.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (/.f64 (+.f64 x #s(literal -3 binary64)) y))) |
(neg.f64 (*.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal -1 binary64) y))) |
(neg.f64 (/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 3 binary64) x)) (neg.f64 y))) |
(neg.f64 (/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (+.f64 x #s(literal -3 binary64))) y)) |
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (/.f64 y (-.f64 #s(literal 3 binary64) x))) |
(/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 3 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (-.f64 #s(literal 3 binary64) x)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)))) |
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 #s(literal 16/9 binary64) x)) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 x (*.f64 #s(literal 16/9 binary64) x)) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 x (*.f64 #s(literal 16/9 binary64) x)) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 4/3 binary64) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -64/27 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 16/9 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 4/3 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -64/27 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 16/9 binary64) x) #s(literal -4/3 binary64)))))) |
(*.f64 (fma.f64 x (*.f64 #s(literal 16/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -64/27 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 #s(literal 16/9 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 4/3 binary64))))))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 #s(literal 16/9 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -16/9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 4/3 binary64))))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)) |
(neg.f64 (*.f64 (/.f64 x (neg.f64 y)) (*.f64 x #s(literal 1/3 binary64)))) |
(neg.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 x (neg.f64 y)))) |
(neg.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1 binary64) y))) |
(neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) (neg.f64 y))) |
(neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (*.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 y x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) |
(/.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1/3 binary64))) (/.f64 y (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) y) |
(pow.f64 (/.f64 y (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) #s(literal -1 binary64)) |
(*.f64 x (/.f64 x (*.f64 #s(literal 3 binary64) y))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64))) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 x y)) |
(*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x) |
(*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 x (*.f64 #s(literal 3 binary64) y))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64)) x) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 x (neg.f64 y))) |
(neg.f64 (/.f64 x (neg.f64 y))) |
(/.f64 x y) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/3 binary64))) |
(neg.f64 (*.f64 x #s(literal -1/3 binary64))) |
(/.f64 x #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) |
(/.f64 (neg.f64 x) #s(literal -3 binary64)) |
(*.f64 x #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (neg.f64 x)) |
(*.f64 #s(literal 1/3 binary64) x) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64))) |
(*.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/3 binary64))) |
(*.f64 (neg.f64 x) #s(literal -1/3 binary64)) |
Compiled 17 104 to 1 898 computations (88.9% saved)
16 alts after pruning (6 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 177 | 0 | 1 177 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 177 | 16 | 1 193 |
| Status | Accuracy | Program |
|---|---|---|
| 49.5% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| ✓ | 99.6% | (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) |
| 44.8% | (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x (+.f64 x #s(literal -4 binary64)))) y) #s(literal 1/3 binary64)) | |
| ✓ | 55.9% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)) |
| 91.8% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(approx (* (- 1 x) (+ (* x -1/3) 1)) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) y)) | |
| 44.8% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(approx (* (- 1 x) (+ (* x -1/3) 1)) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) y)) | |
| ✓ | 49.6% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | 52.4% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)) |
| ✓ | 52.4% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))) |
| 52.4% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) | |
| ✓ | 52.4% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y))) |
| ✓ | 52.4% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))) |
| ✓ | 10.5% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 (*.f64 x #s(literal -4/3 binary64)) y))) |
| ✓ | 10.5% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
| 10.5% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) | |
| ✓ | 10.5% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
Compiled 418 to 170 computations (59.3% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 (*.f64 x #s(literal -4/3 binary64)) y))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (*.f64 (/.f64 x y) #s(literal 1/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(approx (* (- 1 x) (+ (* x -1/3) 1)) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(approx (* (- 1 x) (+ (* x -1/3) 1)) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) y)) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x (+.f64 x #s(literal -4 binary64)))) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x (+.f64 #s(literal -4 binary64) x))) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)) |
(*.f64 #s(approx (/ (- 1 x) (* 3 y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)) (-.f64 #s(literal 3 binary64) x)) |
(*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 3 binary64) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| Outputs |
|---|
(*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) |
5 calls:
| 25.0ms | (*.f64 y #s(literal 3 binary64)) |
| 10.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 9.0ms | x |
| 8.0ms | y |
| 7.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | y |
| 99.6% | 1 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 99.6% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 99.6% | 1 | (*.f64 y #s(literal 3 binary64)) |
Compiled 33 to 24 computations (27.3% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 (*.f64 x #s(literal -4/3 binary64)) y))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (*.f64 (/.f64 x y) #s(literal 1/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(approx (* (- 1 x) (+ (* x -1/3) 1)) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(approx (* (- 1 x) (+ (* x -1/3) 1)) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) y)) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x (+.f64 x #s(literal -4 binary64)))) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x (+.f64 #s(literal -4 binary64) x))) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)) |
(*.f64 #s(approx (/ (- 1 x) (* 3 y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)) (-.f64 #s(literal 3 binary64) x)) |
| Outputs |
|---|
(*.f64 #s(approx (/ (- 1 x) (* 3 y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)) (-.f64 #s(literal 3 binary64) x)) |
5 calls:
| 13.0ms | x |
| 7.0ms | (*.f64 y #s(literal 3 binary64)) |
| 7.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 7.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | y |
| 99.5% | 1 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 99.5% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 99.5% | 1 | (*.f64 y #s(literal 3 binary64)) |
Compiled 33 to 24 computations (27.3% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 (*.f64 x #s(literal -4/3 binary64)) y))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (*.f64 (/.f64 x y) #s(literal 1/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(approx (* (- 1 x) (+ (* x -1/3) 1)) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(approx (* (- 1 x) (+ (* x -1/3) 1)) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) y)) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x (+.f64 x #s(literal -4 binary64)))) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x (+.f64 #s(literal -4 binary64) x))) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)) |
| Outputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(approx (* (- 1 x) (+ (* x -1/3) 1)) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)) |
5 calls:
| 7.0ms | x |
| 7.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 6.0ms | (*.f64 y #s(literal 3 binary64)) |
| 6.0ms | y |
| 5.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | x |
| 91.8% | 1 | y |
| 99.9% | 2 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 99.9% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 91.8% | 1 | (*.f64 y #s(literal 3 binary64)) |
Compiled 33 to 24 computations (27.3% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 (*.f64 x #s(literal -4/3 binary64)) y))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (*.f64 (/.f64 x y) #s(literal 1/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(approx (* (- 1 x) (+ (* x -1/3) 1)) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) y)) |
| Outputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
3 calls:
| 6.0ms | x |
| 5.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 4.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 3 | x |
| 79.5% | 2 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 98.2% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
Compiled 25 to 18 computations (28% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 (*.f64 x #s(literal -4/3 binary64)) y))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (*.f64 (/.f64 x y) #s(literal 1/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))) |
1 calls:
| 4.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 (*.f64 x #s(literal -4/3 binary64)) y))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)) |
| Outputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)) |
5 calls:
| 4.0ms | y |
| 3.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 3.0ms | (*.f64 y #s(literal 3 binary64)) |
| 3.0ms | x |
| 2.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.9% | 1 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 55.9% | 1 | y |
| 55.9% | 1 | (*.f64 y #s(literal 3 binary64)) |
| 55.9% | 1 | x |
| 55.9% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
Compiled 33 to 24 computations (27.3% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (/.f64 (*.f64 x #s(literal -4/3 binary64)) y))) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
| Outputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
5 calls:
| 3.0ms | (*.f64 y #s(literal 3 binary64)) |
| 3.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 3.0ms | x |
| 2.0ms | y |
| 2.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.6% | 1 | y |
| 49.6% | 1 | (*.f64 y #s(literal 3 binary64)) |
| 55.5% | 2 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 55.4% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 56.2% | 2 | x |
Compiled 33 to 24 computations (27.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
5 calls:
| 1.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 1.0ms | (*.f64 y #s(literal 3 binary64)) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.6% | 1 | y |
| 49.6% | 1 | (*.f64 y #s(literal 3 binary64)) |
| 49.6% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 49.6% | 1 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 49.6% | 1 | x |
Compiled 33 to 24 computations (27.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.3625440403750496e+282 | 4.308504139433361e+287 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.2254824475969524 | 6683.832771446928 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.2254824475969524 | 6683.832771446928 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | -5002.893332753024 | -0.055597832163906666 |
| 8.0ms | 144× | 0 | valid |
Compiled 169 to 113 computations (33.1% saved)
ival-div: 2.0ms (40.6% of total)ival-mult: 2.0ms (40.6% of total)ival-sub: 1.0ms (20.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 20× | *-commutative_binary64 |
| 6× | +-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 262 |
| 1 | 81 | 262 |
| 2 | 86 | 262 |
| 3 | 88 | 262 |
| 4 | 89 | 262 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) |
(*.f64 #s(approx (/ (- 1 x) (* 3 y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)) (-.f64 #s(literal 3 binary64) x)) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552 binary64)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(approx (* (- 1 x) (+ (* x -1/3) 1)) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) y) x)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)) |
(if (<=.f64 x #s(literal -3/4 binary64)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
(*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) |
(*.f64 #s(approx (/ (- 1 x) (* 3 y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)) (-.f64 #s(literal 3 binary64) x)) |
(*.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (/ (- 1 x) (* 3 y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552 binary64)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(approx (* (- 1 x) (+ (* x -1/3) 1)) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552 binary64)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(approx (* (- 1 x) (+ (* x -1/3) 1)) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (/.f64 x (*.f64 #s(literal 3 binary64) y))))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y)))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) y) x)))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 x (*.f64 x (/.f64 #s(literal 1/3 binary64) y))))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)) |
(if (<=.f64 x #s(literal -3/4 binary64)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))) |
(if (<=.f64 x #s(literal -3/4 binary64)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ 1 y) (+ (* x -4/3) 1)) (*.f64 x (/.f64 #s(literal -4/3 binary64) y)))) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| 9 682× | lower-fma.f64 |
| 9 682× | lower-fma.f32 |
| 8 634× | lower-fma.f64 |
| 8 634× | lower-fma.f32 |
| 7 866× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 446 |
| 1 | 216 | 446 |
| 2 | 543 | 446 |
| 3 | 1549 | 418 |
| 4 | 4034 | 418 |
| 5 | 7651 | 418 |
| 0 | 8497 | 384 |
| 0 | 37 | 189 |
| 0 | 53 | 190 |
| 1 | 196 | 186 |
| 2 | 1398 | 180 |
| 0 | 8714 | 177 |
| 0 | 9 | 27 |
| 0 | 14 | 27 |
| 1 | 59 | 27 |
| 2 | 433 | 27 |
| 3 | 7340 | 27 |
| 0 | 8063 | 27 |
| 0 | 112 | 3085 |
| 1 | 294 | 3022 |
| 2 | 744 | 3022 |
| 3 | 1924 | 2898 |
| 4 | 5624 | 2844 |
| 0 | 8369 | 2628 |
| 0 | 101 | 2514 |
| 1 | 278 | 2514 |
| 2 | 722 | 2462 |
| 3 | 2013 | 2252 |
| 4 | 6353 | 2252 |
| 0 | 8360 | 2063 |
| 0 | 31 | 149 |
| 0 | 46 | 149 |
| 1 | 173 | 145 |
| 2 | 1147 | 145 |
| 0 | 8739 | 145 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 375 to 182 computations (51.5% saved)
(negabs y)
Compiled 434 to 192 computations (55.8% saved)
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